Finite Group Databasebeta

← #35196896

Subgroups — #35196896

Order 20224.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777709C214yesmaximal, complemented
2#23777701C214yesmaximal, complemented
3#23777637C212yesmaximal, complemented
4#23777632C212yesmaximal, complemented
5#23777626C212yesmaximal, complemented
6#23777621C212yesmaximal, complemented
7#23777593C214yesmaximal, complemented
8#23777582C214yesmaximal, complemented
9#23777424C214yesmaximal, complemented
10#23777422C214yesmaximal, complemented
11#23777231C214yesmaximal, complemented
12#23777160C214yesmaximal, complemented
13#23777126C214yesmaximal, complemented
14#23777101C212yesmaximal, complemented
15#23777089C211yesmaximal, characteristic, complemented
16#23777083C212yesmaximal, complemented
17#23777063C214yesmaximal, complemented
18#23777033C212yesmaximal, complemented
19#23777029C212yesmaximal, complemented
20#23777029C212yesmaximal, complemented
21#525×D79C212yesmaximal, complemented
22C22×#14579134C211yesmaximal, characteristic, complemented
23C79×#3490C211yesmaximal, characteristic, complemented
24C2×#14579207C2212yescomplemented
25C2×#14579206C2212yescomplemented
26C2×#14579206C2212yescomplemented
27C2×#41×D79C2212yescomplemented
28C23×D316C2211yescharacteristic, complemented
29C23×C22⋊D79C2211yescharacteristic, complemented
30C23×C22⋊D79C2211yescharacteristic, complemented
31C23×C4×D79C2211yescharacteristic, complemented
32#19099310C2214yescomplemented
33#19099309C2214yescomplemented
34#19099309C2214yescomplemented
35#19099307C2214yescomplemented
36#19099304C2214yescomplemented
37#19099303C2214yescomplemented
38#19099302C2214yescomplemented
39#19099301C2214yescomplemented
40#19099276C2214yescomplemented
41#19099275C2214yescomplemented
42#19099272C2214yescomplemented
43#19099267C2214yescomplemented
44#19099264C2214yescomplemented
45#19099264C2214yescomplemented
46#19099264C2214yescomplemented
47#19099263C2214yescomplemented
48#19099262C2214yescomplemented
49#19099262C2214yescomplemented
50#19099258C2214yescomplemented
51#19099258C2214yescomplemented
52#19099257C2214yescomplemented
53#19099256C2214yescomplemented
54#19099250C2214yescomplemented
55#19099246C2214yescomplemented
56#19099242C2214yescomplemented
57#19099240C2214yescomplemented
58#19099239C2214yescomplemented
59#19099239C2214yescomplemented
60#19099237C2214yescomplemented
61#19099236C2214yescomplemented
62#19099234C2214yescomplemented
63#19099231C2214yescomplemented
64#19099223C2214yescomplemented
65#19099221C2214yescomplemented
66#19099215C2214yescomplemented
67#19099212C2214yescomplemented
68#19099211C2214yescomplemented
69#19099211C2214yescomplemented
70#19099209C2214yescomplemented
71#19099209C2214yescomplemented
72#19099209C2214yescomplemented
73#19099208C2214yescomplemented
74#19099206C2214yescomplemented
75#19099205C2214yescomplemented
76#19099205C2214yescomplemented
77#19099204C2214yescomplemented
78#19099204C2214yescomplemented
79#19099203C2214yescomplemented
80#19099203C2214yescomplemented
81#19099203C2214yescomplemented
82#19099203C2214yescomplemented
83#19099203C2214yescomplemented
84#19099203C2214yescomplemented
85#19099203C2214yescomplemented
86#19099203C2214yescomplemented
87#19099202C2214yescomplemented
88#19099202C2214yescomplemented
89#19099201C2214yescomplemented
90#19099200C2214yescomplemented
91#19099200C2214yescomplemented
92#19099200C2214yescomplemented
93#19099200C2214yescomplemented
94D4×D316C2214yescomplemented
95D4×D316C2214yescomplemented
96#19099197C2214yescomplemented
97#19099197C2214yescomplemented
98#19099197C2214yescomplemented
99D4×C22⋊D79C2214yescomplemented
100D4×C22⋊D79C2214yescomplemented
101D4×C22⋊D79C2214yescomplemented
102D4×C22⋊D79C2214yescomplemented
103#19099195C2214yescomplemented
104#19099195C2214yescomplemented
105#19099195C2214yescomplemented
106#19099195C2214yescomplemented
107#19099195C2214yescomplemented
108#19099192C2212yescomplemented
109#19099189C2211yescharacteristic, complemented
110#19099188C2212yescomplemented
111#19099183C2214yescomplemented
112#19099179C2214yescomplemented
113#19099168C2214yescomplemented
114#19099165C2214yescomplemented
115#19099165C2214yescomplemented
116#19099165C2214yescomplemented
117#19099164C2214yescomplemented
118#19099163C2214yescomplemented
119#19099162C2212yescomplemented
120#19099159C2214yescomplemented
121#19099158C2212yescomplemented
122#19099155C2214yescomplemented
123#19099154C2214yescomplemented
124#19099153C2212yescomplemented
125#19099152C2214yescomplemented
126#19099151C2212yescomplemented
127#19099151C2212yescomplemented
128#19099151C2214yescomplemented
129#19099150C2212yescomplemented
130#19099149C2214yescomplemented
131#19099147C2214yescomplemented
132#19099147C2214yescomplemented
133#19099146C2214yescomplemented
134#19099146C2214yescomplemented
135#19099143C2214yescomplemented
136#19099143C2214yescomplemented
137#19099142C2214yescomplemented
138#19099140C2212yescomplemented
139#19099140C2214yescomplemented
140#19099132C2212yescomplemented
141#19099131C2214yescomplemented
142#19099128C2214yescomplemented
143#19099128C2214yescomplemented
144#19099128C2214yescomplemented
145#19099127C2212yescomplemented
146#19099125C2212yescomplemented
147#19099125C2212yescomplemented
148#19099125C2211yescharacteristic, complemented
149#19099124C2214yescomplemented
150#19099124C2214yescomplemented
151#19099124C2214yescomplemented
152#19099123C2214yescomplemented
153#19099123C2214yescomplemented
154#19099123C2214yescomplemented
155#19099122C2212yescomplemented
156#19099122C2212yescomplemented
157#19099121C2212yescomplemented
158#19099112C2214yescomplemented
159#19099110C2214yescomplemented
160#19099096C2214yescomplemented
161#19099091C2214yescomplemented
162#19099076C2212yescomplemented
163#19099076C2212yescomplemented
164#19099075C2212yescomplemented
165#19099074C2212yescomplemented
166#19099074C2212yescomplemented
167#19099073C2212yescomplemented
168#19099073C2212yescomplemented
169#19099072C2214yescomplemented
170#19099072C2214yescomplemented
171#19099072C2214yescomplemented
172#19099071C2214yescomplemented
173#19099071C2214yescomplemented
174#19099070C2212yescomplemented
175#19099069C2214yescomplemented
176#19099069C2214yescomplemented
177#123×D79C2214yescomplemented
178C22⋊Q8×D79C2212yescomplemented
179C22⋊Q8×D79C2212yescomplemented
180C2×#14579134C2214yescomplemented
181C2×#14579134C2214yescomplemented
182C2×#14579134C2212yescomplemented
183C2×#14579134C2212yescomplemented
184C2×#14579134C2214yescomplemented
185C2×#14579134C2212yescomplemented
186C2×#14579134C2212yescomplemented
187C2×#14579134C2214yescomplemented
188C2×#14579134C2214yescomplemented
189#121×D79C2212yescomplemented
190#121×D79C2212yescomplemented
191#121×D79C2214yescomplemented
192C2×#14579130C2212yescomplemented
193#120×D79C2214yescomplemented
194#120×D79C2214yescomplemented
195#19099042C2214yescomplemented
196#19099037C2212yescomplemented
197#19099036C2212yescomplemented
198#19099036C2212yescomplemented
199#19099036C2212yescomplemented
200#19099035C2214yescomplemented
201C4×D4×D79C2214yescomplemented
202C4×D4×D79C2214yescomplemented
203#117×D79C2212yescomplemented
204C22×Dic79⋊C4C2211yescharacteristic, complemented
205C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
206#551×C79C2214yescomplemented
207#551×C79C2214yescomplemented
208#546×C79C2214yescomplemented
209#546×C79C2214yescomplemented
210#543×C79C2211yescharacteristic, complemented
211#538×C79C2212yescomplemented
212#538×C79C2212yescomplemented
213#534×C79C2211yescharacteristic, complemented
214#525×C79C2212yescomplemented
215#525×C79C2212yescomplemented
216C2×#120×C79C2212yescomplemented
217#518×C79C2212yescomplemented
218C22×C22⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220C24×D79C2311yescharacteristic
221#14579207—48no—
222#14579206—48no—
223#14579206—48no—
224C2×#11929625C2314yescomplemented
225C2×#11929625C2312yescomplemented
226C2×#11929624C2312yes—
227C2×#11929624C2312yes—
228C2×#11929624C2314yescomplemented
229C2×#11929624C2314yescomplemented
230C2×#11929624C2314yescomplemented
231C2×#11929624C2314yescomplemented
232C2×#11929623C2314yes—
233C2×#11929623C2314yes—
234C2×#11929623C2314yescomplemented
235C2×#11929623C2314yescomplemented
236C2×#11929623C2312yescomplemented
237#41×D79—48no—
238C2×Q8×D79C2312yescomplemented
239C22×D316—44no—
240C22×D316C2312yes—
241C22×D316C2312yes—
242C22×D316C2314yes—
243C22×D316C2312yes—
244C22×D316C2312yes—
245C22×D316C2314yescomplemented
246C22×C22⋊D79—44no—
247C22×C22⋊D79—44no—
248C22×C22⋊D79C2312yes—
249C22×C22⋊D79C2312yes—
250C22×C22⋊D79C2312yes—
251C22×C22⋊D79C2312yes—
252C22×C22⋊D79C2312yes—
253C22×C22⋊D79C2312yes—
254C22×C22⋊D79C2312yes—
255C22×C22⋊D79C2314yes—
256C22×C22⋊D79C2314yes—
257C22×C22⋊D79C2312yes—
258C22×C22⋊D79C2312yes—
259C22×C22⋊D79C2312yes—
260C22×C22⋊D79C2312yes—
261C22×C22⋊D79C2314yescomplemented
262C22×C22⋊D79C2314yescomplemented
263C2×D4×D79C2314yes—
264C2×D4×D79C2314yes—
265C2×D4×D79C2314yes—
266C2×D4×D79C2314yes—
267C2×D4×D79C2314yes—
268C2×D4×D79C2314yes—
269C2×D4×D79C2314yescomplemented
270C2×D4×D79C2314yescomplemented
271C2×D4×D79C2314yescomplemented
272C2×D4×D79C2312yescomplemented
273C23×Dic79C2311yescharacteristic
274C23×Dic79C2311yescharacteristic
275C22×C4×D79—44no—
276C22×C4×D79C2312yes—
277C22×C4×D79C2312yes—
278C22×C4×D79C2312yes—
279C22×C4×D79C2312yes—
280C22×C4×D79C2312yes—
281C22×C4×D79C2312yes—
282C22×C4×D79C2314yescomplemented
283#14579160C2314yescomplemented
284#14579159C2314yescomplemented
285#14579158C2314yescomplemented
286#14579157C2314yescomplemented
287#14579157C2314yescomplemented
288#14579157C2314yescomplemented
289#14579157C2314yescomplemented
290#14579157C2314yescomplemented
291#14579156C2314yescomplemented
292#14579156C2314yescomplemented
293#14579156C2314yescomplemented
294#14579156C2314yescomplemented
295#14579155C2314yescomplemented
296#14579155C2314yescomplemented
297#14579154C2314yescomplemented
298#14579154C2314yescomplemented
299#14579154C2314yescomplemented
300#14579154C2314yescomplemented
301#14579153C2314yescomplemented
302#14579152C2314yescomplemented
303#14579151C2314yescomplemented
304#14579151C2314yescomplemented
305#14579151C2314yescomplemented
306#14579151C2314yescomplemented
307#14579150C2314yescomplemented
308#14579150C2314yescomplemented
309#14579149C2314yescomplemented
310#14579149C2314yescomplemented
311#14579147C2314yescomplemented
312#14579147C2314yescomplemented
313#14579147C2314yescomplemented
314#14579147C2314yescomplemented
315#14579147C2314yescomplemented
316#14579147C2314yescomplemented
317#14579147C2314yescomplemented
318#14579147C2314yescomplemented
319#14579146C2314yescomplemented
320#14579146C2314yescomplemented
321#14579146C2314yescomplemented
322#14579146C2314yescomplemented
323#14579146C2314yescomplemented
324#14579146C2314yescomplemented
325#14579146C2314yescomplemented
326#14579146C2314yescomplemented
327#14579146C2314yescomplemented
328#14579146C2314yescomplemented
329#14579145C2314yes—
330#14579145C2314yes—
331#14579145C2314yescomplemented
332#14579145C2314yescomplemented
333#14579145C2314yescomplemented
334#14579145C2314yescomplemented
335#14579144C2314yes—
336#14579144C2314yes—
337#14579144C2314yescomplemented
338#14579144C2314yescomplemented
339#14579144C2314yescomplemented
340#14579144C2314yescomplemented
341#14579143C2314yescomplemented
342#14579143C2314yescomplemented
343#14579143C2314yescomplemented
344#14579143C2314yescomplemented
345#14579143C2314yescomplemented
346#14579143C2314yescomplemented
347#14579143C2314yescomplemented
348#14579143C2314yescomplemented
349#14579143C2314yescomplemented
350#14579143C2314yescomplemented
351#14579142C2314yes—
352#14579142C2314yes—
353#14579142C2314yescomplemented
354#14579141C2314yescomplemented
355#14579141C2312yescomplemented
356#14579141C2312yescomplemented
357#14579140C2312yes—
358#14579140C2312yes—
359#14579140C2312yes—
360#14579140C2312yes—
361#14579140C2314yescomplemented
362#14579139C2314yescomplemented
363#14579139C2314yescomplemented
364#14579139C2314yescomplemented
365#14579139C2314yescomplemented
366#14579139C2314yescomplemented
367#14579139C2314yescomplemented
368#14579138C2314yes—
369#14579138C2314yes—
370#14579138C2314yes—
371#14579138C2314yes—
372#14579138C2314yescomplemented
373#14579138C2314yescomplemented
374#14579138C2314yescomplemented
375#14579138C2314yescomplemented
376#14579137C2314yescomplemented
377#14579137C2314yescomplemented
378#14579137C2312yescomplemented
379#14579137C2312yescomplemented
380#14579136C2314yescomplemented
381#14579136C2312yescomplemented
382#14579136C2314yescomplemented
383#14579136C2314yescomplemented
384#14579136C2314yescomplemented
385#14579136C2314yescomplemented
386#14579136C2314yescomplemented
387#14579136C2314yescomplemented
388#14579136C2312yescomplemented
389#14579135C2312yes—
390#14579135C2312yes—
391#14579135C2312yes—
392#14579135C2312yes—
393#14579135C2314yescomplemented
394#14579135C2314yescomplemented
395#14579135C2314yescomplemented
396#14579135C2314yescomplemented
397#14579135C2314yescomplemented
398#14579135C2314yescomplemented
399#14579135C2314yescomplemented
400#14579134C2314yes—
401#14579134C2314yes—
402#14579134C2314yes—
403#14579134C2314yes—
404#14579134C2314yes—
405#14579134C2314yes—
406#14579134C2314yes—
407#14579134C2314yes—
408#14579134C2314yes—
409#14579134C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yes—
416#14579134C2314yescomplemented
417#14579134C2314yescomplemented
418#14579134C2314yescomplemented
419#14579134C2314yescomplemented
420#14579134C2314yescomplemented
421#14579134C2314yescomplemented
422#14579134C2314yescomplemented
423#14579134C2314yescomplemented
424#14579134C2314yescomplemented
425#14579134C2314yescomplemented
426#14579134C2314yescomplemented
427#14579134C2314yescomplemented
428#14579134C2314yescomplemented
429#14579134C2314yescomplemented
430#14579134C2314yescomplemented
431#14579134C2314yescomplemented
432#14579134C2314yescomplemented
433#14579134C2314yescomplemented
434#14579133C2314yes—
435#14579133C2314yes—
436#14579133C2314yes—
437#14579133C2314yes—
438#14579133C2314yescomplemented
439#14579133C2314yescomplemented
440#14579133C2314yescomplemented
441#14579133C2314yescomplemented
442#14579133C2314yescomplemented
443#14579133C2314yescomplemented
444#14579133C2314yescomplemented
445#14579133C2314yescomplemented
446#14579133C2314yescomplemented
447#14579133C2314yescomplemented
448#14579132C2312yescomplemented
449#14579132C2314yescomplemented
450#14579132C2314yescomplemented
451#14579132C2314yescomplemented
452#14579132C2314yescomplemented
453#14579132C2312yescomplemented
454#14579131C2314yes—
455#14579131C2314yes—
456#14579131C2314yes—
457#14579131C2314yes—
458#14579131C2314yes—
459#14579131C2314yes—
460#14579131C2314yescomplemented
461#14579131C2314yescomplemented
462#14579131C2314yescomplemented
463#14579131C2314yescomplemented
464#14579131C2314yescomplemented
465#14579131C2314yescomplemented
466#14579131C2314yescomplemented
467#14579131C2314yescomplemented
468#14579130C2314yes—
469#14579130C2314yes—
470#14579130C2314yes—
471#14579130C2314yes—
472#14579130C2314yescomplemented
473#14579130C2314yescomplemented
474#14579129C2314yes—
475#14579129C2314yes—
476#14579129C2314yes—
477#14579129C2314yes—
478#14579129C2314yes—
479#14579129C2314yes—
480#14579129C2314yescomplemented
481#14579129C2314yescomplemented
482#14579129C2314yescomplemented
483#14579129C2314yescomplemented
484#14579129C2314yescomplemented
485C4×Dic158C2314yescomplemented
486#14579126C2314yescomplemented
487C4×D316C2314yescomplemented
488C4×D316C2314yescomplemented
489C4×D316C2314yescomplemented
490C4×D316C2314yescomplemented
491C4×D316C2314yescomplemented
492D4×Dic79C2314yes—
493D4×Dic79C2314yes—
494D4×Dic79C2314yes—
495D4×Dic79C2314yes—
496#14579123C2314yescomplemented
497#14579123C2314yescomplemented
498#14579123C2314yescomplemented
499#14579123C2314yescomplemented
500#14579123C2314yescomplemented
501C4×C22⋊D79C2314yes—
502C4×C22⋊D79C2314yes—
503C4×C22⋊D79C2314yes—
504C4×C22⋊D79C2314yes—
505C4×C22⋊D79C2314yescomplemented
506C4×C22⋊D79C2314yescomplemented
507C4×C22⋊D79C2314yescomplemented
508C4×C22⋊D79C2314yescomplemented
509C4×C22⋊D79C2314yescomplemented
510C4×C22⋊D79C2314yescomplemented
511C4×C22⋊D79C2314yescomplemented
512C4×C22⋊D79C2314yescomplemented
513(C22⋊D79)⋊C4C2314yes—
514(C22⋊D79)⋊C4C2314yes—
515(C22⋊D79)⋊C4C2314yes—
516(C22⋊D79)⋊C4C2314yes—
517(C22⋊D79)⋊C4C2314yescomplemented
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#14579120C2312yes—
528#14579120C2312yes—
529#14579119C2312yescomplemented
530#14579119C2312yescomplemented
531#14579119C2314yescomplemented
532#14579118C2314yescomplemented
533#14579118C2314yescomplemented
534#14579118C2314yescomplemented
535#14579117C2314yes—
536#14579117C2314yes—
537#14579117C2314yescomplemented
538#14579117C2314yescomplemented
539C2×Dic79⋊C4C2312yes—
540C2×Dic79⋊C4C2312yes—
541C2×Dic79⋊C4C2314yes—
542C2×Dic79⋊C4C2312yes—
543C2×Dic79⋊C4C2312yes—
544C2×Dic79⋊C4C2314yescomplemented
545C4⋊C4×D79C2314yescomplemented
546C4⋊C4×D79C2314yescomplemented
547C4⋊C4×D79C2312yescomplemented
548C4⋊C4×D79C2314yescomplemented
549C4⋊C4×D79C2312yescomplemented
550C2×C22⋊Dic79C2312yes—
551C2×C22⋊Dic79C2312yes—
552C2×C22⋊Dic79C2312yes—
553C2×(C2×D79)⋊C4C2312yes—
554C2×(C2×D79)⋊C4C2312yes—
555C2×(C2×D79)⋊C4C2314yes—
556C2×(C2×D79)⋊C4C2314yes—
557C2×(C2×D79)⋊C4C2314yescomplemented
558C22⋊C4×D79C2314yes—
559C22⋊C4×D79C2314yes—
560C22⋊C4×D79C2314yes—
561C22⋊C4×D79C2314yes—
562C22⋊C4×D79C2314yes—
563C22⋊C4×D79C2314yes—
564C22⋊C4×D79C2314yescomplemented
565C22⋊C4×D79C2314yescomplemented
566C22⋊C4×D79C2314yescomplemented
567C22⋊C4×D79C2314yescomplemented
568C42×D79C2314yescomplemented
569C25×C79C2311yescharacteristic
570C2×#41×C79C2312yes—
571C2×#41×C79C2312yes—
572C22×D4×C79C2312yes—
573C22×D4×C79C2312yes—
574C22×D4×C79C2312yes—
575C23×C4×C79C2311yescharacteristic
576C23×C4×C79C2311yescharacteristic
577#126×C79C2314yescomplemented
578#126×C79C2314yescomplemented
579#124×C79C2314yescomplemented
580#124×C79C2314yescomplemented
581#123×C79C2314yes—
582#123×C79C2314yes—
583#123×C79C2314yescomplemented
584#123×C79C2314yescomplemented
585#123×C79C2314yescomplemented
586C22⋊Q8×C79C2312yes—
587C22⋊Q8×C79C2312yes—
588C22⋊Q8×C79C2312yes—
589C22⋊Q8×C79C2312yes—
590C22⋊Q8×C79C2314yescomplemented
591C22⋊Q8×C79C2314yescomplemented
592#121×C79C2312yes—
593#121×C79C2312yes—
594#121×C79C2312yes—
595#121×C79C2312yes—
596#121×C79C2314yescomplemented
597#121×C79C2314yescomplemented
598#120×C79C2314yes—
599#120×C79C2314yes—
600#120×C79C2314yes—
601#120×C79C2314yes—
602#120×C79C2314yescomplemented
603C4×D4×C79C2314yes—
604C4×D4×C79C2314yes—
605C4×D4×C79C2314yes—
606C4×D4×C79C2314yes—
607C4×D4×C79C2314yescomplemented
608C4×D4×C79C2314yescomplemented
609#117×C79C2312yes—
610#117×C79C2312yes—
611#117×C79C2314yescomplemented
612C2×C22⋊C4×C79C2311yescharacteristic
613C2×C22⋊C4×C79C2311yescharacteristic
614C2×C22⋊C4×C79C2311yescharacteristic
615C2×C22⋊C4×C79C2312yes—
616C2×C22⋊C4×C79C2312yes—
617C2×C22⋊C4×C79C2312yes—
618C2×C22⋊C4×C79C2314yes—
619C2×C22⋊C4×C79C2314yes—
620C2×C22⋊C4×C79C2311yescharacteristic
621C2×C22⋊C4×C79C2314yescomplemented
622C23×D79—24no—
623C23×D79—42no—
624C23×D79—42no—
625C23×D79—42no—
626C23×D79—42no—
627C23×D79—42no—
628C23×D79C2412yes—
629C23×D79C2412yes—
630C23×D79C2412yes—
631C23×D79C2412yes—
632C23×D79C2412yes—
633C23×D79C2411yescharacteristic
634C23×D79C2414yes—
635C23×D79C2412yes—
636C23×D79C2414yes—
637C23×D79C2411yescharacteristic
638#11929625—44no—
639#11929625—48no—
640#11929624—44no—
641#11929624—44no—
642#11929624—48no—
643#11929624—48no—
644#11929624—48no—
645#11929624—48no—
646#11929623—216no—
647#11929623—48no—
648#11929623—48no—
649#11929623—48no—
650#11929623—44no—
651C2×Dic158C2414yes—
652C2×Dic158C2412yes—
653C2×Dic158C2414yes—
654C2×Dic158C2412yes—
655Q8×D79—44no—
656C2×D316—28no—
657C2×D316—44no—
658C2×D316—48no—
659C2×D316—44no—
660C2×D316—48no—
661C2×D316—44no—
662C2×D316C2414yes—
663C2×D316C2414yes—
664C2×D316C2414yes—
665C2×D316C2412yes—
666C2×D316C2412yes—
667C2×D316C2414yes—
668C2×D316C2414yes—
669C2×D316C2414yes—
670C2×D316C2414yes—
671C2×D316C2414yes—
672C2×D316C2414yes—
673C2×D316C2414yes—
674C2×C22⋊D79—28no—
675C2×C22⋊D79—28no—
676C2×C22⋊D79—48no—
677C2×C22⋊D79—44no—
678C2×C22⋊D79—48no—
679C2×C22⋊D79—44no—
680C2×C22⋊D79—44no—
681C2×C22⋊D79—44no—
682C2×C22⋊D79—44no—
683C2×C22⋊D79—48no—
684C2×C22⋊D79—44no—
685C2×C22⋊D79—48no—
686C2×C22⋊D79—44no—
687C2×C22⋊D79—44no—
688C2×C22⋊D79—44no—
689C2×C22⋊D79C2414yes—
690C2×C22⋊D79C2414yes—
691C2×C22⋊D79C2414yes—
692C2×C22⋊D79C2414yes—
693C2×C22⋊D79C2414yes—
694C2×C22⋊D79C2414yes—
695C2×C22⋊D79C2414yes—
696C2×C22⋊D79C2414yes—
697C2×C22⋊D79C2414yes—
698C2×C22⋊D79C2414yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2414yes—
707C2×C22⋊D79C2414yes—
708C2×C22⋊D79C2414yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711D4×D79—216no—
712D4×D79—44no—
713D4×D79—48no—
714D4×D79—48no—
715D4×D79—48no—
716D4×D79—48no—
717D4×D79—48no—
718D4×D79—48no—
719D4×D79—48no—
720D4×D79—48no—
721C22×Dic79—24no—
722C22×Dic79—42no—
723C22×Dic79C2412yes—
724C22×Dic79C2414yes—
725C22×Dic79C2412yes—
726C22×Dic79C2412yes—
727C22×Dic79C2411yescharacteristic
728C22×Dic79C2414yes—
729C22×Dic79C2412yes—
730C22×Dic79C2412yes—
731C22×Dic79C2412yes—
732C22×Dic79C2412yes—
733C22×Dic79C2412yes—
734C22×Dic79C2411yescharacteristic
735C2×C4×D79—28no—
736C2×C4×D79—44no—
737C2×C4×D79—48no—
738C2×C4×D79—44no—
739C2×C4×D79—44no—
740C2×C4×D79—44no—
741C2×C4×D79—44no—
742C2×C4×D79C2412yes—
743C2×C4×D79C2414yes—
744C2×C4×D79C2414yes—
745C2×C4×D79C2412yes—
746C2×C4×D79C2412yes—
747C2×C4×D79C2412yes—
748C2×C4×D79C2414yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2414yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2414yes—
753C2×C4×D79C2414yes—
754C2×C4×D79C2414yes—
755C2×C4×D79C2414yes—
756C2×C4×D79C2412yes—
757C2×C4×D79C2412yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2412yes—
760C4⋊Dic79C2412yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2414yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2414yes—
765C4⋊Dic79C2414yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2412yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784C22⋊Dic79C2414yes—
785C22⋊Dic79C2414yes—
786C22⋊Dic79C2414yes—
787C22⋊Dic79C2414yes—
788C22⋊Dic79C2414yes—
789C22⋊Dic79C2414yes—
790C22⋊Dic79C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794(C2×D79)⋊C4C2414yes—
795(C2×D79)⋊C4C2414yes—
796(C2×D79)⋊C4C2414yes—
797(C2×D79)⋊C4C2414yes—
798(C2×D79)⋊C4C2414yes—
799(C2×D79)⋊C4C2414yes—
800(C2×D79)⋊C4C2414yes—
801(C2×D79)⋊C4C2414yes—
802(C2×D79)⋊C4C2414yes—
803(C2×D79)⋊C4C2414yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818C4×Dic79C2414yes—
819C4×Dic79C2414yes—
820C4×Dic79C2414yes—
821C4×Dic79C2414yes—
822C4×Dic79C2414yes—
823C4×Dic79C2414yes—
824C24×C79—42no—
825C24×C79—42no—
826C24×C79—42no—
827C24×C79C2411yescharacteristic
828C24×C79C2411yescharacteristic
829C24×C79C2412yes—
830C24×C79C2412yes—
831C24×C79C2411yescharacteristic
832C24×C79C2412yes—
833#41×C79—44no—
834#41×C79—44no—
835C2×Q8×C79C2412yes—
836C2×Q8×C79C2412yes—
837C2×D4×C79—44no—
838C2×D4×C79—44no—
839C2×D4×C79—44no—
840C2×D4×C79C2414yes—
841C2×D4×C79C2414yes—
842C2×D4×C79C2414yes—
843C2×D4×C79C2414yes—
844C2×D4×C79C2414yes—
845C2×D4×C79C2412yes—
846C2×D4×C79C2414yes—
847C2×D4×C79C2412yes—
848C22×C4×C79—42no—
849C22×C4×C79—42no—
850C22×C4×C79C2412yes—
851C22×C4×C79C2412yes—
852C22×C4×C79C2412yes—
853C22×C4×C79C2412yes—
854C22×C4×C79C2414yes—
855C22×C4×C79C2414yes—
856C22×C4×C79C2412yes—
857C22×C4×C79C2411yescharacteristic
858C22×C4×C79C2411yescharacteristic
859C22×C4×C79C2412yes—
860C22×C4×C79C2412yes—
861C22×C4×C79C2411yescharacteristic
862C22×C4×C79C2411yescharacteristic
863C4⋊C4×C79C2412yes—
864C4⋊C4×C79C2412yes—
865C4⋊C4×C79C2412yes—
866C4⋊C4×C79C2412yes—
867C4⋊C4×C79C2414yes—
868C4⋊C4×C79C2414yes—
869C4⋊C4×C79C2414yes—
870C4⋊C4×C79C2414yes—
871C22⋊C4×C79C2414yes—
872C22⋊C4×C79C2414yes—
873C22⋊C4×C79C2414yes—
874C22⋊C4×C79C2414yes—
875C22⋊C4×C79C2414yes—
876C22⋊C4×C79C2414yes—
877C22⋊C4×C79C2414yes—
878C22⋊C4×C79C2414yes—
879C22⋊C4×C79C2414yes—
880C22⋊C4×C79C2414yes—
881C22⋊C4×C79C2414yes—
882C22⋊C4×C79C2414yes—
883C22⋊C4×C79C2414yes—
884C22⋊C4×C79C2414yes—
885C42×C79C2414yes—
886C42×C79C2414yes—
887C23×C79—22no—
888C23×C79—22no—
889C23×C79—22no—
890C23×C79—24no—
891C23×C79—24no—
892C23×C79—22no—
893C23×C79—22no—
894C23×C79—41no—
895C23×C79—42no—
896C23×C79—41no—
897C23×C79—41no—
898C23×C79—42no—
899C23×C79—41no—
900C23×C79—42no—
901C23×C79—42no—
902C23×C79—42no—
903C23×C79—42no—
904C23×C79—42no—
905C23×C79—88no—
906C23×C79C2514yes—
907C23×C79C2512yes—
908C23×C79C2512yes—
909C23×C79C2511yescharacteristic
910C23×C79C2511yescharacteristic
911C23×C79C2511yescharacteristic
912C22×D79—24no—
913C22×D79—22no—
914C22×D79—24no—
915C22×D79—24no—
916C22×D79—24no—
917C22×D79—24no—
918C22×D79—24no—
919C22×D79—24no—
920C22×D79—28no—
921C22×D79—41no—
922C22×D79—42no—
923C22×D79—41no—
924C22×D79—41no—
925C22×D79—42no—
926C22×D79—41no—
927C22×D79—44no—
928C22×D79—44no—
929C22×D79—42no—
930C22×D79—42no—
931C22×D79—42no—
932C22×D79—42no—
933C22×D79—42no—
934C22×D79—42no—
935C22×D79—44no—
936C22×D79—42no—
937C22×D79—42no—
938C22×D79—44no—
939C22×D79—44no—
940C22×D79—42no—
941C22×D79—416no—
942C22×D79—88no—
943C22×D79H(5,𝔽2)14yescomplemented
944C22×D79C2514yes—
945C22×D79C2514yes—
946C22×D79C2512yes—
947C22×D79C2512yes—
948Q8×C79—42no—
949Q8×C79—42no—
950D4×C79—28no—
951D4×C79—28no—
952D4×C79—28no—
953D4×C79—42no—
954D4×C79—44no—
955D4×C79—44no—
956D4×C79—42no—
957D4×C79—44no—
958C2×C4×C79—24no—
959C2×C4×C79—24no—
960C2×C4×C79—41no—
961C2×C4×C79—42no—
962C2×C4×C79—41no—
963C2×C4×C79—44no—
964C2×C4×C79—41no—
965C2×C4×C79—42no—
966C2×C4×C79—41no—
967C2×C4×C79—44no—
968C2×C4×C79—42no—
969C2×C4×C79—42no—
970C2×C4×C79—42no—
971C2×C4×C79C2514yes—
972C2×C4×C79C2512yes—
973C2×C4×C79C2512yes—
974C2×C4×C79C2514yes—
975C2×C4×C79C2514yes—
976C2×C4×C79C2512yes—
977C2×C4×C79C2512yes—
978C22⋊D79—28no—
979C22⋊D79—28no—
980C22⋊D79—28no—
981C22⋊D79—28no—
982C22⋊D79—28no—
983C22⋊D79—28no—
984C22⋊D79—28no—
985C22⋊D79—28no—
986C22⋊D79—28no—
987C22⋊D79—44no—
988C22⋊D79—44no—
989C22⋊D79—44no—
990C22⋊D79—44no—
991C22⋊D79—44no—
992C22⋊D79—44no—
993C22⋊D79—44no—
994C22⋊D79—44no—
995C22⋊D79—44no—
996C22⋊D79—44no—
997C22⋊D79—44no—
998C22⋊D79—44no—
999C22⋊D79—44no—
1000C2×Dic79—22no—
1001C2×Dic79—24no—
1002C2×Dic79—24no—
1003C2×Dic79—24no—
1004C2×Dic79—28no—
1005C2×Dic79—42no—
1006C2×Dic79—42no—
1007C2×Dic79—42no—
1008C2×Dic79—44no—
1009C2×Dic79—42no—
1010C2×Dic79—42no—
1011C2×Dic79H(5,𝔽2)14yescomplemented
1012C2×Dic79C2514yes—
1013C2×Dic79C2514yes—
1014C2×Dic79C2514yes—
1015C2×Dic79C2514yes—
1016C2×Dic79C2512yes—
1017C2×Dic79C2512yes—
1018D316—28no—
1019D316—28no—
1020D316—28no—
1021D316—44no—
1022D316—44no—
1023D316—44no—
1024D316—44no—
1025D316—42no—
1026D316—44no—
1027D316—44no—
1028D316—44no—
1029D316—42no—
1030C4×D79—28no—
1031C4×D79—24no—
1032C4×D79—24no—
1033C4×D79—24no—
1034C4×D79—24no—
1035C4×D79—28no—
1036C4×D79—42no—
1037C4×D79—42no—
1038C4×D79—42no—
1039C4×D79—42no—
1040C4×D79—44no—
1041C4×D79—44no—
1042C4×D79—44no—
1043C4×D79—44no—
1044C4×D79—44no—
1045C4×D79—44no—
1046C4×D79—44no—
1047C4×D79—44no—
1048Dic158—28no—
1049Dic158—42no—
1050Dic158—44no—
1051Dic158—42no—
1052C22×C79—28no—
1053C22×C79—21no—
1054C22×C79—21no—
1055C22×C79—21no—
1056C22×C79—21no—
1057C22×C79—21no—
1058C22×C79—21no—
1059C22×C79—22no—
1060C22×C79—22no—
1061C22×C79—22no—
1062C22×C79—22no—
1063C22×C79—24no—
1064C22×C79—24no—
1065C22×C79—24no—
1066C22×C79—22no—
1067C22×C79—22no—
1068C22×C79—84no—
1069C22×C79—84no—
1070C22×C79—82no—
1071C22×C79—82no—
1072C22×C79—162no—
1073C22×C79C2×H(5,𝔽2)12yes—
1074C22×C79C2×H(5,𝔽2)12yes—
1075C22×C79#58512yes—
1076C22×C79C2611yescharacteristic
1077C2×D79—22no—
1078C2×D79—22no—
1079C2×D79—24no—
1080C2×D79—24no—
1081C2×D79—24no—
1082C2×D79—22no—
1083C2×D79—22no—
1084C2×D79—24no—
1085C2×D79—24no—
1086C2×D79—22no—
1087C2×D79—24no—
1088C2×D79—44no—
1089C2×D79—48no—
1090C2×D79—48no—
1091C2×D79—44no—
1092C2×D79—88no—
1093C2×D79—84no—
1094C2×D79—84no—
1095C2×D79—84no—
1096C2×D79—164no—
1097C2×D79—162no—
1098C2×D79C2×H(5,𝔽2)14yes—
1099C4×C79—22no—
1100C4×C79—22no—
1101C4×C79—22no—
1102C4×C79—22no—
1103C4×C79—24no—
1104C4×C79—24no—
1105C4×C79—24no—
1106Dic79—24no—
1107Dic79—24no—
1108Dic79—24no—
1109Dic79—22no—
1110Dic79—24no—
1111Dic79C2×H(5,𝔽2)14yes—
1112#62818—791nomaximal, Sylow
1113C2×C79—22no—
1114C2×C79—22no—
1115C2×C79—22no—
1116C2×C79—44no—
1117C2×C79—42no—
1118C2×C79—42no—
1119C2×C79C22×H(5,𝔽2)11yescharacteristic
1120C2×C79C22×H(5,𝔽2)11yescharacteristic
1121C2×C79C2×#58511yescharacteristic
1122D79—24no—
1123D79—42no—
1124D79—44no—
1125D79—44no—
1126#3542—794no—
1127#3542—794no—
1128#3537—792no—
1129#3537—792no—
1130#3536—792no—
1131#3536—792no—
1132#3534—794no—
1133#3534—794no—
1134#3519—794no—
1135#3519—794no—
1136#3505—794no—
1137#3496—794no—
1138#3494—794no—
1139#3492—792no—
1140#3490—792no—
1141#3490—791no—
1142#3490D7911yescharacteristic, complemented
1143#3488—794no—
1144#3484—792no—
1145#3484—792no—
1146#3484—792no—
1147C2×#525—792no—
1148C22×#121—791no—
1149C79#6281811yescharacteristic, complemented, Sylow
1150C2×H(5,𝔽2)—792no—
1151C2×H(5,𝔽2)—792no—
1152C2×H(5,𝔽2)—792no—
1153C22×#41—792no—
1154C23×D4—791no—
1155C23×D4—791no—
1156C23×D4—791no—
1157C24×C4—791no—
1158#562—794no—
1159#562—794no—
1160#562—794no—
1161#562—794no—
1162#560—794no—
1163#560—794no—
1164#560—794no—
1165#560—794no—
1166#555—794no—
1167#555—794no—
1168#554—794no—
1169#554—794no—
1170#553—794no—
1171#553—794no—
1172#553—794no—
1173#553—794no—
1174#553—794no—
1175#553—794no—
1176#553—794no—
1177#553—794no—
1178#553—794no—
1179#553—794no—
1180#552—794no—
1181#552—794no—
1182#551—794no—
1183#551—794no—
1184#551—794no—
1185#551—794no—
1186#551—794no—
1187#551—794no—
1188#551C2×D7914yescomplemented
1189#551C2×D7914yescomplemented
1190#550—794no—
1191#550—794no—
1192#548—794no—
1193#548—794no—
1194#547—794no—
1195#547—794no—
1196#547—794no—
1197#547—794no—
1198#546—794no—
1199#546—794no—
1200#546—794no—
1201#546—794no—
1202#546—794no—
1203#546—794no—
1204#546—794no—
1205#546—794no—
1206#546—794no—
1207#546—794no—
1208#546—794no—
1209#546—794no—
1210#546—794no—
1211#546—794no—
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#546C2×D7914yescomplemented
1223#546C2×D7914yescomplemented
1224D42—794no—
1225D42—794no—
1226D42—794no—
1227D42—794no—
1228D42—794no—
1229D42—794no—
1230D42—794no—
1231D42—794no—
1232D42—794no—
1233D42—794no—
1234D42—794no—
1235D42—794no—
1236D42—794no—
1237D42—794no—
1238#544—792no—
1239#543—792no—
1240#543—791no—
1241#543C2×D7911yescharacteristic, complemented
1242#542—794no—
1243#542—794no—
1244#540—794no—
1245#540—794no—
1246#540—794no—
1247#540—794no—
1248#540—794no—
1249#540—794no—
1250#539—794no—
1251#539—792no—
1252#539—794no—
1253#539—792no—
1254#539—794no—
1255#538—794no—
1256#538—794no—
1257#538—794no—
1258#538—794no—
1259#538—792no—
1260#538—792no—
1261#538—794no—
1262#538—794no—
1263#538—792no—
1264#538—792no—
1265#538—794no—
1266#538C2×D7912yescomplemented
1267#538C2×D7912yescomplemented
1268#537—794no—
1269#537—794no—
1270#537—792no—
1271#537—794no—
1272#537—794no—
1273#535—792no—
1274#535—794no—
1275#535—794no—
1276#535—794no—
1277#535—794no—
1278#535—792no—
1279#534—792no—
1280#534—792no—
1281#534—794no—
1282#534—794no—
1283#534—794no—
1284#534—792no—
1285#534—794no—
1286#534—794no—
1287#534—794no—
1288#534—792no—
1289#534—792no—
1290#534—791no—
1291#534C2×D7911yescharacteristic, complemented
1292#532—794no—
1293#532—794no—
1294#529—794no—
1295#529—794no—
1296#525—792no—
1297#525—792no—
1298#525—792no—
1299#525—794no—
1300#525—794no—
1301#525—792no—
1302#525—792no—
1303#525—792no—
1304#525—792no—
1305#525—794no—
1306#525—794no—
1307#525—794no—
1308#525—794no—
1309#525—794no—
1310#525—792no—
1311#525C2×D7912yescomplemented
1312#525C2×D7912yescomplemented
1313C2×#123—794no—
1314C2×C22⋊Q8—792no—
1315C2×C22⋊Q8—792no—
1316C2×#121—792no—
1317C2×#121—792no—
1318C2×#121—794no—
1319C2×#121—794no—
1320C2×#121—794no—
1321C2×#121—792no—
1322C2×#121—792no—
1323C2×#121—794no—
1324C2×#121—792no—
1325C2×#121—792no—
1326C2×#121—794no—
1327C2×#121—794no—
1328C2×#120—792no—
1329C2×#120—794no—
1330C2×#120—794no—
1331C2×#120C2×D7912yescomplemented
1332#520—794no—
1333#518—794no—
1334#518—792no—
1335#518—792no—
1336#518—792no—
1337#518—792no—
1338#518C2×D7912yescomplemented
1339C2×C4×D4—794no—
1340C2×C4×D4—794no—
1341C2×#117—792no—
1342C22×C4⋊C4—791no—
1343C22×C22⋊C4—791no—
1344C22×C22⋊C4C2×D7911yescharacteristic, complemented
1345C25—791no—
1346C25—791no—
1347C25C22×D7911yescharacteristic
1348H(5,𝔽2)—3168no—
1349H(5,𝔽2)—3168no—
1350H(5,𝔽2)—3168no—
1351C2×#41—3168no—
1352C2×#41—792no—
1353C2×#41—794no—
1354C2×#41—794no—
1355C2×#41—792no—
1356C2×#41—794no—
1357C2×#41—794no—
1358C2×#41—794no—
1359C2×#41—792no—
1360C2×#41—792no—
1361C2×#41—794no—
1362C2×#41—794no—
1363C2×#41—794no—
1364C2×#41—794no—
1365C2×#41C22×D7912yes—
1366C2×#41C22×D7912yes—
1367C22×Q8—792no—
1368C22×D4—3164no—
1369C22×D4—3164no—
1370C22×D4—3164no—
1371C22×D4—792no—
1372C22×D4—792no—
1373C22×D4—792no—
1374C22×D4—792no—
1375C22×D4—792no—
1376C22×D4—792no—
1377C22×D4—794no—
1378C22×D4—792no—
1379C22×D4—792no—
1380C22×D4—794no—
1381C22×D4—792no—
1382C22×D4—794no—
1383C22×D4—794no—
1384C22×D4—794no—
1385C22×D4—794no—
1386C22×D4—794no—
1387C22×D4—794no—
1388C22×D4—794no—
1389C22×D4—792no—
1390C22×D4—794no—
1391C22×D4—794no—
1392C22×D4—794no—
1393C22×D4—792no—
1394C22×D4—792no—
1395C22×D4—794no—
1396C22×D4—792no—
1397C22×D4—792no—
1398C22×D4—794no—
1399C22×D4—792no—
1400C22×D4—794no—
1401C22×D4—792no—
1402C22×D4C22×D7912yes—
1403C22×D4C22×D7912yes—
1404C22×D4C22×D7912yes—
1405C23×C4—3164no—
1406C23×C4—791no—
1407C23×C4—792no—
1408C23×C4—792no—
1409C23×C4—794no—
1410C23×C4—792no—
1411C23×C4—792no—
1412C23×C4—792no—
1413C23×C4—791no—
1414C23×C4—792no—
1415C23×C4C22×D7911yescharacteristic
1416C23×C4C22×D7911yescharacteristic
1417C4⋊Q8—794no—
1418C4⋊Q8—794no—
1419#127—794no—
1420#127—794no—
1421#127—794no—
1422#127—794no—
1423#127—794no—
1424#127—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#126C22×D7914yescomplemented
1436#126C22×D7914yescomplemented
1437#125—794no—
1438#125—794no—
1439#125—794no—
1440#125—794no—
1441#125—794no—
1442#125—794no—
1443#124—794no—
1444#124—794no—
1445#124—794no—
1446#124—794no—
1447#124—794no—
1448#124—794no—
1449#124—794no—
1450#124—794no—
1451#124—794no—
1452#124—794no—
1453#124—794no—
1454#124—794no—
1455#124C22×D7914yescomplemented
1456#124C22×D7914yescomplemented
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123—794no—
1467#123—794no—
1468#123—794no—
1469#123—794no—
1470#123—794no—
1471#123—794no—
1472#123—794no—
1473#123—794no—
1474#123—794no—
1475#123—794no—
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#123C22×D7914yes—
1493#123C22×D7914yes—
1494#123C22×D7914yescomplemented
1495#123C22×D7914yescomplemented
1496#123C22×D7914yescomplemented
1497C22⋊Q8—792no—
1498C22⋊Q8—792no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8—792no—
1502C22⋊Q8—792no—
1503C22⋊Q8—792no—
1504C22⋊Q8—792no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—792no—
1509C22⋊Q8—792no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8—794no—
1514C22⋊Q8—794no—
1515C22⋊Q8—794no—
1516C22⋊Q8—794no—
1517C22⋊Q8—794no—
1518C22⋊Q8—794no—
1519C22⋊Q8—794no—
1520C22⋊Q8—794no—
1521C22⋊Q8—794no—
1522C22⋊Q8—794no—
1523C22⋊Q8C22×D7912yes—
1524C22⋊Q8C22×D7912yes—
1525C22⋊Q8C22×D7912yes—
1526C22⋊Q8C22×D7912yes—
1527C22⋊Q8C22×D7914yescomplemented
1528C22⋊Q8C22×D7914yescomplemented
1529#121—792no—
1530#121—794no—
1531#121—794no—
1532#121—792no—
1533#121—794no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—794no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121—794no—
1546#121—794no—
1547#121—794no—
1548#121—794no—
1549#121—792no—
1550#121—792no—
1551#121—794no—
1552#121—792no—
1553#121—792no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—794no—
1558#121—794no—
1559#121—794no—
1560#121—792no—
1561#121—792no—
1562#121—794no—
1563#121—794no—
1564#121—794no—
1565#121—794no—
1566#121—794no—
1567#121—794no—
1568#121—794no—
1569#121—794no—
1570#121—794no—
1571#121—794no—
1572#121—794no—
1573#121—794no—
1574#121—794no—
1575#121—794no—
1576#121—794no—
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#121—794no—
1593#121—794no—
1594#121—794no—
1595#121—794no—
1596#121—794no—
1597#121—794no—
1598#121—794no—
1599#121—794no—
1600#121—794no—
1601#121—794no—
1602#121—794no—
1603#121C22×D7912yes—
1604#121C22×D7912yes—
1605#121C22×D7912yes—
1606#121C22×D7912yes—
1607#121C22×D7914yescomplemented
1608#121C22×D7914yescomplemented
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#120—794no—
1618#120—794no—
1619#120—794no—
1620#120—794no—
1621#120—794no—
1622#120—794no—
1623#120—794no—
1624#120—794no—
1625#120—794no—
1626#120—794no—
1627#120—794no—
1628#120—794no—
1629#120—794no—
1630#120—794no—
1631#120—794no—
1632#120—794no—
1633#120—794no—
1634#120—794no—
1635#120—794no—
1636#120—794no—
1637#120—794no—
1638#120—794no—
1639#120—794no—
1640#120C22×D7914yes—
1641#120C22×D7914yes—
1642#120C22×D7914yes—
1643#120C22×D7914yes—
1644#120C22×D7914yescomplemented
1645C4×Q8—794no—
1646C4×Q8—794no—
1647C4×D4—794no—
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—794no—
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—794no—
1687C4×D4C22×D7914yes—
1688C4×D4C22×D7914yes—
1689C4×D4C22×D7914yes—
1690C4×D4C22×D7914yes—
1691C4×D4C22×D7914yescomplemented
1692C4×D4C22×D7914yescomplemented
1693#117—792no—
1694#117—792no—
1695#117—792no—
1696#117—792no—
1697#117—794no—
1698#117—794no—
1699#117—794no—
1700#117—794no—
1701#117—794no—
1702#117—794no—
1703#117—794no—
1704#117—794no—
1705#117C22×D7912yes—
1706#117C22×D7912yes—
1707#117C22×D7914yescomplemented
1708C2×C4⋊C4—792no—
1709C2×C4⋊C4—792no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—792no—
1712C2×C4⋊C4—792no—
1713C2×C4⋊C4—794no—
1714C2×C4⋊C4—792no—
1715C2×C4⋊C4—792no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4—794no—
1718C2×C4⋊C4—794no—
1719C2×C22⋊C4—792no—
1720C2×C22⋊C4—792no—
1721C2×C22⋊C4—792no—
1722C2×C22⋊C4—792no—
1723C2×C22⋊C4—792no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C22⋊C4—794no—
1728C2×C22⋊C4—794no—
1729C2×C22⋊C4—794no—
1730C2×C22⋊C4—794no—
1731C2×C22⋊C4—794no—
1732C2×C22⋊C4—794no—
1733C2×C22⋊C4—794no—
1734C2×C22⋊C4—794no—
1735C2×C22⋊C4—794no—
1736C2×C22⋊C4—794no—
1737C2×C22⋊C4C22×D7911yescharacteristic
1738C2×C22⋊C4C22×D7911yescharacteristic
1739C2×C22⋊C4C22×D7911yescharacteristic
1740C2×C22⋊C4C22×D7911yescharacteristic
1741C2×C22⋊C4C22×D7914yes—
1742C2×C22⋊C4C22×D7914yes—
1743C2×C22⋊C4C22×D7912yes—
1744C2×C22⋊C4C22×D7912yes—
1745C2×C22⋊C4C22×D7912yes—
1746C2×C22⋊C4C22×D7914yescomplemented
1747C2×C42—794no—
1748C24—42no—
1749C24—42no—
1750C24—42no—
1751C24—3162no—
1752C24—3162no—
1753C24—3162no—
1754C24—3162no—
1755C24—3162no—
1756C24—794no—
1757C24—792no—
1758C24—791no—
1759C24—792no—
1760C24—792no—
1761C24—792no—
1762C24—794no—
1763C24—791no—
1764C24—792no—
1765C24—792no—
1766C24—1584no—
1767C24C23×D7911yescharacteristic
1768C24C23×D7911yescharacteristic
1769C24C23×D7912yes—
1770C24C23×D7912yes—
1771C24C23×D7911yescharacteristic
1772C24C23×D7912yes—
1773#41—44no—
1774#41—44no—
1775#41—3164no—
1776#41—3164no—
1777#41—3168no—
1778#41—3168no—
1779#41—3168no—
1780#41—3168no—
1781#41—3168no—
1782#41—3168no—
1783#41—3168no—
1784#41—3168no—
1785#41—3164no—
1786#41—3164no—
1787#41—15816no—
1788C2×Q8—3164no—
1789C2×Q8—792no—
1790C2×Q8—792no—
1791C2×Q8—794no—
1792C2×Q8—794no—
1793C2×Q8C23×D7912yes—
1794C2×Q8C23×D7912yes—
1795C2×D4—44no—
1796C2×D4—44no—
1797C2×D4—44no—
1798C2×D4—3164no—
1799C2×D4—3164no—
1800C2×D4—3168no—
1801C2×D4—3164no—
1802C2×D4—3168no—
1803C2×D4—3168no—
1804C2×D4—3168no—
1805C2×D4—3168no—
1806C2×D4—3168no—
1807C2×D4—3168no—
1808C2×D4—3168no—
1809C2×D4—3168no—
1810C2×D4—3164no—
1811C2×D4—3164no—
1812C2×D4—3164no—
1813C2×D4—3164no—
1814C2×D4—3168no—
1815C2×D4—3164no—
1816C2×D4—3168no—
1817C2×D4—3164no—
1818C2×D4—3168no—
1819C2×D4—3164no—
1820C2×D4—3164no—
1821C2×D4—3164no—
1822C2×D4—3168no—
1823C2×D4—3164no—
1824C2×D4—3168no—
1825C2×D4—794no—
1826C2×D4—794no—
1827C2×D4—794no—
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—794no—
1837C2×D4—794no—
1838C2×D4—794no—
1839C2×D4—794no—
1840C2×D4—794no—
1841C2×D4—794no—
1842C2×D4—794no—
1843C2×D4—794no—
1844C2×D4—794no—
1845C2×D4—794no—
1846C2×D4—794no—
1847C2×D4—794no—
1848C2×D4—794no—
1849C2×D4—792no—
1850C2×D4—794no—
1851C2×D4—794no—
1852C2×D4—794no—
1853C2×D4—792no—
1854C2×D4—794no—
1855C2×D4—794no—
1856C2×D4—794no—
1857C2×D4—794no—
1858C2×D4—794no—
1859C2×D4—1588no—
1860C2×D4—1588no—
1861C2×D4—15816no—
1862C2×D4—1588no—
1863C2×D4C23×D7914yes—
1864C2×D4C23×D7914yes—
1865C2×D4C23×D7914yes—
1866C2×D4C23×D7914yes—
1867C2×D4C23×D7912yes—
1868C2×D4C23×D7914yes—
1869C2×D4C23×D7914yes—
1870C2×D4C23×D7912yes—
1871C22×C4—42no—
1872C22×C4—42no—
1873C22×C4—3164no—
1874C22×C4—3164no—
1875C22×C4—3164no—
1876C22×C4—3164no—
1877C22×C4—3164no—
1878C22×C4—3168no—
1879C22×C4—3162no—
1880C22×C4—792no—
1881C22×C4—792no—
1882C22×C4—792no—
1883C22×C4—792no—
1884C22×C4—792no—
1885C22×C4—794no—
1886C22×C4—794no—
1887C22×C4—792no—
1888C22×C4—794no—
1889C22×C4—792no—
1890C22×C4—794no—
1891C22×C4—794no—
1892C22×C4—794no—
1893C22×C4—794no—
1894C22×C4—794no—
1895C22×C4—794no—
1896C22×C4—792no—
1897C22×C4—792no—
1898C22×C4—791no—
1899C22×C4—792no—
1900C22×C4—792no—
1901C22×C4—792no—
1902C22×C4—791no—
1903C22×C4—794no—
1904C22×C4—792no—
1905C22×C4—794no—
1906C22×C4—792no—
1907C22×C4—794no—
1908C22×C4—792no—
1909C22×C4—792no—
1910C22×C4—1588no—
1911C22×C4—1584no—
1912C22×C4C23×D7912yes—
1913C22×C4C23×D7912yes—
1914C22×C4C23×D7911yescharacteristic
1915C22×C4C23×D7912yes—
1916C22×C4C23×D7911yescharacteristic
1917C22×C4C23×D7914yes—
1918C22×C4C23×D7911yescharacteristic
1919C22×C4C23×D7912yes—
1920C22×C4C23×D7911yescharacteristic
1921C22×C4C23×D7912yes—
1922C22×C4C23×D7912yes—
1923C22×C4C23×D7912yes—
1924C22×C4C23×D7914yes—
1925C4⋊C4—794no—
1926C4⋊C4—794no—
1927C4⋊C4—794no—
1928C4⋊C4—794no—
1929C4⋊C4—794no—
1930C4⋊C4—794no—
1931C4⋊C4—794no—
1932C4⋊C4—794no—
1933C4⋊C4—794no—
1934C4⋊C4—794no—
1935C4⋊C4—794no—
1936C4⋊C4—794no—
1937C4⋊C4—794no—
1938C4⋊C4—794no—
1939C4⋊C4—794no—
1940C4⋊C4—794no—
1941C4⋊C4—792no—
1942C4⋊C4—792no—
1943C4⋊C4—794no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—792no—
1947C4⋊C4—792no—
1948C4⋊C4—794no—
1949C4⋊C4C23×D7912yes—
1950C4⋊C4C23×D7912yes—
1951C4⋊C4C23×D7914yes—
1952C4⋊C4C23×D7914yes—
1953C4⋊C4C23×D7914yes—
1954C4⋊C4C23×D7912yes—
1955C4⋊C4C23×D7912yes—
1956C4⋊C4C23×D7914yes—
1957C22⋊C4—794no—
1958C22⋊C4—794no—
1959C22⋊C4—794no—
1960C22⋊C4—794no—
1961C22⋊C4—794no—
1962C22⋊C4—794no—
1963C22⋊C4—794no—
1964C22⋊C4—794no—
1965C22⋊C4—794no—
1966C22⋊C4—794no—
1967C22⋊C4—794no—
1968C22⋊C4—794no—
1969C22⋊C4—794no—
1970C22⋊C4—794no—
1971C22⋊C4—794no—
1972C22⋊C4—794no—
1973C22⋊C4—794no—
1974C22⋊C4—794no—
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—794no—
1984C22⋊C4—794no—
1985C22⋊C4—794no—
1986C22⋊C4—794no—
1987C22⋊C4—794no—
1988C22⋊C4—794no—
1989C22⋊C4—794no—
1990C22⋊C4—794no—
1991C22⋊C4C23×D7914yes—
1992C22⋊C4C23×D7914yes—
1993C22⋊C4C23×D7914yes—
1994C22⋊C4C23×D7914yes—
1995C22⋊C4C23×D7914yes—
1996C22⋊C4C23×D7914yes—
1997C22⋊C4C23×D7914yes—
1998C22⋊C4C23×D7914yes—
1999C22⋊C4C23×D7914yes—
2000C22⋊C4C23×D7914yes—
2001C22⋊C4C23×D7914yes—
2002C22⋊C4C23×D7914yes—
2003C22⋊C4C23×D7914yes—
2004C22⋊C4C23×D7914yes—
2005C42—794no—
2006C42—794no—
2007C42—794no—
2008C42—794no—
2009C42—794no—
2010C42—794no—
2011C42C23×D7914yes—
2012C42C23×D7914yes—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—24no—
2017C23—24no—
2018C23—22no—
2019C23—22no—
2020C23—41no—
2021C23—42no—
2022C23—41no—
2023C23—41no—
2024C23—42no—
2025C23—41no—
2026C23—42no—
2027C23—42no—
2028C23—42no—
2029C23—42no—
2030C23—42no—
2031C23—88no—
2032C23—31616no—
2033C23—3161no—
2034C23—3162no—
2035C23—3161no—
2036C23—3161no—
2037C23—3162no—
2038C23—3161no—
2039C23—3164no—
2040C23—3162no—
2041C23—3162no—
2042C23—3162no—
2043C23—3162no—
2044C23—3164no—
2045C23—3162no—
2046C23—3162no—
2047C23—3164no—
2048C23—3164no—
2049C23—3162no—
2050C23—3162no—
2051C23—3162no—
2052C23—3164no—
2053C23—794no—
2054C23—792no—
2055C23—794no—
2056C23—792no—
2057C23—794no—
2058C23—6328no—
2059C23—1584no—
2060C23—1584no—
2061C23—1588no—
2062C23—1584no—
2063C23—1582no—
2064C23—1584no—
2065C23—1584no—
2066C23—1584no—
2067C23—1584no—
2068C23C24×D7912yes—
2069C23C24×D7914yes—
2070C23C24×D7912yes—
2071C23C24×D7911yescharacteristic
2072C23C24×D7911yescharacteristic
2073C23C24×D7911yescharacteristic
2074Q8—42no—
2075Q8—42no—
2076Q8—3162no—
2077Q8—3162no—
2078Q8—3164no—
2079Q8—1588no—
2080D4—28no—
2081D4—28no—
2082D4—28no—
2083D4—44no—
2084D4—44no—
2085D4—44no—
2086D4—42no—
2087D4—42no—
2088D4—3164no—
2089D4—3164no—
2090D4—3162no—
2091D4—3164no—
2092D4—3164no—
2093D4—3162no—
2094D4—3164no—
2095D4—3164no—
2096D4—3164no—
2097D4—3164no—
2098D4—3164no—
2099D4—3164no—
2100D4—3164no—
2101D4—3164no—
2102D4—3164no—
2103D4—3164no—
2104D4—3164no—
2105D4—3164no—
2106D4—3164no—
2107D4—3164no—
2108D4—3164no—
2109D4—3164no—
2110D4—1588no—
2111D4—1588no—
2112D4—1588no—
2113D4—1588no—
2114D4—1588no—
2115D4—1588no—
2116D4—1588no—
2117D4—1588no—
2118D4—1588no—
2119D4—1588no—
2120D4—1588no—
2121D4—1588no—
2122C2×C4—24no—
2123C2×C4—24no—
2124C2×C4—41no—
2125C2×C4—42no—
2126C2×C4—41no—
2127C2×C4—41no—
2128C2×C4—42no—
2129C2×C4—41no—
2130C2×C4—44no—
2131C2×C4—42no—
2132C2×C4—42no—
2133C2×C4—42no—
2134C2×C4—44no—
2135C2×C4—3162no—
2136C2×C4—3162no—
2137C2×C4—3162no—
2138C2×C4—3162no—
2139C2×C4—3164no—
2140C2×C4—3164no—
2141C2×C4—3164no—
2142C2×C4—3164no—
2143C2×C4—3164no—
2144C2×C4—3164no—
2145C2×C4—3164no—
2146C2×C4—3164no—
2147C2×C4—3162no—
2148C2×C4—3162no—
2149C2×C4—3164no—
2150C2×C4—3162no—
2151C2×C4—3162no—
2152C2×C4—3162no—
2153C2×C4—794no—
2154C2×C4—792no—
2155C2×C4—794no—
2156C2×C4—794no—
2157C2×C4—794no—
2158C2×C4—794no—
2159C2×C4—792no—
2160C2×C4—1584no—
2161C2×C4—1584no—
2162C2×C4—1584no—
2163C2×C4—1584no—
2164C2×C4—1588no—
2165C2×C4—1588no—
2166C2×C4—1584no—
2167C2×C4—1584no—
2168C2×C4—1588no—
2169C2×C4—1582no—
2170C2×C4—1584no—
2171C2×C4C24×D7914yes—
2172C2×C4C24×D7912yes—
2173C2×C4C24×D7912yes—
2174C2×C4C24×D7914yes—
2175C2×C4C24×D7914yes—
2176C2×C4C24×D7912yes—
2177C2×C4C24×D7912yes—
2178C22—28no—
2179C22—21no—
2180C22—21no—
2181C22—21no—
2182C22—21no—
2183C22—21no—
2184C22—21no—
2185C22—24no—
2186C22—24no—
2187C22—22no—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—22no—
2192C22—22no—
2193C22—24no—
2194C22—84no—
2195C22—84no—
2196C22—82no—
2197C22—82no—
2198C22—162no—
2199C22—3164no—
2200C22—3168no—
2201C22—3168no—
2202C22—3164no—
2203C22—794no—
2204C22—6324no—
2205C22—6324no—
2206C22—6324no—
2207C22—6328no—
2208C22—1582no—
2209C22—1584no—
2210C22—1584no—
2211C22—1584no—
2212C22—1584no—
2213C22—1582no—
2214C22—1584no—
2215C22—1582no—
2216C22—1584no—
2217C22—1582no—
2218C22—1582no—
2219C22—12642no—
2220C22—12644no—
2221C22H(5,𝔽2)×D7912yes—
2222C22H(5,𝔽2)×D7912yes—
2223C22#1909939912yes—
2224C22C25×D7911yescharacteristic
2225C4—22no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—24no—
2230C4—24no—
2231C4—24no—
2232C4—794no—
2233C4—1582no—
2234C4—1584no—
2235C4—1584no—
2236C4—1584no—
2237C4—1584no—
2238C2—22no—
2239C2—22no—
2240C2—22no—
2241C2—42no—
2242C2—42no—
2243C2—44no—
2244C2—3162no—
2245C2—3164no—
2246C2—3164no—
2247C2—1584no—
2248C2C2×H(5,𝔽2)×D7911yescharacteristic
2249C2C2×H(5,𝔽2)×D7911yescharacteristic
2250C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3490C2
hypercenter#3490D79
hypocenterC79#62818
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #23777709C2semidirect
2. #23777701C2semidirect
3. #23777637C2semidirect
4. #23777632C2semidirect
5. #23777626C2semidirect
6. #23777621C2semidirect
7. #23777593C2semidirect
8. #23777582C2semidirect
9. #23777424C2semidirect
10. #23777422C2semidirect
11. #23777231C2semidirect
12. #23777160C2semidirect
13. #23777126C2semidirect
14. #23777101C2semidirect
15. #23777089C2semidirect
16. #23777083C2semidirect
17. #23777063C2semidirect
18. #23777033C2semidirect
19. #23777029C2semidirect
20. #23777029C2semidirect
21. #525×D79C2semidirect
22. C22×#14579134C2semidirect
23. C79×#3490C2semidirect
24. C2×#14579207C22semidirect
25. C2×#14579206C22semidirect
26. C2×#14579206C22semidirect
27. C2×#41×D79C22semidirect
28. C23×D316C22semidirect
29. C23×C22⋊D79C22semidirect
30. C23×C22⋊D79C22semidirect
31. C23×C4×D79C22semidirect
32. #19099310C22semidirect
33. #19099309C22semidirect
34. #19099309C22semidirect
35. #19099307C22semidirect
36. #19099304C22semidirect
37. #19099303C22semidirect
38. #19099302C22semidirect
39. #19099301C22semidirect
40. #19099276C22semidirect
41. #19099275C22semidirect
42. #19099272C22semidirect
43. #19099267C22semidirect
44. #19099264C22semidirect
45. #19099264C22semidirect
46. #19099264C22semidirect
47. #19099263C22semidirect
48. #19099262C22semidirect
49. #19099262C22semidirect
50. #19099258C22semidirect
51. #19099258C22semidirect
52. #19099257C22semidirect
53. #19099256C22semidirect
54. #19099250C22semidirect
55. #19099246C22semidirect
56. #19099242C22semidirect
57. #19099240C22semidirect
58. #19099239C22semidirect
59. #19099239C22semidirect
60. #19099237C22semidirect
61. #19099236C22semidirect
62. #19099234C22semidirect
63. #19099231C22semidirect
64. #19099223C22semidirect
65. #19099221C22semidirect
66. #19099215C22semidirect
67. #19099212C22semidirect
68. #19099211C22semidirect
69. #19099211C22semidirect
70. #19099209C22semidirect
71. #19099209C22semidirect
72. #19099209C22semidirect
73. #19099208C22semidirect
74. #19099206C22semidirect
75. #19099205C22semidirect
76. #19099205C22semidirect
77. #19099204C22semidirect
78. #19099204C22semidirect
79. #19099203C22semidirect
80. #19099203C22semidirect
81. #19099203C22semidirect
82. #19099203C22semidirect
83. #19099203C22semidirect
84. #19099203C22semidirect
85. #19099203C22semidirect
86. #19099203C22semidirect
87. #19099202C22semidirect
88. #19099202C22semidirect
89. #19099201C22semidirect
90. #19099200C22semidirect
91. #19099200C22semidirect
92. #19099200C22semidirect
93. #19099200C22semidirect
94. D4×D316C22semidirect
95. D4×D316C22semidirect
96. #19099197C22semidirect
97. #19099197C22semidirect
98. #19099197C22semidirect
99. D4×C22⋊D79C22semidirect
100. D4×C22⋊D79C22semidirect
101. D4×C22⋊D79C22semidirect
102. D4×C22⋊D79C22semidirect
103. #19099195C22semidirect
104. #19099195C22semidirect
105. #19099195C22semidirect
106. #19099195C22semidirect
107. #19099195C22semidirect
108. #19099192C22semidirect
109. #19099189C22semidirect
110. #19099188C22semidirect
111. #19099183C22semidirect
112. #19099179C22semidirect
113. #19099168C22semidirect
114. #19099165C22semidirect
115. #19099165C22semidirect
116. #19099165C22semidirect
117. #19099164C22semidirect
118. #19099163C22semidirect
119. #19099162C22semidirect
120. #19099159C22semidirect
121. #19099158C22semidirect
122. #19099155C22semidirect
123. #19099154C22semidirect
124. #19099153C22semidirect
125. #19099152C22semidirect
126. #19099151C22semidirect
127. #19099151C22semidirect
128. #19099151C22semidirect
129. #19099150C22semidirect
130. #19099149C22semidirect
131. #19099147C22semidirect
132. #19099147C22semidirect
133. #19099146C22semidirect
134. #19099146C22semidirect
135. #19099143C22semidirect
136. #19099143C22semidirect
137. #19099142C22semidirect
138. #19099140C22semidirect
139. #19099140C22semidirect
140. #19099132C22semidirect
141. #19099131C22semidirect
142. #19099128C22semidirect
143. #19099128C22semidirect
144. #19099128C22semidirect
145. #19099127C22semidirect
146. #19099125C22semidirect
147. #19099125C22semidirect
148. #19099125C22semidirect
149. #19099124C22semidirect
150. #19099124C22semidirect
151. #19099124C22semidirect
152. #19099123C22semidirect
153. #19099123C22semidirect
154. #19099123C22semidirect
155. #19099122C22semidirect
156. #19099122C22semidirect
157. #19099121C22semidirect
158. #19099112C22semidirect
159. #19099110C22semidirect
160. #19099096C22semidirect
161. #19099091C22semidirect
162. #19099076C22semidirect
163. #19099076C22semidirect
164. #19099075C22semidirect
165. #19099074C22semidirect
166. #19099074C22semidirect
167. #19099073C22semidirect
168. #19099073C22semidirect
169. #19099072C22semidirect
170. #19099072C22semidirect
171. #19099072C22semidirect
172. #19099071C22semidirect
173. #19099071C22semidirect
174. #19099070C22semidirect
175. #19099069C22semidirect
176. #19099069C22semidirect
177. #123×D79C22semidirect
178. C22⋊Q8×D79C22semidirect
179. C22⋊Q8×D79C22semidirect
180. C2×#14579134C22semidirect
181. C2×#14579134C22semidirect
182. C2×#14579134C22semidirect
183. C2×#14579134C22semidirect
184. C2×#14579134C22semidirect
185. C2×#14579134C22semidirect
186. C2×#14579134C22semidirect
187. C2×#14579134C22semidirect
188. C2×#14579134C22semidirect
189. #121×D79C22semidirect
190. #121×D79C22semidirect
191. #121×D79C22semidirect
192. C2×#14579130C22semidirect
193. #120×D79C22semidirect
194. #120×D79C22semidirect
195. #19099042C22semidirect
196. #19099037C22semidirect
197. #19099036C22semidirect
198. #19099036C22semidirect
199. #19099036C22semidirect
200. #19099035C22semidirect
201. C4×D4×D79C22semidirect
202. C4×D4×D79C22semidirect
203. #117×D79C22semidirect
204. C22×Dic79⋊C4C22semidirect
205. C22×(C2×D79)⋊C4C22semidirect
206. #551×C79C22semidirect
207. #551×C79C22semidirect
208. #546×C79C22semidirect
209. #546×C79C22semidirect
210. #543×C79C22semidirect
211. #538×C79C22semidirect
212. #538×C79C22semidirect
213. #534×C79C22semidirect
214. #525×C79C22semidirect
215. #525×C79C22semidirect
216. C2×#120×C79C22semidirect
217. #518×C79C22semidirect
218. C22×C22⋊C4×C79C22semidirect
224. C2×#11929625C23semidirect
225. C2×#11929625C23semidirect
228. C2×#11929624C23semidirect
229. C2×#11929624C23semidirect
230. C2×#11929624C23semidirect
231. C2×#11929624C23semidirect
234. C2×#11929623C23semidirect
235. C2×#11929623C23semidirect
236. C2×#11929623C23semidirect
238. C2×Q8×D79C23semidirect
245. C22×D316C23semidirect
261. C22×C22⋊D79C23semidirect
262. C22×C22⋊D79C23semidirect
269. C2×D4×D79C23semidirect
270. C2×D4×D79C23semidirect
271. C2×D4×D79C23semidirect
272. C2×D4×D79C23semidirect
282. C22×C4×D79C23semidirect
283. #14579160C23semidirect
284. #14579159C23semidirect
285. #14579158C23semidirect
286. #14579157C23semidirect
287. #14579157C23semidirect
288. #14579157C23semidirect
289. #14579157C23semidirect
290. #14579157C23semidirect
291. #14579156C23semidirect
292. #14579156C23semidirect
293. #14579156C23semidirect
294. #14579156C23semidirect
295. #14579155C23semidirect
296. #14579155C23semidirect
297. #14579154C23semidirect
298. #14579154C23semidirect
299. #14579154C23semidirect
300. #14579154C23semidirect
301. #14579153C23semidirect
302. #14579152C23semidirect
303. #14579151C23semidirect
304. #14579151C23semidirect
305. #14579151C23semidirect
306. #14579151C23semidirect
307. #14579150C23semidirect
308. #14579150C23semidirect
309. #14579149C23semidirect
310. #14579149C23semidirect
311. #14579147C23semidirect
312. #14579147C23semidirect
313. #14579147C23semidirect
314. #14579147C23semidirect
315. #14579147C23semidirect
316. #14579147C23semidirect
317. #14579147C23semidirect
318. #14579147C23semidirect
319. #14579146C23semidirect
320. #14579146C23semidirect
321. #14579146C23semidirect
322. #14579146C23semidirect
323. #14579146C23semidirect
324. #14579146C23semidirect
325. #14579146C23semidirect
326. #14579146C23semidirect
327. #14579146C23semidirect
328. #14579146C23semidirect
331. #14579145C23semidirect
332. #14579145C23semidirect
333. #14579145C23semidirect
334. #14579145C23semidirect
337. #14579144C23semidirect
338. #14579144C23semidirect
339. #14579144C23semidirect
340. #14579144C23semidirect
341. #14579143C23semidirect
342. #14579143C23semidirect
343. #14579143C23semidirect
344. #14579143C23semidirect
345. #14579143C23semidirect
346. #14579143C23semidirect
347. #14579143C23semidirect
348. #14579143C23semidirect
349. #14579143C23semidirect
350. #14579143C23semidirect
353. #14579142C23semidirect
354. #14579141C23semidirect
355. #14579141C23semidirect
356. #14579141C23semidirect
361. #14579140C23semidirect
362. #14579139C23semidirect
363. #14579139C23semidirect
364. #14579139C23semidirect
365. #14579139C23semidirect
366. #14579139C23semidirect
367. #14579139C23semidirect
372. #14579138C23semidirect
373. #14579138C23semidirect
374. #14579138C23semidirect
375. #14579138C23semidirect
376. #14579137C23semidirect
377. #14579137C23semidirect
378. #14579137C23semidirect
379. #14579137C23semidirect
380. #14579136C23semidirect
381. #14579136C23semidirect
382. #14579136C23semidirect
383. #14579136C23semidirect
384. #14579136C23semidirect
385. #14579136C23semidirect
386. #14579136C23semidirect
387. #14579136C23semidirect
388. #14579136C23semidirect
393. #14579135C23semidirect
394. #14579135C23semidirect
395. #14579135C23semidirect
396. #14579135C23semidirect
397. #14579135C23semidirect
398. #14579135C23semidirect
399. #14579135C23semidirect
416. #14579134C23semidirect
417. #14579134C23semidirect
418. #14579134C23semidirect
419. #14579134C23semidirect
420. #14579134C23semidirect
421. #14579134C23semidirect
422. #14579134C23semidirect
423. #14579134C23semidirect
424. #14579134C23semidirect
425. #14579134C23semidirect
426. #14579134C23semidirect
427. #14579134C23semidirect
428. #14579134C23semidirect
429. #14579134C23semidirect
430. #14579134C23semidirect
431. #14579134C23semidirect
432. #14579134C23semidirect
433. #14579134C23semidirect
438. #14579133C23semidirect
439. #14579133C23semidirect
440. #14579133C23semidirect
441. #14579133C23semidirect
442. #14579133C23semidirect
443. #14579133C23semidirect
444. #14579133C23semidirect
445. #14579133C23semidirect
446. #14579133C23semidirect
447. #14579133C23semidirect
448. #14579132C23semidirect
449. #14579132C23semidirect
450. #14579132C23semidirect
451. #14579132C23semidirect
452. #14579132C23semidirect
453. #14579132C23semidirect
460. #14579131C23semidirect
461. #14579131C23semidirect
462. #14579131C23semidirect
463. #14579131C23semidirect
464. #14579131C23semidirect
465. #14579131C23semidirect
466. #14579131C23semidirect
467. #14579131C23semidirect
472. #14579130C23semidirect
473. #14579130C23semidirect
480. #14579129C23semidirect
481. #14579129C23semidirect
482. #14579129C23semidirect
483. #14579129C23semidirect
484. #14579129C23semidirect
485. C4×Dic158C23semidirect
486. #14579126C23semidirect
487. C4×D316C23semidirect
488. C4×D316C23semidirect
489. C4×D316C23semidirect
490. C4×D316C23semidirect
491. C4×D316C23semidirect
496. #14579123C23semidirect
497. #14579123C23semidirect
498. #14579123C23semidirect
499. #14579123C23semidirect
500. #14579123C23semidirect
505. C4×C22⋊D79C23semidirect
506. C4×C22⋊D79C23semidirect
507. C4×C22⋊D79C23semidirect
508. C4×C22⋊D79C23semidirect
509. C4×C22⋊D79C23semidirect
510. C4×C22⋊D79C23semidirect
511. C4×C22⋊D79C23semidirect
512. C4×C22⋊D79C23semidirect
517. (C22⋊D79)⋊C4C23semidirect
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
529. #14579119C23semidirect
530. #14579119C23semidirect
531. #14579119C23semidirect
532. #14579118C23semidirect
533. #14579118C23semidirect
534. #14579118C23semidirect
537. #14579117C23semidirect
538. #14579117C23semidirect
544. C2×Dic79⋊C4C23semidirect
545. C4⋊C4×D79C23semidirect
546. C4⋊C4×D79C23semidirect
547. C4⋊C4×D79C23semidirect
548. C4⋊C4×D79C23semidirect
549. C4⋊C4×D79C23semidirect
557. C2×(C2×D79)⋊C4C23semidirect
564. C22⋊C4×D79C23semidirect
565. C22⋊C4×D79C23semidirect
566. C22⋊C4×D79C23semidirect
567. C22⋊C4×D79C23semidirect
568. C42×D79C23semidirect
577. #126×C79C23semidirect
578. #126×C79C23semidirect
579. #124×C79C23semidirect
580. #124×C79C23semidirect
583. #123×C79C23semidirect
584. #123×C79C23semidirect
585. #123×C79C23semidirect
590. C22⋊Q8×C79C23semidirect
591. C22⋊Q8×C79C23semidirect
596. #121×C79C23semidirect
597. #121×C79C23semidirect
602. #120×C79C23semidirect
607. C4×D4×C79C23semidirect
608. C4×D4×C79C23semidirect
611. #117×C79C23semidirect
621. C2×C22⋊C4×C79C23semidirect
943. C22×D79H(5,𝔽2)semidirect
1011. C2×Dic79H(5,𝔽2)semidirect
1142. #3490D79semidirect
1149. C79#62818semidirect
1188. #551C2×D79semidirect
1189. #551C2×D79semidirect
1222. #546C2×D79semidirect
1223. #546C2×D79semidirect
1241. #543C2×D79semidirect
1266. #538C2×D79semidirect
1267. #538C2×D79semidirect
1291. #534C2×D79semidirect
1311. #525C2×D79semidirect
1312. #525C2×D79semidirect
1331. C2×#120C2×D79semidirect
1338. #518C2×D79semidirect
1344. C22×C22⋊C4C2×D79semidirect
1435. #126C22×D79semidirect
1436. #126C22×D79semidirect
1455. #124C22×D79semidirect
1456. #124C22×D79semidirect
1494. #123C22×D79semidirect
1495. #123C22×D79semidirect
1496. #123C22×D79semidirect
1527. C22⋊Q8C22×D79semidirect
1528. C22⋊Q8C22×D79semidirect
1607. #121C22×D79semidirect
1608. #121C22×D79semidirect
1644. #120C22×D79semidirect
1691. C4×D4C22×D79semidirect
1692. C4×D4C22×D79semidirect
1707. #117C22×D79semidirect
1746. C2×C22⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237777092
#237777012
#237776372
#237776322
#237776262
#237776212
#237775932
#237775822
#237774242
#237774222
#237772312
#237771602
#237771262
#237771012
#237770892
#237770832
#237770632
#237770332
#237770292
#525×D792
C22×#145791342
C79×#34902
#6281879