Finite Group Databasebeta

← #35196924

Subgroups — #35196924

Order 20224.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777601C214yesmaximal, complemented
2#23777599C214yesmaximal, complemented
3#23777582C214yesmaximal, complemented
4#23777580C214yesmaximal, complemented
5#23777570C214yesmaximal, complemented
6#23777559C214yesmaximal, complemented
7#23777335C214yesmaximal, complemented
8#23777333C214yesmaximal, complemented
9#23777332C214yesmaximal, complemented
10#23777326C214yesmaximal, complemented
11#23777102C214yesmaximal, complemented
12#23777097C211yesmaximal, characteristic, complemented
13#23777096C211yesmaximal, characteristic, complemented
14#23777096C211yesmaximal, characteristic, complemented
15#23777093C211yesmaximal, characteristic, complemented
16#23777088C211yesmaximal, characteristic, complemented
17#23777085C211yesmaximal, characteristic, complemented
18#23777082C214yesmaximal, complemented
19#23777044C211yesmaximal, characteristic, complemented
20#23777041C211yesmaximal, characteristic, complemented
21#23777040C211yesmaximal, characteristic, complemented
22#23777032C211yesmaximal, characteristic, complemented
23#23777031C211yesmaximal, characteristic, complemented
24C2×#19099071C211yesmaximal, characteristic, complemented
25C2×#19099070C211yesmaximal, characteristic, complemented
26C2×#123×D79C211yesmaximal, characteristic, complemented
27C79×#3485C211yesmaximal, characteristic, complemented
28C2×#14579206C2211yescharacteristic, complemented
29C22×#11929623C2211yescharacteristic, complemented
30C22×D4×D79C2211yescharacteristic
31C23×C4×D79C2211yescharacteristic, complemented
32#19099314C2214yescomplemented
33#19099312C2214yescomplemented
34#19099310C2214yescomplemented
35#19099309C2214yescomplemented
36#19099308C2214yescomplemented
37#19099307C2214yescomplemented
38#19099302C2214yescomplemented
39#19099301C2214yescomplemented
40#19099297C2214yescomplemented
41#19099296C2214yescomplemented
42#19099274C2214yescomplemented
43#19099268C2214yescomplemented
44#19099267C2214yescomplemented
45#19099267C2214yescomplemented
46#19099263C2214yescomplemented
47#19099262C2214yescomplemented
48#19099261C2214yescomplemented
49#19099260C2214yescomplemented
50#19099258C2214yescomplemented
51#19099258C2214yescomplemented
52#19099258C2214yescomplemented
53#19099256C2214yescomplemented
54#19099253C2214yescomplemented
55#19099250C2214yescomplemented
56#19099250C2214yescomplemented
57#19099250C2214yescomplemented
58#19099250C2214yescomplemented
59#19099248C2214yescomplemented
60#19099248C2214yescomplemented
61#19099246C2214yescomplemented
62#19099244C2214yescomplemented
63#19099244C2214yescomplemented
64#19099243C2214yescomplemented
65#19099242C2214yescomplemented
66#19099242C2214yescomplemented
67#19099242C2214yescomplemented
68#19099241C2214yescomplemented
69#19099240C2214yescomplemented
70#19099240C2214yescomplemented
71#19099239C2214yescomplemented
72#19099239C2214yescomplemented
73#19099239C2214yescomplemented
74#19099239C2214yescomplemented
75#19099237C2214yescomplemented
76#19099236C2214yescomplemented
77#19099236C2214yescomplemented
78#19099236C2214yescomplemented
79#19099236C2214yescomplemented
80#19099213C2214yescomplemented
81#19099212C2214yescomplemented
82#19099212C2214yescomplemented
83#19099212C2214yescomplemented
84#19099212C2214yescomplemented
85#19099211C2214yescomplemented
86#19099210C2214yescomplemented
87#19099209C2214yescomplemented
88#19099207C2214yescomplemented
89#19099207C2214yescomplemented
90#19099205C2214yescomplemented
91#19099203C2214yescomplemented
92#19099203C2214yescomplemented
93#19099202C2214yescomplemented
94#19099202C2214yescomplemented
95#19099202C2214yescomplemented
96#19099201C2214yescomplemented
97#19099201C2214yescomplemented
98#19099201C2214yescomplemented
99#19099201C2214yescomplemented
100#19099200C2214yescomplemented
101#19099200C2214yescomplemented
102#19099200C2214yescomplemented
103#19099200C2214yescomplemented
104#19099197C2214yescomplemented
105D4×C22⋊D79C2214yescomplemented
106D4×C22⋊D79C2214yescomplemented
107#19099195C2214yescomplemented
108#19099190C2214yescomplemented
109#19099189C2211yescharacteristic, complemented
110#19099189C2211yescharacteristic, complemented
111#19099188C2214yescomplemented
112#19099187C2214yescomplemented
113#19099183C2214yescomplemented
114#19099181C2214yescomplemented
115#19099177C2214yescomplemented
116#19099166C2214yescomplemented
117#19099165C2214yescomplemented
118#19099163C2214yescomplemented
119#19099163C2214yescomplemented
120#19099162C2214yescomplemented
121#19099160C2214yescomplemented
122#19099159C2214yescomplemented
123#19099159C2214yescomplemented
124#19099159C2214yescomplemented
125#19099158C2214yescomplemented
126#19099157C2214yescomplemented
127#19099157C2214yescomplemented
128#19099156C2214yescomplemented
129#19099156C2214yescomplemented
130#19099155C2214yescomplemented
131#19099155C2214yescomplemented
132#19099151C2214yescomplemented
133#19099150C2214yescomplemented
134#19099149C2214yescomplemented
135#19099149C2214yescomplemented
136#19099148C2214yescomplemented
137#19099147C2214yescomplemented
138#19099146C2214yescomplemented
139#19099146C2214yescomplemented
140#19099145C2214yescomplemented
141#19099145C2214yescomplemented
142#19099142C2214yescomplemented
143#19099137C2212yescomplemented
144#19099135C2212yescomplemented
145#19099134C2212yescomplemented
146#19099128C2212yescomplemented
147#19099127C2212yescomplemented
148#19099124C2212yescomplemented
149#19099123C2214yescomplemented
150#19099123C2212yescomplemented
151#19099122C2211yescharacteristic
152#19099122C2211yescharacteristic
153#19099122C2211yescharacteristic
154#19099122C2212yescomplemented
155#19099122C2211yescharacteristic, complemented
156#19099122C2212yescomplemented
157#19099122C2212yescomplemented
158#19099094C2214yescomplemented
159#19099093C2214yescomplemented
160#19099090C2214yescomplemented
161#19099090C2214yescomplemented
162#19099074C2212yescomplemented
163#19099073C2214yescomplemented
164#19099072C2214yescomplemented
165#19099071C2212yescomplemented
166#19099071C2214yescomplemented
167#19099071C2214yescomplemented
168#19099071C2214yescomplemented
169#19099071C2214yescomplemented
170#19099070C2212yescomplemented
171#19099070C2214yescomplemented
172#19099070C2214yescomplemented
173#19099070C2212yescomplemented
174#19099070C2214yescomplemented
175#19099070C2214yescomplemented
176#19099069C2212yescomplemented
177C2×#14579146C2212yescomplemented
178C2×#14579145C2211yescharacteristic, complemented
179C2×#14579144C2211yescharacteristic, complemented
180C2×#14579144C2211yescharacteristic, complemented
181C2×#14579144C2212yescomplemented
182C2×#14579143C2212yescomplemented
183C2×#14579142C2211yescharacteristic, complemented
184C2×#14579142C2211yescharacteristic, complemented
185C2×#14579142C2211yescharacteristic, complemented
186C2×#14579142C2212yescomplemented
187#123×D79C2214yescomplemented
188#123×D79C2214yescomplemented
189#123×D79C2214yescomplemented
190#123×D79C2214yescomplemented
191#123×D79C2212yescomplemented
192C2×#14579139C2212yescomplemented
193C2×#14579137C2212yescomplemented
194C2×#14579134C2212yescomplemented
195C2×#14579132C2212yescomplemented
196C2×#14579131C2211yescharacteristic, complemented
197C2×#14579129C2212yescomplemented
198C2×#14579129C2211yescharacteristic, complemented
199C2×#14579129C2211yescharacteristic, complemented
200C2×#14579129C2211yescharacteristic, complemented
201#120×D79C2212yescomplemented
202#19099044C2214yescomplemented
203#19099042C2214yescomplemented
204#19099038C2211yescharacteristic, complemented
205#19099038C2211yescharacteristic, complemented
206#19099038C2211yescharacteristic, complemented
207#19099036C2211yescharacteristic, complemented
208#19099036C2211yescharacteristic, complemented
209#19099036C2214yescomplemented
210#19099035C2214yescomplemented
211C2×#14579123C2212yescomplemented
212C2×C4×C22⋊D79C2212yescomplemented
213C2×C4×C22⋊D79C2212yescomplemented
214C2×(C22⋊D79)⋊C4C2212yescomplemented
215C2×#14579120C2211yescharacteristic, complemented
216C2×#14579117C2211yescharacteristic, complemented
217C2×C4⋊C4×D79C2212yescomplemented
218C2×C22⋊C4×D79C2212yescomplemented
219C2×C22⋊C4×D79C2211yescharacteristic, complemented
220C2×H(5,𝔽2)×C79C2211yescharacteristic, complemented
221C22×#41×C79C2211yescharacteristic, complemented
222#547×C79C2214yescomplemented
223#547×C79C2214yescomplemented
224#546×C79C2214yescomplemented
225#546×C79C2214yescomplemented
226#536×C79C2212yescomplemented
227#534×C79C2211yescharacteristic
228#534×C79C2211yescharacteristic, complemented
229#534×C79C2212yescomplemented
230#525×C79C2212yescomplemented
231C2×#123×C79C2211yescharacteristic, complemented
232C2×#123×C79C2211yescharacteristic, complemented
233C2×#123×C79C2212yescomplemented
234#518×C79C2211yescharacteristic, complemented
235C24×D79C2311yescharacteristic
236C24×D79C2311yescharacteristic
237#14579206—44no—
238C2×#11929624C2312yes—
239C2×#11929624C2314yes—
240C2×#11929623—44no—
241C2×#11929623C2312yes—
242C2×#11929623C2312yes—
243C2×#11929623C2314yes—
244C2×#11929623C2314yes—
245C2×#11929623C2314yescomplemented
246C22×Dic158C2311yescharacteristic, complemented
247C22×D316C2312yes—
248C22×D316C2311yescharacteristic
249C22×C22⋊D79C2311yescharacteristic
250C22×C22⋊D79C2311yescharacteristic
251C22×C22⋊D79C2312yes—
252C22×C22⋊D79C2312yes—
253C22×C22⋊D79C2312yes—
254C22×C22⋊D79C2314yes—
255C22×C22⋊D79C2312yes—
256C22×C22⋊D79C2311yescharacteristic
257C22×C22⋊D79C2311yescharacteristic, complemented
258C2×D4×D79—44no—
259C2×D4×D79C2312yes—
260C2×D4×D79C2312yes—
261C2×D4×D79C2314yes—
262C2×D4×D79C2314yes—
263C2×D4×D79C2314yes—
264C23×Dic79C2311yescharacteristic
265C23×Dic79C2311yescharacteristic, complemented
266C22×C4×D79—44no—
267C22×C4×D79C2312yes—
268C22×C4×D79C2312yes—
269C22×C4×D79C2311yescharacteristic
270C22×C4×D79C2312yes—
271C22×C4×D79C2312yes—
272C22×C4×D79C2312yes—
273C22×C4×D79C2312yes—
274C22×C4×D79C2312yes—
275C22×C4×D79C2311yescharacteristic, complemented
276#14579160C2314yescomplemented
277#14579159C2314yescomplemented
278#14579159C2314yescomplemented
279#14579157C2314yes—
280#14579157C2314yes—
281#14579156C2314yescomplemented
282#14579156C2314yescomplemented
283#14579156C2314yescomplemented
284#14579156C2314yescomplemented
285#14579156C2314yescomplemented
286#14579156C2314yescomplemented
287#14579156C2314yescomplemented
288#14579156C2314yescomplemented
289#14579155C2314yescomplemented
290#14579155C2314yescomplemented
291#14579154C2314yescomplemented
292#14579154C2314yescomplemented
293#14579154C2314yescomplemented
294#14579154C2314yescomplemented
295#14579154C2314yescomplemented
296#14579154C2314yescomplemented
297#14579154C2314yescomplemented
298#14579154C2314yescomplemented
299#14579154C2314yescomplemented
300#14579154C2314yescomplemented
301#14579153C2314yescomplemented
302#14579152C2314yescomplemented
303#14579152C2314yescomplemented
304#14579152C2314yescomplemented
305#14579151C2314yescomplemented
306#14579151C2314yescomplemented
307#14579151C2314yescomplemented
308#14579151C2314yescomplemented
309#14579151C2314yescomplemented
310#14579151C2314yescomplemented
311#14579151C2314yescomplemented
312#14579151C2314yescomplemented
313#14579150C2314yes—
314#14579150C2314yescomplemented
315#14579149C2314yescomplemented
316#14579148C2314yescomplemented
317#14579148C2314yescomplemented
318#14579147C2314yes—
319#14579147C2314yescomplemented
320#14579147C2314yescomplemented
321#14579147C2314yescomplemented
322#14579147C2314yescomplemented
323#14579147C2314yescomplemented
324#14579147C2314yescomplemented
325#14579147C2314yescomplemented
326#14579146C2314yes—
327#14579146C2314yes—
328#14579146C2314yes—
329#14579146C2314yes—
330#14579146C2314yes—
331#14579146C2314yes—
332#14579146C2314yescomplemented
333#14579146C2314yescomplemented
334#14579145C2312yes—
335#14579145C2314yes—
336#14579145C2312yes—
337#14579145C2314yescomplemented
338#14579145C2314yescomplemented
339#14579145C2314yescomplemented
340#14579145C2314yescomplemented
341#14579144C2312yes—
342#14579144C2312yes—
343#14579144C2314yes—
344#14579144C2312yes—
345#14579144C2314yes—
346#14579144C2314yes—
347#14579144C2312yes—
348#14579144C2312yes—
349#14579144C2312yescomplemented
350#14579144C2312yescomplemented
351#14579144C2314yescomplemented
352#14579144C2314yescomplemented
353#14579144C2314yescomplemented
354#14579144C2314yescomplemented
355#14579144C2314yescomplemented
356#14579144C2312yescomplemented
357#14579143C2314yes—
358#14579143C2314yes—
359#14579143C2314yes—
360#14579143C2314yes—
361#14579143C2314yes—
362#14579143C2314yes—
363#14579143C2314yes—
364#14579143C2314yescomplemented
365#14579143C2314yescomplemented
366#14579143C2314yescomplemented
367#14579143C2314yescomplemented
368#14579143C2314yescomplemented
369#14579142C2312yes—
370#14579142C2312yes—
371#14579142C2314yes—
372#14579142C2314yes—
373#14579142C2314yes—
374#14579142C2312yes—
375#14579142C2312yes—
376#14579142C2312yes—
377#14579142C2314yescomplemented
378#14579142C2314yescomplemented
379#14579142C2314yescomplemented
380#14579142C2312yescomplemented
381#14579142C2314yescomplemented
382#14579142C2312yescomplemented
383#14579142C2314yescomplemented
384#14579142C2312yescomplemented
385#14579142C2312yescomplemented
386#14579142C2312yescomplemented
387#14579141C2314yes—
388#14579141C2314yescomplemented
389#14579141C2314yescomplemented
390#14579140C2314yes—
391#14579140C2314yescomplemented
392#14579140C2314yescomplemented
393#14579140C2314yescomplemented
394#14579140C2314yescomplemented
395#14579140C2314yescomplemented
396#14579139C2314yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yescomplemented
401#14579139C2314yescomplemented
402#14579139C2314yescomplemented
403#14579139C2314yescomplemented
404#14579138C2314yes—
405#14579138C2314yescomplemented
406#14579138C2314yescomplemented
407#14579138C2314yescomplemented
408#14579138C2314yescomplemented
409#14579138C2314yescomplemented
410#14579138C2314yescomplemented
411#14579138C2314yescomplemented
412#14579138C2314yescomplemented
413#14579138C2314yescomplemented
414#14579137C2314yes—
415#14579137C2314yes—
416#14579137C2314yes—
417#14579137C2314yescomplemented
418#14579137C2314yescomplemented
419#14579137C2314yescomplemented
420#14579137C2314yescomplemented
421#14579137C2314yescomplemented
422#14579136C2314yes—
423#14579135C2314yes—
424#14579135C2314yes—
425#14579135C2314yescomplemented
426#14579135C2314yescomplemented
427#14579134C2314yes—
428#14579134C2314yes—
429#14579134C2314yes—
430#14579134C2314yes—
431#14579134C2314yes—
432#14579134C2314yes—
433#14579134C2314yescomplemented
434#14579134C2314yescomplemented
435#14579134C2314yescomplemented
436#14579134C2314yescomplemented
437#14579133C2314yes—
438#14579133C2314yes—
439#14579133C2314yes—
440#14579133C2314yes—
441#14579133C2314yes—
442#14579133C2314yes—
443#14579133C2314yes—
444#14579133C2314yescomplemented
445#14579133C2314yescomplemented
446#14579133C2314yescomplemented
447#14579133C2314yescomplemented
448#14579133C2314yescomplemented
449#14579133C2314yescomplemented
450#14579133C2314yescomplemented
451#14579132C2314yes—
452#14579132C2314yes—
453#14579132C2314yes—
454#14579132C2314yes—
455#14579132C2314yescomplemented
456#14579132C2314yescomplemented
457#14579132C2314yescomplemented
458#14579132C2314yescomplemented
459#14579131C2312yes—
460#14579131C2314yes—
461#14579131C2314yes—
462#14579131C2314yes—
463#14579131C2312yes—
464#14579130C2314yes—
465#14579130C2312yes—
466#14579130C2312yes—
467#14579130C2312yes—
468#14579130C2314yescomplemented
469#14579130C2312yescomplemented
470#14579129C2314yes—
471#14579129C2314yes—
472#14579129C2314yes—
473#14579129C2312yes—
474#14579129C2312yes—
475#14579129C2312yes—
476#14579129C2314yes—
477#14579129C2314yes—
478#14579129C2312yes—
479#14579129C2314yes—
480#14579129C2312yes—
481#14579129C2312yes—
482#14579129C2312yes—
483#14579129C2312yes—
484#14579129C2312yes—
485#14579129C2314yescomplemented
486#14579129C2314yescomplemented
487#14579129C2312yescomplemented
488C4×Dic158C2314yescomplemented
489#14579126C2314yescomplemented
490#14579126C2314yescomplemented
491#14579126C2314yescomplemented
492C4×D316C2314yes—
493D4×Dic79C2314yes—
494D4×Dic79C2314yes—
495D4×Dic79C2314yes—
496D4×Dic79C2314yes—
497D4×Dic79C2314yescomplemented
498D4×Dic79C2314yescomplemented
499D4×Dic79C2314yescomplemented
500D4×Dic79C2314yescomplemented
501#14579123C2314yes—
502#14579123C2314yes—
503#14579123C2314yes—
504#14579123C2314yescomplemented
505#14579123C2314yescomplemented
506C4×C22⋊D79C2314yes—
507C4×C22⋊D79C2314yes—
508C4×C22⋊D79C2314yes—
509C4×C22⋊D79C2314yes—
510C4×C22⋊D79C2314yes—
511C4×C22⋊D79C2314yes—
512C4×C22⋊D79C2314yes—
513C4×C22⋊D79C2314yes—
514C4×C22⋊D79C2314yes—
515C4×C22⋊D79C2314yescomplemented
516C4×C22⋊D79C2314yescomplemented
517C4×C22⋊D79C2314yescomplemented
518C4×C22⋊D79C2314yescomplemented
519C4×C22⋊D79C2314yescomplemented
520C4×C22⋊D79C2314yescomplemented
521C4×C22⋊D79C2314yescomplemented
522C4×C22⋊D79C2314yescomplemented
523C4×C22⋊D79C2314yescomplemented
524(C22⋊D79)⋊C4C2314yes—
525(C22⋊D79)⋊C4C2314yes—
526(C22⋊D79)⋊C4C2314yes—
527(C22⋊D79)⋊C4C2314yes—
528(C22⋊D79)⋊C4C2314yes—
529(C22⋊D79)⋊C4C2314yes—
530(C22⋊D79)⋊C4C2314yescomplemented
531(C22⋊D79)⋊C4C2314yescomplemented
532(C22⋊D79)⋊C4C2314yescomplemented
533(C22⋊D79)⋊C4C2314yescomplemented
534(C22⋊D79)⋊C4C2314yescomplemented
535(C22⋊D79)⋊C4C2314yescomplemented
536#14579120C2314yes—
537#14579120C2312yes—
538#14579120C2312yescomplemented
539#14579120C2314yescomplemented
540#14579120C2312yescomplemented
541#14579120C2314yescomplemented
542#14579119C2314yes—
543#14579119C2314yescomplemented
544#14579119C2314yescomplemented
545#14579118C2314yes—
546#14579118C2314yescomplemented
547#14579117C2314yes—
548#14579117C2312yes—
549#14579117C2314yescomplemented
550#14579117C2314yescomplemented
551#14579117C2314yescomplemented
552#14579117C2314yescomplemented
553#14579117C2314yescomplemented
554#14579117C2312yescomplemented
555C2×C4⋊Dic79C2312yes—
556C2×C4⋊Dic79C2312yescomplemented
557C2×Dic79⋊C4C2312yes—
558C2×Dic79⋊C4C2312yes—
559C2×Dic79⋊C4C2312yescomplemented
560C2×Dic79⋊C4C2314yescomplemented
561C2×Dic79⋊C4C2314yescomplemented
562C2×Dic79⋊C4C2312yescomplemented
563C2×Dic79⋊C4C2312yescomplemented
564C2×Dic79⋊C4C2312yescomplemented
565C4⋊C4×D79C2314yes—
566C4⋊C4×D79C2314yes—
567C4⋊C4×D79C2314yes—
568C4⋊C4×D79C2314yes—
569C4⋊C4×D79C2314yescomplemented
570C2×C22⋊Dic79C2311yescharacteristic
571C2×C22⋊Dic79C2311yescharacteristic
572C2×C22⋊Dic79C2311yescharacteristic
573C2×C22⋊Dic79C2311yescharacteristic
574C2×C22⋊Dic79C2312yes—
575C2×C22⋊Dic79C2312yes—
576C2×C22⋊Dic79C2314yescomplemented
577C2×C22⋊Dic79C2312yescomplemented
578C2×C22⋊Dic79C2312yescomplemented
579C2×C22⋊Dic79C2312yescomplemented
580C2×C22⋊Dic79C2312yescomplemented
581C2×(C2×D79)⋊C4C2312yes—
582C2×(C2×D79)⋊C4C2314yes—
583C2×(C2×D79)⋊C4C2312yes—
584C2×(C2×D79)⋊C4C2312yes—
585C2×(C2×D79)⋊C4C2312yes—
586C2×(C2×D79)⋊C4C2312yes—
587C2×(C2×D79)⋊C4C2312yes—
588C2×(C2×D79)⋊C4C2312yes—
589C2×(C2×D79)⋊C4C2314yescomplemented
590C2×(C2×D79)⋊C4C2312yescomplemented
591C22⋊C4×D79C2314yes—
592C22⋊C4×D79C2314yes—
593C22⋊C4×D79C2314yes—
594C22⋊C4×D79C2314yes—
595C22⋊C4×D79C2314yes—
596C22⋊C4×D79C2314yes—
597C22⋊C4×D79C2314yes—
598C22⋊C4×D79C2312yes—
599C22⋊C4×D79C2314yescomplemented
600C22⋊C4×D79C2312yescomplemented
601C2×C4×Dic79C2312yescomplemented
602C2×C4×Dic79C2312yescomplemented
603H(5,𝔽2)×C79—44no—
604C2×#41×C79—44no—
605C2×#41×C79C2312yes—
606C2×#41×C79C2312yes—
607C2×#41×C79C2314yes—
608C2×#41×C79C2312yes—
609C2×#41×C79C2314yescomplemented
610C22×Q8×C79C2311yescharacteristic, complemented
611C22×D4×C79C2311yescharacteristic
612C22×D4×C79C2311yescharacteristic
613C22×D4×C79C2311yescharacteristic
614C22×D4×C79C2311yescharacteristic
615C22×D4×C79C2312yes—
616C22×D4×C79C2312yes—
617C22×D4×C79C2312yes—
618C22×D4×C79C2311yescharacteristic, complemented
619C23×C4×C79C2311yescharacteristic
620C23×C4×C79C2311yescharacteristic, complemented
621C23×C4×C79C2311yescharacteristic, complemented
622C4⋊Q8×C79C2314yescomplemented
623#124×C79C2314yescomplemented
624#123×C79C2312yes—
625#123×C79C2312yes—
626#123×C79C2314yes—
627#123×C79C2314yes—
628#123×C79C2312yes—
629#123×C79C2312yes—
630#123×C79C2314yescomplemented
631#123×C79C2314yescomplemented
632#123×C79C2314yescomplemented
633#123×C79C2312yescomplemented
634#123×C79C2312yescomplemented
635#123×C79C2312yescomplemented
636#123×C79C2312yescomplemented
637C22⋊Q8×C79C2314yescomplemented
638C22⋊Q8×C79C2314yescomplemented
639C22⋊Q8×C79C2314yescomplemented
640#121×C79C2314yes—
641#121×C79C2314yes—
642#121×C79C2314yescomplemented
643#121×C79C2314yescomplemented
644#121×C79C2314yescomplemented
645#120×C79C2312yes—
646#120×C79C2312yes—
647#120×C79C2314yescomplemented
648#120×C79C2312yescomplemented
649#120×C79C2312yescomplemented
650C4×D4×C79C2314yes—
651C4×D4×C79C2314yescomplemented
652C4×D4×C79C2314yescomplemented
653C4×D4×C79C2314yescomplemented
654#117×C79C2312yescomplemented
655C2×C4⋊C4×C79C2312yes—
656C2×C4⋊C4×C79C2314yescomplemented
657C2×C4⋊C4×C79C2312yescomplemented
658C2×C22⋊C4×C79C2311yescharacteristic
659C2×C22⋊C4×C79C2311yescharacteristic
660C2×C22⋊C4×C79C2312yes—
661C2×C22⋊C4×C79C2314yescomplemented
662C2×C22⋊C4×C79C2312yescomplemented
663C2×C22⋊C4×C79C2312yescomplemented
664C23×D79—24no—
665C23×D79—44no—
666C23×D79—44no—
667C23×D79—42no—
668C23×D79C2411yescharacteristic
669C23×D79C2412yes—
670C23×D79C2412yes—
671C23×D79C2414yes—
672C23×D79C2411yescharacteristic
673C23×D79C2411yescharacteristic
674C23×D79C2411yescharacteristic
675C23×D79C2412yes—
676#11929624—44no—
677#11929624—48no—
678#11929623—48no—
679#11929623—48no—
680#11929623—48no—
681#11929623—44no—
682#11929623—44no—
683C2×Dic158—42no—
684C2×Dic158C2414yes—
685C2×Dic158C2412yes—
686C2×Dic158C2414yes—
687C2×Dic158C2414yes—
688C2×D316—42no—
689C2×D316—44no—
690C2×D316C2414yes—
691C2×D316C2412yes—
692C2×D316C2414yes—
693C2×D316C2414yes—
694C2×C22⋊D79—24no—
695C2×C22⋊D79—24no—
696C2×C22⋊D79—44no—
697C2×C22⋊D79—44no—
698C2×C22⋊D79—48no—
699C2×C22⋊D79—44no—
700C2×C22⋊D79—44no—
701C2×C22⋊D79—42no—
702C2×C22⋊D79—42no—
703C2×C22⋊D79C2412yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2412yes—
707C2×C22⋊D79C2412yes—
708C2×C22⋊D79C2412yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2412yes—
712C2×C22⋊D79C2412yes—
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C2×C22⋊D79C2414yes—
716C2×C22⋊D79C2414yes—
717C2×C22⋊D79C2414yes—
718C2×C22⋊D79C2414yes—
719C2×C22⋊D79C2414yes—
720C2×C22⋊D79C2414yes—
721D4×D79—44no—
722D4×D79—44no—
723D4×D79—48no—
724D4×D79—48no—
725D4×D79—48no—
726C22×Dic79—24no—
727C22×Dic79—42no—
728C22×Dic79C2411yescharacteristic
729C22×Dic79C2411yescharacteristic
730C22×Dic79C2412yes—
731C22×Dic79C2411yescharacteristic
732C22×Dic79C2412yes—
733C22×Dic79C2411yescharacteristic
734C22×Dic79C2412yes—
735C22×Dic79C2414yes—
736C22×Dic79C2414yes—
737C22×Dic79C2414yes—
738C22×Dic79C2412yes—
739C22×Dic79C2412yes—
740C22×Dic79C2412yes—
741C22×Dic79C2412yes—
742C22×Dic79C2414yes—
743C2×C4×D79—42no—
744C2×C4×D79—44no—
745C2×C4×D79—44no—
746C2×C4×D79—44no—
747C2×C4×D79—44no—
748C2×C4×D79—44no—
749C2×C4×D79—44no—
750C2×C4×D79—42no—
751C2×C4×D79—44no—
752C2×C4×D79C2414yes—
753C2×C4×D79C2414yes—
754C2×C4×D79C2412yes—
755C2×C4×D79C2412yes—
756C2×C4×D79C2414yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2412yes—
760C2×C4×D79C2412yes—
761C2×C4×D79C2412yes—
762C2×C4×D79C2414yes—
763C2×C4×D79C2414yes—
764C2×C4×D79C2412yes—
765C2×C4×D79C2412yes—
766C2×C4×D79C2412yes—
767C2×C4×D79C2412yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2414yes—
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2414yes—
775C4⋊Dic79C2414yes—
776C4⋊Dic79C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
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⋊Dic79C2412yes—
804C22⋊Dic79C2414yes—
805C22⋊Dic79C2412yes—
806C22⋊Dic79C2414yes—
807C22⋊Dic79C2412yes—
808C22⋊Dic79C2412yes—
809C22⋊Dic79C2412yes—
810C22⋊Dic79C2412yes—
811C22⋊Dic79C2414yes—
812C22⋊Dic79C2414yes—
813C22⋊Dic79C2414yes—
814C22⋊Dic79C2414yes—
815C22⋊Dic79C2414yes—
816C22⋊Dic79C2414yes—
817C22⋊Dic79C2414yes—
818C22⋊Dic79C2414yes—
819C22⋊Dic79C2414yes—
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—
832(C2×D79)⋊C4C2414yes—
833(C2×D79)⋊C4C2414yes—
834(C2×D79)⋊C4C2414yes—
835(C2×D79)⋊C4C2414yes—
836(C2×D79)⋊C4C2414yes—
837(C2×D79)⋊C4C2414yes—
838(C2×D79)⋊C4C2414yes—
839(C2×D79)⋊C4C2414yes—
840(C2×D79)⋊C4C2414yes—
841(C2×D79)⋊C4C2414yes—
842C4×Dic79C2414yes—
843C4×Dic79C2414yes—
844C4×Dic79C2414yes—
845C4×Dic79C2414yes—
846C4×Dic79C2414yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C4×Dic79C2414yes—
851C24×C79C2411yescharacteristic
852C24×C79C2411yescharacteristic
853C24×C79C2411yescharacteristic
854C24×C79C2411yescharacteristic
855C24×C79C2412yes—
856C24×C79C2411yescharacteristic
857#41×C79—48no—
858#41×C79—48no—
859#41×C79—44no—
860#41×C79—44no—
861#41×C79—44no—
862C2×Q8×C79—42no—
863C2×Q8×C79C2414yes—
864C2×Q8×C79C2412yes—
865C2×D4×C79—24no—
866C2×D4×C79—24no—
867C2×D4×C79—24no—
868C2×D4×C79—24no—
869C2×D4×C79—42no—
870C2×D4×C79—44no—
871C2×D4×C79—44no—
872C2×D4×C79—44no—
873C2×D4×C79C2412yes—
874C2×D4×C79C2412yes—
875C2×D4×C79C2412yes—
876C2×D4×C79C2412yes—
877C2×D4×C79C2412yes—
878C2×D4×C79C2412yes—
879C2×D4×C79C2412yes—
880C2×D4×C79C2412yes—
881C2×D4×C79C2414yes—
882C2×D4×C79C2414yes—
883C2×D4×C79C2414yes—
884C2×D4×C79C2412yes—
885C2×D4×C79C2412yes—
886C2×D4×C79C2412yes—
887C22×C4×C79—24no—
888C22×C4×C79—42no—
889C22×C4×C79—42no—
890C22×C4×C79C2411yescharacteristic
891C22×C4×C79C2411yescharacteristic
892C22×C4×C79C2412yes—
893C22×C4×C79C2412yes—
894C22×C4×C79C2411yescharacteristic
895C22×C4×C79C2411yescharacteristic
896C22×C4×C79C2411yescharacteristic
897C22×C4×C79C2411yescharacteristic
898C22×C4×C79C2414yes—
899C22×C4×C79C2412yes—
900C22×C4×C79C2412yes—
901C22×C4×C79C2414yes—
902C22×C4×C79C2412yes—
903C22×C4×C79C2414yes—
904C22×C4×C79C2412yes—
905C22×C4×C79C2412yes—
906C4⋊C4×C79C2414yes—
907C4⋊C4×C79C2414yes—
908C4⋊C4×C79C2414yes—
909C4⋊C4×C79C2414yes—
910C4⋊C4×C79C2414yes—
911C4⋊C4×C79C2414yes—
912C4⋊C4×C79C2414yes—
913C22⋊C4×C79C2412yes—
914C22⋊C4×C79C2412yes—
915C22⋊C4×C79C2414yes—
916C22⋊C4×C79C2412yes—
917C22⋊C4×C79C2412yes—
918C22⋊C4×C79C2414yes—
919C22⋊C4×C79C2414yes—
920C22⋊C4×C79C2414yes—
921C22⋊C4×C79C2414yes—
922C22⋊C4×C79C2414yes—
923C22⋊C4×C79C2414yes—
924C22⋊C4×C79C2414yes—
925C22⋊C4×C79C2414yes—
926C42×C79C2414yes—
927C23×C79—22no—
928C23×C79—22no—
929C23×C79—22no—
930C23×C79—22no—
931C23×C79—42no—
932C23×C79—42no—
933C23×C79—42no—
934C23×C79—42no—
935C23×C79—42no—
936C23×C79—44no—
937C23×C79—42no—
938C23×C79H(5,𝔽2)14yes—
939C23×C79C2512yes—
940C23×C79C2512yes—
941C23×C79C2512yes—
942C23×C79C2512yes—
943C23×C79C2511yescharacteristic
944C23×C79C2511yescharacteristic
945C23×C79C2511yescharacteristic
946C22×D79—22no—
947C22×D79—24no—
948C22×D79—24no—
949C22×D79—24no—
950C22×D79—22no—
951C22×D79—22no—
952C22×D79—22no—
953C22×D79—24no—
954C22×D79—24no—
955C22×D79—28no—
956C22×D79—42no—
957C22×D79—42no—
958C22×D79—42no—
959C22×D79—44no—
960C22×D79—42no—
961C22×D79—44no—
962C22×D79—42no—
963C22×D79—42no—
964C22×D79—44no—
965C22×D79—416no—
966C22×D79—88no—
967C22×D79C2512yes—
968C22×D79C2512yes—
969C22×D79C2512yes—
970C22×D79C2512yes—
971Q8×C79—44no—
972Q8×C79—42no—
973D4×C79—24no—
974D4×C79—24no—
975D4×C79—24no—
976D4×C79—24no—
977D4×C79—24no—
978D4×C79—24no—
979D4×C79—24no—
980D4×C79—24no—
981D4×C79—44no—
982D4×C79—44no—
983D4×C79—42no—
984D4×C79—42no—
985D4×C79—42no—
986D4×C79—44no—
987C2×C4×C79—22no—
988C2×C4×C79—22no—
989C2×C4×C79—24no—
990C2×C4×C79—24no—
991C2×C4×C79—22no—
992C2×C4×C79—22no—
993C2×C4×C79—22no—
994C2×C4×C79—22no—
995C2×C4×C79—42no—
996C2×C4×C79—42no—
997C2×C4×C79—44no—
998C2×C4×C79—44no—
999C2×C4×C79—44no—
1000C2×C4×C79—42no—
1001C2×C4×C79—42no—
1002C2×C4×C79—42no—
1003C2×C4×C79C2512yes—
1004C2×C4×C79C2514yes—
1005C2×C4×C79C2512yes—
1006C2×C4×C79C2512yes—
1007C2×C4×C79C2512yes—
1008C2×C4×C79C2514yes—
1009C2×C4×C79C2512yes—
1010C2×C4×C79C2512yes—
1011C22⋊D79—24no—
1012C22⋊D79—24no—
1013C22⋊D79—24no—
1014C22⋊D79—24no—
1015C22⋊D79—28no—
1016C22⋊D79—28no—
1017C22⋊D79—28no—
1018C22⋊D79—44no—
1019C22⋊D79—42no—
1020C22⋊D79—42no—
1021C22⋊D79—44no—
1022C22⋊D79—44no—
1023C22⋊D79—44no—
1024C22⋊D79—44no—
1025C22⋊D79—44no—
1026C22⋊D79—44no—
1027C22⋊D79—44no—
1028C22⋊D79—44no—
1029C2×Dic79—22no—
1030C2×Dic79—22no—
1031C2×Dic79—24no—
1032C2×Dic79—24no—
1033C2×Dic79—22no—
1034C2×Dic79—22no—
1035C2×Dic79—42no—
1036C2×Dic79—44no—
1037C2×Dic79—42no—
1038C2×Dic79—42no—
1039C2×Dic79—44no—
1040C2×Dic79—42no—
1041C2×Dic79—42no—
1042C2×Dic79—44no—
1043C2×Dic79—44no—
1044C2×Dic79C2514yes—
1045C2×Dic79C2514yes—
1046C2×Dic79C2514yes—
1047C2×Dic79C2512yes—
1048C2×Dic79C2514yes—
1049C2×Dic79C2512yes—
1050C2×Dic79C2512yes—
1051C2×Dic79C2512yes—
1052D316—28no—
1053D316—44no—
1054D316—42no—
1055D316—44no—
1056C4×D79—28no—
1057C4×D79—42no—
1058C4×D79—42no—
1059C4×D79—42no—
1060C4×D79—42no—
1061C4×D79—42no—
1062C4×D79—42no—
1063C4×D79—42no—
1064C4×D79—42no—
1065C4×D79—44no—
1066C4×D79—44no—
1067C4×D79—44no—
1068C4×D79—44no—
1069C4×D79—42no—
1070C4×D79—42no—
1071C4×D79—44no—
1072Dic158—44no—
1073Dic158—44no—
1074Dic158—42no—
1075Dic158—44no—
1076C22×C79—22no—
1077C22×C79—22no—
1078C22×C79—22no—
1079C22×C79—22no—
1080C22×C79—22no—
1081C22×C79—22no—
1082C22×C79—22no—
1083C22×C79—24no—
1084C22×C79—24no—
1085C22×C79—24no—
1086C22×C79—24no—
1087C22×C79—44no—
1088C22×C79—82no—
1089C22×C79—82no—
1090C22×C79—82no—
1091C22×C79—82no—
1092C22×C79—162no—
1093C22×C79C2×H(5,𝔽2)12yes—
1094C22×C79C2×H(5,𝔽2)12yes—
1095C22×C79C2×H(5,𝔽2)12yes—
1096C22×C79C2611yescharacteristic
1097C2×D79—28no—
1098C2×D79—22no—
1099C2×D79—22no—
1100C2×D79—22no—
1101C2×D79—22no—
1102C2×D79—22no—
1103C2×D79—22no—
1104C2×D79—24no—
1105C2×D79—22no—
1106C2×D79—24no—
1107C2×D79—48no—
1108C2×D79—48no—
1109C2×D79—44no—
1110C2×D79—88no—
1111C2×D79—82no—
1112C2×D79—82no—
1113C2×D79—162no—
1114C2×D79#58514yes—
1115C4×C79—22no—
1116C4×C79—22no—
1117C4×C79—22no—
1118C4×C79—22no—
1119C4×C79—22no—
1120C4×C79—22no—
1121C4×C79—24no—
1122C4×C79—24no—
1123Dic79—22no—
1124Dic79—22no—
1125Dic79—22no—
1126Dic79—22no—
1127Dic79—24no—
1128Dic79—24no—
1129Dic79—24no—
1130Dic79—24no—
1131#62820—791nomaximal, Sylow
1132C2×C79—22no—
1133C2×C79—22no—
1134C2×C79—22no—
1135C2×C79—42no—
1136C2×C79—42no—
1137C2×C79—42no—
1138C2×C79—42no—
1139C2×C79C22×H(5,𝔽2)11yescharacteristic
1140C2×C79C2×#58512yes—
1141D79—24no—
1142D79—42no—
1143D79—42no—
1144D79—42no—
1145#3535—794no—
1146#3535—794no—
1147#3534—794no—
1148#3534—794no—
1149#3533—794no—
1150#3533—794no—
1151#3513—794no—
1152#3513—794no—
1153#3513—794no—
1154#3513—794no—
1155#3492—794no—
1156#3491—791no—
1157#3491—791no—
1158#3491—791no—
1159#3491—791no—
1160#3490—794no—
1161#3490—791no—
1162#3490—791no—
1163#3485—791no—
1164#3485—791no—
1165#3485—791no—
1166#3485D7911yescharacteristic, complemented
1167#3484—791no—
1168#3484—791no—
1169C2×#525—791no—
1170C2×#525—791no—
1171C22×#123—791no—
1172C79#6282011yescharacteristic, complemented, Sylow
1173C2×H(5,𝔽2)—791no—
1174C2×H(5,𝔽2)C2×D7911yescharacteristic, complemented
1175C22×#41—791no—
1176C22×#41C2×D7911yescharacteristic, complemented
1177C23×D4—791no—
1178C24×C4—791no—
1179#563—794no—
1180#563—794no—
1181#562—794no—
1182#562—794no—
1183#562—794no—
1184#562—794no—
1185#560—794no—
1186#560—794no—
1187#559—794no—
1188#559—794no—
1189#554—794no—
1190#554—794no—
1191#554—794no—
1192#554—794no—
1193#553—794no—
1194#553—794no—
1195#553—794no—
1196#553—794no—
1197#553—794no—
1198#553—794no—
1199#553—794no—
1200#553—794no—
1201#552—794no—
1202#552—794no—
1203#552—794no—
1204#552—794no—
1205#552—794no—
1206#552—794no—
1207#552—794no—
1208#552—794no—
1209#551—794no—
1210#551—794no—
1211#551—794no—
1212#551—794no—
1213#551—794no—
1214#551—794no—
1215#551—794no—
1216#551—794no—
1217#551—794no—
1218#551—794no—
1219#551—794no—
1220#551—794no—
1221#551—794no—
1222#551—794no—
1223#551—794no—
1224#551—794no—
1225#551—794no—
1226#551—794no—
1227#547—794no—
1228#547—794no—
1229#547—794no—
1230#547—794no—
1231#547—794no—
1232#547—794no—
1233#547C2×D7914yescomplemented
1234#547C2×D7914yescomplemented
1235#546—794no—
1236#546—794no—
1237#546—794no—
1238#546—794no—
1239#546—794no—
1240#546—794no—
1241#546—794no—
1242#546—794no—
1243#546—794no—
1244#546—794no—
1245#546—794no—
1246#546—794no—
1247#546—794no—
1248#546—794no—
1249#546—794no—
1250#546—794no—
1251#546—794no—
1252#546—794no—
1253#546C2×D7914yescomplemented
1254#546C2×D7914yescomplemented
1255D42—794no—
1256D42—794no—
1257D42—794no—
1258D42—794no—
1259#544—794no—
1260#543—794no—
1261#543—791no—
1262#543—791no—
1263#542—794no—
1264#542—794no—
1265#542—794no—
1266#542—794no—
1267#540—794no—
1268#540—794no—
1269#540—794no—
1270#540—794no—
1271#539—794no—
1272#539—794no—
1273#539—794no—
1274#539—794no—
1275#539—794no—
1276#539—794no—
1277#539—794no—
1278#539—794no—
1279#539—794no—
1280#539—794no—
1281#539—794no—
1282#539—794no—
1283#538—794no—
1284#538—794no—
1285#538—794no—
1286#538—794no—
1287#538—794no—
1288#538—794no—
1289#538—794no—
1290#538—794no—
1291#538—794no—
1292#538—794no—
1293#537—794no—
1294#536—792no—
1295#536—792no—
1296#536—792no—
1297#536C2×D7912yescomplemented
1298#535—792no—
1299#535—792no—
1300#534—791no—
1301#534—791no—
1302#534—791no—
1303#534—792no—
1304#534—791no—
1305#534—792no—
1306#534—792no—
1307#534—792no—
1308#534—792no—
1309#534—794no—
1310#534C2×D7911yescharacteristic
1311#534C2×D7911yescharacteristic, complemented
1312#534C2×D7912yescomplemented
1313#529—794no—
1314#529—794no—
1315#529—794no—
1316#529—794no—
1317#525—794no—
1318#525—794no—
1319#525—792no—
1320#525—792no—
1321#525—794no—
1322#525—794no—
1323#525—792no—
1324#525—794no—
1325#525—794no—
1326#525—792no—
1327#525—794no—
1328#525—794no—
1329#525—794no—
1330#525—792no—
1331#525—794no—
1332#525C2×D7912yescomplemented
1333C2×#123—791no—
1334C2×#123—791no—
1335C2×#123—791no—
1336C2×#123—792no—
1337C2×#123—791no—
1338C2×#123—791no—
1339C2×#123—792no—
1340C2×#123—794no—
1341C2×#123—794no—
1342C2×#123—794no—
1343C2×#123—794no—
1344C2×#123—792no—
1345C2×#123—792no—
1346C2×#123—791no—
1347C2×#123—792no—
1348C2×#123C2×D7911yescharacteristic, complemented
1349C2×#123C2×D7911yescharacteristic, complemented
1350C2×#123C2×D7912yescomplemented
1351C2×C22⋊Q8—792no—
1352C2×C22⋊Q8—792no—
1353C2×#121—792no—
1354C2×#121—792no—
1355C2×#120—791no—
1356C2×#120—791no—
1357C2×#120—791no—
1358C2×#120—792no—
1359C2×#120—792no—
1360C2×#120—791no—
1361#520—794no—
1362#520—794no—
1363#518—791no—
1364#518—791no—
1365#518—791no—
1366#518—794no—
1367#518—791no—
1368#518—791no—
1369#518—794no—
1370#518C2×D7911yescharacteristic, complemented
1371C2×C4×D4—792no—
1372C2×C4×D4—792no—
1373C2×C4×D4—792no—
1374C2×C4×D4—792no—
1375C2×#117—791no—
1376C2×#117—791no—
1377C22×C4⋊C4—792no—
1378C22×C22⋊C4—791no—
1379C22×C22⋊C4—792no—
1380C25—791no—
1381C25—791no—
1382H(5,𝔽2)—44no—
1383H(5,𝔽2)—3164no—
1384C2×#41—44no—
1385C2×#41—3164no—
1386C2×#41—794no—
1387C2×#41—794no—
1388C2×#41—792no—
1389C2×#41—792no—
1390C2×#41—794no—
1391C2×#41—794no—
1392C2×#41—792no—
1393C2×#41C22×D7914yes—
1394C2×#41C22×D7912yes—
1395C2×#41C22×D7912yes—
1396C2×#41C22×D7912yes—
1397C2×#41C22×D7914yescomplemented
1398C22×Q8—791no—
1399C22×Q8C22×D7911yescharacteristic, complemented
1400C22×D4—3164no—
1401C22×D4—792no—
1402C22×D4—792no—
1403C22×D4—792no—
1404C22×D4—794no—
1405C22×D4—791no—
1406C22×D4—791no—
1407C22×D4—792no—
1408C22×D4—794no—
1409C22×D4—792no—
1410C22×D4—794no—
1411C22×D4—794no—
1412C22×D4—792no—
1413C22×D4—791no—
1414C22×D4—791no—
1415C22×D4—792no—
1416C22×D4—791no—
1417C22×D4C22×D7911yescharacteristic
1418C22×D4C22×D7911yescharacteristic
1419C22×D4C22×D7911yescharacteristic
1420C22×D4C22×D7911yescharacteristic
1421C22×D4C22×D7912yes—
1422C22×D4C22×D7912yes—
1423C22×D4C22×D7912yes—
1424C22×D4C22×D7911yescharacteristic, complemented
1425C23×C4—3164no—
1426C23×C4—791no—
1427C23×C4—792no—
1428C23×C4—792no—
1429C23×C4—791no—
1430C23×C4—792no—
1431C23×C4—792no—
1432C23×C4—791no—
1433C23×C4—792no—
1434C23×C4—792no—
1435C23×C4—792no—
1436C23×C4—791no—
1437C23×C4C22×D7911yescharacteristic
1438C23×C4C22×D7911yescharacteristic, complemented
1439C23×C4C22×D7911yescharacteristic, complemented
1440C4⋊Q8—794no—
1441C4⋊Q8—794no—
1442C4⋊Q8—794no—
1443C4⋊Q8C22×D7914yescomplemented
1444#127—794no—
1445#127—794no—
1446#126—794no—
1447#126—794no—
1448#126—794no—
1449#126—794no—
1450#126—794no—
1451#126—794no—
1452#126—794no—
1453#126—794no—
1454#126—794no—
1455#126—794no—
1456#126—794no—
1457#126—794no—
1458#126—794no—
1459#126—794no—
1460#126—794no—
1461#126—794no—
1462#126—794no—
1463#126—794no—
1464#126—794no—
1465#126—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—794no—
1472#125—794no—
1473#125—794no—
1474#125—794no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#124—794no—
1479#124—794no—
1480#124—794no—
1481#124—794no—
1482#124—794no—
1483#124—794no—
1484#124—794no—
1485#124—794no—
1486#124—794no—
1487#124—794no—
1488#124—794no—
1489#124—794no—
1490#124—794no—
1491#124C22×D7914yescomplemented
1492#123—792no—
1493#123—792no—
1494#123—794no—
1495#123—792no—
1496#123—792no—
1497#123—792no—
1498#123—792no—
1499#123—794no—
1500#123—794no—
1501#123—792no—
1502#123—792no—
1503#123—794no—
1504#123—794no—
1505#123—792no—
1506#123—792no—
1507#123—794no—
1508#123—794no—
1509#123—794no—
1510#123—792no—
1511#123—792no—
1512#123—794no—
1513#123—792no—
1514#123—792no—
1515#123—794no—
1516#123—792no—
1517#123—792no—
1518#123—792no—
1519#123—794no—
1520#123—794no—
1521#123—792no—
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—794no—
1526#123—794no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—792no—
1535#123—792no—
1536#123—794no—
1537#123—794no—
1538#123—794no—
1539#123—794no—
1540#123—794no—
1541#123—794no—
1542#123—794no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123C22×D7912yes—
1554#123C22×D7912yes—
1555#123C22×D7914yes—
1556#123C22×D7914yes—
1557#123C22×D7912yes—
1558#123C22×D7912yes—
1559#123C22×D7912yescomplemented
1560#123C22×D7912yescomplemented
1561#123C22×D7912yescomplemented
1562#123C22×D7912yescomplemented
1563#123C22×D7914yescomplemented
1564#123C22×D7914yescomplemented
1565#123C22×D7914yescomplemented
1566C22⋊Q8—794no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—794no—
1570C22⋊Q8—794no—
1571C22⋊Q8—794no—
1572C22⋊Q8—794no—
1573C22⋊Q8—794no—
1574C22⋊Q8—794no—
1575C22⋊Q8—794no—
1576C22⋊Q8—794no—
1577C22⋊Q8—794no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—794no—
1581C22⋊Q8—794no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—794no—
1585C22⋊Q8—794no—
1586C22⋊Q8—794no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—794no—
1597C22⋊Q8—794no—
1598C22⋊Q8—794no—
1599C22⋊Q8—794no—
1600C22⋊Q8—794no—
1601C22⋊Q8C22×D7914yescomplemented
1602C22⋊Q8C22×D7914yescomplemented
1603C22⋊Q8C22×D7914yescomplemented
1604#121—794no—
1605#121—794no—
1606#121—794no—
1607#121—794no—
1608#121—794no—
1609#121—794no—
1610#121—794no—
1611#121—794no—
1612#121—794no—
1613#121—794no—
1614#121—794no—
1615#121—794no—
1616#121—794no—
1617#121—794no—
1618#121—794no—
1619#121—794no—
1620#121—794no—
1621#121—794no—
1622#121—794no—
1623#121—794no—
1624#121—794no—
1625#121—794no—
1626#121—794no—
1627#121—794no—
1628#121—794no—
1629#121—794no—
1630#121—794no—
1631#121—794no—
1632#121—794no—
1633#121—794no—
1634#121—794no—
1635#121—794no—
1636#121—794no—
1637#121—794no—
1638#121—794no—
1639#121—794no—
1640#121—794no—
1641#121C22×D7914yes—
1642#121C22×D7914yes—
1643#121C22×D7914yescomplemented
1644#121C22×D7914yescomplemented
1645#121C22×D7914yescomplemented
1646#120—792no—
1647#120—792no—
1648#120—792no—
1649#120—792no—
1650#120—794no—
1651#120—794no—
1652#120—792no—
1653#120—792no—
1654#120—792no—
1655#120—792no—
1656#120—792no—
1657#120—792no—
1658#120—794no—
1659#120—794no—
1660#120—794no—
1661#120—792no—
1662#120—792no—
1663#120—794no—
1664#120—794no—
1665#120—794no—
1666#120—792no—
1667#120—792no—
1668#120—794no—
1669#120—794no—
1670#120—792no—
1671#120—792no—
1672#120—794no—
1673#120—794no—
1674#120—794no—
1675#120C22×D7912yes—
1676#120C22×D7912yes—
1677#120C22×D7912yescomplemented
1678#120C22×D7912yescomplemented
1679#120C22×D7914yescomplemented
1680C4×Q8—794no—
1681C4×Q8—794no—
1682C4×Q8—794no—
1683C4×Q8—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×D4—794no—
1697C4×D4—794no—
1698C4×D4—794no—
1699C4×D4—794no—
1700C4×D4—794no—
1701C4×D4—794no—
1702C4×D4—794no—
1703C4×D4—794no—
1704C4×D4—794no—
1705C4×D4—794no—
1706C4×D4—794no—
1707C4×D4—794no—
1708C4×D4—794no—
1709C4×D4—794no—
1710C4×D4—794no—
1711C4×D4—794no—
1712C4×D4—794no—
1713C4×D4—794no—
1714C4×D4—794no—
1715C4×D4—794no—
1716C4×D4—794no—
1717C4×D4—794no—
1718C4×D4—794no—
1719C4×D4—794no—
1720C4×D4—794no—
1721C4×D4—794no—
1722C4×D4—794no—
1723C4×D4—794no—
1724C4×D4—794no—
1725C4×D4—794no—
1726C4×D4—794no—
1727C4×D4—794no—
1728C4×D4C22×D7914yes—
1729C4×D4C22×D7914yescomplemented
1730C4×D4C22×D7914yescomplemented
1731C4×D4C22×D7914yescomplemented
1732#117—794no—
1733#117—794no—
1734#117—792no—
1735#117—792no—
1736#117—792no—
1737#117—794no—
1738#117—794no—
1739#117—794no—
1740#117—794no—
1741#117—794no—
1742#117—794no—
1743#117—792no—
1744#117—792no—
1745#117—794no—
1746#117—794no—
1747#117—794no—
1748#117—794no—
1749#117—794no—
1750#117—794no—
1751#117C22×D7912yescomplemented
1752C2×C4⋊C4—792no—
1753C2×C4⋊C4—792no—
1754C2×C4⋊C4—792no—
1755C2×C4⋊C4—792no—
1756C2×C4⋊C4—792no—
1757C2×C4⋊C4—792no—
1758C2×C4⋊C4—792no—
1759C2×C4⋊C4—792no—
1760C2×C4⋊C4—794no—
1761C2×C4⋊C4—794no—
1762C2×C4⋊C4—794no—
1763C2×C4⋊C4—794no—
1764C2×C4⋊C4—794no—
1765C2×C4⋊C4—794no—
1766C2×C4⋊C4—794no—
1767C2×C4⋊C4C22×D7912yes—
1768C2×C4⋊C4C22×D7912yescomplemented
1769C2×C4⋊C4C22×D7914yescomplemented
1770C2×C22⋊C4—791no—
1771C2×C22⋊C4—792no—
1772C2×C22⋊C4—791no—
1773C2×C22⋊C4—791no—
1774C2×C22⋊C4—791no—
1775C2×C22⋊C4—792no—
1776C2×C22⋊C4—792no—
1777C2×C22⋊C4—792no—
1778C2×C22⋊C4—792no—
1779C2×C22⋊C4—792no—
1780C2×C22⋊C4—794no—
1781C2×C22⋊C4—792no—
1782C2×C22⋊C4—792no—
1783C2×C22⋊C4—792no—
1784C2×C22⋊C4—792no—
1785C2×C22⋊C4—792no—
1786C2×C22⋊C4—792no—
1787C2×C22⋊C4—792no—
1788C2×C22⋊C4—792no—
1789C2×C22⋊C4—794no—
1790C2×C22⋊C4—794no—
1791C2×C22⋊C4—794no—
1792C2×C22⋊C4—794no—
1793C2×C22⋊C4—794no—
1794C2×C22⋊C4—794no—
1795C2×C22⋊C4—794no—
1796C2×C22⋊C4—794no—
1797C2×C22⋊C4—792no—
1798C2×C22⋊C4—794no—
1799C2×C22⋊C4—792no—
1800C2×C22⋊C4—794no—
1801C2×C22⋊C4C22×D7911yescharacteristic
1802C2×C22⋊C4C22×D7912yes—
1803C2×C22⋊C4C22×D7911yescharacteristic
1804C2×C22⋊C4C22×D7912yescomplemented
1805C2×C22⋊C4C22×D7914yescomplemented
1806C2×C22⋊C4C22×D7912yescomplemented
1807C2×C42—792no—
1808C2×C42—792no—
1809C24—3162no—
1810C24—3164no—
1811C24—3164no—
1812C24—792no—
1813C24—794no—
1814C24—791no—
1815C24—791no—
1816C24—791no—
1817C24—792no—
1818C24—792no—
1819C24—791no—
1820C24—1584no—
1821C24C23×D7911yescharacteristic
1822C24C23×D7911yescharacteristic
1823C24C23×D7911yescharacteristic
1824C24C23×D7911yescharacteristic
1825C24C23×D7912yes—
1826C24C23×D7911yescharacteristic
1827#41—48no—
1828#41—48no—
1829#41—44no—
1830#41—44no—
1831#41—44no—
1832#41—3164no—
1833#41—3168no—
1834#41—3168no—
1835#41—3168no—
1836#41—3164no—
1837#41—3164no—
1838#41—3168no—
1839C2×Q8—42no—
1840C2×Q8—3162no—
1841C2×Q8—794no—
1842C2×Q8—794no—
1843C2×Q8—794no—
1844C2×Q8—792no—
1845C2×Q8C23×D7914yes—
1846C2×Q8C23×D7912yes—
1847C2×D4—24no—
1848C2×D4—24no—
1849C2×D4—24no—
1850C2×D4—24no—
1851C2×D4—42no—
1852C2×D4—44no—
1853C2×D4—44no—
1854C2×D4—44no—
1855C2×D4—3162no—
1856C2×D4—3164no—
1857C2×D4—3168no—
1858C2×D4—3168no—
1859C2×D4—3164no—
1860C2×D4—3164no—
1861C2×D4—3168no—
1862C2×D4—3164no—
1863C2×D4—3164no—
1864C2×D4—3164no—
1865C2×D4—3164no—
1866C2×D4—3168no—
1867C2×D4—3162no—
1868C2×D4—3162no—
1869C2×D4—794no—
1870C2×D4—794no—
1871C2×D4—794no—
1872C2×D4—794no—
1873C2×D4—794no—
1874C2×D4—794no—
1875C2×D4—794no—
1876C2×D4—794no—
1877C2×D4—792no—
1878C2×D4—794no—
1879C2×D4—792no—
1880C2×D4—794no—
1881C2×D4—794no—
1882C2×D4—794no—
1883C2×D4—792no—
1884C2×D4—792no—
1885C2×D4—792no—
1886C2×D4—792no—
1887C2×D4—794no—
1888C2×D4—792no—
1889C2×D4—794no—
1890C2×D4—794no—
1891C2×D4—1584no—
1892C2×D4—1584no—
1893C2×D4C23×D7912yes—
1894C2×D4C23×D7912yes—
1895C2×D4C23×D7912yes—
1896C2×D4C23×D7912yes—
1897C2×D4C23×D7912yes—
1898C2×D4C23×D7912yes—
1899C2×D4C23×D7912yes—
1900C2×D4C23×D7912yes—
1901C2×D4C23×D7914yes—
1902C2×D4C23×D7914yes—
1903C2×D4C23×D7912yes—
1904C2×D4C23×D7912yes—
1905C2×D4C23×D7914yes—
1906C2×D4C23×D7912yes—
1907C22×C4—24no—
1908C22×C4—42no—
1909C22×C4—42no—
1910C22×C4—3164no—
1911C22×C4—3164no—
1912C22×C4—3164no—
1913C22×C4—3164no—
1914C22×C4—3164no—
1915C22×C4—3164no—
1916C22×C4—3162no—
1917C22×C4—3162no—
1918C22×C4—3164no—
1919C22×C4—3162no—
1920C22×C4—792no—
1921C22×C4—792no—
1922C22×C4—792no—
1923C22×C4—792no—
1924C22×C4—794no—
1925C22×C4—794no—
1926C22×C4—794no—
1927C22×C4—794no—
1928C22×C4—792no—
1929C22×C4—794no—
1930C22×C4—792no—
1931C22×C4—792no—
1932C22×C4—792no—
1933C22×C4—792no—
1934C22×C4—794no—
1935C22×C4—794no—
1936C22×C4—792no—
1937C22×C4—794no—
1938C22×C4—794no—
1939C22×C4—792no—
1940C22×C4—792no—
1941C22×C4—792no—
1942C22×C4—792no—
1943C22×C4—792no—
1944C22×C4—791no—
1945C22×C4—792no—
1946C22×C4—792no—
1947C22×C4—791no—
1948C22×C4—791no—
1949C22×C4—791no—
1950C22×C4—794no—
1951C22×C4—1584no—
1952C22×C4C23×D7911yescharacteristic
1953C22×C4C23×D7911yescharacteristic
1954C22×C4C23×D7911yescharacteristic
1955C22×C4C23×D7911yescharacteristic
1956C22×C4C23×D7912yes—
1957C22×C4C23×D7912yes—
1958C22×C4C23×D7911yescharacteristic
1959C22×C4C23×D7911yescharacteristic
1960C22×C4C23×D7912yes—
1961C22×C4C23×D7912yes—
1962C22×C4C23×D7912yes—
1963C22×C4C23×D7914yes—
1964C22×C4C23×D7914yes—
1965C22×C4C23×D7914yes—
1966C22×C4C23×D7912yes—
1967C22×C4C23×D7912yes—
1968C4⋊C4—794no—
1969C4⋊C4—794no—
1970C4⋊C4—794no—
1971C4⋊C4—794no—
1972C4⋊C4—794no—
1973C4⋊C4—794no—
1974C4⋊C4—794no—
1975C4⋊C4—794no—
1976C4⋊C4—794no—
1977C4⋊C4—794no—
1978C4⋊C4—794no—
1979C4⋊C4—794no—
1980C4⋊C4—794no—
1981C4⋊C4—794no—
1982C4⋊C4—794no—
1983C4⋊C4—794no—
1984C4⋊C4—794no—
1985C4⋊C4—794no—
1986C4⋊C4—794no—
1987C4⋊C4—794no—
1988C4⋊C4—794no—
1989C4⋊C4—794no—
1990C4⋊C4—794no—
1991C4⋊C4—794no—
1992C4⋊C4—794no—
1993C4⋊C4—794no—
1994C4⋊C4—794no—
1995C4⋊C4—794no—
1996C4⋊C4—794no—
1997C4⋊C4—794no—
1998C4⋊C4—794no—
1999C4⋊C4C23×D7914yes—
2000C4⋊C4C23×D7914yes—
2001C4⋊C4C23×D7914yes—
2002C4⋊C4C23×D7914yes—
2003C4⋊C4C23×D7914yes—
2004C4⋊C4C23×D7914yes—
2005C4⋊C4C23×D7914yes—
2006C22⋊C4—792no—
2007C22⋊C4—792no—
2008C22⋊C4—794no—
2009C22⋊C4—794no—
2010C22⋊C4—792no—
2011C22⋊C4—792no—
2012C22⋊C4—792no—
2013C22⋊C4—792no—
2014C22⋊C4—792no—
2015C22⋊C4—792no—
2016C22⋊C4—794no—
2017C22⋊C4—794no—
2018C22⋊C4—794no—
2019C22⋊C4—794no—
2020C22⋊C4—794no—
2021C22⋊C4—794no—
2022C22⋊C4—794no—
2023C22⋊C4—794no—
2024C22⋊C4—794no—
2025C22⋊C4—794no—
2026C22⋊C4—794no—
2027C22⋊C4—794no—
2028C22⋊C4—794no—
2029C22⋊C4—794no—
2030C22⋊C4—794no—
2031C22⋊C4—794no—
2032C22⋊C4—794no—
2033C22⋊C4—794no—
2034C22⋊C4—794no—
2035C22⋊C4—794no—
2036C22⋊C4—794no—
2037C22⋊C4—794no—
2038C22⋊C4—794no—
2039C22⋊C4—794no—
2040C22⋊C4—794no—
2041C22⋊C4—794no—
2042C22⋊C4—794no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—794no—
2046C22⋊C4—794no—
2047C22⋊C4—794no—
2048C22⋊C4—794no—
2049C22⋊C4C23×D7912yes—
2050C22⋊C4C23×D7914yes—
2051C22⋊C4C23×D7912yes—
2052C22⋊C4C23×D7914yes—
2053C22⋊C4C23×D7912yes—
2054C22⋊C4C23×D7914yes—
2055C22⋊C4C23×D7914yes—
2056C22⋊C4C23×D7912yes—
2057C22⋊C4C23×D7914yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7914yes—
2060C22⋊C4C23×D7914yes—
2061C22⋊C4C23×D7914yes—
2062C42—794no—
2063C42—794no—
2064C42—794no—
2065C42—794no—
2066C42—794no—
2067C42—794no—
2068C42—794no—
2069C42—794no—
2070C42—794no—
2071C42C23×D7914yes—
2072C23—22no—
2073C23—22no—
2074C23—22no—
2075C23—22no—
2076C23—42no—
2077C23—42no—
2078C23—42no—
2079C23—42no—
2080C23—42no—
2081C23—42no—
2082C23—44no—
2083C23—3162no—
2084C23—3162no—
2085C23—3162no—
2086C23—3164no—
2087C23—3162no—
2088C23—3162no—
2089C23—3164no—
2090C23—3162no—
2091C23—3164no—
2092C23—31616no—
2093C23—792no—
2094C23—792no—
2095C23—792no—
2096C23—792no—
2097C23—6328no—
2098C23—1584no—
2099C23—1584no—
2100C23—1588no—
2101C23—1584no—
2102C23—1582no—
2103C23—1584no—
2104C23—1584no—
2105C23—1582no—
2106C23—1582no—
2107C23—1582no—
2108C23#1457920614yes—
2109C23C24×D7912yes—
2110C23C24×D7912yes—
2111C23C24×D7912yes—
2112C23C24×D7912yes—
2113C23C24×D7911yescharacteristic
2114C23C24×D7911yescharacteristic
2115C23C24×D7911yescharacteristic
2116Q8—44no—
2117Q8—42no—
2118Q8—3164no—
2119Q8—3162no—
2120Q8—3164no—
2121Q8—3164no—
2122D4—24no—
2123D4—24no—
2124D4—24no—
2125D4—24no—
2126D4—24no—
2127D4—24no—
2128D4—24no—
2129D4—24no—
2130D4—42no—
2131D4—42no—
2132D4—42no—
2133D4—44no—
2134D4—44no—
2135D4—44no—
2136D4—3164no—
2137D4—3162no—
2138D4—3164no—
2139D4—3164no—
2140D4—3162no—
2141D4—3162no—
2142D4—3164no—
2143D4—3164no—
2144D4—3164no—
2145D4—3164no—
2146D4—3164no—
2147D4—3164no—
2148D4—3164no—
2149D4—3164no—
2150D4—1588no—
2151D4—1588no—
2152D4—1588no—
2153D4—1588no—
2154D4—1584no—
2155D4—1584no—
2156D4—1584no—
2157D4—1584no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—24no—
2161C2×C4—24no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—42no—
2169C2×C4—42no—
2170C2×C4—42no—
2171C2×C4—42no—
2172C2×C4—42no—
2173C2×C4—44no—
2174C2×C4—3162no—
2175C2×C4—3162no—
2176C2×C4—3162no—
2177C2×C4—3162no—
2178C2×C4—3162no—
2179C2×C4—3162no—
2180C2×C4—3162no—
2181C2×C4—3162no—
2182C2×C4—3164no—
2183C2×C4—3164no—
2184C2×C4—3164no—
2185C2×C4—3162no—
2186C2×C4—3162no—
2187C2×C4—3164no—
2188C2×C4—3164no—
2189C2×C4—3164no—
2190C2×C4—3162no—
2191C2×C4—3162no—
2192C2×C4—3162no—
2193C2×C4—3162no—
2194C2×C4—3162no—
2195C2×C4—3164no—
2196C2×C4—3164no—
2197C2×C4—3164no—
2198C2×C4—794no—
2199C2×C4—794no—
2200C2×C4—794no—
2201C2×C4—792no—
2202C2×C4—794no—
2203C2×C4—792no—
2204C2×C4—792no—
2205C2×C4—792no—
2206C2×C4—1588no—
2207C2×C4—1582no—
2208C2×C4—1582no—
2209C2×C4—1584no—
2210C2×C4—1584no—
2211C2×C4—1582no—
2212C2×C4—1582no—
2213C2×C4C24×D7912yes—
2214C2×C4C24×D7914yes—
2215C2×C4C24×D7912yes—
2216C2×C4C24×D7912yes—
2217C2×C4C24×D7912yes—
2218C2×C4C24×D7914yes—
2219C2×C4C24×D7912yes—
2220C2×C4C24×D7912yes—
2221C22—22no—
2222C22—22no—
2223C22—22no—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—24no—
2229C22—24no—
2230C22—24no—
2231C22—24no—
2232C22—44no—
2233C22—82no—
2234C22—82no—
2235C22—82no—
2236C22—82no—
2237C22—162no—
2238C22—3164no—
2239C22—3168no—
2240C22—3168no—
2241C22—794no—
2242C22—6322no—
2243C22—6322no—
2244C22—6328no—
2245C22—1588no—
2246C22—1582no—
2247C22—1582no—
2248C22—1582no—
2249C22—1584no—
2250C22—1584no—
2251C22—1582no—
2252C22—1582no—
2253C22—1582no—
2254C22—1582no—
2255C22—12642no—
2256C22C2×#1457920612yes—
2257C22C2×#1457920612yes—
2258C22C2×#1457920612yes—
2259C22C25×D7911yescharacteristic
2260C4—22no—
2261C4—22no—
2262C4—22no—
2263C4—22no—
2264C4—22no—
2265C4—22no—
2266C4—24no—
2267C4—24no—
2268C4—1582no—
2269C4—1582no—
2270C4—1582no—
2271C4—1582no—
2272C4—1584no—
2273C4—1584no—
2274C4—1584no—
2275C4—1584no—
2276C2—22no—
2277C2—22no—
2278C2—22no—
2279C2—42no—
2280C2—42no—
2281C2—42no—
2282C2—42no—
2283C2—3162no—
2284C2—3162no—
2285C2—3162no—
2286C2—1584no—
2287C2C22×#1457920611yescharacteristic
2288C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3485C2
hypercenter#3485D79
hypocenterC79#62820
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3485

Complements

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

NH ≅ G/Ntype
1. #23777601C2semidirect
2. #23777599C2semidirect
3. #23777582C2semidirect
4. #23777580C2semidirect
5. #23777570C2semidirect
6. #23777559C2semidirect
7. #23777335C2semidirect
8. #23777333C2semidirect
9. #23777332C2semidirect
10. #23777326C2semidirect
11. #23777102C2semidirect
12. #23777097C2semidirect
13. #23777096C2semidirect
14. #23777096C2semidirect
15. #23777093C2semidirect
16. #23777088C2semidirect
17. #23777085C2semidirect
18. #23777082C2semidirect
19. #23777044C2semidirect
20. #23777041C2semidirect
21. #23777040C2semidirect
22. #23777032C2semidirect
23. #23777031C2semidirect
24. C2×#19099071C2semidirect
25. C2×#19099070C2semidirect
26. C2×#123×D79C2semidirect
27. C79×#3485C2semidirect
28. C2×#14579206C22semidirect
29. C22×#11929623C22semidirect
31. C23×C4×D79C22semidirect
32. #19099314C22semidirect
33. #19099312C22semidirect
34. #19099310C22semidirect
35. #19099309C22semidirect
36. #19099308C22semidirect
37. #19099307C22semidirect
38. #19099302C22semidirect
39. #19099301C22semidirect
40. #19099297C22semidirect
41. #19099296C22semidirect
42. #19099274C22semidirect
43. #19099268C22semidirect
44. #19099267C22semidirect
45. #19099267C22semidirect
46. #19099263C22semidirect
47. #19099262C22semidirect
48. #19099261C22semidirect
49. #19099260C22semidirect
50. #19099258C22semidirect
51. #19099258C22semidirect
52. #19099258C22semidirect
53. #19099256C22semidirect
54. #19099253C22semidirect
55. #19099250C22semidirect
56. #19099250C22semidirect
57. #19099250C22semidirect
58. #19099250C22semidirect
59. #19099248C22semidirect
60. #19099248C22semidirect
61. #19099246C22semidirect
62. #19099244C22semidirect
63. #19099244C22semidirect
64. #19099243C22semidirect
65. #19099242C22semidirect
66. #19099242C22semidirect
67. #19099242C22semidirect
68. #19099241C22semidirect
69. #19099240C22semidirect
70. #19099240C22semidirect
71. #19099239C22semidirect
72. #19099239C22semidirect
73. #19099239C22semidirect
74. #19099239C22semidirect
75. #19099237C22semidirect
76. #19099236C22semidirect
77. #19099236C22semidirect
78. #19099236C22semidirect
79. #19099236C22semidirect
80. #19099213C22semidirect
81. #19099212C22semidirect
82. #19099212C22semidirect
83. #19099212C22semidirect
84. #19099212C22semidirect
85. #19099211C22semidirect
86. #19099210C22semidirect
87. #19099209C22semidirect
88. #19099207C22semidirect
89. #19099207C22semidirect
90. #19099205C22semidirect
91. #19099203C22semidirect
92. #19099203C22semidirect
93. #19099202C22semidirect
94. #19099202C22semidirect
95. #19099202C22semidirect
96. #19099201C22semidirect
97. #19099201C22semidirect
98. #19099201C22semidirect
99. #19099201C22semidirect
100. #19099200C22semidirect
101. #19099200C22semidirect
102. #19099200C22semidirect
103. #19099200C22semidirect
104. #19099197C22semidirect
105. D4×C22⋊D79C22semidirect
106. D4×C22⋊D79C22semidirect
107. #19099195C22semidirect
108. #19099190C22semidirect
109. #19099189C22semidirect
110. #19099189C22semidirect
111. #19099188C22semidirect
112. #19099187C22semidirect
113. #19099183C22semidirect
114. #19099181C22semidirect
115. #19099177C22semidirect
116. #19099166C22semidirect
117. #19099165C22semidirect
118. #19099163C22semidirect
119. #19099163C22semidirect
120. #19099162C22semidirect
121. #19099160C22semidirect
122. #19099159C22semidirect
123. #19099159C22semidirect
124. #19099159C22semidirect
125. #19099158C22semidirect
126. #19099157C22semidirect
127. #19099157C22semidirect
128. #19099156C22semidirect
129. #19099156C22semidirect
130. #19099155C22semidirect
131. #19099155C22semidirect
132. #19099151C22semidirect
133. #19099150C22semidirect
134. #19099149C22semidirect
135. #19099149C22semidirect
136. #19099148C22semidirect
137. #19099147C22semidirect
138. #19099146C22semidirect
139. #19099146C22semidirect
140. #19099145C22semidirect
141. #19099145C22semidirect
142. #19099142C22semidirect
143. #19099137C22semidirect
144. #19099135C22semidirect
145. #19099134C22semidirect
146. #19099128C22semidirect
147. #19099127C22semidirect
148. #19099124C22semidirect
149. #19099123C22semidirect
150. #19099123C22semidirect
154. #19099122C22semidirect
155. #19099122C22semidirect
156. #19099122C22semidirect
157. #19099122C22semidirect
158. #19099094C22semidirect
159. #19099093C22semidirect
160. #19099090C22semidirect
161. #19099090C22semidirect
162. #19099074C22semidirect
163. #19099073C22semidirect
164. #19099072C22semidirect
165. #19099071C22semidirect
166. #19099071C22semidirect
167. #19099071C22semidirect
168. #19099071C22semidirect
169. #19099071C22semidirect
170. #19099070C22semidirect
171. #19099070C22semidirect
172. #19099070C22semidirect
173. #19099070C22semidirect
174. #19099070C22semidirect
175. #19099070C22semidirect
176. #19099069C22semidirect
177. C2×#14579146C22semidirect
178. C2×#14579145C22semidirect
179. C2×#14579144C22semidirect
180. C2×#14579144C22semidirect
181. C2×#14579144C22semidirect
182. C2×#14579143C22semidirect
183. C2×#14579142C22semidirect
184. C2×#14579142C22semidirect
185. C2×#14579142C22semidirect
186. C2×#14579142C22semidirect
187. #123×D79C22semidirect
188. #123×D79C22semidirect
189. #123×D79C22semidirect
190. #123×D79C22semidirect
191. #123×D79C22semidirect
192. C2×#14579139C22semidirect
193. C2×#14579137C22semidirect
194. C2×#14579134C22semidirect
195. C2×#14579132C22semidirect
196. C2×#14579131C22semidirect
197. C2×#14579129C22semidirect
198. C2×#14579129C22semidirect
199. C2×#14579129C22semidirect
200. C2×#14579129C22semidirect
201. #120×D79C22semidirect
202. #19099044C22semidirect
203. #19099042C22semidirect
204. #19099038C22semidirect
205. #19099038C22semidirect
206. #19099038C22semidirect
207. #19099036C22semidirect
208. #19099036C22semidirect
209. #19099036C22semidirect
210. #19099035C22semidirect
211. C2×#14579123C22semidirect
212. C2×C4×C22⋊D79C22semidirect
213. C2×C4×C22⋊D79C22semidirect
214. C2×(C22⋊D79)⋊C4C22semidirect
215. C2×#14579120C22semidirect
216. C2×#14579117C22semidirect
217. C2×C4⋊C4×D79C22semidirect
218. C2×C22⋊C4×D79C22semidirect
219. C2×C22⋊C4×D79C22semidirect
220. C2×H(5,𝔽2)×C79C22semidirect
221. C22×#41×C79C22semidirect
222. #547×C79C22semidirect
223. #547×C79C22semidirect
224. #546×C79C22semidirect
225. #546×C79C22semidirect
226. #536×C79C22semidirect
228. #534×C79C22semidirect
229. #534×C79C22semidirect
230. #525×C79C22semidirect
231. C2×#123×C79C22semidirect
232. C2×#123×C79C22semidirect
233. C2×#123×C79C22semidirect
234. #518×C79C22semidirect
245. C2×#11929623C23semidirect
246. C22×Dic158C23semidirect
257. C22×C22⋊D79C23semidirect
265. C23×Dic79C23semidirect
275. C22×C4×D79C23semidirect
276. #14579160C23semidirect
277. #14579159C23semidirect
278. #14579159C23semidirect
281. #14579156C23semidirect
282. #14579156C23semidirect
283. #14579156C23semidirect
284. #14579156C23semidirect
285. #14579156C23semidirect
286. #14579156C23semidirect
287. #14579156C23semidirect
288. #14579156C23semidirect
289. #14579155C23semidirect
290. #14579155C23semidirect
291. #14579154C23semidirect
292. #14579154C23semidirect
293. #14579154C23semidirect
294. #14579154C23semidirect
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. #14579151C23semidirect
312. #14579151C23semidirect
314. #14579150C23semidirect
315. #14579149C23semidirect
316. #14579148C23semidirect
317. #14579148C23semidirect
319. #14579147C23semidirect
320. #14579147C23semidirect
321. #14579147C23semidirect
322. #14579147C23semidirect
323. #14579147C23semidirect
324. #14579147C23semidirect
325. #14579147C23semidirect
332. #14579146C23semidirect
333. #14579146C23semidirect
337. #14579145C23semidirect
338. #14579145C23semidirect
339. #14579145C23semidirect
340. #14579145C23semidirect
349. #14579144C23semidirect
350. #14579144C23semidirect
351. #14579144C23semidirect
352. #14579144C23semidirect
353. #14579144C23semidirect
354. #14579144C23semidirect
355. #14579144C23semidirect
356. #14579144C23semidirect
364. #14579143C23semidirect
365. #14579143C23semidirect
366. #14579143C23semidirect
367. #14579143C23semidirect
368. #14579143C23semidirect
377. #14579142C23semidirect
378. #14579142C23semidirect
379. #14579142C23semidirect
380. #14579142C23semidirect
381. #14579142C23semidirect
382. #14579142C23semidirect
383. #14579142C23semidirect
384. #14579142C23semidirect
385. #14579142C23semidirect
386. #14579142C23semidirect
388. #14579141C23semidirect
389. #14579141C23semidirect
391. #14579140C23semidirect
392. #14579140C23semidirect
393. #14579140C23semidirect
394. #14579140C23semidirect
395. #14579140C23semidirect
400. #14579139C23semidirect
401. #14579139C23semidirect
402. #14579139C23semidirect
403. #14579139C23semidirect
405. #14579138C23semidirect
406. #14579138C23semidirect
407. #14579138C23semidirect
408. #14579138C23semidirect
409. #14579138C23semidirect
410. #14579138C23semidirect
411. #14579138C23semidirect
412. #14579138C23semidirect
413. #14579138C23semidirect
417. #14579137C23semidirect
418. #14579137C23semidirect
419. #14579137C23semidirect
420. #14579137C23semidirect
421. #14579137C23semidirect
425. #14579135C23semidirect
426. #14579135C23semidirect
433. #14579134C23semidirect
434. #14579134C23semidirect
435. #14579134C23semidirect
436. #14579134C23semidirect
444. #14579133C23semidirect
445. #14579133C23semidirect
446. #14579133C23semidirect
447. #14579133C23semidirect
448. #14579133C23semidirect
449. #14579133C23semidirect
450. #14579133C23semidirect
455. #14579132C23semidirect
456. #14579132C23semidirect
457. #14579132C23semidirect
458. #14579132C23semidirect
468. #14579130C23semidirect
469. #14579130C23semidirect
485. #14579129C23semidirect
486. #14579129C23semidirect
487. #14579129C23semidirect
488. C4×Dic158C23semidirect
489. #14579126C23semidirect
490. #14579126C23semidirect
491. #14579126C23semidirect
497. D4×Dic79C23semidirect
498. D4×Dic79C23semidirect
499. D4×Dic79C23semidirect
500. D4×Dic79C23semidirect
504. #14579123C23semidirect
505. #14579123C23semidirect
515. C4×C22⋊D79C23semidirect
516. C4×C22⋊D79C23semidirect
517. C4×C22⋊D79C23semidirect
518. C4×C22⋊D79C23semidirect
519. C4×C22⋊D79C23semidirect
520. C4×C22⋊D79C23semidirect
521. C4×C22⋊D79C23semidirect
522. C4×C22⋊D79C23semidirect
523. C4×C22⋊D79C23semidirect
530. (C22⋊D79)⋊C4C23semidirect
531. (C22⋊D79)⋊C4C23semidirect
532. (C22⋊D79)⋊C4C23semidirect
533. (C22⋊D79)⋊C4C23semidirect
534. (C22⋊D79)⋊C4C23semidirect
535. (C22⋊D79)⋊C4C23semidirect
538. #14579120C23semidirect
539. #14579120C23semidirect
540. #14579120C23semidirect
541. #14579120C23semidirect
543. #14579119C23semidirect
544. #14579119C23semidirect
546. #14579118C23semidirect
549. #14579117C23semidirect
550. #14579117C23semidirect
551. #14579117C23semidirect
552. #14579117C23semidirect
553. #14579117C23semidirect
554. #14579117C23semidirect
556. C2×C4⋊Dic79C23semidirect
559. C2×Dic79⋊C4C23semidirect
560. C2×Dic79⋊C4C23semidirect
561. C2×Dic79⋊C4C23semidirect
562. C2×Dic79⋊C4C23semidirect
563. C2×Dic79⋊C4C23semidirect
564. C2×Dic79⋊C4C23semidirect
569. C4⋊C4×D79C23semidirect
576. C2×C22⋊Dic79C23semidirect
577. C2×C22⋊Dic79C23semidirect
578. C2×C22⋊Dic79C23semidirect
579. C2×C22⋊Dic79C23semidirect
580. C2×C22⋊Dic79C23semidirect
589. C2×(C2×D79)⋊C4C23semidirect
590. C2×(C2×D79)⋊C4C23semidirect
599. C22⋊C4×D79C23semidirect
600. C22⋊C4×D79C23semidirect
601. C2×C4×Dic79C23semidirect
602. C2×C4×Dic79C23semidirect
609. C2×#41×C79C23semidirect
610. C22×Q8×C79C23semidirect
618. C22×D4×C79C23semidirect
620. C23×C4×C79C23semidirect
621. C23×C4×C79C23semidirect
622. C4⋊Q8×C79C23semidirect
623. #124×C79C23semidirect
630. #123×C79C23semidirect
631. #123×C79C23semidirect
632. #123×C79C23semidirect
633. #123×C79C23semidirect
634. #123×C79C23semidirect
635. #123×C79C23semidirect
636. #123×C79C23semidirect
637. C22⋊Q8×C79C23semidirect
638. C22⋊Q8×C79C23semidirect
639. C22⋊Q8×C79C23semidirect
642. #121×C79C23semidirect
643. #121×C79C23semidirect
644. #121×C79C23semidirect
647. #120×C79C23semidirect
648. #120×C79C23semidirect
649. #120×C79C23semidirect
651. C4×D4×C79C23semidirect
652. C4×D4×C79C23semidirect
653. C4×D4×C79C23semidirect
654. #117×C79C23semidirect
656. C2×C4⋊C4×C79C23semidirect
657. C2×C4⋊C4×C79C23semidirect
661. C2×C22⋊C4×C79C23semidirect
662. C2×C22⋊C4×C79C23semidirect
663. C2×C22⋊C4×C79C23semidirect
1166. #3485D79semidirect
1172. C79#62820semidirect
1174. C2×H(5,𝔽2)C2×D79semidirect
1176. C22×#41C2×D79semidirect
1233. #547C2×D79semidirect
1234. #547C2×D79semidirect
1253. #546C2×D79semidirect
1254. #546C2×D79semidirect
1297. #536C2×D79semidirect
1311. #534C2×D79semidirect
1312. #534C2×D79semidirect
1332. #525C2×D79semidirect
1348. C2×#123C2×D79semidirect
1349. C2×#123C2×D79semidirect
1350. C2×#123C2×D79semidirect
1370. #518C2×D79semidirect
1397. C2×#41C22×D79semidirect
1399. C22×Q8C22×D79semidirect
1424. C22×D4C22×D79semidirect
1438. C23×C4C22×D79semidirect
1439. C23×C4C22×D79semidirect
1443. C4⋊Q8C22×D79semidirect
1491. #124C22×D79semidirect
1559. #123C22×D79semidirect
1560. #123C22×D79semidirect
1561. #123C22×D79semidirect
1562. #123C22×D79semidirect
1563. #123C22×D79semidirect
1564. #123C22×D79semidirect
1565. #123C22×D79semidirect
1601. C22⋊Q8C22×D79semidirect
1602. C22⋊Q8C22×D79semidirect
1603. C22⋊Q8C22×D79semidirect
1643. #121C22×D79semidirect
1644. #121C22×D79semidirect
1645. #121C22×D79semidirect
1677. #120C22×D79semidirect
1678. #120C22×D79semidirect
1679. #120C22×D79semidirect
1729. C4×D4C22×D79semidirect
1730. C4×D4C22×D79semidirect
1731. C4×D4C22×D79semidirect
1751. #117C22×D79semidirect
1768. C2×C4⋊C4C22×D79semidirect
1769. C2×C4⋊C4C22×D79semidirect
1804. C2×C22⋊C4C22×D79semidirect
1805. C2×C22⋊C4C22×D79semidirect
1806. C2×C22⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776012
#237775992
#237775822
#237775802
#237775702
#237775592
#237773352
#237773332
#237773322
#237773262
#237771022
#237770972
#237770962
#237770932
#237770882
#237770852
#237770822
#237770442
#237770412
#237770402
#237770322
#237770312
C2×#190990712
C2×#190990702
C2×#123×D792
C79×#34852
#6282079