Finite Group Databasebeta

← #35197314

Subgroups — #35197314

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#23777458C214yesmaximal, complemented
2#23777454C214yesmaximal, complemented
3#23777424C214yesmaximal, complemented
4#23777420C214yesmaximal, complemented
5#23777353C214yesmaximal, complemented
6#23777349C214yesmaximal, complemented
7#23777330C214yesmaximal, complemented
8#23777326C214yesmaximal, complemented
9#23777243C212yesmaximal, complemented
10#23777237C212yesmaximal, complemented
11#23777235C212yesmaximal, complemented
12#23777200C211yesmaximal, characteristic, complemented
13#23777161C211yesmaximal, characteristic, complemented
14#23777112C212yesmaximal, complemented
15#23777090C211yesmaximal, characteristic, complemented
16#23777088C211yesmaximal, characteristic, complemented
17#23777083C212yesmaximal, complemented
18#23777032C212yesmaximal, complemented
19#23776819C212yesmaximal, complemented
20#23776809C211yesmaximal, characteristic, complemented
21#23776808C212yesmaximal, complemented
22#23776786C212yesmaximal, complemented
23C2×#19099146C212yesmaximal, complemented
24#538×D79C212yesmaximal, complemented
25C4×#14579206C212yesmaximal, complemented
26C2×#19099035C211yesmaximal, characteristic, complemented
27C79×#3459C211yesmaximal, characteristic, complemented
28C2×#14579206C2212yes—
29C22×D4×D79C2211yescharacteristic
30#19099297C2214yescomplemented
31#19099296C2214yescomplemented
32#19099285C2214yescomplemented
33#19099284C2212yescomplemented
34#19099281C2212yescomplemented
35#19099280C2214yescomplemented
36#19099277C2212yescomplemented
37#19099276C2214yescomplemented
38#19099276C2212yescomplemented
39#19099275C2214yescomplemented
40#19099271C2214yescomplemented
41#19099267C2214yescomplemented
42#19099267C2214yescomplemented
43#19099266C2212yescomplemented
44#19099265C2214yescomplemented
45#19099264C2214yescomplemented
46#19099264C2214yescomplemented
47#19099263C2212yescomplemented
48#19099262C2214yescomplemented
49#19099262C2214yescomplemented
50#19099258C2214yescomplemented
51#19099257C2214yescomplemented
52#19099256C2214yescomplemented
53#19099256C2214yescomplemented
54#19099254C2212yescomplemented
55#19099251C2212yescomplemented
56#19099250C2214yescomplemented
57#19099246C2214yescomplemented
58#19099245C2214yescomplemented
59#19099244C2214yescomplemented
60#19099242C2214yescomplemented
61#19099240C2214yescomplemented
62#19099240C2214yescomplemented
63#19099240C2214yescomplemented
64#19099238C2214yescomplemented
65#19099237C2214yescomplemented
66#19099237C2214yescomplemented
67#19099236C2214yescomplemented
68#19099236C2214yescomplemented
69#19099236C2214yescomplemented
70#19099236C2214yescomplemented
71#19099232C2212yescomplemented
72#19099231C2212yescomplemented
73#19099226C2214yescomplemented
74#19099225C2212yescomplemented
75#19099221C2212yescomplemented
76#19099219C2214yescomplemented
77#19099215C2212yescomplemented
78#19099212C2212yescomplemented
79#19099211C2214yescomplemented
80#19099208C2214yescomplemented
81#19099208C2212yescomplemented
82#19099206C2212yescomplemented
83#19099205C2214yescomplemented
84#19099205C2214yescomplemented
85#19099205C2214yescomplemented
86#19099205C2214yescomplemented
87#19099204C2214yescomplemented
88#19099204C2214yescomplemented
89#19099202C2214yescomplemented
90#19099202C2214yescomplemented
91#19099202C2214yescomplemented
92#19099201C2214yescomplemented
93#19099200C2214yescomplemented
94#19099200C2214yescomplemented
95#19099200C2214yescomplemented
96#19099200C2214yescomplemented
97#19099197C2214yescomplemented
98#19099197C2214yescomplemented
99#19099195C2214yescomplemented
100#19099195C2214yescomplemented
101#19099195C2214yescomplemented
102#19099192C2212yescomplemented
103#19099189C2211yescharacteristic, complemented
104#19099188C2212yescomplemented
105#19099183C2214yescomplemented
106#19099179C2214yescomplemented
107#19099179C2214yescomplemented
108#19099177C2214yescomplemented
109#19099172C2214yescomplemented
110#19099165C2214yescomplemented
111#19099165C2214yescomplemented
112#19099163C2214yescomplemented
113#19099161C2214yescomplemented
114#19099160C2212yescomplemented
115#19099159C2214yescomplemented
116#19099157C2214yescomplemented
117#19099155C2214yescomplemented
118#19099153C2212yescomplemented
119#19099153C2212yescomplemented
120#19099152C2214yescomplemented
121#19099152C2214yescomplemented
122#19099151C2212yescomplemented
123#19099150C2212yescomplemented
124#19099150C2212yescomplemented
125#19099149C2214yescomplemented
126#19099149C2214yescomplemented
127#19099148C2214yescomplemented
128#19099147C2214yescomplemented
129#19099146C2214yescomplemented
130#19099146C2214yescomplemented
131#19099146C2214yescomplemented
132#19099146C2214yescomplemented
133#19099146C2214yescomplemented
134#19099146C2214yescomplemented
135#19099146C2214yescomplemented
136#19099146C2214yescomplemented
137#19099146C2214yescomplemented
138#19099145C2214yescomplemented
139#19099140C2212yescomplemented
140#19099128C2214yescomplemented
141#19099125C2211yescharacteristic, complemented
142#19099124C2214yescomplemented
143#19099122C2212yescomplemented
144#19099121C2212yescomplemented
145#19099115C2212yescomplemented
146#19099112C2214yescomplemented
147#19099108C2212yescomplemented
148#19099108C2214yescomplemented
149#19099099C2214yescomplemented
150#19099098C2214yescomplemented
151#19099098C2214yescomplemented
152#19099097C2212yescomplemented
153#19099096C2214yescomplemented
154#19099096C2214yescomplemented
155#19099096C2214yescomplemented
156#19099093C2214yescomplemented
157#19099090C2214yescomplemented
158#19099090C2214yescomplemented
159#19099090C2214yescomplemented
160C2×#14579156C2212yescomplemented
161C2×#14579155C2212yescomplemented
162#126×D79C2214yescomplemented
163C2×#14579149C2212yescomplemented
164C2×#14579147C2212yescomplemented
165#124×D79C2214yescomplemented
166#19099076C2212yescomplemented
167#19099076C2212yescomplemented
168#19099076C2214yescomplemented
169#19099074C2212yescomplemented
170#19099073C2212yescomplemented
171#19099073C2212yescomplemented
172#19099072C2214yescomplemented
173#19099071C2214yescomplemented
174#19099071C2214yescomplemented
175#19099069C2214yescomplemented
176C2×#14579146C2212yescomplemented
177C2×#14579144C2212yescomplemented
178#123×D79C2214yescomplemented
179C2×#14579138C2212yescomplemented
180C22⋊Q8×D79C2212yescomplemented
181C2×#14579135C2212yescomplemented
182C2×#14579134C2212yescomplemented
183C2×#14579133C2212yescomplemented
184#121×D79C2212yescomplemented
185#121×D79C2214yescomplemented
186C2×#14579131C2212yescomplemented
187C2×#14579129C2212yescomplemented
188#120×D79C2214yescomplemented
189#19099044C2214yescomplemented
190#19099042C2214yescomplemented
191#19099042C2214yescomplemented
192#19099038C2212yescomplemented
193#19099036C2212yes—
194#19099036C2212yescomplemented
195#19099036C2214yescomplemented
196#19099035C2214yescomplemented
197#19099035C2214yescomplemented
198#19099035C2214yescomplemented
199#19099035C2214yescomplemented
200#19099035C2214yescomplemented
201#19099035C2214yescomplemented
202C4×#11929624C2214yescomplemented
203C4×#11929623C2214yescomplemented
204C4×#11929623C2214yescomplemented
205C2×C4×D316C2211yescharacteristic, complemented
206C2×D4×Dic79C2211yescharacteristic, complemented
207C2×#14579123C2211yescharacteristic, complemented
208C2×C4×C22⋊D79C2211yescharacteristic
209C2×C4×C22⋊D79C2211yescharacteristic, complemented
210C2×C4×C22⋊D79C2212yescomplemented
211C2×C4×C22⋊D79C2214yescomplemented
212C2×(C22⋊D79)⋊C4C2211yescharacteristic
213C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
214C4×D4×D79C2214yescomplemented
215C4×D4×D79C2214yescomplemented
216C2×#14579119C2211yescharacteristic, complemented
217C2×#14579118C2211yescharacteristic, complemented
218C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
219C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
220C2×C22⋊C4×D79C2211yescharacteristic, complemented
221C2×C22⋊C4×D79C2211yescharacteristic, complemented
222#543×C79C2211yescharacteristic, complemented
223#539×C79C2212yescomplemented
224#539×C79C2214yescomplemented
225#538×C79C2212yescomplemented
226#538×C79C2214yescomplemented
227#534×C79C2212yescomplemented
228#534×C79C2211yescharacteristic, complemented
229#529×C79C2212yescomplemented
230#529×C79C2214yescomplemented
231#525×C79C2212yescomplemented
232#525×C79C2214yescomplemented
233C2×C4×D4×C79C2211yescharacteristic, complemented
234C2×C4×D4×C79C2212yescomplemented
235C24×D79C2311yescharacteristic
236C24×D79C2311yescharacteristic
237#14579206—216no—
238C2×#11929625C2312yescomplemented
239C2×#11929625C2312yescomplemented
240C2×#11929624C2314yes—
241C2×#11929624C2312yescomplemented
242C2×#11929623C2314yes—
243C2×#11929623C2314yes—
244C2×#11929623C2312yescomplemented
245C2×#11929623C2312yescomplemented
246C2×#11929623C2314yescomplemented
247C22×Dic158C2312yescomplemented
248C2×Q8×D79C2312yescomplemented
249C22×D316C2311yescharacteristic
250C22×D316C2312yes—
251C22×D316C2312yes—
252C22×C22⋊D79C2314yes—
253C22×C22⋊D79C2312yes—
254C22×C22⋊D79C2311yescharacteristic
255C22×C22⋊D79C2312yes—
256C22×C22⋊D79C2312yes—
257C22×C22⋊D79C2311yescharacteristic
258C22×C22⋊D79C2312yescomplemented
259C2×D4×D79—28no—
260C2×D4×D79C2314yes—
261C2×D4×D79C2314yes—
262C2×D4×D79C2314yes—
263C2×D4×D79C2314yes—
264C2×D4×D79C2314yes—
265C2×D4×D79C2314yes—
266C2×D4×D79C2312yescomplemented
267C23×Dic79C2311yescharacteristic
268C23×Dic79C2311yescharacteristic
269C22×C4×D79C2311yescharacteristic
270C22×C4×D79C2311yescharacteristic
271C22×C4×D79C2311yescharacteristic
272C22×C4×D79C2311yescharacteristic
273C22×C4×D79C2311yescharacteristic
274C22×C4×D79C2314yescomplemented
275C22×C4×D79C2312yescomplemented
276#14579160C2312yescomplemented
277#14579160C2312yescomplemented
278#14579160C2314yescomplemented
279#14579159C2314yescomplemented
280#14579159C2312yescomplemented
281#14579157C2314yes—
282#14579157C2314yes—
283#14579157C2312yescomplemented
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579156C2314yes—
289#14579156C2314yes—
290#14579156C2314yescomplemented
291#14579156C2314yescomplemented
292#14579156C2314yescomplemented
293#14579156C2314yescomplemented
294#14579156C2314yescomplemented
295#14579155C2314yes—
296#14579155C2314yes—
297#14579155C2314yescomplemented
298#14579155C2314yescomplemented
299#14579155C2314yescomplemented
300#14579154C2314yescomplemented
301#14579154C2314yescomplemented
302#14579154C2314yescomplemented
303#14579154C2314yescomplemented
304#14579154C2314yescomplemented
305#14579153C2312yescomplemented
306#14579152C2314yescomplemented
307#14579151C2314yescomplemented
308#14579151C2314yescomplemented
309#14579151C2314yescomplemented
310#14579151C2314yescomplemented
311#14579151C2314yescomplemented
312#14579151C2314yescomplemented
313#14579150C2314yes—
314#14579150C2314yes—
315#14579149C2314yes—
316#14579149C2314yes—
317#14579149C2314yescomplemented
318#14579149C2312yescomplemented
319#14579149C2314yescomplemented
320#14579148C2314yescomplemented
321#14579147C2314yes—
322#14579147C2314yes—
323#14579147C2314yes—
324#14579147C2314yes—
325#14579147C2314yes—
326#14579147C2314yes—
327#14579147C2314yescomplemented
328#14579147C2314yescomplemented
329#14579147C2314yescomplemented
330#14579147C2314yescomplemented
331#14579147C2314yescomplemented
332#14579147C2314yescomplemented
333#14579146C2314yes—
334#14579146C2314yes—
335#14579146C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579146C2314yes—
339#14579146C2314yescomplemented
340#14579146C2314yescomplemented
341#14579146C2314yescomplemented
342#14579146C2314yescomplemented
343#14579146C2314yescomplemented
344#14579146C2314yescomplemented
345#14579145C2314yes—
346#14579145C2314yes—
347#14579145C2314yescomplemented
348#14579145C2314yescomplemented
349#14579145C2314yescomplemented
350#14579144C2314yes—
351#14579144C2314yes—
352#14579144C2314yes—
353#14579144C2314yescomplemented
354#14579144C2314yescomplemented
355#14579144C2314yescomplemented
356#14579143C2314yescomplemented
357#14579143C2314yescomplemented
358#14579143C2314yescomplemented
359#14579143C2314yescomplemented
360#14579143C2314yescomplemented
361#14579143C2314yescomplemented
362#14579142C2314yes—
363#14579142C2314yescomplemented
364#14579142C2314yescomplemented
365#14579141C2312yescomplemented
366#14579141C2314yescomplemented
367#14579141C2314yescomplemented
368#14579141C2312yescomplemented
369#14579141C2312yescomplemented
370#14579140C2312yes—
371#14579140C2312yes—
372#14579140C2312yescomplemented
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yescomplemented
376#14579139C2314yescomplemented
377#14579139C2314yescomplemented
378#14579139C2314yescomplemented
379#14579139C2314yescomplemented
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yescomplemented
383#14579138C2314yescomplemented
384#14579138C2314yescomplemented
385#14579138C2314yescomplemented
386#14579138C2314yescomplemented
387#14579138C2314yescomplemented
388#14579138C2314yescomplemented
389#14579137C2312yescomplemented
390#14579137C2312yescomplemented
391#14579137C2314yescomplemented
392#14579137C2312yescomplemented
393#14579136C2314yes—
394#14579136C2314yes—
395#14579136C2314yes—
396#14579136C2314yes—
397#14579136C2312yescomplemented
398#14579136C2312yescomplemented
399#14579136C2312yescomplemented
400#14579135C2312yes—
401#14579135C2314yes—
402#14579135C2314yes—
403#14579135C2312yes—
404#14579135C2314yescomplemented
405#14579135C2312yescomplemented
406#14579135C2314yescomplemented
407#14579134C2314yes—
408#14579134C2314yes—
409#14579134C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yescomplemented
416#14579134C2314yescomplemented
417#14579134C2314yescomplemented
418#14579134C2314yescomplemented
419#14579134C2314yescomplemented
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yescomplemented
429#14579133C2314yescomplemented
430#14579133C2314yescomplemented
431#14579133C2314yescomplemented
432#14579133C2314yescomplemented
433#14579132C2312yescomplemented
434#14579132C2314yescomplemented
435#14579132C2312yescomplemented
436#14579132C2312yescomplemented
437#14579131C2314yes—
438#14579131C2314yes—
439#14579131C2314yes—
440#14579131C2314yes—
441#14579131C2314yes—
442#14579131C2314yes—
443#14579131C2314yes—
444#14579131C2314yes—
445#14579131C2314yescomplemented
446#14579131C2314yescomplemented
447#14579130C2314yes—
448#14579129C2314yes—
449#14579129C2314yes—
450#14579129C2314yes—
451#14579129C2314yes—
452#14579129C2314yes—
453#14579129C2314yes—
454#14579129C2314yes—
455#14579129C2314yescomplemented
456Q8×Dic79C2312yescomplemented
457C4×Dic158C2314yescomplemented
458C4×Dic158C2312yescomplemented
459C4×Dic158C2314yescomplemented
460#14579126C2314yescomplemented
461#14579126C2314yescomplemented
462#14579126C2314yescomplemented
463#14579126C2312yescomplemented
464#14579126C2314yescomplemented
465C4×D316C2312yes—
466C4×D316C2312yes—
467C4×D316C2312yes—
468C4×D316C2312yes—
469C4×D316C2314yescomplemented
470C4×D316C2312yescomplemented
471C4×D316C2314yescomplemented
472D4×Dic79C2314yes—
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476D4×Dic79C2312yescomplemented
477D4×Dic79C2314yescomplemented
478D4×Dic79C2314yescomplemented
479D4×Dic79C2314yescomplemented
480#14579123C2314yes—
481#14579123C2314yes—
482#14579123C2314yes—
483#14579123C2314yes—
484#14579123C2314yescomplemented
485#14579123C2314yescomplemented
486#14579123C2314yescomplemented
487#14579123C2312yescomplemented
488#14579123C2314yescomplemented
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2312yes—
494C4×C22⋊D79C2312yes—
495C4×C22⋊D79C2312yes—
496C4×C22⋊D79C2312yes—
497C4×C22⋊D79C2314yes—
498C4×C22⋊D79C2314yes—
499C4×C22⋊D79C2314yescomplemented
500C4×C22⋊D79C2314yescomplemented
501C4×C22⋊D79C2314yescomplemented
502C4×C22⋊D79C2314yescomplemented
503C4×C22⋊D79C2314yescomplemented
504C4×C22⋊D79C2314yescomplemented
505C4×C22⋊D79C2314yescomplemented
506C4×C22⋊D79C2314yescomplemented
507C4×C22⋊D79C2314yescomplemented
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)⋊C4C2314yescomplemented
519(C22⋊D79)⋊C4C2314yescomplemented
520(C22⋊D79)⋊C4C2314yescomplemented
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#14579120C2314yescomplemented
528#14579120C2312yescomplemented
529#14579119C2314yes—
530#14579119C2314yes—
531#14579119C2314yescomplemented
532#14579119C2312yescomplemented
533#14579119C2312yescomplemented
534#14579119C2314yescomplemented
535#14579119C2314yescomplemented
536#14579119C2312yescomplemented
537#14579119C2312yescomplemented
538#14579118C2314yes—
539#14579118C2314yes—
540#14579118C2314yescomplemented
541#14579118C2314yescomplemented
542#14579118C2314yescomplemented
543#14579117C2314yes—
544#14579117C2314yescomplemented
545#14579117C2314yescomplemented
546#14579117C2314yescomplemented
547#14579117C2314yescomplemented
548#14579117C2314yescomplemented
549C2×C4⋊Dic79C2311yescharacteristic
550C2×C4⋊Dic79C2312yescomplemented
551C2×Dic79⋊C4C2311yescharacteristic
552C2×Dic79⋊C4C2311yescharacteristic
553C2×Dic79⋊C4C2312yescomplemented
554C2×Dic79⋊C4C2312yescomplemented
555C2×Dic79⋊C4C2314yescomplemented
556C2×Dic79⋊C4C2312yescomplemented
557C2×Dic79⋊C4C2312yescomplemented
558C4⋊C4×D79C2314yescomplemented
559C4⋊C4×D79C2312yescomplemented
560C4⋊C4×D79C2314yescomplemented
561C4⋊C4×D79C2314yescomplemented
562C4⋊C4×D79C2312yescomplemented
563C2×C22⋊Dic79C2311yescharacteristic
564C2×C22⋊Dic79C2312yes—
565C2×C22⋊Dic79C2311yescharacteristic
566C2×C22⋊Dic79C2314yescomplemented
567C2×C22⋊Dic79C2312yescomplemented
568C2×(C2×D79)⋊C4C2311yescharacteristic
569C2×(C2×D79)⋊C4C2311yescharacteristic
570C2×(C2×D79)⋊C4C2311yescharacteristic
571C2×(C2×D79)⋊C4C2311yescharacteristic
572C2×(C2×D79)⋊C4C2312yes—
573C2×(C2×D79)⋊C4C2312yes—
574C2×(C2×D79)⋊C4C2312yes—
575C2×(C2×D79)⋊C4C2312yes—
576C2×(C2×D79)⋊C4C2311yescharacteristic
577C2×(C2×D79)⋊C4C2311yescharacteristic
578C2×(C2×D79)⋊C4C2311yescharacteristic
579C2×(C2×D79)⋊C4C2314yes—
580C2×(C2×D79)⋊C4C2312yes—
581C2×(C2×D79)⋊C4C2312yes—
582C2×(C2×D79)⋊C4C2314yes—
583C2×(C2×D79)⋊C4C2312yes—
584C2×(C2×D79)⋊C4C2312yes—
585C2×(C2×D79)⋊C4C2311yescharacteristic
586C2×(C2×D79)⋊C4C2312yescomplemented
587C2×(C2×D79)⋊C4C2314yescomplemented
588C2×(C2×D79)⋊C4C2312yescomplemented
589C22⋊C4×D79C2314yes—
590C22⋊C4×D79C2314yes—
591C22⋊C4×D79C2314yes—
592C22⋊C4×D79C2314yes—
593C22⋊C4×D79C2314yes—
594C22⋊C4×D79C2314yes—
595C22⋊C4×D79C2314yes—
596C22⋊C4×D79C2314yescomplemented
597C22⋊C4×D79C2314yescomplemented
598C22⋊C4×D79C2314yescomplemented
599C22⋊C4×D79C2314yescomplemented
600C2×C4×Dic79C2311yescharacteristic
601C2×C4×Dic79C2311yescharacteristic
602C2×C4×Dic79C2311yescharacteristic
603C2×C4×Dic79C2312yescomplemented
604C2×C4×Dic79C2314yescomplemented
605C42×D79C2314yescomplemented
606C42×D79C2314yescomplemented
607C2×#41×C79C2312yescomplemented
608C22×D4×C79C2312yes—
609C22×D4×C79C2311yescharacteristic
610C23×C4×C79C2311yescharacteristic
611C23×C4×C79C2311yescharacteristic
612C23×C4×C79C2312yescomplemented
613#126×C79C2314yescomplemented
614#126×C79C2314yescomplemented
615#126×C79C2314yescomplemented
616#125×C79C2314yescomplemented
617#125×C79C2312yescomplemented
618#124×C79C2314yescomplemented
619#124×C79C2312yescomplemented
620#123×C79C2314yes—
621#123×C79C2314yes—
622#123×C79C2314yescomplemented
623#123×C79C2314yescomplemented
624#123×C79C2314yescomplemented
625#123×C79C2314yescomplemented
626C22⋊Q8×C79C2312yes—
627C22⋊Q8×C79C2312yes—
628C22⋊Q8×C79C2314yescomplemented
629C22⋊Q8×C79C2314yescomplemented
630C22⋊Q8×C79C2314yescomplemented
631C22⋊Q8×C79C2312yescomplemented
632#121×C79C2312yes—
633#121×C79C2312yes—
634#121×C79C2314yes—
635#121×C79C2314yes—
636#121×C79C2314yescomplemented
637#121×C79C2312yescomplemented
638#120×C79C2314yes—
639#120×C79C2314yes—
640#120×C79C2314yescomplemented
641C4×Q8×C79C2312yescomplemented
642C4×D4×C79C2314yes—
643C4×D4×C79C2314yes—
644C4×D4×C79C2314yes—
645C4×D4×C79C2314yes—
646C4×D4×C79C2314yescomplemented
647C4×D4×C79C2314yescomplemented
648C4×D4×C79C2314yescomplemented
649C4×D4×C79C2312yescomplemented
650#117×C79C2312yescomplemented
651#117×C79C2314yescomplemented
652C2×C4⋊C4×C79C2311yescharacteristic
653C2×C4⋊C4×C79C2312yescomplemented
654C2×C22⋊C4×C79C2311yescharacteristic
655C2×C22⋊C4×C79C2311yescharacteristic
656C2×C22⋊C4×C79C2312yes—
657C2×C22⋊C4×C79C2312yescomplemented
658C2×C42×C79C2311yescharacteristic
659C2×C42×C79C2312yescomplemented
660C23×D79—24no—
661C23×D79—24no—
662C23×D79—81no—
663C23×D79—81no—
664C23×D79—81no—
665C23×D79—81no—
666C23×D79C2411yescharacteristic
667C23×D79C2414yes—
668C23×D79C2412yes—
669C23×D79C2412yes—
670C23×D79C2411yescharacteristic
671C23×D79C2414yes—
672C23×D79C2412yes—
673C23×D79C2411yescharacteristic
674#11929625—82no—
675#11929625—82no—
676#11929624—216no—
677#11929624—82no—
678#11929623—216no—
679#11929623—216no—
680#11929623—84no—
681#11929623—82no—
682#11929623—82no—
683C2×Dic158—82no—
684C2×Dic158C2414yes—
685C2×Dic158C2414yes—
686C2×Dic158C2412yes—
687C2×Dic158C2414yes—
688C2×Dic158C2412yes—
689Q8×D79—82no—
690C2×D316—24no—
691C2×D316—82no—
692C2×D316—82no—
693C2×D316C2414yes—
694C2×D316C2412yes—
695C2×D316C2412yes—
696C2×D316C2412yes—
697C2×D316C2414yes—
698C2×D316C2414yes—
699C2×D316C2412yes—
700C2×D316C2414yes—
701C2×D316C2414yes—
702C2×C22⋊D79—24no—
703C2×C22⋊D79—28no—
704C2×C22⋊D79—216no—
705C2×C22⋊D79—82no—
706C2×C22⋊D79—82no—
707C2×C22⋊D79—82no—
708C2×C22⋊D79#4118yescomplemented
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2414yes—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2412yes—
714C2×C22⋊D79C2412yes—
715C2×C22⋊D79C2414yes—
716C2×C22⋊D79C2414yes—
717C2×C22⋊D79C2414yes—
718C2×C22⋊D79C2414yes—
719C2×C22⋊D79C2414yes—
720C2×C22⋊D79C2414yes—
721C2×C22⋊D79C2414yes—
722C2×C22⋊D79C2414yes—
723C2×C22⋊D79C2414yes—
724D4×D79—216no—
725D4×D79—216no—
726D4×D79—216no—
727D4×D79—216no—
728D4×D79—84no—
729D4×D79—84no—
730D4×D79—82no—
731C22×Dic79—81no—
732C22×Dic79—81no—
733C22×Dic79C2412yes—
734C22×Dic79C2414yes—
735C22×Dic79C2412yes—
736C22×Dic79C2412yes—
737C22×Dic79C2414yes—
738C22×Dic79C2414yes—
739C22×Dic79C2414yes—
740C22×Dic79C2411yescharacteristic
741C22×Dic79C2411yescharacteristic
742C22×Dic79C2411yescharacteristic
743C22×Dic79C2411yescharacteristic
744C22×Dic79C2412yes—
745C22×Dic79C2412yes—
746C22×Dic79C2411yescharacteristic
747C2×C4×D79—24no—
748C2×C4×D79—81no—
749C2×C4×D79—81no—
750C2×C4×D79—81no—
751C2×C4×D79—81no—
752C2×C4×D79—84no—
753C2×C4×D79—82no—
754C2×C4×D79C2414yes—
755C2×C4×D79C2414yes—
756C2×C4×D79C2414yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2412yes—
761C2×C4×D79C2412yes—
762C2×C4×D79C2414yes—
763C2×C4×D79C2412yes—
764C2×C4×D79C2412yes—
765C2×C4×D79C2414yes—
766C2×C4×D79C2414yes—
767C2×C4×D79C2414yes—
768C2×C4×D79C2412yes—
769C2×C4×D79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2414yes—
772C4⋊Dic79C2412yes—
773C4⋊Dic79C2412yes—
774C4⋊Dic79C2412yes—
775C4⋊Dic79C2412yes—
776C4⋊Dic79C2414yes—
777C4⋊Dic79C2414yes—
778C4⋊Dic79C2412yes—
779C4⋊Dic79C2412yes—
780Dic79⋊C4C2412yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2412yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2412yes—
801C22⋊Dic79C2412yes—
802C22⋊Dic79C2414yes—
803C22⋊Dic79C2414yes—
804C22⋊Dic79C2414yes—
805C22⋊Dic79C2414yes—
806C22⋊Dic79C2414yes—
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2414yes—
809C22⋊Dic79C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2412yes—
813(C2×D79)⋊C4C2412yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2412yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2412yes—
827(C2×D79)⋊C4C2412yes—
828(C2×D79)⋊C4C2412yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2412yes—
831(C2×D79)⋊C4C2412yes—
832(C2×D79)⋊C4C2411yescharacteristic
833(C2×D79)⋊C4C2411yescharacteristic
834(C2×D79)⋊C4C2411yescharacteristic
835(C2×D79)⋊C4C2411yescharacteristic
836(C2×D79)⋊C4C2414yes—
837(C2×D79)⋊C4C2414yes—
838(C2×D79)⋊C4C2414yes—
839(C2×D79)⋊C4C2414yes—
840(C2×D79)⋊C4C2414yes—
841(C2×D79)⋊C4C2414yes—
842(C2×D79)⋊C4C2414yes—
843(C2×D79)⋊C4C2414yes—
844(C2×D79)⋊C4C2414yes—
845C4×Dic79C2414yes—
846C4×Dic79C2414yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C4×Dic79C2414yes—
851C4×Dic79C2414yes—
852C4×Dic79C2412yes—
853C4×Dic79C2412yes—
854C4×Dic79C2414yes—
855C4×Dic79C2414yes—
856C4×Dic79C2414yes—
857C24×C79C2411yescharacteristic
858C24×C79C2412yes—
859C24×C79C2411yescharacteristic
860#41×C79—82no—
861C2×Q8×C79C2412yes—
862C2×Q8×C79C2412yes—
863C2×D4×C79—28no—
864C2×D4×C79—24no—
865C2×D4×C79C2414yes—
866C2×D4×C79C2414yes—
867C2×D4×C79C2414yes—
868C2×D4×C79C2414yes—
869C2×D4×C79C2412yes—
870C2×D4×C79C2412yes—
871C2×D4×C79C2414yes—
872C22×C4×C79—81no—
873C22×C4×C79—81no—
874C22×C4×C79—82no—
875C22×C4×C79C2412yes—
876C22×C4×C79C2411yescharacteristic
877C22×C4×C79C2412yes—
878C22×C4×C79C2412yes—
879C22×C4×C79C2411yescharacteristic
880C22×C4×C79C2411yescharacteristic
881C22×C4×C79C2412yes—
882C22×C4×C79C2411yescharacteristic
883C22×C4×C79C2411yescharacteristic
884C22×C4×C79C2412yes—
885C22×C4×C79C2412yes—
886C22×C4×C79C2412yes—
887C22×C4×C79C2414yes—
888C22×C4×C79C2414yes—
889C4⋊C4×C79C2414yes—
890C4⋊C4×C79C2414yes—
891C4⋊C4×C79C2414yes—
892C4⋊C4×C79C2414yes—
893C4⋊C4×C79C2412yes—
894C4⋊C4×C79C2414yes—
895C4⋊C4×C79C2412yes—
896C4⋊C4×C79C2412yes—
897C4⋊C4×C79C2414yes—
898C4⋊C4×C79C2414yes—
899C4⋊C4×C79C2412yes—
900C22⋊C4×C79C2414yes—
901C22⋊C4×C79C2414yes—
902C22⋊C4×C79C2414yes—
903C22⋊C4×C79C2414yes—
904C22⋊C4×C79C2414yes—
905C22⋊C4×C79C2414yes—
906C22⋊C4×C79C2414yes—
907C22⋊C4×C79C2414yes—
908C22⋊C4×C79C2414yes—
909C22⋊C4×C79C2414yes—
910C22⋊C4×C79C2414yes—
911C22⋊C4×C79C2414yes—
912C42×C79C2412yes—
913C42×C79C2412yes—
914C42×C79C2414yes—
915C42×C79C2414yes—
916C23×C79—22no—
917C23×C79—24no—
918C23×C79—41no—
919C23×C79—41no—
920C23×C79—41no—
921C23×C79—41no—
922C23×C79—42no—
923C23×C79—42no—
924C23×C79C2×#4114yes—
925C23×C79C2512yes—
926C23×C79C2514yes—
927C23×C79C2511yescharacteristic
928C23×C79C2512yes—
929C22×D79—22no—
930C22×D79—22no—
931C22×D79—24no—
932C22×D79—24no—
933C22×D79—24no—
934C22×D79—28no—
935C22×D79—28no—
936C22×D79—41no—
937C22×D79—41no—
938C22×D79—41no—
939C22×D79—41no—
940C22×D79—41no—
941C22×D79—41no—
942C22×D79—44no—
943C22×D79—42no—
944C22×D79—44no—
945C22×D79—44no—
946C22×D79—44no—
947C22×D79—42no—
948C22×D79—42no—
949C22×D79—42no—
950C22×D79—42no—
951C22×D79—42no—
952C22×D79—88no—
953C22×D79—88no—
954C22×D79C2×#4114yes—
955C22×D79C2512yes—
956C22×D79C2511yescharacteristic
957C22×D79C2511yescharacteristic
958C22×D79C2514yes—
959C22×D79C2512yes—
960Q8×C79—42no—
961Q8×C79—42no—
962D4×C79—28no—
963D4×C79—28no—
964D4×C79—28no—
965D4×C79—44no—
966D4×C79—42no—
967D4×C79—44no—
968D4×C79—42no—
969C2×C4×C79—22no—
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—42no—
977C2×C4×C79—42no—
978C2×C4×C79—42no—
979C2×C4×C79—41no—
980C2×C4×C79—42no—
981C2×C4×C79—42no—
982C2×C4×C79—44no—
983C2×C4×C79C2512yes—
984C2×C4×C79C2511yescharacteristic
985C2×C4×C79C2514yes—
986C2×C4×C79C2512yes—
987C2×C4×C79C2512yes—
988C2×C4×C79C2514yes—
989C2×C4×C79C2514yes—
990C2×C4×C79C2511yescharacteristic
991C2×C4×C79C2512yes—
992C22⋊D79—28no—
993C22⋊D79—28no—
994C22⋊D79—28no—
995C22⋊D79—24no—
996C22⋊D79—24no—
997C22⋊D79—28no—
998C22⋊D79—44no—
999C22⋊D79—44no—
1000C22⋊D79—44no—
1001C22⋊D79—44no—
1002C22⋊D79—44no—
1003C22⋊D79—44no—
1004C22⋊D79—44no—
1005C22⋊D79—44no—
1006C22⋊D79C2×#41116yes—
1007C2×Dic79—24no—
1008C2×Dic79—28no—
1009C2×Dic79—41no—
1010C2×Dic79—41no—
1011C2×Dic79—41no—
1012C2×Dic79—42no—
1013C2×Dic79—44no—
1014C2×Dic79—41no—
1015C2×Dic79—42no—
1016C2×Dic79—42no—
1017C2×Dic79—44no—
1018C2×Dic79—42no—
1019C2×Dic79—44no—
1020C2×Dic79C2×#4114yes—
1021C2×Dic79C2512yes—
1022C2×Dic79C2512yes—
1023C2×Dic79C2514yes—
1024C2×Dic79C2514yes—
1025C2×Dic79C2511yescharacteristic
1026C2×Dic79C2512yes—
1027C2×Dic79C2514yes—
1028C2×Dic79C2511yescharacteristic
1029C2×Dic79C2512yes—
1030D316—24no—
1031D316—24no—
1032D316—28no—
1033D316—44no—
1034D316—44no—
1035D316—42no—
1036D316—44no—
1037D316—44no—
1038D316—42no—
1039C4×D79—28no—
1040C4×D79—28no—
1041C4×D79—28no—
1042C4×D79—44no—
1043C4×D79—44no—
1044C4×D79—42no—
1045C4×D79—44no—
1046C4×D79—42no—
1047C4×D79—42no—
1048C4×D79—42no—
1049C4×D79—44no—
1050C4×D79—42no—
1051C4×D79—44no—
1052C4×D79—42no—
1053C4×D79—44no—
1054C4×D79—44no—
1055Dic158—28no—
1056Dic158—44no—
1057Dic158—42no—
1058Dic158—44no—
1059Dic158—42no—
1060C22×C79—21no—
1061C22×C79—22no—
1062C22×C79—21no—
1063C22×C79—22no—
1064C22×C79—22no—
1065C22×C79—24no—
1066C22×C79—24no—
1067C22×C79—22no—
1068C22×C79—24no—
1069C22×C79—22no—
1070C22×C79—44no—
1071C22×C79—44no—
1072C22×C79—84no—
1073C22×C79C22×#4112yes—
1074C22×C79C22×#4114yes—
1075C22×C79C2611yescharacteristic
1076C2×D79—22no—
1077C2×D79—22no—
1078C2×D79—24no—
1079C2×D79—21no—
1080C2×D79—21no—
1081C2×D79—22no—
1082C2×D79—21no—
1083C2×D79—21no—
1084C2×D79—24no—
1085C2×D79—22no—
1086C2×D79—22no—
1087C2×D79—24no—
1088C2×D79—21no—
1089C2×D79—21no—
1090C2×D79—44no—
1091C2×D79—44no—
1092C2×D79—44no—
1093C2×D79—88no—
1094C2×D79—88no—
1095C2×D79—84no—
1096C2×D79—84no—
1097C2×D79—84no—
1098C2×D79C22×#4114yes—
1099C4×C79—24no—
1100C4×C79—22no—
1101C4×C79—21no—
1102C4×C79—22no—
1103C4×C79—21no—
1104C4×C79—22no—
1105C4×C79—24no—
1106C4×C79—24no—
1107C4×C79—22no—
1108Dic79—24no—
1109Dic79—21no—
1110Dic79—24no—
1111Dic79—24no—
1112Dic79—22no—
1113Dic79—21no—
1114Dic79—22no—
1115Dic79—22no—
1116Dic79C22×#4114yes—
1117#62846—791nomaximal, Sylow
1118C2×C79—22no—
1119C2×C79—24no—
1120C2×C79—42no—
1121C2×C79—44no—
1122C2×C79C23×#4111yescharacteristic
1123C2×C79H(7,𝔽2)11yescharacteristic
1124C2×C79H(7,𝔽2)11yescharacteristic
1125D79—24no—
1126D79—41no—
1127D79—41no—
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—792no—
1141#3501—791no—
1142#3496—791no—
1143#3493—792no—
1144#3490—791no—
1145#3490—791no—
1146#3490—792no—
1147#3484—792no—
1148#3460—792no—
1149#3459—792no—
1150#3459—791no—
1151#3459D7911yescharacteristic, complemented
1152#3455—792no—
1153C2×#538—792no—
1154C2×#538—792no—
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—792no—
1164#556—794no—
1165#556—792no—
1166#555—794no—
1167#555—792no—
1168#555—794no—
1169#555—792no—
1170#554—794no—
1171#554—794no—
1172#554—794no—
1173#553—794no—
1174#553—794no—
1175#553—792no—
1176#553—794no—
1177#553—794no—
1178#553—794no—
1179#553—794no—
1180#553—794no—
1181#553—794no—
1182#553—792no—
1183#553—794no—
1184#552—794no—
1185#552—792no—
1186#552—794no—
1187#552—792no—
1188#552—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#551—794no—
1201#550—792no—
1202#550—792no—
1203D4×Q8—794no—
1204#548—792no—
1205#548—794no—
1206#548—792no—
1207#547—792no—
1208#547—794no—
1209#547—792no—
1210#546—794no—
1211#546—792no—
1212#546—794no—
1213#546—794no—
1214#546—794no—
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—
1226#546—792no—
1227D42—794no—
1228D42—794no—
1229D42—794no—
1230D42—794no—
1231D42—794no—
1232#544—792no—
1233#543—792no—
1234#543—791no—
1235#543C2×D7911yescharacteristic, complemented
1236#542—794no—
1237#542—794no—
1238#542—794no—
1239#542—794no—
1240#541—794no—
1241#540—794no—
1242#540—794no—
1243#540—794no—
1244#539—794no—
1245#539—794no—
1246#539—794no—
1247#539—794no—
1248#539—792no—
1249#539C2×D7912yescomplemented
1250#539C2×D7914yescomplemented
1251#538—794no—
1252#538—794no—
1253#538—794no—
1254#538—794no—
1255#538—794no—
1256#538—792no—
1257#538—792no—
1258#538—792no—
1259#538—792no—
1260#538—794no—
1261#538—794no—
1262#538—794no—
1263#538—794no—
1264#538—794no—
1265#538—794no—
1266#538—794no—
1267#538—794no—
1268#538—794no—
1269#538—794no—
1270#538—794no—
1271#538—792no—
1272#538C2×D7912yescomplemented
1273#538C2×D7914yescomplemented
1274#537—792no—
1275#535—794no—
1276#534—792no—
1277#534—794no—
1278#534—792no—
1279#534—791no—
1280#534C2×D7912yescomplemented
1281#534C2×D7911yescharacteristic, complemented
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—794no—
1294#529—794no—
1295#529—794no—
1296#529—792no—
1297#529C2×D7912yescomplemented
1298#529C2×D7914yescomplemented
1299C2×#126—794no—
1300C2×#126—792no—
1301C2×#126—792no—
1302C2×#124—794no—
1303C2×#124—792no—
1304C2×#124—792no—
1305#525—792no—
1306#525—794no—
1307#525—794no—
1308#525—792no—
1309#525—792no—
1310#525—794no—
1311#525—792no—
1312#525—792no—
1313#525—794no—
1314#525—794no—
1315#525C2×D7912yescomplemented
1316#525C2×D7914yescomplemented
1317C2×#123—792no—
1318C2×#123—794no—
1319C2×#123—792no—
1320C2×C22⋊Q8—792no—
1321C2×C22⋊Q8—792no—
1322C2×#121—792no—
1323C2×#121—792no—
1324C2×#121—792no—
1325C2×#121—794no—
1326C2×#121—792no—
1327C2×#120—792no—
1328C2×#120—794no—
1329C2×#120—792no—
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—792no—
1350C2×C4×D4—794no—
1351C2×C4×D4—794no—
1352C2×C4×D4—794no—
1353C2×C4×D4—791no—
1354C2×C4×D4—791no—
1355C2×C4×D4—791no—
1356C2×C4×D4—791no—
1357C2×C4×D4C2×D7911yescharacteristic, complemented
1358C2×C4×D4C2×D7912yescomplemented
1359C2×#117—791no—
1360C2×#117—791no—
1361C22×C22⋊C4—791no—
1362C22×C22⋊C4—791no—
1363C22×C22⋊C4—791no—
1364C22×C22⋊C4—791no—
1365C25—791no—
1366C25—791no—
1367H(5,𝔽2)—15816no—
1368C2×#41—792no—
1369C2×#41—792no—
1370C2×#41—792no—
1371C2×#41—792no—
1372C2×#41—794no—
1373C2×#41—794no—
1374C2×#41—794no—
1375C2×#41—792no—
1376C2×#41—794no—
1377C2×#41C22×D7912yescomplemented
1378C22×Q8—792no—
1379C22×Q8—792no—
1380C22×D4—791no—
1381C22×D4—792no—
1382C22×D4—792no—
1383C22×D4—792no—
1384C22×D4—791no—
1385C22×D4—792no—
1386C22×D4—794no—
1387C22×D4—794no—
1388C22×D4—794no—
1389C22×D4—792no—
1390C22×D4—794no—
1391C22×D4—794no—
1392C22×D4—794no—
1393C22×D4—794no—
1394C22×D4—792no—
1395C22×D4—792no—
1396C22×D4—791no—
1397C22×D4—1588no—
1398C22×D4C22×D7911yescharacteristic
1399C22×D4C22×D7912yes—
1400C23×C4—791no—
1401C23×C4—791no—
1402C23×C4—791no—
1403C23×C4—791no—
1404C23×C4—791no—
1405C23×C4—791no—
1406C23×C4—792no—
1407C23×C4—794no—
1408C23×C4—791no—
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#126—794no—
1441#126C22×D7914yescomplemented
1442#126C22×D7914yescomplemented
1443#126C22×D7914yescomplemented
1444#125—794no—
1445#125—794no—
1446#125—794no—
1447#125—794no—
1448#125—794no—
1449#125—794no—
1450#125—794no—
1451#125—792no—
1452#125C22×D7914yescomplemented
1453#125C22×D7912yescomplemented
1454#124—794no—
1455#124—794no—
1456#124—794no—
1457#124—794no—
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#124—794no—
1473#124—792no—
1474#124C22×D7914yescomplemented
1475#124C22×D7912yescomplemented
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#123C22×D7914yes—
1509#123C22×D7914yes—
1510#123C22×D7914yescomplemented
1511#123C22×D7914yescomplemented
1512#123C22×D7914yescomplemented
1513#123C22×D7914yescomplemented
1514C22⋊Q8—792no—
1515C22⋊Q8—792no—
1516C22⋊Q8—794no—
1517C22⋊Q8—792no—
1518C22⋊Q8—792no—
1519C22⋊Q8—792no—
1520C22⋊Q8—792no—
1521C22⋊Q8—792no—
1522C22⋊Q8—794no—
1523C22⋊Q8—794no—
1524C22⋊Q8—792no—
1525C22⋊Q8—794no—
1526C22⋊Q8—794no—
1527C22⋊Q8—794no—
1528C22⋊Q8—792no—
1529C22⋊Q8—794no—
1530C22⋊Q8—794no—
1531C22⋊Q8—794no—
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⋊Q8C22×D7912yes—
1543C22⋊Q8C22×D7912yes—
1544C22⋊Q8C22×D7914yescomplemented
1545C22⋊Q8C22×D7912yescomplemented
1546C22⋊Q8C22×D7914yescomplemented
1547C22⋊Q8C22×D7914yescomplemented
1548#121—794no—
1549#121—794no—
1550#121—794no—
1551#121—792no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—792no—
1558#121—792no—
1559#121—794no—
1560#121—794no—
1561#121—794no—
1562#121—794no—
1563#121—794no—
1564#121—794no—
1565#121—794no—
1566#121—792no—
1567#121—794no—
1568#121—794no—
1569#121—794no—
1570#121—792no—
1571#121—792no—
1572#121—792no—
1573#121—794no—
1574#121—794no—
1575#121—792no—
1576#121—792no—
1577#121—794no—
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#121—794no—
1591#121—794no—
1592#121C22×D7912yes—
1593#121C22×D7912yes—
1594#121C22×D7914yes—
1595#121C22×D7914yes—
1596#121C22×D7914yescomplemented
1597#121C22×D7912yescomplemented
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#120—794no—
1617#120C22×D7914yes—
1618#120C22×D7914yes—
1619#120C22×D7914yescomplemented
1620C4×Q8—792no—
1621C4×Q8—794no—
1622C4×Q8—794no—
1623C4×Q8—794no—
1624C4×Q8—794no—
1625C4×Q8—792no—
1626C4×Q8—794no—
1627C4×Q8—794no—
1628C4×Q8—792no—
1629C4×Q8C22×D7912yescomplemented
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—794no—
1635C4×D4—794no—
1636C4×D4—794no—
1637C4×D4—792no—
1638C4×D4—794no—
1639C4×D4—794no—
1640C4×D4—794no—
1641C4×D4—794no—
1642C4×D4—794no—
1643C4×D4—794no—
1644C4×D4—792no—
1645C4×D4—792no—
1646C4×D4—792no—
1647C4×D4—792no—
1648C4×D4—794no—
1649C4×D4—794no—
1650C4×D4—794no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—794no—
1655C4×D4—794no—
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—792no—
1666C4×D4—794no—
1667C4×D4—794no—
1668C4×D4—794no—
1669C4×D4—794no—
1670C4×D4—794no—
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—792no—
1687C4×D4—792no—
1688C4×D4—792no—
1689C4×D4—792no—
1690C4×D4—794no—
1691C4×D4—792no—
1692C4×D4C22×D7914yes—
1693C4×D4C22×D7914yes—
1694C4×D4C22×D7914yes—
1695C4×D4C22×D7914yes—
1696C4×D4C22×D7914yescomplemented
1697C4×D4C22×D7914yescomplemented
1698C4×D4C22×D7914yescomplemented
1699C4×D4C22×D7912yescomplemented
1700#117—794no—
1701#117—792no—
1702#117—794no—
1703#117—794no—
1704#117—794no—
1705#117—794no—
1706#117—792no—
1707#117—792no—
1708#117—792no—
1709#117—792no—
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—
1722#117C22×D7912yescomplemented
1723#117C22×D7914yescomplemented
1724C2×C4⋊C4—791no—
1725C2×C4⋊C4—791no—
1726C2×C4⋊C4—791no—
1727C2×C4⋊C4—792no—
1728C2×C4⋊C4—794no—
1729C2×C4⋊C4—792no—
1730C2×C4⋊C4—792no—
1731C2×C4⋊C4—792no—
1732C2×C4⋊C4—792no—
1733C2×C4⋊C4—794no—
1734C2×C4⋊C4—794no—
1735C2×C4⋊C4—794no—
1736C2×C4⋊C4—792no—
1737C2×C4⋊C4—792no—
1738C2×C4⋊C4C22×D7911yescharacteristic
1739C2×C4⋊C4C22×D7912yescomplemented
1740C2×C22⋊C4—791no—
1741C2×C22⋊C4—791no—
1742C2×C22⋊C4—792no—
1743C2×C22⋊C4—794no—
1744C2×C22⋊C4—792no—
1745C2×C22⋊C4—791no—
1746C2×C22⋊C4—791no—
1747C2×C22⋊C4—791no—
1748C2×C22⋊C4—791no—
1749C2×C22⋊C4—791no—
1750C2×C22⋊C4—791no—
1751C2×C22⋊C4—791no—
1752C2×C22⋊C4—791no—
1753C2×C22⋊C4—792no—
1754C2×C22⋊C4—792no—
1755C2×C22⋊C4—792no—
1756C2×C22⋊C4—792no—
1757C2×C22⋊C4—794no—
1758C2×C22⋊C4—794no—
1759C2×C22⋊C4—792no—
1760C2×C22⋊C4—794no—
1761C2×C22⋊C4—792no—
1762C2×C22⋊C4—792no—
1763C2×C22⋊C4—792no—
1764C2×C22⋊C4—792no—
1765C2×C22⋊C4—792no—
1766C2×C22⋊C4—794no—
1767C2×C22⋊C4—794no—
1768C2×C22⋊C4—794no—
1769C2×C22⋊C4—794no—
1770C2×C22⋊C4—794no—
1771C2×C22⋊C4—794no—
1772C2×C22⋊C4—794no—
1773C2×C22⋊C4—794no—
1774C2×C22⋊C4—794no—
1775C2×C22⋊C4—794no—
1776C2×C22⋊C4—794no—
1777C2×C22⋊C4C22×D7911yescharacteristic
1778C2×C22⋊C4C22×D7911yescharacteristic
1779C2×C22⋊C4C22×D7912yes—
1780C2×C22⋊C4C22×D7912yescomplemented
1781C2×C42—791no—
1782C2×C42—791no—
1783C2×C42—791no—
1784C2×C42—792no—
1785C2×C42—794no—
1786C2×C42—794no—
1787C2×C42—794no—
1788C2×C42C22×D7911yescharacteristic
1789C2×C42C22×D7912yescomplemented
1790C24—791no—
1791C24—794no—
1792C24—792no—
1793C24—792no—
1794C24—791no—
1795C24—794no—
1796C24—792no—
1797C24—791no—
1798C24—6321no—
1799C24—6321no—
1800C24—6321no—
1801C24—6321no—
1802C24—1584no—
1803C24—1584no—
1804C24C23×D7912yes—
1805C24C23×D7911yescharacteristic
1806C24C23×D7911yescharacteristic
1807#41—82no—
1808#41—6322no—
1809#41—6322no—
1810#41—6322no—
1811#41—6324no—
1812#41—6322no—
1813#41—6322no—
1814#41—15816no—
1815#41—15816no—
1816#41—15816no—
1817C2×Q8—792no—
1818C2×Q8—794no—
1819C2×Q8—792no—
1820C2×Q8—794no—
1821C2×Q8—794no—
1822C2×Q8—6322no—
1823C2×Q8—6322no—
1824C2×Q8C23×D7912yes—
1825C2×Q8C23×D7912yes—
1826C2×D4—24no—
1827C2×D4—28no—
1828C2×D4—794no—
1829C2×D4—794no—
1830C2×D4—794no—
1831C2×D4—794no—
1832C2×D4—794no—
1833C2×D4—794no—
1834C2×D4—794no—
1835C2×D4—794no—
1836C2×D4—798no—
1837C2×D4—794no—
1838C2×D4—794no—
1839C2×D4—794no—
1840C2×D4—794no—
1841C2×D4—792no—
1842C2×D4—792no—
1843C2×D4—794no—
1844C2×D4—792no—
1845C2×D4—794no—
1846C2×D4—794no—
1847C2×D4—794no—
1848C2×D4—794no—
1849C2×D4—792no—
1850C2×D4—794no—
1851C2×D4—792no—
1852C2×D4—792no—
1853C2×D4—6322no—
1854C2×D4—6322no—
1855C2×D4—6324no—
1856C2×D4—6322no—
1857C2×D4—6324no—
1858C2×D4—6322no—
1859C2×D4—6322no—
1860C2×D4—6322no—
1861C2×D4—1584no—
1862C2×D4—1584no—
1863C2×D4—15816no—
1864C2×D4—15816no—
1865C2×D4—15816no—
1866C2×D4—15816no—
1867C2×D4—15816no—
1868C2×D4—1588no—
1869C2×D4C23×D7914yes—
1870C2×D4C23×D7914yes—
1871C2×D4C23×D7914yes—
1872C2×D4C23×D7912yes—
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—792no—
1887C22×C4—792no—
1888C22×C4—794no—
1889C22×C4—794no—
1890C22×C4—794no—
1891C22×C4—794no—
1892C22×C4—794no—
1893C22×C4—794no—
1894C22×C4—792no—
1895C22×C4—794no—
1896C22×C4—792no—
1897C22×C4—792no—
1898C22×C4—792no—
1899C22×C4—792no—
1900C22×C4—792no—
1901C22×C4—794no—
1902C22×C4—794no—
1903C22×C4—791no—
1904C22×C4—792no—
1905C22×C4—794no—
1906C22×C4—794no—
1907C22×C4—794no—
1908C22×C4—794no—
1909C22×C4—6321no—
1910C22×C4—6324no—
1911C22×C4—6322no—
1912C22×C4—6321no—
1913C22×C4—6321no—
1914C22×C4—6321no—
1915C22×C4—6321no—
1916C22×C4—6321no—
1917C22×C4—1584no—
1918C22×C4C23×D7911yescharacteristic
1919C22×C4C23×D7912yes—
1920C22×C4C23×D7911yescharacteristic
1921C22×C4C23×D7911yescharacteristic
1922C22×C4C23×D7912yes—
1923C22×C4C23×D7914yes—
1924C22×C4C23×D7911yescharacteristic
1925C22×C4C23×D7911yescharacteristic
1926C22×C4C23×D7912yes—
1927C22×C4C23×D7912yes—
1928C22×C4C23×D7912yes—
1929C22×C4C23×D7912yes—
1930C22×C4C23×D7912yes—
1931C22×C4C23×D7914yes—
1932C4⋊C4—792no—
1933C4⋊C4—792no—
1934C4⋊C4—794no—
1935C4⋊C4—794no—
1936C4⋊C4—794no—
1937C4⋊C4—794no—
1938C4⋊C4—794no—
1939C4⋊C4—794no—
1940C4⋊C4—794no—
1941C4⋊C4—794no—
1942C4⋊C4—794no—
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—792no—
1954C4⋊C4—792no—
1955C4⋊C4—794no—
1956C4⋊C4—792no—
1957C4⋊C4—792no—
1958C4⋊C4—794no—
1959C4⋊C4—792no—
1960C4⋊C4—792no—
1961C4⋊C4C23×D7914yes—
1962C4⋊C4C23×D7914yes—
1963C4⋊C4C23×D7912yes—
1964C4⋊C4C23×D7912yes—
1965C4⋊C4C23×D7914yes—
1966C4⋊C4C23×D7914yes—
1967C4⋊C4C23×D7914yes—
1968C4⋊C4C23×D7912yes—
1969C4⋊C4C23×D7912yes—
1970C4⋊C4C23×D7914yes—
1971C4⋊C4C23×D7914yes—
1972C22⋊C4—794no—
1973C22⋊C4—792no—
1974C22⋊C4—792no—
1975C22⋊C4—794no—
1976C22⋊C4—794no—
1977C22⋊C4—794no—
1978C22⋊C4—794no—
1979C22⋊C4—794no—
1980C22⋊C4—794no—
1981C22⋊C4—794no—
1982C22⋊C4—794no—
1983C22⋊C4—792no—
1984C22⋊C4—792no—
1985C22⋊C4—792no—
1986C22⋊C4—794no—
1987C22⋊C4—794no—
1988C22⋊C4—792no—
1989C22⋊C4—792no—
1990C22⋊C4—792no—
1991C22⋊C4—794no—
1992C22⋊C4—791no—
1993C22⋊C4—791no—
1994C22⋊C4—792no—
1995C22⋊C4—792no—
1996C22⋊C4—791no—
1997C22⋊C4—791no—
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⋊C4—794no—
2013C22⋊C4—794no—
2014C22⋊C4—794no—
2015C22⋊C4—794no—
2016C22⋊C4—794no—
2017C22⋊C4—794no—
2018C22⋊C4C23×D7914yes—
2019C22⋊C4C23×D7914yes—
2020C22⋊C4C23×D7914yes—
2021C22⋊C4C23×D7914yes—
2022C22⋊C4C23×D7914yes—
2023C22⋊C4C23×D7914yes—
2024C22⋊C4C23×D7914yes—
2025C22⋊C4C23×D7914yes—
2026C22⋊C4C23×D7914yes—
2027C22⋊C4C23×D7914yes—
2028C22⋊C4C23×D7914yes—
2029C22⋊C4C23×D7914yes—
2030C42—794no—
2031C42—794no—
2032C42—794no—
2033C42—794no—
2034C42—794no—
2035C42—794no—
2036C42—794no—
2037C42—794no—
2038C42—792no—
2039C42—792no—
2040C42—794no—
2041C42—794no—
2042C42C23×D7914yes—
2043C42C23×D7912yes—
2044C42C23×D7912yes—
2045C42C23×D7914yes—
2046C23—22no—
2047C23—24no—
2048C23—41no—
2049C23—41no—
2050C23—41no—
2051C23—41no—
2052C23—42no—
2053C23—42no—
2054C23—3161no—
2055C23—3161no—
2056C23—3161no—
2057C23—3161no—
2058C23—3161no—
2059C23—3161no—
2060C23—3162no—
2061C23—3164no—
2062C23—3162no—
2063C23—3164no—
2064C23—3162no—
2065C23—3162no—
2066C23—3162no—
2067C23—3162no—
2068C23—3164no—
2069C23—3164no—
2070C23—794no—
2071C23—792no—
2072C23—792no—
2073C23—791no—
2074C23—791no—
2075C23—794no—
2076C23—6328no—
2077C23—6328no—
2078C23—1588no—
2079C23—1588no—
2080C23—1582no—
2081C23—1582no—
2082C23—1584no—
2083C23—1584no—
2084C23—1584no—
2085C23#41×D7914yes—
2086C23C24×D7912yes—
2087C23C24×D7914yes—
2088C23C24×D7911yescharacteristic
2089C23C24×D7912yes—
2090Q8—42no—
2091Q8—42no—
2092Q8—3164no—
2093Q8—3162no—
2094Q8—3164no—
2095Q8—3162no—
2096Q8—1588no—
2097D4—28no—
2098D4—28no—
2099D4—28no—
2100D4—44no—
2101D4—42no—
2102D4—44no—
2103D4—42no—
2104D4—3164no—
2105D4—3164no—
2106D4—3164no—
2107D4—3162no—
2108D4—3164no—
2109D4—3162no—
2110D4—3164no—
2111D4—3164no—
2112D4—3164no—
2113D4—3164no—
2114D4—3164no—
2115D4—3164no—
2116D4—3164no—
2117D4—3164no—
2118D4—7916no—
2119D4—1584no—
2120D4—1584no—
2121D4—1588no—
2122D4—1584no—
2123D4—1584no—
2124D4—1588no—
2125D4—1588no—
2126D4—1588no—
2127D4—1588no—
2128C2×C4—22no—
2129C2×C4—24no—
2130C2×C4—41no—
2131C2×C4—42no—
2132C2×C4—41no—
2133C2×C4—42no—
2134C2×C4—44no—
2135C2×C4—41no—
2136C2×C4—42no—
2137C2×C4—44no—
2138C2×C4—42no—
2139C2×C4—42no—
2140C2×C4—41no—
2141C2×C4—42no—
2142C2×C4—3164no—
2143C2×C4—3164no—
2144C2×C4—3164no—
2145C2×C4—3162no—
2146C2×C4—3162no—
2147C2×C4—3164no—
2148C2×C4—3164no—
2149C2×C4—3162no—
2150C2×C4—3162no—
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—3162no—
2161C2×C4—3162no—
2162C2×C4—3164no—
2163C2×C4—3164no—
2164C2×C4—3162no—
2165C2×C4—3164no—
2166C2×C4—792no—
2167C2×C4—794no—
2168C2×C4—792no—
2169C2×C4—792no—
2170C2×C4—794no—
2171C2×C4—794no—
2172C2×C4—791no—
2173C2×C4—792no—
2174C2×C4—794no—
2175C2×C4—791no—
2176C2×C4—1588no—
2177C2×C4—1588no—
2178C2×C4—1588no—
2179C2×C4—1588no—
2180C2×C4—1584no—
2181C2×C4C24×D7912yes—
2182C2×C4C24×D7911yescharacteristic
2183C2×C4C24×D7914yes—
2184C2×C4C24×D7914yes—
2185C2×C4C24×D7912yes—
2186C2×C4C24×D7912yes—
2187C2×C4C24×D7914yes—
2188C2×C4C24×D7911yescharacteristic
2189C2×C4C24×D7912yes—
2190C22—21no—
2191C22—22no—
2192C22—21no—
2193C22—22no—
2194C22—24no—
2195C22—22no—
2196C22—24no—
2197C22—22no—
2198C22—22no—
2199C22—24no—
2200C22—44no—
2201C22—44no—
2202C22—84no—
2203C22—3164no—
2204C22—3164no—
2205C22—3164no—
2206C22—794no—
2207C22—6324no—
2208C22—6324no—
2209C22—6324no—
2210C22—6328no—
2211C22—6328no—
2212C22—1582no—
2213C22—1584no—
2214C22—1581no—
2215C22—1581no—
2216C22—1584no—
2217C22—1581no—
2218C22—1581no—
2219C22—1582no—
2220C22—1581no—
2221C22—1581no—
2222C22—1584no—
2223C22—1582no—
2224C22—1582no—
2225C22—1582no—
2226C22C2×#41×D7912yes—
2227C22C2×#41×D7914yes—
2228C22C25×D7911yescharacteristic
2229C4—22no—
2230C4—24no—
2231C4—21no—
2232C4—22no—
2233C4—21no—
2234C4—24no—
2235C4—22no—
2236C4—22no—
2237C4—24no—
2238C4—794no—
2239C4—1584no—
2240C4—1582no—
2241C4—1584no—
2242C4—1582no—
2243C4—1581no—
2244C4—1582no—
2245C4—1581no—
2246C4—1584no—
2247C2—22no—
2248C2—24no—
2249C2—42no—
2250C2—44no—
2251C2—3162no—
2252C2—3161no—
2253C2—3161no—
2254C2—3164no—
2255C2—1584no—
2256C2C22×#41×D7911yescharacteristic
2257C2#2377821011yescharacteristic
2258C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3459C2
hypercenter#3459D79
hypocenterC79#62846
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3459

Complements

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

NH ≅ G/Ntype
1. #23777458C2semidirect
2. #23777454C2semidirect
3. #23777424C2semidirect
4. #23777420C2semidirect
5. #23777353C2semidirect
6. #23777349C2semidirect
7. #23777330C2semidirect
8. #23777326C2semidirect
9. #23777243C2semidirect
10. #23777237C2semidirect
11. #23777235C2semidirect
12. #23777200C2semidirect
13. #23777161C2semidirect
14. #23777112C2semidirect
15. #23777090C2semidirect
16. #23777088C2semidirect
17. #23777083C2semidirect
18. #23777032C2semidirect
19. #23776819C2semidirect
20. #23776809C2semidirect
21. #23776808C2semidirect
22. #23776786C2semidirect
23. C2×#19099146C2semidirect
24. #538×D79C2semidirect
25. C4×#14579206C2semidirect
26. C2×#19099035C2semidirect
27. C79×#3459C2semidirect
30. #19099297C22semidirect
31. #19099296C22semidirect
32. #19099285C22semidirect
33. #19099284C22semidirect
34. #19099281C22semidirect
35. #19099280C22semidirect
36. #19099277C22semidirect
37. #19099276C22semidirect
38. #19099276C22semidirect
39. #19099275C22semidirect
40. #19099271C22semidirect
41. #19099267C22semidirect
42. #19099267C22semidirect
43. #19099266C22semidirect
44. #19099265C22semidirect
45. #19099264C22semidirect
46. #19099264C22semidirect
47. #19099263C22semidirect
48. #19099262C22semidirect
49. #19099262C22semidirect
50. #19099258C22semidirect
51. #19099257C22semidirect
52. #19099256C22semidirect
53. #19099256C22semidirect
54. #19099254C22semidirect
55. #19099251C22semidirect
56. #19099250C22semidirect
57. #19099246C22semidirect
58. #19099245C22semidirect
59. #19099244C22semidirect
60. #19099242C22semidirect
61. #19099240C22semidirect
62. #19099240C22semidirect
63. #19099240C22semidirect
64. #19099238C22semidirect
65. #19099237C22semidirect
66. #19099237C22semidirect
67. #19099236C22semidirect
68. #19099236C22semidirect
69. #19099236C22semidirect
70. #19099236C22semidirect
71. #19099232C22semidirect
72. #19099231C22semidirect
73. #19099226C22semidirect
74. #19099225C22semidirect
75. #19099221C22semidirect
76. #19099219C22semidirect
77. #19099215C22semidirect
78. #19099212C22semidirect
79. #19099211C22semidirect
80. #19099208C22semidirect
81. #19099208C22semidirect
82. #19099206C22semidirect
83. #19099205C22semidirect
84. #19099205C22semidirect
85. #19099205C22semidirect
86. #19099205C22semidirect
87. #19099204C22semidirect
88. #19099204C22semidirect
89. #19099202C22semidirect
90. #19099202C22semidirect
91. #19099202C22semidirect
92. #19099201C22semidirect
93. #19099200C22semidirect
94. #19099200C22semidirect
95. #19099200C22semidirect
96. #19099200C22semidirect
97. #19099197C22semidirect
98. #19099197C22semidirect
99. #19099195C22semidirect
100. #19099195C22semidirect
101. #19099195C22semidirect
102. #19099192C22semidirect
103. #19099189C22semidirect
104. #19099188C22semidirect
105. #19099183C22semidirect
106. #19099179C22semidirect
107. #19099179C22semidirect
108. #19099177C22semidirect
109. #19099172C22semidirect
110. #19099165C22semidirect
111. #19099165C22semidirect
112. #19099163C22semidirect
113. #19099161C22semidirect
114. #19099160C22semidirect
115. #19099159C22semidirect
116. #19099157C22semidirect
117. #19099155C22semidirect
118. #19099153C22semidirect
119. #19099153C22semidirect
120. #19099152C22semidirect
121. #19099152C22semidirect
122. #19099151C22semidirect
123. #19099150C22semidirect
124. #19099150C22semidirect
125. #19099149C22semidirect
126. #19099149C22semidirect
127. #19099148C22semidirect
128. #19099147C22semidirect
129. #19099146C22semidirect
130. #19099146C22semidirect
131. #19099146C22semidirect
132. #19099146C22semidirect
133. #19099146C22semidirect
134. #19099146C22semidirect
135. #19099146C22semidirect
136. #19099146C22semidirect
137. #19099146C22semidirect
138. #19099145C22semidirect
139. #19099140C22semidirect
140. #19099128C22semidirect
141. #19099125C22semidirect
142. #19099124C22semidirect
143. #19099122C22semidirect
144. #19099121C22semidirect
145. #19099115C22semidirect
146. #19099112C22semidirect
147. #19099108C22semidirect
148. #19099108C22semidirect
149. #19099099C22semidirect
150. #19099098C22semidirect
151. #19099098C22semidirect
152. #19099097C22semidirect
153. #19099096C22semidirect
154. #19099096C22semidirect
155. #19099096C22semidirect
156. #19099093C22semidirect
157. #19099090C22semidirect
158. #19099090C22semidirect
159. #19099090C22semidirect
160. C2×#14579156C22semidirect
161. C2×#14579155C22semidirect
162. #126×D79C22semidirect
163. C2×#14579149C22semidirect
164. C2×#14579147C22semidirect
165. #124×D79C22semidirect
166. #19099076C22semidirect
167. #19099076C22semidirect
168. #19099076C22semidirect
169. #19099074C22semidirect
170. #19099073C22semidirect
171. #19099073C22semidirect
172. #19099072C22semidirect
173. #19099071C22semidirect
174. #19099071C22semidirect
175. #19099069C22semidirect
176. C2×#14579146C22semidirect
177. C2×#14579144C22semidirect
178. #123×D79C22semidirect
179. C2×#14579138C22semidirect
180. C22⋊Q8×D79C22semidirect
181. C2×#14579135C22semidirect
182. C2×#14579134C22semidirect
183. C2×#14579133C22semidirect
184. #121×D79C22semidirect
185. #121×D79C22semidirect
186. C2×#14579131C22semidirect
187. C2×#14579129C22semidirect
188. #120×D79C22semidirect
189. #19099044C22semidirect
190. #19099042C22semidirect
191. #19099042C22semidirect
192. #19099038C22semidirect
194. #19099036C22semidirect
195. #19099036C22semidirect
196. #19099035C22semidirect
197. #19099035C22semidirect
198. #19099035C22semidirect
199. #19099035C22semidirect
200. #19099035C22semidirect
201. #19099035C22semidirect
202. C4×#11929624C22semidirect
203. C4×#11929623C22semidirect
204. C4×#11929623C22semidirect
205. C2×C4×D316C22semidirect
206. C2×D4×Dic79C22semidirect
207. C2×#14579123C22semidirect
209. C2×C4×C22⋊D79C22semidirect
210. C2×C4×C22⋊D79C22semidirect
211. C2×C4×C22⋊D79C22semidirect
213. C2×(C22⋊D79)⋊C4C22semidirect
214. C4×D4×D79C22semidirect
215. C4×D4×D79C22semidirect
216. C2×#14579119C22semidirect
217. C2×#14579118C22semidirect
218. C22×(C2×D79)⋊C4C22semidirect
219. C22×(C2×D79)⋊C4C22semidirect
220. C2×C22⋊C4×D79C22semidirect
221. C2×C22⋊C4×D79C22semidirect
222. #543×C79C22semidirect
223. #539×C79C22semidirect
224. #539×C79C22semidirect
225. #538×C79C22semidirect
226. #538×C79C22semidirect
227. #534×C79C22semidirect
228. #534×C79C22semidirect
229. #529×C79C22semidirect
230. #529×C79C22semidirect
231. #525×C79C22semidirect
232. #525×C79C22semidirect
233. C2×C4×D4×C79C22semidirect
234. C2×C4×D4×C79C22semidirect
238. C2×#11929625C23semidirect
239. C2×#11929625C23semidirect
241. C2×#11929624C23semidirect
244. C2×#11929623C23semidirect
245. C2×#11929623C23semidirect
246. C2×#11929623C23semidirect
247. C22×Dic158C23semidirect
248. C2×Q8×D79C23semidirect
258. C22×C22⋊D79C23semidirect
266. C2×D4×D79C23semidirect
274. C22×C4×D79C23semidirect
275. C22×C4×D79C23semidirect
276. #14579160C23semidirect
277. #14579160C23semidirect
278. #14579160C23semidirect
279. #14579159C23semidirect
280. #14579159C23semidirect
283. #14579157C23semidirect
290. #14579156C23semidirect
291. #14579156C23semidirect
292. #14579156C23semidirect
293. #14579156C23semidirect
294. #14579156C23semidirect
297. #14579155C23semidirect
298. #14579155C23semidirect
299. #14579155C23semidirect
300. #14579154C23semidirect
301. #14579154C23semidirect
302. #14579154C23semidirect
303. #14579154C23semidirect
304. #14579154C23semidirect
305. #14579153C23semidirect
306. #14579152C23semidirect
307. #14579151C23semidirect
308. #14579151C23semidirect
309. #14579151C23semidirect
310. #14579151C23semidirect
311. #14579151C23semidirect
312. #14579151C23semidirect
317. #14579149C23semidirect
318. #14579149C23semidirect
319. #14579149C23semidirect
320. #14579148C23semidirect
327. #14579147C23semidirect
328. #14579147C23semidirect
329. #14579147C23semidirect
330. #14579147C23semidirect
331. #14579147C23semidirect
332. #14579147C23semidirect
339. #14579146C23semidirect
340. #14579146C23semidirect
341. #14579146C23semidirect
342. #14579146C23semidirect
343. #14579146C23semidirect
344. #14579146C23semidirect
347. #14579145C23semidirect
348. #14579145C23semidirect
349. #14579145C23semidirect
353. #14579144C23semidirect
354. #14579144C23semidirect
355. #14579144C23semidirect
356. #14579143C23semidirect
357. #14579143C23semidirect
358. #14579143C23semidirect
359. #14579143C23semidirect
360. #14579143C23semidirect
361. #14579143C23semidirect
363. #14579142C23semidirect
364. #14579142C23semidirect
365. #14579141C23semidirect
366. #14579141C23semidirect
367. #14579141C23semidirect
368. #14579141C23semidirect
369. #14579141C23semidirect
372. #14579140C23semidirect
375. #14579139C23semidirect
376. #14579139C23semidirect
377. #14579139C23semidirect
378. #14579139C23semidirect
379. #14579139C23semidirect
382. #14579138C23semidirect
383. #14579138C23semidirect
384. #14579138C23semidirect
385. #14579138C23semidirect
386. #14579138C23semidirect
387. #14579138C23semidirect
388. #14579138C23semidirect
389. #14579137C23semidirect
390. #14579137C23semidirect
391. #14579137C23semidirect
392. #14579137C23semidirect
397. #14579136C23semidirect
398. #14579136C23semidirect
399. #14579136C23semidirect
404. #14579135C23semidirect
405. #14579135C23semidirect
406. #14579135C23semidirect
415. #14579134C23semidirect
416. #14579134C23semidirect
417. #14579134C23semidirect
418. #14579134C23semidirect
419. #14579134C23semidirect
428. #14579133C23semidirect
429. #14579133C23semidirect
430. #14579133C23semidirect
431. #14579133C23semidirect
432. #14579133C23semidirect
433. #14579132C23semidirect
434. #14579132C23semidirect
435. #14579132C23semidirect
436. #14579132C23semidirect
445. #14579131C23semidirect
446. #14579131C23semidirect
455. #14579129C23semidirect
456. Q8×Dic79C23semidirect
457. C4×Dic158C23semidirect
458. C4×Dic158C23semidirect
459. C4×Dic158C23semidirect
460. #14579126C23semidirect
461. #14579126C23semidirect
462. #14579126C23semidirect
463. #14579126C23semidirect
464. #14579126C23semidirect
469. C4×D316C23semidirect
470. C4×D316C23semidirect
471. C4×D316C23semidirect
476. D4×Dic79C23semidirect
477. D4×Dic79C23semidirect
478. D4×Dic79C23semidirect
479. D4×Dic79C23semidirect
484. #14579123C23semidirect
485. #14579123C23semidirect
486. #14579123C23semidirect
487. #14579123C23semidirect
488. #14579123C23semidirect
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
507. C4×C22⋊D79C23semidirect
518. (C22⋊D79)⋊C4C23semidirect
519. (C22⋊D79)⋊C4C23semidirect
520. (C22⋊D79)⋊C4C23semidirect
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. #14579120C23semidirect
528. #14579120C23semidirect
531. #14579119C23semidirect
532. #14579119C23semidirect
533. #14579119C23semidirect
534. #14579119C23semidirect
535. #14579119C23semidirect
536. #14579119C23semidirect
537. #14579119C23semidirect
540. #14579118C23semidirect
541. #14579118C23semidirect
542. #14579118C23semidirect
544. #14579117C23semidirect
545. #14579117C23semidirect
546. #14579117C23semidirect
547. #14579117C23semidirect
548. #14579117C23semidirect
550. C2×C4⋊Dic79C23semidirect
553. C2×Dic79⋊C4C23semidirect
554. C2×Dic79⋊C4C23semidirect
555. C2×Dic79⋊C4C23semidirect
556. C2×Dic79⋊C4C23semidirect
557. C2×Dic79⋊C4C23semidirect
558. C4⋊C4×D79C23semidirect
559. C4⋊C4×D79C23semidirect
560. C4⋊C4×D79C23semidirect
561. C4⋊C4×D79C23semidirect
562. C4⋊C4×D79C23semidirect
566. C2×C22⋊Dic79C23semidirect
567. C2×C22⋊Dic79C23semidirect
586. C2×(C2×D79)⋊C4C23semidirect
587. C2×(C2×D79)⋊C4C23semidirect
588. C2×(C2×D79)⋊C4C23semidirect
596. C22⋊C4×D79C23semidirect
597. C22⋊C4×D79C23semidirect
598. C22⋊C4×D79C23semidirect
599. C22⋊C4×D79C23semidirect
603. C2×C4×Dic79C23semidirect
604. C2×C4×Dic79C23semidirect
605. C42×D79C23semidirect
606. C42×D79C23semidirect
607. C2×#41×C79C23semidirect
612. C23×C4×C79C23semidirect
613. #126×C79C23semidirect
614. #126×C79C23semidirect
615. #126×C79C23semidirect
616. #125×C79C23semidirect
617. #125×C79C23semidirect
618. #124×C79C23semidirect
619. #124×C79C23semidirect
622. #123×C79C23semidirect
623. #123×C79C23semidirect
624. #123×C79C23semidirect
625. #123×C79C23semidirect
628. C22⋊Q8×C79C23semidirect
629. C22⋊Q8×C79C23semidirect
630. C22⋊Q8×C79C23semidirect
631. C22⋊Q8×C79C23semidirect
636. #121×C79C23semidirect
637. #121×C79C23semidirect
640. #120×C79C23semidirect
641. C4×Q8×C79C23semidirect
646. C4×D4×C79C23semidirect
647. C4×D4×C79C23semidirect
648. C4×D4×C79C23semidirect
649. C4×D4×C79C23semidirect
650. #117×C79C23semidirect
651. #117×C79C23semidirect
653. C2×C4⋊C4×C79C23semidirect
657. C2×C22⋊C4×C79C23semidirect
659. C2×C42×C79C23semidirect
708. C2×C22⋊D79#41semidirect
1151. #3459D79semidirect
1157. C79#62846semidirect
1235. #543C2×D79semidirect
1249. #539C2×D79semidirect
1250. #539C2×D79semidirect
1272. #538C2×D79semidirect
1273. #538C2×D79semidirect
1280. #534C2×D79semidirect
1281. #534C2×D79semidirect
1297. #529C2×D79semidirect
1298. #529C2×D79semidirect
1315. #525C2×D79semidirect
1316. #525C2×D79semidirect
1357. C2×C4×D4C2×D79semidirect
1358. C2×C4×D4C2×D79semidirect
1377. C2×#41C22×D79semidirect
1411. C23×C4C22×D79semidirect
1441. #126C22×D79semidirect
1442. #126C22×D79semidirect
1443. #126C22×D79semidirect
1452. #125C22×D79semidirect
1453. #125C22×D79semidirect
1474. #124C22×D79semidirect
1475. #124C22×D79semidirect
1510. #123C22×D79semidirect
1511. #123C22×D79semidirect
1512. #123C22×D79semidirect
1513. #123C22×D79semidirect
1544. C22⋊Q8C22×D79semidirect
1545. C22⋊Q8C22×D79semidirect
1546. C22⋊Q8C22×D79semidirect
1547. C22⋊Q8C22×D79semidirect
1596. #121C22×D79semidirect
1597. #121C22×D79semidirect
1619. #120C22×D79semidirect
1629. C4×Q8C22×D79semidirect
1696. C4×D4C22×D79semidirect
1697. C4×D4C22×D79semidirect
1698. C4×D4C22×D79semidirect
1699. C4×D4C22×D79semidirect
1722. #117C22×D79semidirect
1723. #117C22×D79semidirect
1739. C2×C4⋊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
#237774582
#237774542
#237774242
#237774202
#237773532
#237773492
#237773302
#237773262
#237772432
#237772372
#237772352
#237772002
#237771612
#237771122
#237770902
#237770882
#237770832
#237770322
#237768192
#237768092
#237768082
#237767862
C2×#190991462
#538×D792
C4×#145792062
C2×#190990352
C79×#34592
#6284679