Finite Group Databasebeta

← #35196414

Subgroups — #35196414

Order 20224.

7230 conjugacy classes of subgroups.

The subgroup lattice has 2414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777460C214yesmaximal, complemented
2#23777454C214yesmaximal, complemented
3#23777372C212yesmaximal, complemented
4#23777366C212yesmaximal, complemented
5#23777355C212yesmaximal, complemented
6#23777349C212yesmaximal, complemented
7#23777256C212yesmaximal, complemented
8#23777241C211yesmaximal, characteristic, complemented
9#23777235C212yesmaximal, complemented
10#23777234C211yesmaximal, characteristic, complemented
11#23777196C211yesmaximal, characteristic, complemented
12#23777157C211yesmaximal, characteristic, complemented
13#23777112C212yesmaximal, complemented
14#23777096C212yesmaximal, complemented
15#23777092C212yesmaximal, complemented
16#23777038C212yesmaximal, complemented
17#23777017C212yesmaximal, complemented
18#23777013C212yesmaximal, complemented
19#23777006C212yesmaximal, complemented
20#23777004C212yesmaximal, complemented
21#23776954C214yesmaximal, complemented
22#23776952C214yesmaximal, complemented
23#23776829C212yesmaximal, complemented
24#23776810C212yesmaximal, complemented
25#23776809C212yesmaximal, complemented
26#23776694C212yesmaximal, complemented
27C2×#19099097C211yesmaximal, characteristic, complemented
28#529×D79C212yesmaximal, complemented
29C4×#14579206C212yesmaximal, complemented
30C2×C4×#11929624C211yesmaximal, characteristic, complemented
31C2×#529×C79C211yesmaximal, characteristic, complemented
32C2×#14579206C2212yes—
33C22×#11929624C2211yescharacteristic
34#19099296C2212yescomplemented
35#19099295C2212yescomplemented
36#19099290C2212yescomplemented
37#19099289C2212yescomplemented
38#19099285C2212yescomplemented
39#19099285C2214yescomplemented
40#19099282C2212yescomplemented
41#19099281C2214yescomplemented
42#19099280C2214yescomplemented
43#19099280C2214yescomplemented
44#19099276C2214yescomplemented
45#19099275C2214yescomplemented
46#19099272C2212yescomplemented
47#19099271C2212yescomplemented
48#19099269C2212yescomplemented
49#19099268C2212yescomplemented
50#19099268C2214yescomplemented
51#19099267C2214yescomplemented
52#19099266C2212yescomplemented
53#19099265C2212yescomplemented
54#19099264C2214yescomplemented
55#19099264C2214yescomplemented
56#19099263C2212yescomplemented
57#19099262C2214yescomplemented
58#19099261C2212yescomplemented
59#19099261C2214yescomplemented
60#19099257C2214yescomplemented
61#19099256C2214yescomplemented
62#19099255C2212yescomplemented
63#19099254C2214yescomplemented
64#19099254C2212yescomplemented
65#19099252C2214yescomplemented
66#19099251C2212yescomplemented
67#19099250C2214yescomplemented
68#19099250C2214yescomplemented
69#19099249C2214yescomplemented
70#19099249C2214yescomplemented
71#19099248C2214yescomplemented
72#19099248C2214yescomplemented
73#19099248C2212yescomplemented
74#19099246C2214yescomplemented
75#19099246C2214yescomplemented
76#19099245C2214yescomplemented
77#19099245C2214yescomplemented
78#19099243C2214yescomplemented
79#19099242C2214yescomplemented
80#19099240C2214yescomplemented
81#19099239C2214yescomplemented
82#19099239C2214yescomplemented
83#19099239C2214yescomplemented
84#19099238C2214yescomplemented
85#19099238C2214yescomplemented
86#19099237C2214yescomplemented
87#19099237C2214yescomplemented
88#19099236C2214yescomplemented
89#19099236C2214yescomplemented
90Q8×C22⋊D79C2212yescomplemented
91#19099226C2212yescomplemented
92#19099225C2212yescomplemented
93#19099224C2212yescomplemented
94#19099221C2212yescomplemented
95#19099219C2212yescomplemented
96#19099214C2214yescomplemented
97#19099214C2214yescomplemented
98#19099214C2212yescomplemented
99#19099213C2212yescomplemented
100#19099211C2214yescomplemented
101#19099211C2214yescomplemented
102#19099208C2212yescomplemented
103#19099207C2212yescomplemented
104#19099206C2212yescomplemented
105#19099205C2214yescomplemented
106#19099205C2214yescomplemented
107#19099204C2212yescomplemented
108#19099203C2214yescomplemented
109#19099203C2214yescomplemented
110#19099203C2214yescomplemented
111#19099202C2214yescomplemented
112#19099197C2212yescomplemented
113D4×C22⋊D79C2212yescomplemented
114#19099192C2212yescomplemented
115#19099189C2212yescomplemented
116#19099188C2212yescomplemented
117#19099179C2214yescomplemented
118#19099177C2214yescomplemented
119#19099172C2214yescomplemented
120#19099170C2214yescomplemented
121#19099162C2212yescomplemented
122#19099161C2214yescomplemented
123#19099160C2214yescomplemented
124#19099158C2212yescomplemented
125#19099157C2214yescomplemented
126#19099157C2214yescomplemented
127#19099155C2214yescomplemented
128#19099155C2214yescomplemented
129#19099154C2214yescomplemented
130#19099153C2212yescomplemented
131#19099152C2214yescomplemented
132#19099151C2214yescomplemented
133#19099150C2212yescomplemented
134#19099147C2214yescomplemented
135#19099146C2214yescomplemented
136#19099146C2214yescomplemented
137#19099140C2212yes—
138#19099135C2214yescomplemented
139#19099125C2212yescomplemented
140#19099124C2214yescomplemented
141#19099122C2212yes—
142#19099122C2212yescomplemented
143#19099121C2212yes—
144#19099119C2212yescomplemented
145#19099117C2214yescomplemented
146#19099117C2212yescomplemented
147#19099116C2214yescomplemented
148#19099115C2212yescomplemented
149#19099112C2212yescomplemented
150#19099110C2212yescomplemented
151#19099108C2212yes—
152#19099100C2214yescomplemented
153#19099100C2212yescomplemented
154#19099099C2212yescomplemented
155#19099098C2212yescomplemented
156#19099098C2212yescomplemented
157#19099097C2214yescomplemented
158#19099097C2212yescomplemented
159#19099097C2212yescomplemented
160#19099097C2212yescomplemented
161#19099097C2212yescomplemented
162#19099097C2212yescomplemented
163#19099097C2212yescomplemented
164#19099097C2212yescomplemented
165#19099097C2212yescomplemented
166#19099096C2214yescomplemented
167#19099096C2214yescomplemented
168#19099096C2214yescomplemented
169#19099095C2212yescomplemented
170#19099094C2212yescomplemented
171#19099093C2214yescomplemented
172#19099093C2214yescomplemented
173#19099093C2214yescomplemented
174#19099092C2212yescomplemented
175#19099092C2212yescomplemented
176#19099091C2214yescomplemented
177#19099091C2214yescomplemented
178#19099091C2214yescomplemented
179#19099091C2214yescomplemented
180#19099090C2214yescomplemented
181#19099090C2214yescomplemented
182C2×#14579155C2212yescomplemented
183#126×D79C2214yescomplemented
184C2×#14579153C2211yescharacteristic, complemented
185#125×D79C2212yescomplemented
186C2×#14579149C2211yescharacteristic, complemented
187#124×D79C2212yescomplemented
188#19099076C2212yescomplemented
189#19099075C2214yescomplemented
190#19099074C2214yescomplemented
191#19099073C2212yescomplemented
192#19099072C2214yescomplemented
193#19099072C2214yescomplemented
194#19099072C2214yescomplemented
195#19099071C2214yescomplemented
196C2×#14579144C2212yescomplemented
197#123×D79C2214yescomplemented
198C2×#14579140C2211yescharacteristic, complemented
199C22⋊Q8×D79C2212yescomplemented
200C2×#14579135C2211yescharacteristic
201#121×D79C2212yes—
202#19099044C2214yescomplemented
203#19099042C2214yescomplemented
204#19099042C2214yescomplemented
205#19099038C2212yescomplemented
206#19099036C2212yes—
207#19099036C2212yescomplemented
208#19099036C2214yescomplemented
209#19099035C2214yescomplemented
210#19099035C2214yescomplemented
211C4×#11929625C2212yescomplemented
212C4×#11929624C2212yescomplemented
213C4×#11929624C2212yescomplemented
214C4×#11929624C2212yescomplemented
215C4×#11929624C2212yescomplemented
216C4×#11929624C2212yescomplemented
217C4×#11929624C2212yescomplemented
218C4×#11929624C2212yescomplemented
219C4×#11929624C2212yescomplemented
220C4×#11929624C2214yescomplemented
221#19099031C2214yescomplemented
222C4×#11929623C2214yescomplemented
223C4×#11929623C2214yescomplemented
224C4×#11929623C2212yescomplemented
225C2×C4×Dic158C2211yescharacteristic, complemented
226C2×C4×Dic158C2211yescharacteristic, complemented
227C2×C4×Dic158C2211yescharacteristic, complemented
228C4×Q8×D79C2212yescomplemented
229C2×C4×D316C2211yescharacteristic, complemented
230C2×C4×D316C2211yescharacteristic, complemented
231C2×C4×D316C2211yescharacteristic, complemented
232C2×C4×C22⋊D79C2211yescharacteristic
233C2×C4×C22⋊D79C2211yescharacteristic
234C2×C4×C22⋊D79C2211yescharacteristic, complemented
235C2×C4×C22⋊D79C2212yescomplemented
236C2×C4×C22⋊D79C2211yescharacteristic, complemented
237C2×C4×C22⋊D79C2214yescomplemented
238C4×D4×D79C2214yescomplemented
239C4×D4×D79C2214yescomplemented
240C4×D4×D79C2212yescomplemented
241C2×#14579120C2211yescharacteristic, complemented
242C2×#14579118C2211yescharacteristic, complemented
243C2×#14579118C2211yescharacteristic, complemented
244C2×#14579118C2212yescomplemented
245#117×D79C2214yescomplemented
246C2×C42×D79C2211yescharacteristic, complemented
247C2×C42×D79C2211yescharacteristic, complemented
248#529×C79C2212yescomplemented
249#529×C79C2212yescomplemented
250#529×C79C2212yescomplemented
251#529×C79C2212yescomplemented
252#529×C79C2212yescomplemented
253#529×C79C2212yescomplemented
254#529×C79C2212yescomplemented
255#529×C79C2212yescomplemented
256C2×#126×C79C2212yescomplemented
257C2×#125×C79C2211yescharacteristic, complemented
258C2×#124×C79C2211yescharacteristic, complemented
259C2×#123×C79C2212yescomplemented
260C2×C22⋊Q8×C79C2211yescharacteristic, complemented
261C2×#121×C79C2211yescharacteristic
262C2×C4×Q8×C79C2211yescharacteristic, complemented
263C2×C4×D4×C79C2212yescomplemented
264C2×C4×D4×C79C2211yescharacteristic, complemented
265C2×#117×C79C2212yescomplemented
266C22×C42×C79C2211yescharacteristic, complemented
267#14579206—216no—
268C2×#11929625C2312yes—
269C2×#11929624—28no—
270C2×#11929624C2314yes—
271C2×#11929624C2312yes—
272C2×#11929624C2312yes—
273C2×#11929624C2312yes—
274C2×#11929624C2312yes—
275C2×#11929624C2314yes—
276C2×#11929623C2314yes—
277C2×#11929623C2314yes—
278C2×#11929623C2312yes—
279C22×Dic158C2311yescharacteristic
280C22×Dic158C2311yescharacteristic
281C2×Q8×D79C2312yes—
282C22×D316C2311yescharacteristic
283C22×D316C2311yescharacteristic
284C22×C22⋊D79C2314yes—
285C22×C22⋊D79C2312yes—
286C22×C22⋊D79C2311yescharacteristic
287C22×C22⋊D79C2311yescharacteristic
288C2×D4×D79C2314yes—
289C2×D4×D79C2314yes—
290C2×D4×D79C2312yes—
291C22×C4×D79C2311yescharacteristic
292C22×C4×D79C2311yescharacteristic
293C22×C4×D79C2311yescharacteristic
294C22×C4×D79C2311yescharacteristic
295C22×C4×D79C2311yescharacteristic
296C22×C4×D79C2311yescharacteristic
297C22×C4×D79C2314yes—
298C22×C4×D79C2312yes—
299#14579160C2314yes—
300#14579160C2314yes—
301#14579160C2314yes—
302#14579160C2312yes—
303#14579160C2312yes—
304#14579159C2314yes—
305#14579159C2312yes—
306#14579157C2312yes—
307#14579156C2314yes—
308#14579156C2314yes—
309#14579156C2314yes—
310#14579156C2314yes—
311#14579156C2314yes—
312#14579156C2314yes—
313#14579156C2314yes—
314#14579156C2314yes—
315#14579156C2314yes—
316#14579156C2314yes—
317#14579155C2314yes—
318#14579155C2314yes—
319#14579155C2314yes—
320#14579155C2314yes—
321#14579155C2314yes—
322#14579155C2314yes—
323#14579154C2314yes—
324#14579154C2314yes—
325#14579154C2314yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579154C2314yes—
329#14579154C2314yes—
330#14579154C2314yes—
331#14579153C2312yes—
332#14579153C2314yes—
333#14579153C2312yes—
334#14579153C2312yes—
335#14579153C2312yes—
336#14579152C2314yes—
337#14579152C2314yes—
338#14579152C2314yes—
339#14579152C2312yes—
340#14579152C2312yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579151C2314yes—
351#14579150C2314yes—
352#14579150C2312yes—
353#14579149C2314yes—
354#14579149C2312yes—
355#14579149C2312yes—
356#14579149C2312yes—
357#14579149C2312yes—
358#14579148C2312yes—
359#14579147C2314yes—
360#14579147C2314yes—
361#14579147C2314yes—
362#14579147C2314yes—
363#14579147C2314yes—
364#14579147C2314yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579146C2314yes—
368#14579146C2314yes—
369#14579146C2314yes—
370#14579146C2314yes—
371#14579146C2314yes—
372#14579146C2314yes—
373#14579146C2314yes—
374#14579146C2314yes—
375#14579146C2314yes—
376#14579146C2314yes—
377#14579145C2314yes—
378#14579145C2314yes—
379#14579145C2314yes—
380#14579145C2314yes—
381#14579145C2314yes—
382#14579144C2314yes—
383#14579144C2314yes—
384#14579144C2314yes—
385#14579144C2314yes—
386#14579144C2314yes—
387#14579144C2314yes—
388#14579144C2314yes—
389#14579144C2314yes—
390#14579143C2314yes—
391#14579143C2314yes—
392#14579143C2314yes—
393#14579143C2314yes—
394#14579143C2314yes—
395#14579143C2314yes—
396#14579143C2314yes—
397#14579143C2314yes—
398#14579142C2314yes—
399#14579142C2314yes—
400#14579142C2314yes—
401#14579141C2314yes—
402#14579141C2314yes—
403#14579141C2314yes—
404#14579141C2312yes—
405#14579141C2312yes—
406#14579140C2312yes—
407#14579140C2314yes—
408#14579140C2314yes—
409#14579140C2314yes—
410#14579140C2312yes—
411#14579140C2312yes—
412#14579140C2312yes—
413#14579139C2314yes—
414#14579139C2314yes—
415#14579139C2314yes—
416#14579139C2314yes—
417#14579139C2314yes—
418#14579139C2314yes—
419#14579139C2314yes—
420#14579139C2314yes—
421#14579139C2314yes—
422#14579139C2314yes—
423#14579138C2314yes—
424#14579138C2314yes—
425#14579138C2314yes—
426#14579138C2314yes—
427#14579138C2314yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579138C2314yes—
431#14579138C2314yes—
432#14579138C2314yes—
433#14579137C2314yes—
434#14579137C2314yes—
435#14579137C2312yes—
436#14579137C2312yes—
437#14579136C2314yes—
438#14579136C2314yes—
439#14579136C2314yes—
440#14579136C2312yes—
441#14579136C2312yes—
442#14579135C2312yes—
443#14579135C2314yes—
444#14579135C2314yes—
445#14579135C2314yes—
446#14579135C2312yes—
447#14579135C2312yes—
448#14579135C2312yes—
449#14579134C2314yes—
450#14579134C2314yes—
451#14579134C2314yes—
452#14579134C2314yes—
453#14579134C2314yes—
454#14579134C2314yes—
455#14579134C2314yes—
456#14579134C2314yes—
457#14579133C2314yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2314yes—
461#14579133C2314yes—
462#14579133C2314yes—
463#14579132C2312yes—
464#14579132C2312yes—
465#14579131C2314yes—
466#14579131C2314yes—
467#14579131C2314yes—
468#14579131C2314yes—
469#14579131C2314yes—
470#14579130C2314yes—
471#14579130C2314yes—
472#14579129C2314yes—
473#14579129C2314yes—
474#14579129C2314yes—
475Q8×Dic79C2312yes—
476Q8×Dic79C2312yes—
477C4×Dic158C2312yes—
478C4×Dic158C2312yes—
479C4×Dic158C2312yes—
480C4×Dic158C2312yes—
481C4×Dic158C2314yes—
482C4×Dic158C2312yes—
483C4×Dic158C2312yes—
484C4×Dic158C2312yes—
485C4×Dic158C2312yes—
486C4×Dic158C2312yes—
487C4×Dic158C2314yes—
488C4×Dic158C2312yes—
489C4×Dic158C2312yes—
490C4×Dic158C2312yes—
491C4×Dic158C2314yes—
492#14579126C2314yes—
493#14579126C2312yes—
494#14579126C2312yes—
495#14579126C2314yes—
496#14579126C2314yes—
497#14579126C2314yes—
498#14579126C2314yes—
499C4×D316C2312yes—
500C4×D316C2312yes—
501C4×D316C2312yes—
502C4×D316C2312yes—
503C4×D316C2312yes—
504C4×D316C2314yes—
505C4×D316C2312yes—
506C4×D316C2312yes—
507C4×D316C2312yes—
508C4×D316C2314yes—
509C4×D316C2312yes—
510C4×D316C2312yes—
511C4×D316C2312yes—
512C4×D316C2312yes—
513C4×D316C2314yes—
514D4×Dic79C2314yes—
515D4×Dic79C2314yes—
516D4×Dic79C2312yes—
517D4×Dic79C2312yes—
518D4×Dic79C2314yes—
519D4×Dic79C2314yes—
520#14579123C2314yes—
521#14579123C2312yes—
522#14579123C2312yes—
523#14579123C2314yes—
524#14579123C2314yes—
525#14579123C2314yes—
526#14579123C2314yes—
527C4×C22⋊D79C2312yes—
528C4×C22⋊D79C2314yes—
529C4×C22⋊D79C2312yes—
530C4×C22⋊D79C2314yes—
531C4×C22⋊D79C2312yes—
532C4×C22⋊D79C2312yes—
533C4×C22⋊D79C2312yes—
534C4×C22⋊D79C2312yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2312yes—
538C4×C22⋊D79C2312yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2312yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2312yes—
543C4×C22⋊D79C2314yes—
544C4×C22⋊D79C2314yes—
545C4×C22⋊D79C2312yes—
546C4×C22⋊D79C2314yes—
547C4×C22⋊D79C2314yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2314yes—
550C4×C22⋊D79C2312yes—
551C4×C22⋊D79C2312yes—
552C4×C22⋊D79C2312yes—
553C4×C22⋊D79C2314yes—
554C4×C22⋊D79C2312yes—
555C4×C22⋊D79C2312yes—
556C4×C22⋊D79C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562(C22⋊D79)⋊C4C2314yes—
563(C22⋊D79)⋊C4C2314yes—
564(C22⋊D79)⋊C4C2314yes—
565(C22⋊D79)⋊C4C2314yes—
566(C22⋊D79)⋊C4C2314yes—
567(C22⋊D79)⋊C4C2314yes—
568(C22⋊D79)⋊C4C2314yes—
569(C22⋊D79)⋊C4C2314yes—
570(C22⋊D79)⋊C4C2314yes—
571#14579120C2312yes—
572#14579120C2312yes—
573#14579120C2312yes—
574#14579120C2312yes—
575#14579120C2314yes—
576#14579120C2314yes—
577#14579119C2314yes—
578#14579119C2314yes—
579#14579119C2314yes—
580#14579119C2314yes—
581#14579119C2314yes—
582#14579119C2312yes—
583#14579119C2312yes—
584#14579118C2312yes—
585#14579118C2314yes—
586#14579118C2312yes—
587#14579118C2314yes—
588#14579118C2312yes—
589#14579118C2312yes—
590#14579118C2314yes—
591#14579118C2312yes—
592#14579118C2312yes—
593#14579118C2314yes—
594#14579118C2312yes—
595#14579118C2312yes—
596#14579118C2314yes—
597#14579118C2314yes—
598#14579118C2314yes—
599#14579118C2314yes—
600#14579117C2314yes—
601#14579117C2314yes—
602#14579117C2314yes—
603#14579117C2314yes—
604#14579117C2314yes—
605#14579117C2314yes—
606#14579117C2314yes—
607C2×C4⋊Dic79C2311yescharacteristic
608C2×C4⋊Dic79C2311yescharacteristic
609C2×C4⋊Dic79C2311yescharacteristic
610C2×C4⋊Dic79C2311yescharacteristic
611C2×Dic79⋊C4C2311yescharacteristic
612C2×Dic79⋊C4C2311yescharacteristic
613C2×Dic79⋊C4C2312yes—
614C2×Dic79⋊C4C2311yescharacteristic
615C2×Dic79⋊C4C2312yes—
616C2×Dic79⋊C4C2312yes—
617C2×Dic79⋊C4C2314yes—
618C2×Dic79⋊C4C2312yes—
619C2×Dic79⋊C4C2311yescharacteristic
620C4⋊C4×D79C2314yes—
621C4⋊C4×D79C2314yes—
622C4⋊C4×D79C2314yes—
623C4⋊C4×D79C2312yes—
624C4⋊C4×D79C2314yes—
625C4⋊C4×D79C2314yes—
626C4⋊C4×D79C2312yes—
627C2×C22⋊Dic79C2311yescharacteristic
628C2×C22⋊Dic79C2312yes—
629C2×C22⋊Dic79C2314yes—
630C2×C22⋊Dic79C2311yescharacteristic
631C2×(C2×D79)⋊C4C2311yescharacteristic
632C2×(C2×D79)⋊C4C2312yes—
633C2×(C2×D79)⋊C4C2311yescharacteristic
634C2×(C2×D79)⋊C4C2311yescharacteristic
635C2×(C2×D79)⋊C4C2312yes—
636C2×(C2×D79)⋊C4C2312yes—
637C2×(C2×D79)⋊C4C2312yes—
638C2×(C2×D79)⋊C4C2314yes—
639C2×(C2×D79)⋊C4C2311yescharacteristic
640C22⋊C4×D79C2314yes—
641C22⋊C4×D79C2314yes—
642C22⋊C4×D79C2314yes—
643C22⋊C4×D79C2314yes—
644C22⋊C4×D79C2314yes—
645C22⋊C4×D79C2314yes—
646C22⋊C4×D79C2314yes—
647C2×C4×Dic79C2311yescharacteristic
648C2×C4×Dic79C2311yescharacteristic
649C2×C4×Dic79C2311yescharacteristic
650C2×C4×Dic79C2311yescharacteristic
651C2×C4×Dic79C2311yescharacteristic
652C2×C4×Dic79C2311yescharacteristic
653C2×C4×Dic79C2312yes—
654C2×C4×Dic79C2314yes—
655C42×D79C2312yes—
656C42×D79C2312yes—
657C42×D79C2312yes—
658C42×D79C2312yes—
659C42×D79C2312yes—
660C42×D79C2312yes—
661C42×D79C2312yes—
662C42×D79C2312yes—
663C42×D79C2314yes—
664C42×D79C2314yes—
665C22×Q8×C79C2311yescharacteristic
666C22×D4×C79C2312yes—
667C22×D4×C79C2311yescharacteristic
668C23×C4×C79C2311yescharacteristic
669C23×C4×C79C2311yescharacteristic
670C23×C4×C79C2311yescharacteristic
671C23×C4×C79C2312yes—
672#126×C79C2314yes—
673#126×C79C2314yes—
674#126×C79C2314yes—
675#126×C79C2314yes—
676#125×C79C2312yes—
677#125×C79C2312yes—
678#125×C79C2312yes—
679#125×C79C2312yes—
680#124×C79C2312yes—
681#124×C79C2312yes—
682#124×C79C2312yes—
683#124×C79C2312yes—
684#123×C79C2314yes—
685#123×C79C2314yes—
686#123×C79C2314yes—
687#123×C79C2314yes—
688C22⋊Q8×C79C2312yes—
689C22⋊Q8×C79C2312yes—
690C22⋊Q8×C79C2312yes—
691C22⋊Q8×C79C2312yes—
692#121×C79C2312yes—
693#121×C79C2312yes—
694#121×C79C2312yes—
695#121×C79C2312yes—
696C4×Q8×C79C2312yes—
697C4×Q8×C79C2312yes—
698C4×Q8×C79C2312yes—
699C4×Q8×C79C2312yes—
700C4×D4×C79C2314yes—
701C4×D4×C79C2314yes—
702C4×D4×C79C2312yes—
703C4×D4×C79C2312yes—
704C4×D4×C79C2314yes—
705C4×D4×C79C2314yes—
706C4×D4×C79C2312yes—
707C4×D4×C79C2312yes—
708#117×C79C2314yes—
709#117×C79C2314yes—
710#117×C79C2314yes—
711#117×C79C2314yes—
712C2×C4⋊C4×C79C2312yes—
713C2×C4⋊C4×C79C2312yes—
714C2×C4⋊C4×C79C2311yescharacteristic
715C2×C4⋊C4×C79C2312yes—
716C2×C4⋊C4×C79C2312yes—
717C2×C4⋊C4×C79C2311yescharacteristic
718C2×C22⋊C4×C79C2312yes—
719C2×C22⋊C4×C79C2312yes—
720C2×C22⋊C4×C79C2312yes—
721C2×C22⋊C4×C79C2312yes—
722C2×C22⋊C4×C79C2312yes—
723C2×C42×C79C2311yescharacteristic
724C2×C42×C79C2311yescharacteristic
725C2×C42×C79C2311yescharacteristic
726C2×C42×C79C2311yescharacteristic
727C2×C42×C79C2311yescharacteristic
728C2×C42×C79C2311yescharacteristic
729C2×C42×C79C2311yescharacteristic
730C2×C42×C79C2311yescharacteristic
731C2×C42×C79C2311yescharacteristic
732C2×C42×C79C2311yescharacteristic
733C2×C42×C79C2311yescharacteristic
734C2×C42×C79C2311yescharacteristic
735C2×C42×C79C2312yes—
736C23×D79C2414yes—
737C23×D79C2412yes—
738C23×D79C2411yescharacteristic
739C23×D79C2411yescharacteristic
740#11929625—44no—
741#11929624—28no—
742#11929624—28no—
743#11929624—28no—
744#11929624—28no—
745#11929624—216no—
746#11929624—48no—
747#11929623—216no—
748#11929623—216no—
749#11929623—44no—
750C2×Dic158—24no—
751C2×Dic158—42no—
752C2×Dic158C2412yes—
753C2×Dic158C2412yes—
754C2×Dic158C2412yes—
755C2×Dic158C2414yes—
756C2×Dic158C2414yes—
757C2×Dic158C2412yes—
758C2×Dic158C2414yes—
759Q8×D79—44no—
760C2×D316—24no—
761C2×D316—42no—
762C2×D316C2412yes—
763C2×D316C2412yes—
764C2×D316C2414yes—
765C2×D316C2412yes—
766C2×D316C2414yes—
767C2×D316C2414yes—
768C2×D316C2412yes—
769C2×C22⋊D79—24no—
770C2×C22⋊D79—28no—
771C2×C22⋊D79—216no—
772C2×C22⋊D79#4118yescomplemented
773C2×C22⋊D79C2414yes—
774C2×C22⋊D79C2414yes—
775C2×C22⋊D79C2414yes—
776C2×C22⋊D79C2412yes—
777C2×C22⋊D79C2412yes—
778C2×C22⋊D79C2414yes—
779C2×C22⋊D79C2414yes—
780C2×C22⋊D79C2414yes—
781C2×C22⋊D79C2414yes—
782C2×C22⋊D79C2414yes—
783C2×C22⋊D79C2412yes—
784C2×C22⋊D79C2412yes—
785D4×D79—216no—
786D4×D79—216no—
787D4×D79—44no—
788C22×Dic79C2411yescharacteristic
789C22×Dic79C2412yes—
790C22×Dic79C2414yes—
791C22×Dic79C2412yes—
792C22×Dic79C2414yes—
793C22×Dic79C2411yescharacteristic
794C22×Dic79C2411yescharacteristic
795C22×Dic79C2411yescharacteristic
796C22×Dic79C2411yescharacteristic
797C22×Dic79C2412yes—
798C22×Dic79C2414yes—
799C22×Dic79C2411yescharacteristic
800C2×C4×D79—24no—
801C2×C4×D79—24no—
802C2×C4×D79—42no—
803C2×C4×D79—42no—
804C2×C4×D79—42no—
805C2×C4×D79—42no—
806C2×C4×D79—44no—
807C2×C4×D79—48no—
808C2×C4×D79C2412yes—
809C2×C4×D79C2414yes—
810C2×C4×D79C2414yes—
811C2×C4×D79C2412yes—
812C2×C4×D79C2412yes—
813C2×C4×D79C2412yes—
814C2×C4×D79C2412yes—
815C2×C4×D79C2412yes—
816C2×C4×D79C2412yes—
817C2×C4×D79C2414yes—
818C2×C4×D79C2412yes—
819C2×C4×D79C2414yes—
820C2×C4×D79C2414yes—
821C2×C4×D79C2412yes—
822C2×C4×D79C2412yes—
823C2×C4×D79C2412yes—
824C2×C4×D79C2412yes—
825C2×C4×D79C2414yes—
826C2×C4×D79C2414yes—
827C2×C4×D79C2414yes—
828C4⋊Dic79C2414yes—
829C4⋊Dic79C2412yes—
830C4⋊Dic79C2412yes—
831C4⋊Dic79C2414yes—
832C4⋊Dic79C2414yes—
833C4⋊Dic79C2414yes—
834C4⋊Dic79C2412yes—
835C4⋊Dic79C2412yes—
836C4⋊Dic79C2412yes—
837C4⋊Dic79C2412yes—
838C4⋊Dic79C2412yes—
839C4⋊Dic79C2412yes—
840C4⋊Dic79C2414yes—
841C4⋊Dic79C2414yes—
842Dic79⋊C4C2412yes—
843Dic79⋊C4C2414yes—
844Dic79⋊C4C2414yes—
845Dic79⋊C4C2414yes—
846Dic79⋊C4C2414yes—
847Dic79⋊C4C2414yes—
848Dic79⋊C4C2414yes—
849Dic79⋊C4C2414yes—
850Dic79⋊C4C2414yes—
851Dic79⋊C4C2414yes—
852Dic79⋊C4C2414yes—
853Dic79⋊C4C2414yes—
854Dic79⋊C4C2412yes—
855Dic79⋊C4C2414yes—
856Dic79⋊C4C2412yes—
857Dic79⋊C4C2412yes—
858Dic79⋊C4C2412yes—
859Dic79⋊C4C2412yes—
860Dic79⋊C4C2412yes—
861Dic79⋊C4C2412yes—
862Dic79⋊C4C2414yes—
863Dic79⋊C4C2414yes—
864Dic79⋊C4C2414yes—
865Dic79⋊C4C2414yes—
866Dic79⋊C4C2414yes—
867Dic79⋊C4C2414yes—
868Dic79⋊C4C2414yes—
869Dic79⋊C4C2414yes—
870C22⋊Dic79C2412yes—
871C22⋊Dic79C2414yes—
872C22⋊Dic79C2414yes—
873C22⋊Dic79C2414yes—
874C22⋊Dic79C2414yes—
875C22⋊Dic79C2414yes—
876C22⋊Dic79C2414yes—
877C22⋊Dic79C2412yes—
878C22⋊Dic79C2414yes—
879C22⋊Dic79C2412yes—
880C22⋊Dic79C2412yes—
881C22⋊Dic79C2414yes—
882(C2×D79)⋊C4C2412yes—
883(C2×D79)⋊C4C2414yes—
884(C2×D79)⋊C4C2414yes—
885(C2×D79)⋊C4C2414yes—
886(C2×D79)⋊C4C2414yes—
887(C2×D79)⋊C4C2414yes—
888(C2×D79)⋊C4C2414yes—
889(C2×D79)⋊C4C2414yes—
890(C2×D79)⋊C4C2414yes—
891(C2×D79)⋊C4C2414yes—
892(C2×D79)⋊C4C2414yes—
893(C2×D79)⋊C4C2414yes—
894(C2×D79)⋊C4C2412yes—
895(C2×D79)⋊C4C2414yes—
896(C2×D79)⋊C4C2412yes—
897(C2×D79)⋊C4C2412yes—
898(C2×D79)⋊C4C2412yes—
899(C2×D79)⋊C4C2412yes—
900(C2×D79)⋊C4C2412yes—
901(C2×D79)⋊C4C2412yes—
902(C2×D79)⋊C4C2414yes—
903(C2×D79)⋊C4C2414yes—
904(C2×D79)⋊C4C2414yes—
905(C2×D79)⋊C4C2414yes—
906(C2×D79)⋊C4C2414yes—
907(C2×D79)⋊C4C2414yes—
908(C2×D79)⋊C4C2414yes—
909(C2×D79)⋊C4C2414yes—
910C4×Dic79C2412yes—
911C4×Dic79C2412yes—
912C4×Dic79C2412yes—
913C4×Dic79C2412yes—
914C4×Dic79C2412yes—
915C4×Dic79C2412yes—
916C4×Dic79C2412yes—
917C4×Dic79C2412yes—
918C4×Dic79C2412yes—
919C4×Dic79C2412yes—
920C4×Dic79C2412yes—
921C4×Dic79C2412yes—
922C4×Dic79C2414yes—
923C4×Dic79C2414yes—
924C4×Dic79C2414yes—
925C4×Dic79C2414yes—
926C4×Dic79C2414yes—
927C4×Dic79C2414yes—
928C4×Dic79C2414yes—
929C4×Dic79C2414yes—
930C24×C79C2412yes—
931C24×C79C2411yescharacteristic
932C2×Q8×C79—42no—
933C2×Q8×C79C2412yes—
934C2×Q8×C79C2412yes—
935C2×D4×C79—28no—
936C2×D4×C79—42no—
937C2×D4×C79C2414yes—
938C2×D4×C79C2414yes—
939C2×D4×C79C2412yes—
940C2×D4×C79C2412yes—
941C22×C4×C79—24no—
942C22×C4×C79—42no—
943C22×C4×C79—42no—
944C22×C4×C79—44no—
945C22×C4×C79C2411yescharacteristic
946C22×C4×C79C2411yescharacteristic
947C22×C4×C79C2411yescharacteristic
948C22×C4×C79C2411yescharacteristic
949C22×C4×C79C2411yescharacteristic
950C22×C4×C79C2411yescharacteristic
951C22×C4×C79C2412yes—
952C22×C4×C79C2414yes—
953C22×C4×C79C2411yescharacteristic
954C22×C4×C79C2411yescharacteristic
955C22×C4×C79C2411yescharacteristic
956C22×C4×C79C2411yescharacteristic
957C22×C4×C79C2411yescharacteristic
958C22×C4×C79C2411yescharacteristic
959C22×C4×C79C2411yescharacteristic
960C22×C4×C79C2411yescharacteristic
961C22×C4×C79C2411yescharacteristic
962C22×C4×C79C2411yescharacteristic
963C22×C4×C79C2411yescharacteristic
964C22×C4×C79C2411yescharacteristic
965C22×C4×C79C2412yes—
966C22×C4×C79C2412yes—
967C22×C4×C79C2414yes—
968C4⋊C4×C79C2414yes—
969C4⋊C4×C79C2414yes—
970C4⋊C4×C79C2414yes—
971C4⋊C4×C79C2414yes—
972C4⋊C4×C79C2412yes—
973C4⋊C4×C79C2412yes—
974C4⋊C4×C79C2414yes—
975C4⋊C4×C79C2414yes—
976C4⋊C4×C79C2412yes—
977C4⋊C4×C79C2412yes—
978C4⋊C4×C79C2414yes—
979C4⋊C4×C79C2414yes—
980C22⋊C4×C79C2414yes—
981C22⋊C4×C79C2414yes—
982C22⋊C4×C79C2414yes—
983C22⋊C4×C79C2414yes—
984C22⋊C4×C79C2414yes—
985C22⋊C4×C79C2414yes—
986C22⋊C4×C79C2414yes—
987C22⋊C4×C79C2414yes—
988C22⋊C4×C79C2414yes—
989C22⋊C4×C79C2414yes—
990C42×C79C2411yescharacteristic
991C42×C79C2411yescharacteristic
992C42×C79C2411yescharacteristic
993C42×C79C2411yescharacteristic
994C42×C79C2411yescharacteristic
995C42×C79C2411yescharacteristic
996C42×C79C2411yescharacteristic
997C42×C79C2411yescharacteristic
998C42×C79C2411yescharacteristic
999C42×C79C2411yescharacteristic
1000C42×C79C2411yescharacteristic
1001C42×C79C2411yescharacteristic
1002C42×C79C2411yescharacteristic
1003C42×C79C2411yescharacteristic
1004C42×C79C2411yescharacteristic
1005C42×C79C2411yescharacteristic
1006C42×C79C2414yes—
1007C42×C79C2414yes—
1008C23×C79—24no—
1009C23×C79—41no—
1010C23×C79—41no—
1011C23×C79—42no—
1012C23×C79—42no—
1013C23×C79C2×#4114yes—
1014C23×C79C2514yes—
1015C23×C79C2511yescharacteristic
1016C23×C79C2511yescharacteristic
1017C23×C79C2511yescharacteristic
1018C22×D79—22no—
1019C22×D79—24no—
1020C22×D79—28no—
1021C22×D79—41no—
1022C22×D79—41no—
1023C22×D79—41no—
1024C22×D79—41no—
1025C22×D79—44no—
1026C22×D79—42no—
1027C22×D79—44no—
1028C22×D79—42no—
1029C22×D79C2×#4114yes—
1030C22×D79C2514yes—
1031C22×D79C2512yes—
1032C22×D79C2512yes—
1033Q8×C79—24no—
1034Q8×C79—42no—
1035D4×C79—28no—
1036D4×C79—28no—
1037D4×C79—24no—
1038D4×C79—42no—
1039C2×C4×C79—22no—
1040C2×C4×C79—22no—
1041C2×C4×C79—22no—
1042C2×C4×C79—22no—
1043C2×C4×C79—22no—
1044C2×C4×C79—22no—
1045C2×C4×C79—24no—
1046C2×C4×C79—22no—
1047C2×C4×C79—22no—
1048C2×C4×C79—22no—
1049C2×C4×C79—28no—
1050C2×C4×C79—22no—
1051C2×C4×C79—22no—
1052C2×C4×C79—22no—
1053C2×C4×C79—44no—
1054C2×C4×C79—41no—
1055C2×C4×C79—41no—
1056C2×C4×C79—41no—
1057C2×C4×C79—41no—
1058C2×C4×C79—41no—
1059C2×C4×C79—42no—
1060C2×C4×C79—41no—
1061C2×C4×C79—42no—
1062C2×C4×C79C2511yescharacteristic
1063C2×C4×C79C2511yescharacteristic
1064C2×C4×C79C2511yescharacteristic
1065C2×C4×C79C2511yescharacteristic
1066C2×C4×C79C2511yescharacteristic
1067C2×C4×C79C2514yes—
1068C2×C4×C79C2514yes—
1069C2×C4×C79C2514yes—
1070C2×C4×C79C2511yescharacteristic
1071C2×C4×C79C2511yescharacteristic
1072C2×C4×C79C2511yescharacteristic
1073C2×C4×C79C2511yescharacteristic
1074C2×C4×C79C2511yescharacteristic
1075C2×C4×C79C2511yescharacteristic
1076C2×C4×C79C2511yescharacteristic
1077C22⋊D79—28no—
1078C22⋊D79—28no—
1079C22⋊D79—24no—
1080C22⋊D79—24no—
1081C22⋊D79—28no—
1082C22⋊D79—28no—
1083C22⋊D79—44no—
1084C22⋊D79—44no—
1085C22⋊D79—44no—
1086C22⋊D79—44no—
1087C22⋊D79C2×#4118yes—
1088C22⋊D79C2×#4118yes—
1089C2×Dic79—22no—
1090C2×Dic79—24no—
1091C2×Dic79—28no—
1092C2×Dic79—41no—
1093C2×Dic79—41no—
1094C2×Dic79—42no—
1095C2×Dic79—44no—
1096C2×Dic79—41no—
1097C2×Dic79—41no—
1098C2×Dic79—42no—
1099C2×Dic79—44no—
1100C2×Dic79C2×#4114yes—
1101C2×Dic79C2512yes—
1102C2×Dic79C2512yes—
1103C2×Dic79C2514yes—
1104C2×Dic79C2512yes—
1105C2×Dic79C2512yes—
1106C2×Dic79C2512yes—
1107C2×Dic79C2514yes—
1108C2×Dic79C2514yes—
1109C2×Dic79C2512yes—
1110D316—28no—
1111D316—24no—
1112D316—24no—
1113D316—24no—
1114D316—42no—
1115D316—44no—
1116D316—44no—
1117C4×D79—24no—
1118C4×D79—24no—
1119C4×D79—28no—
1120C4×D79—24no—
1121C4×D79—28no—
1122C4×D79—24no—
1123C4×D79—24no—
1124C4×D79—24no—
1125C4×D79—24no—
1126C4×D79—24no—
1127C4×D79—28no—
1128C4×D79—42no—
1129C4×D79—42no—
1130C4×D79—44no—
1131C4×D79—44no—
1132C4×D79—44no—
1133C4×D79—42no—
1134C4×D79—42no—
1135C4×D79—44no—
1136C4×D79—44no—
1137Dic158—24no—
1138Dic158—24no—
1139Dic158—24no—
1140Dic158—28no—
1141Dic158—44no—
1142Dic158—42no—
1143Dic158—44no—
1144C22×C79—21no—
1145C22×C79—21no—
1146C22×C79—21no—
1147C22×C79—21no—
1148C22×C79—21no—
1149C22×C79—21no—
1150C22×C79—24no—
1151C22×C79—24no—
1152C22×C79—24no—
1153C22×C79—44no—
1154C22×C79—84no—
1155C22×C79C22×#4112yes—
1156C22×C79C22×#4112yes—
1157C22×C79C22×#4112yes—
1158C22×C79C2611yescharacteristic
1159C2×D79—22no—
1160C2×D79—22no—
1161C2×D79—24no—
1162C2×D79—22no—
1163C2×D79—22no—
1164C2×D79—22no—
1165C2×D79—24no—
1166C2×D79—24no—
1167C2×D79—44no—
1168C2×D79—44no—
1169C2×D79—88no—
1170C2×D79—84no—
1171C2×D79C22×#4114yes—
1172C4×C79—21no—
1173C4×C79—21no—
1174C4×C79—21no—
1175C4×C79—21no—
1176C4×C79—24no—
1177C4×C79—21no—
1178C4×C79—21no—
1179C4×C79—21no—
1180C4×C79—24no—
1181C4×C79—21no—
1182C4×C79—21no—
1183C4×C79—21no—
1184C4×C79—24no—
1185C4×C79#58512yes—
1186C4×C79#58512yes—
1187Dic79—24no—
1188Dic79—22no—
1189Dic79—22no—
1190Dic79—22no—
1191Dic79—24no—
1192Dic79—24no—
1193Dic79—22no—
1194Dic79—22no—
1195Dic79C22×#4114yes—
1196#62781—791nomaximal, Sylow
1197C2×C79—22no—
1198C2×C79—22no—
1199C2×C79—22no—
1200C2×C79—44no—
1201C2×C79C23×#4111yescharacteristic
1202C2×C79C2×#58511yescharacteristic
1203C2×C79C2×#58511yescharacteristic
1204D79—24no—
1205D79—42no—
1206D79—44no—
1207#3521—794no—
1208#3521—794no—
1209#3515—792no—
1210#3515—792no—
1211#3514—792no—
1212#3514—792no—
1213#3507—792no—
1214#3505—792no—
1215#3505—791no—
1216#3505—791no—
1217#3501—791no—
1218#3496—791no—
1219#3493—792no—
1220#3491—792no—
1221#3491—792no—
1222#3485—792no—
1223#3482—792no—
1224#3482—792no—
1225#3481—792no—
1226#3481—792no—
1227#3475—794no—
1228#3475—794no—
1229#3461—792no—
1230#3459—792no—
1231#3459—792no—
1232#3444—792no—
1233C2×#529—791no—
1234C2×#529—792no—
1235C2×#529D7911yescharacteristic, complemented
1236C4×H(5,𝔽2)—792no—
1237C2×C4×#41—791no—
1238C79#6278111yescharacteristic, complemented, Sylow
1239C2×H(5,𝔽2)—792no—
1240C22×#41—791no—
1241#559—792no—
1242#559—792no—
1243#557—792no—
1244#557—792no—
1245#556—794no—
1246#556—794no—
1247#556—792no—
1248#556—794no—
1249#556—792no—
1250#556—794no—
1251#555—794no—
1252#555—794no—
1253#554—792no—
1254#554—794no—
1255#554—792no—
1256#554—792no—
1257#554—794no—
1258#554—792no—
1259#553—794no—
1260#553—794no—
1261#553—792no—
1262#553—794no—
1263#553—792no—
1264#553—794no—
1265#553—792no—
1266#553—794no—
1267#553—794no—
1268#553—792no—
1269#552—794no—
1270#552—794no—
1271#552—794no—
1272#552—794no—
1273#552—792no—
1274#552—794no—
1275#552—794no—
1276#552—792no—
1277#552—794no—
1278#552—792no—
1279#552—794no—
1280#552—794no—
1281#552—794no—
1282#552—794no—
1283#552—794no—
1284#552—792no—
1285#551—794no—
1286#551—794no—
1287#551—794no—
1288#551—794no—
1289#551—794no—
1290#551—794no—
1291#551—794no—
1292#551—794no—
1293#551—794no—
1294#551—794no—
1295#551—794no—
1296#551—794no—
1297D4×Q8—792no—
1298D4×Q8—792no—
1299#548—792no—
1300#548—792no—
1301#548—792no—
1302#548—792no—
1303#547—794no—
1304#547—794no—
1305#547—792no—
1306#547—794no—
1307#547—794no—
1308#547—792no—
1309#546—792no—
1310#546—792no—
1311#546—794no—
1312#546—794no—
1313#546—792no—
1314#546—794no—
1315#546—792no—
1316#546—794no—
1317#546—794no—
1318#546—794no—
1319D42—792no—
1320D42—792no—
1321#544—792no—
1322#543—792no—
1323#543—792no—
1324#542—794no—
1325#542—794no—
1326#541—794no—
1327#541—794no—
1328#539—794no—
1329#539—794no—
1330#539—794no—
1331#539—794no—
1332#539—792no—
1333#539—792no—
1334#539—794no—
1335#539—794no—
1336#539—794no—
1337#538—794no—
1338#538—794no—
1339#538—792no—
1340#538—792no—
1341#538—794no—
1342#538—794no—
1343#538—794no—
1344#537—792no—
1345#536—794no—
1346#534—792no—
1347#534—792no—
1348#534—794no—
1349#534—792no—
1350#534—792no—
1351#533—792no—
1352#533—792no—
1353#533—792no—
1354#533—794no—
1355#533—794no—
1356#532—792no—
1357#532—792no—
1358#532—792no—
1359#529—794no—
1360#529—794no—
1361#529—794no—
1362#529—792no—
1363#529—792no—
1364#529—792no—
1365#529—792no—
1366#529—794no—
1367#529—794no—
1368#529—792no—
1369#529—792no—
1370#529—792no—
1371#529—794no—
1372#529—794no—
1373#529—792no—
1374#529—794no—
1375#529—794no—
1376#529—794no—
1377#529—794no—
1378#529—794no—
1379#529—794no—
1380#529—792no—
1381#529—792no—
1382#529—792no—
1383#529—792no—
1384#529—792no—
1385#529—792no—
1386#529—792no—
1387#529—792no—
1388#529—794no—
1389#529C2×D7912yescomplemented
1390#529C2×D7912yescomplemented
1391#529C2×D7912yescomplemented
1392#529C2×D7912yescomplemented
1393#529C2×D7912yescomplemented
1394#529C2×D7912yescomplemented
1395#529C2×D7912yescomplemented
1396#529C2×D7912yescomplemented
1397C2×#126—794no—
1398C2×#126—792no—
1399C2×#126C2×D7912yescomplemented
1400C2×#125—792no—
1401C2×#125—791no—
1402C2×#125C2×D7911yescharacteristic, complemented
1403C2×#124—792no—
1404C2×#124—791no—
1405C2×#124C2×D7911yescharacteristic, complemented
1406#525—794no—
1407#525—794no—
1408#525—792no—
1409#525—792no—
1410#525—794no—
1411#525—794no—
1412#525—794no—
1413#525—794no—
1414C2×#123—792no—
1415C2×#123—794no—
1416C2×#123C2×D7912yescomplemented
1417C2×C22⋊Q8—791no—
1418C2×C22⋊Q8—792no—
1419C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1420C2×#121—791no—
1421C2×#121—792no—
1422C2×#121C2×D7911yescharacteristic
1423#520—794no—
1424#520—794no—
1425#520—794no—
1426#518—792no—
1427#518—794no—
1428#518—794no—
1429#518—792no—
1430#518—792no—
1431#518—794no—
1432C4×#41—792no—
1433C4×#41—794no—
1434C4×#41—794no—
1435C4×#41—792no—
1436C4×#41—794no—
1437C4×#41—792no—
1438C4×#41—792no—
1439C4×#41—792no—
1440C4×#41—792no—
1441C4×#41—792no—
1442C4×#41—792no—
1443C4×#41—792no—
1444C4×#41—792no—
1445C4×#41—794no—
1446C2×C4×Q8—792no—
1447C2×C4×Q8—791no—
1448C2×C4×Q8—791no—
1449C2×C4×Q8—791no—
1450C2×C4×Q8C2×D7911yescharacteristic, complemented
1451C2×C4×D4—791no—
1452C2×C4×D4—791no—
1453C2×C4×D4—791no—
1454C2×C4×D4—791no—
1455C2×C4×D4—792no—
1456C2×C4×D4—794no—
1457C2×C4×D4—794no—
1458C2×C4×D4—794no—
1459C2×C4×D4—792no—
1460C2×C4×D4—791no—
1461C2×C4×D4—791no—
1462C2×C4×D4—791no—
1463C2×C4×D4C2×D7912yescomplemented
1464C2×C4×D4C2×D7911yescharacteristic, complemented
1465C2×#117—791no—
1466C2×#117—794no—
1467C2×#117—791no—
1468C2×#117—791no—
1469C2×#117—792no—
1470C2×#117C2×D7912yescomplemented
1471C22×C42—791no—
1472C22×C42—791no—
1473C22×C42C2×D7911yescharacteristic, complemented
1474H(5,𝔽2)—15816no—
1475C2×#41—792no—
1476C2×#41—792no—
1477C2×#41—794no—
1478C2×#41—794no—
1479C2×#41—794no—
1480C2×#41—792no—
1481C2×#41—792no—
1482C2×#41—792no—
1483C2×#41—792no—
1484C2×#41—794no—
1485C2×#41—1588no—
1486C22×Q8—792no—
1487C22×Q8—791no—
1488C22×Q8—791no—
1489C22×Q8C22×D7911yescharacteristic
1490C22×D4—792no—
1491C22×D4—791no—
1492C22×D4—791no—
1493C22×D4—792no—
1494C22×D4—794no—
1495C22×D4—794no—
1496C22×D4—794no—
1497C22×D4—791no—
1498C22×D4—791no—
1499C22×D4C22×D7912yes—
1500C22×D4C22×D7911yescharacteristic
1501C23×C4—792no—
1502C23×C4—794no—
1503C23×C4—791no—
1504C23×C4—791no—
1505C23×C4—791no—
1506C23×C4—791no—
1507C23×C4—791no—
1508C23×C4—791no—
1509C23×C4C22×D7911yescharacteristic
1510C23×C4C22×D7912yes—
1511C23×C4C22×D7911yescharacteristic
1512C23×C4C22×D7911yescharacteristic
1513C4⋊Q8—792no—
1514C4⋊Q8—794no—
1515C4⋊Q8—792no—
1516C4⋊Q8—792no—
1517C4⋊Q8—794no—
1518C4⋊Q8—794no—
1519C4⋊Q8—794no—
1520#127—792no—
1521#126—794no—
1522#126—794no—
1523#126—794no—
1524#126—794no—
1525#126—794no—
1526#126—794no—
1527#126—794no—
1528#126—794no—
1529#126—794no—
1530#126—794no—
1531#126—794no—
1532#126—794no—
1533#126—794no—
1534#126—794no—
1535#126—794no—
1536#126—794no—
1537#126—794no—
1538#126—794no—
1539#126—794no—
1540#126—794no—
1541#126—794no—
1542#126—794no—
1543#126—794no—
1544#126—794no—
1545#126C22×D7914yes—
1546#126C22×D7914yes—
1547#126C22×D7914yes—
1548#126C22×D7914yes—
1549#125—794no—
1550#125—794no—
1551#125—792no—
1552#125—792no—
1553#125—794no—
1554#125—794no—
1555#125—794no—
1556#125—794no—
1557#125—794no—
1558#125—794no—
1559#125—794no—
1560#125—794no—
1561#125—794no—
1562#125—794no—
1563#125—794no—
1564#125—792no—
1565#125—792no—
1566#125—792no—
1567#125—792no—
1568#125—794no—
1569#125C22×D7912yes—
1570#125C22×D7912yes—
1571#125C22×D7912yes—
1572#125C22×D7912yes—
1573#124—792no—
1574#124—794no—
1575#124—792no—
1576#124—794no—
1577#124—794no—
1578#124—794no—
1579#124—794no—
1580#124—794no—
1581#124—794no—
1582#124—794no—
1583#124—794no—
1584#124—792no—
1585#124—792no—
1586#124—792no—
1587#124—792no—
1588#124—794no—
1589#124C22×D7912yes—
1590#124C22×D7912yes—
1591#124C22×D7912yes—
1592#124C22×D7912yes—
1593#123—794no—
1594#123—794no—
1595#123—794no—
1596#123—794no—
1597#123—794no—
1598#123—794no—
1599#123—794no—
1600#123—794no—
1601#123—794no—
1602#123—794no—
1603#123—794no—
1604#123—794no—
1605#123—794no—
1606#123—794no—
1607#123—794no—
1608#123—794no—
1609#123—794no—
1610#123—794no—
1611#123—794no—
1612#123—794no—
1613#123—794no—
1614#123—794no—
1615#123—794no—
1616#123—794no—
1617#123—794no—
1618#123—794no—
1619#123—794no—
1620#123—794no—
1621#123—794no—
1622#123—794no—
1623#123—794no—
1624#123—794no—
1625#123—794no—
1626#123—794no—
1627#123C22×D7914yes—
1628#123C22×D7914yes—
1629#123C22×D7914yes—
1630#123C22×D7914yes—
1631C22⋊Q8—792no—
1632C22⋊Q8—792no—
1633C22⋊Q8—794no—
1634C22⋊Q8—794no—
1635C22⋊Q8—792no—
1636C22⋊Q8—792no—
1637C22⋊Q8—792no—
1638C22⋊Q8—792no—
1639C22⋊Q8—794no—
1640C22⋊Q8—794no—
1641C22⋊Q8—794no—
1642C22⋊Q8—792no—
1643C22⋊Q8—794no—
1644C22⋊Q8—794no—
1645C22⋊Q8—794no—
1646C22⋊Q8—794no—
1647C22⋊Q8—792no—
1648C22⋊Q8—794no—
1649C22⋊Q8—794no—
1650C22⋊Q8—794no—
1651C22⋊Q8—794no—
1652C22⋊Q8—794no—
1653C22⋊Q8—794no—
1654C22⋊Q8—794no—
1655C22⋊Q8—794no—
1656C22⋊Q8—794no—
1657C22⋊Q8—794no—
1658C22⋊Q8—794no—
1659C22⋊Q8—794no—
1660C22⋊Q8—794no—
1661C22⋊Q8—794no—
1662C22⋊Q8—794no—
1663C22⋊Q8—794no—
1664C22⋊Q8—794no—
1665C22⋊Q8—794no—
1666C22⋊Q8—794no—
1667C22⋊Q8C22×D7912yes—
1668C22⋊Q8C22×D7912yes—
1669C22⋊Q8C22×D7912yes—
1670C22⋊Q8C22×D7912yes—
1671#121—794no—
1672#121—792no—
1673#121—794no—
1674#121—792no—
1675#121—794no—
1676#121—794no—
1677#121—794no—
1678#121—794no—
1679#121—792no—
1680#121—792no—
1681#121—792no—
1682#121—792no—
1683#121—794no—
1684#121—794no—
1685#121—794no—
1686#121—792no—
1687#121—792no—
1688#121—794no—
1689#121—794no—
1690#121—794no—
1691#121—794no—
1692#121—794no—
1693#121—794no—
1694#121—794no—
1695#121—794no—
1696#121—794no—
1697#121—794no—
1698#121—794no—
1699#121C22×D7912yes—
1700#121C22×D7912yes—
1701#121C22×D7912yes—
1702#121C22×D7912yes—
1703#120—794no—
1704#120—794no—
1705#120—794no—
1706#120—794no—
1707#120—794no—
1708#120—794no—
1709#120—794no—
1710#120—794no—
1711#120—794no—
1712#120—794no—
1713C4×Q8—792no—
1714C4×Q8—792no—
1715C4×Q8—792no—
1716C4×Q8—794no—
1717C4×Q8—794no—
1718C4×Q8—794no—
1719C4×Q8—792no—
1720C4×Q8—794no—
1721C4×Q8—794no—
1722C4×Q8—792no—
1723C4×Q8—792no—
1724C4×Q8—792no—
1725C4×Q8—792no—
1726C4×Q8—792no—
1727C4×Q8—792no—
1728C4×Q8—792no—
1729C4×Q8—792no—
1730C4×Q8—792no—
1731C4×Q8—794no—
1732C4×Q8—792no—
1733C4×Q8—792no—
1734C4×Q8—792no—
1735C4×Q8—794no—
1736C4×Q8—794no—
1737C4×Q8C22×D7912yes—
1738C4×Q8C22×D7912yes—
1739C4×Q8C22×D7912yes—
1740C4×Q8C22×D7912yes—
1741C4×D4—794no—
1742C4×D4—794no—
1743C4×D4—792no—
1744C4×D4—794no—
1745C4×D4—794no—
1746C4×D4—792no—
1747C4×D4—792no—
1748C4×D4—792no—
1749C4×D4—794no—
1750C4×D4—794no—
1751C4×D4—794no—
1752C4×D4—794no—
1753C4×D4—792no—
1754C4×D4—792no—
1755C4×D4—792no—
1756C4×D4—792no—
1757C4×D4—792no—
1758C4×D4—792no—
1759C4×D4—792no—
1760C4×D4—792no—
1761C4×D4—792no—
1762C4×D4—792no—
1763C4×D4—792no—
1764C4×D4—792no—
1765C4×D4—792no—
1766C4×D4—792no—
1767C4×D4—794no—
1768C4×D4—794no—
1769C4×D4—794no—
1770C4×D4—794no—
1771C4×D4—794no—
1772C4×D4—794no—
1773C4×D4—794no—
1774C4×D4—794no—
1775C4×D4—794no—
1776C4×D4—794no—
1777C4×D4—794no—
1778C4×D4—794no—
1779C4×D4—792no—
1780C4×D4—794no—
1781C4×D4—794no—
1782C4×D4—794no—
1783C4×D4—792no—
1784C4×D4—794no—
1785C4×D4—794no—
1786C4×D4—794no—
1787C4×D4—794no—
1788C4×D4—794no—
1789C4×D4—794no—
1790C4×D4—794no—
1791C4×D4—794no—
1792C4×D4—794no—
1793C4×D4—794no—
1794C4×D4—794no—
1795C4×D4—794no—
1796C4×D4—794no—
1797C4×D4—794no—
1798C4×D4—794no—
1799C4×D4—792no—
1800C4×D4—792no—
1801C4×D4—792no—
1802C4×D4—792no—
1803C4×D4—792no—
1804C4×D4—792no—
1805C4×D4—792no—
1806C4×D4—792no—
1807C4×D4—792no—
1808C4×D4—792no—
1809C4×D4—792no—
1810C4×D4—792no—
1811C4×D4—794no—
1812C4×D4—794no—
1813C4×D4C22×D7914yes—
1814C4×D4C22×D7914yes—
1815C4×D4C22×D7912yes—
1816C4×D4C22×D7914yes—
1817C4×D4C22×D7914yes—
1818C4×D4C22×D7912yes—
1819C4×D4C22×D7912yes—
1820C4×D4C22×D7912yes—
1821#117—792no—
1822#117—792no—
1823#117—792no—
1824#117—792no—
1825#117—794no—
1826#117—794no—
1827#117—794no—
1828#117—794no—
1829#117—794no—
1830#117—794no—
1831#117—792no—
1832#117—792no—
1833#117—794no—
1834#117—794no—
1835#117—794no—
1836#117—794no—
1837#117—794no—
1838#117—794no—
1839#117—794no—
1840#117—794no—
1841#117—794no—
1842#117—792no—
1843#117—792no—
1844#117—792no—
1845#117—792no—
1846#117—792no—
1847#117—792no—
1848#117—792no—
1849#117—792no—
1850#117—794no—
1851#117—794no—
1852#117—794no—
1853#117—794no—
1854#117—794no—
1855#117—794no—
1856#117—794no—
1857#117C22×D7914yes—
1858#117C22×D7914yes—
1859#117C22×D7914yes—
1860#117C22×D7914yes—
1861C2×C4⋊C4—791no—
1862C2×C4⋊C4—791no—
1863C2×C4⋊C4—791no—
1864C2×C4⋊C4—791no—
1865C2×C4⋊C4—791no—
1866C2×C4⋊C4—791no—
1867C2×C4⋊C4—792no—
1868C2×C4⋊C4—792no—
1869C2×C4⋊C4—792no—
1870C2×C4⋊C4—794no—
1871C2×C4⋊C4—791no—
1872C2×C4⋊C4—791no—
1873C2×C4⋊C4—792no—
1874C2×C4⋊C4—794no—
1875C2×C4⋊C4—794no—
1876C2×C4⋊C4—794no—
1877C2×C4⋊C4—794no—
1878C2×C4⋊C4—792no—
1879C2×C4⋊C4—792no—
1880C2×C4⋊C4—794no—
1881C2×C4⋊C4C22×D7912yes—
1882C2×C4⋊C4C22×D7912yes—
1883C2×C4⋊C4C22×D7912yes—
1884C2×C4⋊C4C22×D7911yescharacteristic
1885C2×C4⋊C4C22×D7911yescharacteristic
1886C2×C4⋊C4C22×D7912yes—
1887C2×C22⋊C4—791no—
1888C2×C22⋊C4—791no—
1889C2×C22⋊C4—792no—
1890C2×C22⋊C4—794no—
1891C2×C22⋊C4—791no—
1892C2×C22⋊C4—791no—
1893C2×C22⋊C4—791no—
1894C2×C22⋊C4—791no—
1895C2×C22⋊C4—792no—
1896C2×C22⋊C4—792no—
1897C2×C22⋊C4—792no—
1898C2×C22⋊C4—794no—
1899C2×C22⋊C4—792no—
1900C2×C22⋊C4—794no—
1901C2×C22⋊C4—794no—
1902C2×C22⋊C4—794no—
1903C2×C22⋊C4—794no—
1904C2×C22⋊C4—794no—
1905C2×C22⋊C4—794no—
1906C2×C22⋊C4—794no—
1907C2×C22⋊C4C22×D7912yes—
1908C2×C22⋊C4C22×D7912yes—
1909C2×C22⋊C4C22×D7912yes—
1910C2×C22⋊C4C22×D7912yes—
1911C2×C22⋊C4C22×D7912yes—
1912C2×C42—791no—
1913C2×C42—791no—
1914C2×C42—792no—
1915C2×C42—791no—
1916C2×C42—791no—
1917C2×C42—791no—
1918C2×C42—791no—
1919C2×C42—794no—
1920C2×C42—792no—
1921C2×C42—794no—
1922C2×C42—792no—
1923C2×C42—794no—
1924C2×C42—792no—
1925C2×C42—792no—
1926C2×C42—792no—
1927C2×C42—792no—
1928C2×C42—792no—
1929C2×C42—792no—
1930C2×C42C22×D7911yescharacteristic
1931C2×C42C22×D7911yescharacteristic
1932C2×C42C22×D7911yescharacteristic
1933C2×C42C22×D7912yes—
1934C2×C42C22×D7911yescharacteristic
1935C2×C42C22×D7911yescharacteristic
1936C2×C42C22×D7911yescharacteristic
1937C2×C42C22×D7911yescharacteristic
1938C2×C42C22×D7911yescharacteristic
1939C2×C42C22×D7911yescharacteristic
1940C2×C42C22×D7911yescharacteristic
1941C2×C42C22×D7911yescharacteristic
1942C2×C42C22×D7911yescharacteristic
1943C24—791no—
1944C24—794no—
1945C24—792no—
1946C24—791no—
1947C24C23×D7912yes—
1948C24C23×D7911yescharacteristic
1949#41—3168no—
1950#41—3164no—
1951#41—3164no—
1952#41—1588no—
1953#41—1588no—
1954#41—1588no—
1955#41—1588no—
1956#41—15816no—
1957#41—15816no—
1958#41—15816no—
1959C2×Q8—42no—
1960C2×Q8—3162no—
1961C2×Q8—3164no—
1962C2×Q8—794no—
1963C2×Q8—792no—
1964C2×Q8—794no—
1965C2×Q8—792no—
1966C2×Q8—792no—
1967C2×Q8—792no—
1968C2×Q8—794no—
1969C2×Q8—1584no—
1970C2×Q8C23×D7912yes—
1971C2×Q8C23×D7912yes—
1972C2×D4—28no—
1973C2×D4—42no—
1974C2×D4—3162no—
1975C2×D4—3164no—
1976C2×D4—794no—
1977C2×D4—794no—
1978C2×D4—794no—
1979C2×D4—794no—
1980C2×D4—798no—
1981C2×D4—792no—
1982C2×D4—792no—
1983C2×D4—792no—
1984C2×D4—792no—
1985C2×D4—794no—
1986C2×D4—794no—
1987C2×D4—794no—
1988C2×D4—794no—
1989C2×D4—794no—
1990C2×D4—794no—
1991C2×D4—792no—
1992C2×D4—792no—
1993C2×D4—792no—
1994C2×D4—794no—
1995C2×D4—792no—
1996C2×D4—1584no—
1997C2×D4—15816no—
1998C2×D4—15816no—
1999C2×D4—15816no—
2000C2×D4—1584no—
2001C2×D4—1588no—
2002C2×D4C23×D7914yes—
2003C2×D4C23×D7914yes—
2004C2×D4C23×D7912yes—
2005C2×D4C23×D7912yes—
2006C22×C4—24no—
2007C22×C4—42no—
2008C22×C4—44no—
2009C22×C4—42no—
2010C22×C4—3162no—
2011C22×C4—3164no—
2012C22×C4—3162no—
2013C22×C4—3162no—
2014C22×C4—3162no—
2015C22×C4—3168no—
2016C22×C4—791no—
2017C22×C4—791no—
2018C22×C4—791no—
2019C22×C4—791no—
2020C22×C4—792no—
2021C22×C4—794no—
2022C22×C4—792no—
2023C22×C4—794no—
2024C22×C4—792no—
2025C22×C4—792no—
2026C22×C4—792no—
2027C22×C4—792no—
2028C22×C4—794no—
2029C22×C4—794no—
2030C22×C4—794no—
2031C22×C4—794no—
2032C22×C4—794no—
2033C22×C4—791no—
2034C22×C4—791no—
2035C22×C4—792no—
2036C22×C4—794no—
2037C22×C4—792no—
2038C22×C4—792no—
2039C22×C4—792no—
2040C22×C4—792no—
2041C22×C4—792no—
2042C22×C4—792no—
2043C22×C4—794no—
2044C22×C4—794no—
2045C22×C4—792no—
2046C22×C4—792no—
2047C22×C4—794no—
2048C22×C4—1584no—
2049C22×C4—1584no—
2050C22×C4C23×D7911yescharacteristic
2051C22×C4C23×D7911yescharacteristic
2052C22×C4C23×D7911yescharacteristic
2053C22×C4C23×D7911yescharacteristic
2054C22×C4C23×D7911yescharacteristic
2055C22×C4C23×D7911yescharacteristic
2056C22×C4C23×D7911yescharacteristic
2057C22×C4C23×D7911yescharacteristic
2058C22×C4C23×D7911yescharacteristic
2059C22×C4C23×D7912yes—
2060C22×C4C23×D7911yescharacteristic
2061C22×C4C23×D7911yescharacteristic
2062C22×C4C23×D7914yes—
2063C22×C4C23×D7911yescharacteristic
2064C22×C4C23×D7911yescharacteristic
2065C22×C4C23×D7911yescharacteristic
2066C22×C4C23×D7911yescharacteristic
2067C22×C4C23×D7911yescharacteristic
2068C22×C4C23×D7911yescharacteristic
2069C22×C4C23×D7911yescharacteristic
2070C22×C4C23×D7912yes—
2071C22×C4C23×D7914yes—
2072C22×C4C23×D7912yes—
2073C4⋊C4—792no—
2074C4⋊C4—792no—
2075C4⋊C4—794no—
2076C4⋊C4—794no—
2077C4⋊C4—794no—
2078C4⋊C4—794no—
2079C4⋊C4—794no—
2080C4⋊C4—794no—
2081C4⋊C4—794no—
2082C4⋊C4—792no—
2083C4⋊C4—792no—
2084C4⋊C4—792no—
2085C4⋊C4—792no—
2086C4⋊C4—792no—
2087C4⋊C4—792no—
2088C4⋊C4—794no—
2089C4⋊C4—794no—
2090C4⋊C4—794no—
2091C4⋊C4—794no—
2092C4⋊C4—794no—
2093C4⋊C4—794no—
2094C4⋊C4—794no—
2095C4⋊C4—794no—
2096C4⋊C4—794no—
2097C4⋊C4—794no—
2098C4⋊C4—794no—
2099C4⋊C4—794no—
2100C4⋊C4—794no—
2101C4⋊C4—792no—
2102C4⋊C4—794no—
2103C4⋊C4—792no—
2104C4⋊C4—792no—
2105C4⋊C4—792no—
2106C4⋊C4—792no—
2107C4⋊C4—792no—
2108C4⋊C4—794no—
2109C4⋊C4—794no—
2110C4⋊C4—792no—
2111C4⋊C4—792no—
2112C4⋊C4—794no—
2113C4⋊C4—794no—
2114C4⋊C4—794no—
2115C4⋊C4C23×D7914yes—
2116C4⋊C4C23×D7914yes—
2117C4⋊C4C23×D7912yes—
2118C4⋊C4C23×D7914yes—
2119C4⋊C4C23×D7914yes—
2120C4⋊C4C23×D7912yes—
2121C4⋊C4C23×D7914yes—
2122C4⋊C4C23×D7914yes—
2123C4⋊C4C23×D7914yes—
2124C4⋊C4C23×D7912yes—
2125C4⋊C4C23×D7914yes—
2126C4⋊C4C23×D7912yes—
2127C22⋊C4—792no—
2128C22⋊C4—792no—
2129C22⋊C4—794no—
2130C22⋊C4—794no—
2131C22⋊C4—794no—
2132C22⋊C4—794no—
2133C22⋊C4—792no—
2134C22⋊C4—792no—
2135C22⋊C4—794no—
2136C22⋊C4—794no—
2137C22⋊C4—794no—
2138C22⋊C4—794no—
2139C22⋊C4—792no—
2140C22⋊C4—792no—
2141C22⋊C4—794no—
2142C22⋊C4—794no—
2143C22⋊C4—794no—
2144C22⋊C4—794no—
2145C22⋊C4—794no—
2146C22⋊C4—794no—
2147C22⋊C4—794no—
2148C22⋊C4—794no—
2149C22⋊C4—794no—
2150C22⋊C4—792no—
2151C22⋊C4—792no—
2152C22⋊C4—792no—
2153C22⋊C4—792no—
2154C22⋊C4—792no—
2155C22⋊C4—792no—
2156C22⋊C4—794no—
2157C22⋊C4—794no—
2158C22⋊C4—794no—
2159C22⋊C4—794no—
2160C22⋊C4—794no—
2161C22⋊C4—794no—
2162C22⋊C4—794no—
2163C22⋊C4—794no—
2164C22⋊C4—794no—
2165C22⋊C4—794no—
2166C22⋊C4—794no—
2167C22⋊C4C23×D7914yes—
2168C22⋊C4C23×D7914yes—
2169C22⋊C4C23×D7914yes—
2170C22⋊C4C23×D7914yes—
2171C22⋊C4C23×D7914yes—
2172C22⋊C4C23×D7914yes—
2173C22⋊C4C23×D7914yes—
2174C22⋊C4C23×D7914yes—
2175C22⋊C4C23×D7914yes—
2176C22⋊C4C23×D7914yes—
2177C42—792no—
2178C42—792no—
2179C42—792no—
2180C42—792no—
2181C42—792no—
2182C42—792no—
2183C42—792no—
2184C42—792no—
2185C42—792no—
2186C42—792no—
2187C42—794no—
2188C42—794no—
2189C42—794no—
2190C42—794no—
2191C42—794no—
2192C42—794no—
2193C42—794no—
2194C42—792no—
2195C42—794no—
2196C42—792no—
2197C42C23×D7911yescharacteristic
2198C42C23×D7911yescharacteristic
2199C42C23×D7911yescharacteristic
2200C42C23×D7911yescharacteristic
2201C42C23×D7911yescharacteristic
2202C42C23×D7911yescharacteristic
2203C42C23×D7911yescharacteristic
2204C42C23×D7911yescharacteristic
2205C42C23×D7911yescharacteristic
2206C42C23×D7911yescharacteristic
2207C42C23×D7911yescharacteristic
2208C42C23×D7911yescharacteristic
2209C42C23×D7914yes—
2210C42C23×D7911yescharacteristic
2211C42C23×D7911yescharacteristic
2212C42C23×D7914yes—
2213C42C23×D7911yescharacteristic
2214C42C23×D7911yescharacteristic
2215C23—24no—
2216C23—41no—
2217C23—41no—
2218C23—42no—
2219C23—42no—
2220C23—3161no—
2221C23—3161no—
2222C23—3161no—
2223C23—3161no—
2224C23—3162no—
2225C23—3164no—
2226C23—3162no—
2227C23—3164no—
2228C23—794no—
2229C23—792no—
2230C23—794no—
2231C23—792no—
2232C23—1588no—
2233C23—1582no—
2234C23—1584no—
2235C23#41×D7914yes—
2236C23C24×D7914yes—
2237C23C24×D7911yescharacteristic
2238C23C24×D7911yescharacteristic
2239C23C24×D7911yescharacteristic
2240Q8—24no—
2241Q8—42no—
2242Q8—3162no—
2243Q8—3164no—
2244Q8—3164no—
2245Q8—1584no—
2246Q8—1584no—
2247Q8—1588no—
2248Q8—1584no—
2249D4—28no—
2250D4—28no—
2251D4—24no—
2252D4—42no—
2253D4—3162no—
2254D4—3164no—
2255D4—3164no—
2256D4—3164no—
2257D4—3164no—
2258D4—3164no—
2259D4—3164no—
2260D4—798no—
2261D4—798no—
2262D4—1588no—
2263D4—1584no—
2264D4—1584no—
2265D4—1588no—
2266D4—1588no—
2267D4—1588no—
2268D4—1588no—
2269D4—1584no—
2270D4—1584no—
2271D4—1584no—
2272C2×C4—22no—
2273C2×C4—22no—
2274C2×C4—22no—
2275C2×C4—22no—
2276C2×C4—22no—
2277C2×C4—22no—
2278C2×C4—24no—
2279C2×C4—22no—
2280C2×C4—22no—
2281C2×C4—22no—
2282C2×C4—22no—
2283C2×C4—28no—
2284C2×C4—22no—
2285C2×C4—22no—
2286C2×C4—41no—
2287C2×C4—41no—
2288C2×C4—44no—
2289C2×C4—41no—
2290C2×C4—41no—
2291C2×C4—41no—
2292C2×C4—42no—
2293C2×C4—41no—
2294C2×C4—42no—
2295C2×C4—3162no—
2296C2×C4—3162no—
2297C2×C4—3164no—
2298C2×C4—3162no—
2299C2×C4—3162no—
2300C2×C4—3164no—
2301C2×C4—3164no—
2302C2×C4—3164no—
2303C2×C4—3164no—
2304C2×C4—3161no—
2305C2×C4—3161no—
2306C2×C4—3164no—
2307C2×C4—3162no—
2308C2×C4—3161no—
2309C2×C4—3161no—
2310C2×C4—3162no—
2311C2×C4—3164no—
2312C2×C4—792no—
2313C2×C4—794no—
2314C2×C4—792no—
2315C2×C4—792no—
2316C2×C4—794no—
2317C2×C4—792no—
2318C2×C4—792no—
2319C2×C4—792no—
2320C2×C4—794no—
2321C2×C4—794no—
2322C2×C4—1584no—
2323C2×C4—1584no—
2324C2×C4—1588no—
2325C2×C4—1584no—
2326C2×C4—1584no—
2327C2×C4—1588no—
2328C2×C4—1588no—
2329C2×C4—1582no—
2330C2×C4—1584no—
2331C2×C4—1584no—
2332C2×C4—1588no—
2333C2×C4—1584no—
2334C2×C4—1584no—
2335C2×C4—1584no—
2336C2×C4C24×D7911yescharacteristic
2337C2×C4C24×D7911yescharacteristic
2338C2×C4C24×D7911yescharacteristic
2339C2×C4C24×D7911yescharacteristic
2340C2×C4C24×D7911yescharacteristic
2341C2×C4C24×D7914yes—
2342C2×C4C24×D7914yes—
2343C2×C4C24×D7914yes—
2344C2×C4C24×D7911yescharacteristic
2345C2×C4C24×D7911yescharacteristic
2346C2×C4C24×D7911yescharacteristic
2347C2×C4C24×D7911yescharacteristic
2348C2×C4C24×D7911yescharacteristic
2349C2×C4C24×D7911yescharacteristic
2350C2×C4C24×D7911yescharacteristic
2351C22—21no—
2352C22—21no—
2353C22—21no—
2354C22—21no—
2355C22—21no—
2356C22—21no—
2357C22—24no—
2358C22—24no—
2359C22—24no—
2360C22—44no—
2361C22—84no—
2362C22—3164no—
2363C22—3164no—
2364C22—794no—
2365C22—6324no—
2366C22—6328no—
2367C22—1582no—
2368C22—1584no—
2369C22—1584no—
2370C22—1582no—
2371C22—1582no—
2372C22—1584no—
2373C22—1582no—
2374C22—1582no—
2375C22C2×#41×D7912yes—
2376C22C2×#41×D7912yes—
2377C22C2×#41×D7912yes—
2378C22C25×D7911yescharacteristic
2379C4—21no—
2380C4—21no—
2381C4—21no—
2382C4—21no—
2383C4—24no—
2384C4—21no—
2385C4—21no—
2386C4—21no—
2387C4—21no—
2388C4—24no—
2389C4—21no—
2390C4—21no—
2391C4—24no—
2392C4—794no—
2393C4—1584no—
2394C4—1582no—
2395C4—1582no—
2396C4—1582no—
2397C4—1584no—
2398C4—1584no—
2399C4—1582no—
2400C4—1582no—
2401C4#1909939912yes—
2402C4#1909939912yes—
2403C2—22no—
2404C2—22no—
2405C2—22no—
2406C2—44no—
2407C2—3162no—
2408C2—3164no—
2409C2—1584no—
2410C2C22×#41×D7911yescharacteristic
2411C2C2×#1909939911yescharacteristic
2412C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×#529×C79C2
hypercenterC2×#529D79
hypocenterC79#62781
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #23777460C2semidirect
2. #23777454C2semidirect
3. #23777372C2semidirect
4. #23777366C2semidirect
5. #23777355C2semidirect
6. #23777349C2semidirect
7. #23777256C2semidirect
8. #23777241C2semidirect
9. #23777235C2semidirect
10. #23777234C2semidirect
11. #23777196C2semidirect
12. #23777157C2semidirect
13. #23777112C2semidirect
14. #23777096C2semidirect
15. #23777092C2semidirect
16. #23777038C2semidirect
17. #23777017C2semidirect
18. #23777013C2semidirect
19. #23777006C2semidirect
20. #23777004C2semidirect
21. #23776954C2semidirect
22. #23776952C2semidirect
23. #23776829C2semidirect
24. #23776810C2semidirect
25. #23776809C2semidirect
26. #23776694C2semidirect
27. C2×#19099097C2semidirect
28. #529×D79C2semidirect
29. C4×#14579206C2semidirect
30. C2×C4×#11929624C2semidirect
31. C2×#529×C79C2semidirect
34. #19099296C22semidirect
35. #19099295C22semidirect
36. #19099290C22semidirect
37. #19099289C22semidirect
38. #19099285C22semidirect
39. #19099285C22semidirect
40. #19099282C22semidirect
41. #19099281C22semidirect
42. #19099280C22semidirect
43. #19099280C22semidirect
44. #19099276C22semidirect
45. #19099275C22semidirect
46. #19099272C22semidirect
47. #19099271C22semidirect
48. #19099269C22semidirect
49. #19099268C22semidirect
50. #19099268C22semidirect
51. #19099267C22semidirect
52. #19099266C22semidirect
53. #19099265C22semidirect
54. #19099264C22semidirect
55. #19099264C22semidirect
56. #19099263C22semidirect
57. #19099262C22semidirect
58. #19099261C22semidirect
59. #19099261C22semidirect
60. #19099257C22semidirect
61. #19099256C22semidirect
62. #19099255C22semidirect
63. #19099254C22semidirect
64. #19099254C22semidirect
65. #19099252C22semidirect
66. #19099251C22semidirect
67. #19099250C22semidirect
68. #19099250C22semidirect
69. #19099249C22semidirect
70. #19099249C22semidirect
71. #19099248C22semidirect
72. #19099248C22semidirect
73. #19099248C22semidirect
74. #19099246C22semidirect
75. #19099246C22semidirect
76. #19099245C22semidirect
77. #19099245C22semidirect
78. #19099243C22semidirect
79. #19099242C22semidirect
80. #19099240C22semidirect
81. #19099239C22semidirect
82. #19099239C22semidirect
83. #19099239C22semidirect
84. #19099238C22semidirect
85. #19099238C22semidirect
86. #19099237C22semidirect
87. #19099237C22semidirect
88. #19099236C22semidirect
89. #19099236C22semidirect
90. Q8×C22⋊D79C22semidirect
91. #19099226C22semidirect
92. #19099225C22semidirect
93. #19099224C22semidirect
94. #19099221C22semidirect
95. #19099219C22semidirect
96. #19099214C22semidirect
97. #19099214C22semidirect
98. #19099214C22semidirect
99. #19099213C22semidirect
100. #19099211C22semidirect
101. #19099211C22semidirect
102. #19099208C22semidirect
103. #19099207C22semidirect
104. #19099206C22semidirect
105. #19099205C22semidirect
106. #19099205C22semidirect
107. #19099204C22semidirect
108. #19099203C22semidirect
109. #19099203C22semidirect
110. #19099203C22semidirect
111. #19099202C22semidirect
112. #19099197C22semidirect
113. D4×C22⋊D79C22semidirect
114. #19099192C22semidirect
115. #19099189C22semidirect
116. #19099188C22semidirect
117. #19099179C22semidirect
118. #19099177C22semidirect
119. #19099172C22semidirect
120. #19099170C22semidirect
121. #19099162C22semidirect
122. #19099161C22semidirect
123. #19099160C22semidirect
124. #19099158C22semidirect
125. #19099157C22semidirect
126. #19099157C22semidirect
127. #19099155C22semidirect
128. #19099155C22semidirect
129. #19099154C22semidirect
130. #19099153C22semidirect
131. #19099152C22semidirect
132. #19099151C22semidirect
133. #19099150C22semidirect
134. #19099147C22semidirect
135. #19099146C22semidirect
136. #19099146C22semidirect
138. #19099135C22semidirect
139. #19099125C22semidirect
140. #19099124C22semidirect
142. #19099122C22semidirect
144. #19099119C22semidirect
145. #19099117C22semidirect
146. #19099117C22semidirect
147. #19099116C22semidirect
148. #19099115C22semidirect
149. #19099112C22semidirect
150. #19099110C22semidirect
152. #19099100C22semidirect
153. #19099100C22semidirect
154. #19099099C22semidirect
155. #19099098C22semidirect
156. #19099098C22semidirect
157. #19099097C22semidirect
158. #19099097C22semidirect
159. #19099097C22semidirect
160. #19099097C22semidirect
161. #19099097C22semidirect
162. #19099097C22semidirect
163. #19099097C22semidirect
164. #19099097C22semidirect
165. #19099097C22semidirect
166. #19099096C22semidirect
167. #19099096C22semidirect
168. #19099096C22semidirect
169. #19099095C22semidirect
170. #19099094C22semidirect
171. #19099093C22semidirect
172. #19099093C22semidirect
173. #19099093C22semidirect
174. #19099092C22semidirect
175. #19099092C22semidirect
176. #19099091C22semidirect
177. #19099091C22semidirect
178. #19099091C22semidirect
179. #19099091C22semidirect
180. #19099090C22semidirect
181. #19099090C22semidirect
182. C2×#14579155C22semidirect
183. #126×D79C22semidirect
184. C2×#14579153C22semidirect
185. #125×D79C22semidirect
186. C2×#14579149C22semidirect
187. #124×D79C22semidirect
188. #19099076C22semidirect
189. #19099075C22semidirect
190. #19099074C22semidirect
191. #19099073C22semidirect
192. #19099072C22semidirect
193. #19099072C22semidirect
194. #19099072C22semidirect
195. #19099071C22semidirect
196. C2×#14579144C22semidirect
197. #123×D79C22semidirect
198. C2×#14579140C22semidirect
199. C22⋊Q8×D79C22semidirect
202. #19099044C22semidirect
203. #19099042C22semidirect
204. #19099042C22semidirect
205. #19099038C22semidirect
207. #19099036C22semidirect
208. #19099036C22semidirect
209. #19099035C22semidirect
210. #19099035C22semidirect
211. C4×#11929625C22semidirect
212. C4×#11929624C22semidirect
213. C4×#11929624C22semidirect
214. C4×#11929624C22semidirect
215. C4×#11929624C22semidirect
216. C4×#11929624C22semidirect
217. C4×#11929624C22semidirect
218. C4×#11929624C22semidirect
219. C4×#11929624C22semidirect
220. C4×#11929624C22semidirect
221. #19099031C22semidirect
222. C4×#11929623C22semidirect
223. C4×#11929623C22semidirect
224. C4×#11929623C22semidirect
225. C2×C4×Dic158C22semidirect
226. C2×C4×Dic158C22semidirect
227. C2×C4×Dic158C22semidirect
228. C4×Q8×D79C22semidirect
229. C2×C4×D316C22semidirect
230. C2×C4×D316C22semidirect
231. C2×C4×D316C22semidirect
234. C2×C4×C22⋊D79C22semidirect
235. C2×C4×C22⋊D79C22semidirect
236. C2×C4×C22⋊D79C22semidirect
237. C2×C4×C22⋊D79C22semidirect
238. C4×D4×D79C22semidirect
239. C4×D4×D79C22semidirect
240. C4×D4×D79C22semidirect
241. C2×#14579120C22semidirect
242. C2×#14579118C22semidirect
243. C2×#14579118C22semidirect
244. C2×#14579118C22semidirect
245. #117×D79C22semidirect
246. C2×C42×D79C22semidirect
247. C2×C42×D79C22semidirect
248. #529×C79C22semidirect
249. #529×C79C22semidirect
250. #529×C79C22semidirect
251. #529×C79C22semidirect
252. #529×C79C22semidirect
253. #529×C79C22semidirect
254. #529×C79C22semidirect
255. #529×C79C22semidirect
256. C2×#126×C79C22semidirect
257. C2×#125×C79C22semidirect
258. C2×#124×C79C22semidirect
259. C2×#123×C79C22semidirect
260. C2×C22⋊Q8×C79C22semidirect
262. C2×C4×Q8×C79C22semidirect
263. C2×C4×D4×C79C22semidirect
264. C2×C4×D4×C79C22semidirect
265. C2×#117×C79C22semidirect
266. C22×C42×C79C22semidirect
772. C2×C22⋊D79#41semidirect
1235. C2×#529D79semidirect
1238. C79#62781semidirect
1389. #529C2×D79semidirect
1390. #529C2×D79semidirect
1391. #529C2×D79semidirect
1392. #529C2×D79semidirect
1393. #529C2×D79semidirect
1394. #529C2×D79semidirect
1395. #529C2×D79semidirect
1396. #529C2×D79semidirect
1399. C2×#126C2×D79semidirect
1402. C2×#125C2×D79semidirect
1405. C2×#124C2×D79semidirect
1416. C2×#123C2×D79semidirect
1419. C2×C22⋊Q8C2×D79semidirect
1450. C2×C4×Q8C2×D79semidirect
1463. C2×C4×D4C2×D79semidirect
1464. C2×C4×D4C2×D79semidirect
1470. C2×#117C2×D79semidirect
1473. C22×C42C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774602
#237774542
#237773722
#237773662
#237773552
#237773492
#237772562
#237772412
#237772352
#237772342
#237771962
#237771572
#237771122
#237770962
#237770922
#237770382
#237770172
#237770132
#237770062
#237770042
#237769542
#237769522
#237768292
#237768102
#237768092
#237766942
C2×#190990972
#529×D792
C4×#145792062
C2×C4×#119296242
C2×#529×C792
#6278179