Finite Group Databasebeta

← #35196923

Subgroups — #35196923

Order 20224.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777614C212yesmaximal, complemented
2#23777598C212yesmaximal, complemented
3#23777596C214yesmaximal, complemented
4#23777591C212yesmaximal, complemented
5#23777587C212yesmaximal, complemented
6#23777585C214yesmaximal, complemented
7#23777572C214yesmaximal, complemented
8#23777559C214yesmaximal, complemented
9#23777337C214yesmaximal, complemented
10#23777336C214yesmaximal, complemented
11#23777329C214yesmaximal, complemented
12#23777328C214yesmaximal, complemented
13#23777106C212yesmaximal, complemented
14#23777101C212yesmaximal, complemented
15#23777091C214yesmaximal, complemented
16#23777089C211yesmaximal, characteristic, complemented
17#23777087C212yesmaximal, complemented
18#23777083C212yesmaximal, complemented
19#23777037C214yesmaximal, complemented
20#23777029C212yesmaximal, complemented
21#525×D79C212yesmaximal, complemented
22C22×#14579143C211yesmaximal, characteristic, complemented
23C79×#3490C211yesmaximal, characteristic, complemented
24C2×#14579206C2212yescomplemented
25C2×#41×D79C2212yescomplemented
26C23×C22⋊D79C2211yescharacteristic
27C23×C4×D79C2211yescharacteristic, complemented
28#19099315C2214yescomplemented
29#19099314C2214yescomplemented
30#19099310C2214yescomplemented
31#19099309C2214yescomplemented
32#19099308C2214yescomplemented
33#19099307C2214yescomplemented
34#19099303C2214yescomplemented
35#19099302C2214yescomplemented
36#19099296C2214yescomplemented
37#19099295C2214yescomplemented
38#19099272C2214yescomplemented
39#19099271C2214yescomplemented
40#19099270C2214yescomplemented
41#19099267C2214yescomplemented
42#19099265C2214yescomplemented
43#19099262C2214yescomplemented
44#19099259C2214yescomplemented
45#19099259C2214yescomplemented
46#19099258C2214yescomplemented
47#19099257C2214yescomplemented
48#19099256C2214yescomplemented
49#19099256C2214yescomplemented
50#19099255C2214yescomplemented
51#19099253C2214yescomplemented
52#19099252C2214yescomplemented
53#19099250C2214yescomplemented
54#19099249C2214yescomplemented
55#19099249C2214yescomplemented
56#19099247C2214yescomplemented
57#19099246C2214yescomplemented
58#19099244C2214yescomplemented
59#19099244C2214yescomplemented
60#19099243C2214yescomplemented
61#19099242C2214yescomplemented
62#19099242C2214yescomplemented
63#19099241C2214yescomplemented
64#19099240C2214yescomplemented
65#19099239C2214yescomplemented
66#19099239C2214yescomplemented
67#19099239C2214yescomplemented
68#19099239C2214yescomplemented
69#19099239C2214yescomplemented
70#19099238C2214yescomplemented
71#19099237C2214yescomplemented
72#19099236C2214yescomplemented
73#19099236C2214yescomplemented
74#19099218C2214yescomplemented
75#19099217C2214yescomplemented
76#19099215C2214yescomplemented
77#19099213C2214yescomplemented
78#19099213C2214yescomplemented
79#19099212C2214yescomplemented
80#19099211C2214yescomplemented
81#19099211C2214yescomplemented
82#19099210C2214yescomplemented
83#19099208C2214yescomplemented
84#19099207C2214yescomplemented
85#19099207C2214yescomplemented
86#19099206C2214yescomplemented
87#19099205C2214yescomplemented
88#19099203C2214yescomplemented
89#19099203C2214yescomplemented
90#19099203C2214yescomplemented
91#19099203C2214yescomplemented
92#19099203C2214yescomplemented
93#19099202C2214yescomplemented
94#19099201C2214yescomplemented
95#19099200C2214yescomplemented
96#19099200C2214yescomplemented
97#19099200C2214yescomplemented
98#19099200C2214yescomplemented
99#19099200C2214yescomplemented
100D4×C22⋊D79C2214yescomplemented
101D4×C22⋊D79C2214yescomplemented
102#19099195C2214yescomplemented
103#19099195C2214yescomplemented
104#19099192C2212yescomplemented
105#19099191C2212yescomplemented
106#19099189C2212yescomplemented
107#19099189C2211yescharacteristic, complemented
108#19099188C2212yescomplemented
109#19099186C2214yescomplemented
110#19099184C2214yescomplemented
111#19099181C2214yescomplemented
112#19099177C2214yescomplemented
113#19099166C2214yescomplemented
114#19099165C2214yescomplemented
115#19099164C2214yescomplemented
116#19099163C2214yescomplemented
117#19099162C2212yescomplemented
118#19099159C2214yescomplemented
119#19099159C2214yescomplemented
120#19099158C2212yescomplemented
121#19099157C2214yescomplemented
122#19099157C2214yescomplemented
123#19099157C2214yescomplemented
124#19099156C2214yescomplemented
125#19099156C2214yescomplemented
126#19099155C2214yescomplemented
127#19099155C2214yescomplemented
128#19099154C2214yescomplemented
129#19099154C2214yescomplemented
130#19099153C2212yescomplemented
131#19099152C2214yescomplemented
132#19099151C2212yescomplemented
133#19099151C2212yescomplemented
134#19099151C2214yescomplemented
135#19099150C2212yescomplemented
136#19099148C2214yescomplemented
137#19099148C2214yescomplemented
138#19099148C2214yescomplemented
139#19099147C2214yescomplemented
140#19099146C2214yescomplemented
141#19099141C2212yescomplemented
142#19099140C2212yescomplemented
143#19099136C2214yescomplemented
144#19099133C2214yescomplemented
145#19099128C2214yescomplemented
146#19099125C2212yescomplemented
147#19099125C2211yescharacteristic, complemented
148#19099123C2214yes—
149#19099123C2214yescomplemented
150#19099122C2212yescomplemented
151#19099122C2212yescomplemented
152#19099121C2212yescomplemented
153#19099121C2214yescomplemented
154#19099096C2214yescomplemented
155#19099095C2214yescomplemented
156#19099092C2214yescomplemented
157#19099091C2214yescomplemented
158#19099076C2212yescomplemented
159#19099076C2212yescomplemented
160#19099075C2212yescomplemented
161#19099074C2212yescomplemented
162#19099074C2212yescomplemented
163#19099073C2214yescomplemented
164#19099073C2212yescomplemented
165#19099073C2212yescomplemented
166#19099072C2214yescomplemented
167#19099072C2214yescomplemented
168#19099072C2214yescomplemented
169#19099071C2214yescomplemented
170#19099070C2212yescomplemented
171#19099069C2214yescomplemented
172#19099069C2214yescomplemented
173#19099069C2214yescomplemented
174C2×#14579143C2214yescomplemented
175C2×#14579143C2214yescomplemented
176C2×#14579143C2212yescomplemented
177C2×#14579143C2214yescomplemented
178C2×#14579143C2214yescomplemented
179C2×#14579143C2212yescomplemented
180C2×#14579143C2212yescomplemented
181C2×#14579143C2212yescomplemented
182C2×#14579143C2214yescomplemented
183#123×D79C2214yescomplemented
184#123×D79C2214yescomplemented
185C22⋊Q8×D79C2212yescomplemented
186C22⋊Q8×D79C2212yescomplemented
187#121×D79C2212yescomplemented
188#121×D79C2212yescomplemented
189C2×#14579130C2212yescomplemented
190#120×D79C2214yescomplemented
191#19099046C2212yescomplemented
192#19099043C2212yescomplemented
193#19099042C2214yescomplemented
194#19099038C2212yescomplemented
195#19099036C2212yescomplemented
196#19099036C2212yescomplemented
197#19099036C2212yescomplemented
198#19099035C2214yescomplemented
199C4×D4×D79C2214yescomplemented
200C4×D4×D79C2214yescomplemented
201#117×D79C2212yescomplemented
202C22×C4⋊Dic79C2211yescharacteristic, complemented
203C22×Dic79⋊C4C2211yescharacteristic, complemented
204C22×C22⋊Dic79C2211yescharacteristic, 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
220#14579206—48no—
221C2×#11929625C2312yescomplemented
222C2×#11929624C2314yes—
223C2×#11929624C2312yes—
224C2×#11929624C2312yes—
225C2×#11929624C2314yescomplemented
226C2×#11929623C2314yes—
227C2×#11929623C2314yes—
228C2×#11929623C2314yes—
229C2×#11929623C2314yes—
230C2×#11929623C2312yescomplemented
231#41×D79—48no—
232C2×Q8×D79C2312yescomplemented
233C22×C22⋊D79—44no—
234C22×C22⋊D79C2312yes—
235C22×C22⋊D79C2314yes—
236C22×C22⋊D79C2312yes—
237C22×C22⋊D79C2312yes—
238C22×C22⋊D79C2312yes—
239C22×C22⋊D79C2312yes—
240C22×C22⋊D79C2314yes—
241C22×C22⋊D79C2312yes—
242C22×C22⋊D79C2312yes—
243C2×D4×D79C2314yes—
244C2×D4×D79C2314yes—
245C2×D4×D79C2314yes—
246C2×D4×D79C2314yes—
247C2×D4×D79C2312yescomplemented
248C23×Dic79C2311yescharacteristic
249C23×Dic79C2311yescharacteristic
250C23×Dic79C2311yescharacteristic
251C22×C4×D79—44no—
252C22×C4×D79C2312yes—
253C22×C4×D79C2312yes—
254C22×C4×D79C2312yes—
255C22×C4×D79C2312yes—
256C22×C4×D79C2312yes—
257C22×C4×D79C2312yes—
258C22×C4×D79C2314yescomplemented
259#14579161C2314yescomplemented
260#14579160C2314yescomplemented
261#14579160C2314yescomplemented
262#14579159C2314yescomplemented
263#14579157C2314yes—
264#14579157C2314yes—
265#14579156C2314yescomplemented
266#14579156C2314yescomplemented
267#14579156C2314yescomplemented
268#14579156C2314yescomplemented
269#14579156C2314yescomplemented
270#14579156C2314yescomplemented
271#14579155C2314yescomplemented
272#14579155C2314yescomplemented
273#14579154C2314yescomplemented
274#14579154C2314yescomplemented
275#14579154C2314yescomplemented
276#14579154C2314yescomplemented
277#14579154C2314yescomplemented
278#14579154C2314yescomplemented
279#14579154C2314yescomplemented
280#14579154C2314yescomplemented
281#14579154C2314yescomplemented
282#14579154C2314yescomplemented
283#14579153C2314yescomplemented
284#14579153C2314yescomplemented
285#14579152C2314yescomplemented
286#14579152C2314yescomplemented
287#14579152C2314yescomplemented
288#14579152C2314yescomplemented
289#14579151C2314yescomplemented
290#14579151C2314yescomplemented
291#14579151C2314yescomplemented
292#14579151C2314yescomplemented
293#14579151C2314yescomplemented
294#14579151C2314yescomplemented
295#14579150C2314yescomplemented
296#14579149C2314yescomplemented
297#14579148C2314yescomplemented
298#14579148C2314yescomplemented
299#14579147C2314yes—
300#14579147C2314yes—
301#14579147C2314yescomplemented
302#14579147C2314yescomplemented
303#14579147C2314yescomplemented
304#14579147C2314yescomplemented
305#14579147C2314yescomplemented
306#14579147C2314yescomplemented
307#14579146C2314yescomplemented
308#14579146C2314yescomplemented
309#14579146C2314yescomplemented
310#14579146C2314yescomplemented
311#14579146C2314yescomplemented
312#14579146C2314yescomplemented
313#14579145C2314yes—
314#14579145C2314yes—
315#14579145C2314yes—
316#14579145C2314yes—
317#14579145C2314yescomplemented
318#14579145C2314yescomplemented
319#14579145C2314yescomplemented
320#14579145C2314yescomplemented
321#14579144C2314yes—
322#14579144C2314yes—
323#14579144C2314yes—
324#14579144C2314yescomplemented
325#14579144C2314yescomplemented
326#14579144C2314yescomplemented
327#14579143C2314yes—
328#14579143C2314yes—
329#14579143C2314yes—
330#14579143C2314yes—
331#14579143C2314yes—
332#14579143C2314yes—
333#14579143C2314yes—
334#14579143C2314yes—
335#14579143C2314yes—
336#14579143C2314yes—
337#14579143C2314yes—
338#14579143C2314yes—
339#14579143C2314yes—
340#14579143C2314yes—
341#14579143C2314yes—
342#14579143C2314yes—
343#14579143C2314yes—
344#14579143C2314yes—
345#14579143C2314yescomplemented
346#14579143C2314yescomplemented
347#14579143C2314yescomplemented
348#14579143C2314yescomplemented
349#14579143C2314yescomplemented
350#14579143C2314yescomplemented
351#14579143C2314yescomplemented
352#14579143C2314yescomplemented
353#14579143C2314yescomplemented
354#14579143C2314yescomplemented
355#14579142C2314yes—
356#14579142C2314yes—
357#14579142C2314yes—
358#14579142C2314yescomplemented
359#14579142C2314yescomplemented
360#14579142C2314yescomplemented
361#14579142C2314yescomplemented
362#14579141C2314yescomplemented
363#14579141C2314yescomplemented
364#14579141C2312yescomplemented
365#14579141C2314yescomplemented
366#14579141C2312yescomplemented
367#14579140C2312yes—
368#14579140C2312yes—
369#14579140C2312yes—
370#14579140C2312yes—
371#14579140C2314yescomplemented
372#14579140C2314yescomplemented
373#14579140C2314yescomplemented
374#14579140C2314yescomplemented
375#14579139C2314yescomplemented
376#14579139C2314yescomplemented
377#14579139C2314yescomplemented
378#14579139C2314yescomplemented
379#14579139C2314yescomplemented
380#14579139C2314yescomplemented
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yescomplemented
388#14579138C2314yescomplemented
389#14579138C2314yescomplemented
390#14579138C2314yescomplemented
391#14579138C2314yescomplemented
392#14579138C2314yescomplemented
393#14579138C2314yescomplemented
394#14579138C2314yescomplemented
395#14579137C2314yescomplemented
396#14579137C2314yescomplemented
397#14579137C2312yescomplemented
398#14579137C2314yescomplemented
399#14579137C2312yescomplemented
400#14579136C2312yescomplemented
401#14579136C2314yescomplemented
402#14579136C2312yescomplemented
403#14579135C2312yes—
404#14579135C2312yes—
405#14579135C2312yes—
406#14579135C2314yes—
407#14579135C2314yes—
408#14579135C2312yes—
409#14579135C2314yescomplemented
410#14579135C2314yescomplemented
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yescomplemented
416#14579134C2314yescomplemented
417#14579134C2314yescomplemented
418#14579134C2314yescomplemented
419#14579134C2314yescomplemented
420#14579134C2314yescomplemented
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yescomplemented
432#14579133C2314yescomplemented
433#14579133C2314yescomplemented
434#14579133C2314yescomplemented
435#14579132C2314yes—
436#14579132C2314yes—
437#14579132C2314yescomplemented
438#14579132C2312yescomplemented
439#14579132C2314yescomplemented
440#14579132C2314yescomplemented
441#14579132C2312yescomplemented
442#14579131C2314yes—
443#14579131C2314yes—
444#14579131C2314yes—
445#14579131C2314yes—
446#14579131C2314yescomplemented
447#14579131C2314yescomplemented
448#14579130C2314yes—
449#14579130C2314yes—
450#14579130C2314yes—
451#14579130C2314yes—
452#14579130C2314yes—
453#14579130C2314yescomplemented
454#14579129C2314yes—
455#14579129C2314yes—
456#14579129C2314yes—
457#14579129C2314yes—
458#14579129C2314yes—
459#14579129C2314yescomplemented
460#14579129C2314yescomplemented
461Q8×Dic79C2314yescomplemented
462C4×Dic158C2314yescomplemented
463C4×Dic158C2314yescomplemented
464#14579126C2314yescomplemented
465C4×D316C2314yescomplemented
466C4×D316C2314yescomplemented
467C4×D316C2314yescomplemented
468C4×D316C2314yescomplemented
469D4×Dic79C2314yes—
470D4×Dic79C2314yes—
471D4×Dic79C2314yes—
472D4×Dic79C2314yes—
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yescomplemented
476D4×Dic79C2314yescomplemented
477D4×Dic79C2314yescomplemented
478#14579123C2314yescomplemented
479#14579123C2314yescomplemented
480#14579123C2314yescomplemented
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2314yes—
483C4×C22⋊D79C2314yes—
484C4×C22⋊D79C2314yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yescomplemented
488C4×C22⋊D79C2314yescomplemented
489C4×C22⋊D79C2314yescomplemented
490C4×C22⋊D79C2314yescomplemented
491C4×C22⋊D79C2314yescomplemented
492C4×C22⋊D79C2314yescomplemented
493(C22⋊D79)⋊C4C2314yes—
494(C22⋊D79)⋊C4C2314yes—
495(C22⋊D79)⋊C4C2314yes—
496(C22⋊D79)⋊C4C2314yes—
497(C22⋊D79)⋊C4C2314yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yescomplemented
502(C22⋊D79)⋊C4C2314yescomplemented
503(C22⋊D79)⋊C4C2314yescomplemented
504(C22⋊D79)⋊C4C2314yescomplemented
505(C22⋊D79)⋊C4C2314yescomplemented
506(C22⋊D79)⋊C4C2314yescomplemented
507#14579120C2312yes—
508#14579120C2312yes—
509#14579120C2314yescomplemented
510#14579120C2314yescomplemented
511#14579119C2314yescomplemented
512#14579119C2314yescomplemented
513#14579119C2312yescomplemented
514#14579119C2312yescomplemented
515#14579118C2314yescomplemented
516#14579118C2314yescomplemented
517#14579118C2314yescomplemented
518#14579117C2314yes—
519#14579117C2314yes—
520#14579117C2314yes—
521#14579117C2314yescomplemented
522#14579117C2314yescomplemented
523#14579117C2314yescomplemented
524C2×C4⋊Dic79C2312yes—
525C2×C4⋊Dic79C2312yes—
526C2×C4⋊Dic79C2314yes—
527C2×C4⋊Dic79C2312yes—
528C2×C4⋊Dic79C2312yes—
529C2×C4⋊Dic79C2314yescomplemented
530C2×Dic79⋊C4C2312yes—
531C2×Dic79⋊C4C2312yes—
532C2×Dic79⋊C4C2314yes—
533C2×Dic79⋊C4C2314yes—
534C2×Dic79⋊C4C2314yescomplemented
535C4⋊C4×D79C2312yescomplemented
536C4⋊C4×D79C2314yescomplemented
537C4⋊C4×D79C2312yescomplemented
538C4⋊C4×D79C2314yescomplemented
539C4⋊C4×D79C2314yescomplemented
540C4⋊C4×D79C2314yescomplemented
541C2×C22⋊Dic79C2312yes—
542C2×C22⋊Dic79C2312yes—
543C2×C22⋊Dic79C2312yes—
544C2×C22⋊Dic79C2312yes—
545C2×C22⋊Dic79C2312yes—
546C2×C22⋊Dic79C2314yes—
547C2×C22⋊Dic79C2312yes—
548C2×C22⋊Dic79C2312yes—
549C2×C22⋊Dic79C2314yescomplemented
550C2×(C2×D79)⋊C4C2312yes—
551C2×(C2×D79)⋊C4C2312yes—
552C2×(C2×D79)⋊C4C2314yes—
553C2×(C2×D79)⋊C4C2312yes—
554C2×(C2×D79)⋊C4C2312yes—
555C2×(C2×D79)⋊C4C2314yescomplemented
556C22⋊C4×D79C2314yes—
557C22⋊C4×D79C2314yes—
558C22⋊C4×D79C2314yes—
559C22⋊C4×D79C2314yescomplemented
560C22⋊C4×D79C2314yescomplemented
561C22⋊C4×D79C2314yescomplemented
562C22⋊C4×D79C2314yescomplemented
563C22⋊C4×D79C2314yescomplemented
564C42×D79C2314yescomplemented
565C25×C79C2311yescharacteristic
566C2×#41×C79C2312yes—
567C2×#41×C79C2312yes—
568C22×D4×C79C2312yes—
569C22×D4×C79C2312yes—
570C22×D4×C79C2312yes—
571C23×C4×C79C2311yescharacteristic
572C23×C4×C79C2311yescharacteristic
573#126×C79C2314yescomplemented
574#126×C79C2314yescomplemented
575#124×C79C2314yescomplemented
576#124×C79C2314yescomplemented
577#123×C79C2314yes—
578#123×C79C2314yes—
579#123×C79C2314yescomplemented
580#123×C79C2314yescomplemented
581#123×C79C2314yescomplemented
582C22⋊Q8×C79C2312yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2312yes—
585C22⋊Q8×C79C2312yes—
586C22⋊Q8×C79C2314yescomplemented
587C22⋊Q8×C79C2314yescomplemented
588#121×C79C2312yes—
589#121×C79C2312yes—
590#121×C79C2312yes—
591#121×C79C2312yes—
592#121×C79C2314yescomplemented
593#121×C79C2314yescomplemented
594#120×C79C2314yes—
595#120×C79C2314yes—
596#120×C79C2314yes—
597#120×C79C2314yes—
598#120×C79C2314yescomplemented
599C4×D4×C79C2314yes—
600C4×D4×C79C2314yes—
601C4×D4×C79C2314yes—
602C4×D4×C79C2314yes—
603C4×D4×C79C2314yescomplemented
604C4×D4×C79C2314yescomplemented
605#117×C79C2312yes—
606#117×C79C2312yes—
607#117×C79C2314yescomplemented
608C2×C22⋊C4×C79C2311yescharacteristic
609C2×C22⋊C4×C79C2311yescharacteristic
610C2×C22⋊C4×C79C2312yes—
611C2×C22⋊C4×C79C2311yescharacteristic
612C2×C22⋊C4×C79C2312yes—
613C2×C22⋊C4×C79C2314yes—
614C2×C22⋊C4×C79C2314yes—
615C2×C22⋊C4×C79C2311yescharacteristic
616C2×C22⋊C4×C79C2312yes—
617C2×C22⋊C4×C79C2314yescomplemented
618C23×D79—24no—
619C23×D79—42no—
620C23×D79—42no—
621C23×D79C2412yes—
622C23×D79C2412yes—
623C23×D79C2411yescharacteristic
624C23×D79C2414yes—
625C23×D79C2412yes—
626C23×D79C2411yescharacteristic
627#11929625—44no—
628#11929624—44no—
629#11929624—44no—
630#11929624—48no—
631#11929624—48no—
632#11929623—44no—
633#11929623—48no—
634#11929623—48no—
635#11929623—48no—
636#11929623—48no—
637C2×Dic158C2414yes—
638C2×Dic158C2412yes—
639C2×Dic158C2414yes—
640C2×Dic158C2414yes—
641C2×Dic158C2412yes—
642Q8×D79—44no—
643C2×D316C2414yes—
644C2×D316C2412yes—
645C2×D316C2412yes—
646C2×D316C2414yes—
647C2×D316C2414yes—
648C2×C22⋊D79—28no—
649C2×C22⋊D79—48no—
650C2×C22⋊D79—44no—
651C2×C22⋊D79—48no—
652C2×C22⋊D79—44no—
653C2×C22⋊D79—44no—
654C2×C22⋊D79—44no—
655C2×C22⋊D79—44no—
656C2×C22⋊D79—44no—
657C2×C22⋊D79C2414yes—
658C2×C22⋊D79C2414yes—
659C2×C22⋊D79C2414yes—
660C2×C22⋊D79C2414yes—
661C2×C22⋊D79C2414yes—
662C2×C22⋊D79C2414yes—
663C2×C22⋊D79C2414yes—
664C2×C22⋊D79C2414yes—
665C2×C22⋊D79C2414yes—
666C2×C22⋊D79C2414yes—
667C2×C22⋊D79C2414yes—
668C2×C22⋊D79C2414yes—
669C2×C22⋊D79C2414yes—
670C2×C22⋊D79C2414yes—
671C2×C22⋊D79C2414yes—
672C2×C22⋊D79C2414yes—
673D4×D79—216no—
674D4×D79—48no—
675D4×D79—48no—
676D4×D79—48no—
677D4×D79—44no—
678C22×Dic79—42no—
679C22×Dic79—42no—
680C22×Dic79—42no—
681C22×Dic79C2412yes—
682C22×Dic79C2412yes—
683C22×Dic79C2412yes—
684C22×Dic79C2412yes—
685C22×Dic79C2414yes—
686C22×Dic79C2414yes—
687C22×Dic79C2414yes—
688C22×Dic79C2412yes—
689C22×Dic79C2412yes—
690C22×Dic79C2411yescharacteristic
691C22×Dic79C2412yes—
692C22×Dic79C2411yescharacteristic
693C22×Dic79C2412yes—
694C22×Dic79C2412yes—
695C22×Dic79C2412yes—
696C22×Dic79C2412yes—
697C2×C4×D79—28no—
698C2×C4×D79—44no—
699C2×C4×D79—48no—
700C2×C4×D79—44no—
701C2×C4×D79—44no—
702C2×C4×D79—44no—
703C2×C4×D79—44no—
704C2×C4×D79C2414yes—
705C2×C4×D79C2412yes—
706C2×C4×D79C2412yes—
707C2×C4×D79C2412yes—
708C2×C4×D79C2412yes—
709C2×C4×D79C2414yes—
710C2×C4×D79C2414yes—
711C2×C4×D79C2414yes—
712C2×C4×D79C2414yes—
713C2×C4×D79C2414yes—
714C2×C4×D79C2414yes—
715C2×C4×D79C2414yes—
716C2×C4×D79C2412yes—
717C2×C4×D79C2412yes—
718C2×C4×D79C2412yes—
719C2×C4×D79C2412yes—
720C4⋊Dic79C2414yes—
721C4⋊Dic79C2414yes—
722C4⋊Dic79C2412yes—
723C4⋊Dic79C2412yes—
724C4⋊Dic79C2414yes—
725C4⋊Dic79C2414yes—
726C4⋊Dic79C2414yes—
727C4⋊Dic79C2414yes—
728C4⋊Dic79C2414yes—
729C4⋊Dic79C2412yes—
730C4⋊Dic79C2414yes—
731C4⋊Dic79C2414yes—
732C4⋊Dic79C2412yes—
733C4⋊Dic79C2414yes—
734Dic79⋊C4C2414yes—
735Dic79⋊C4C2414yes—
736Dic79⋊C4C2414yes—
737Dic79⋊C4C2414yes—
738Dic79⋊C4C2414yes—
739Dic79⋊C4C2414yes—
740Dic79⋊C4C2414yes—
741Dic79⋊C4C2414yes—
742Dic79⋊C4C2414yes—
743Dic79⋊C4C2414yes—
744Dic79⋊C4C2414yes—
745Dic79⋊C4C2414yes—
746Dic79⋊C4C2414yes—
747Dic79⋊C4C2414yes—
748Dic79⋊C4C2414yes—
749Dic79⋊C4C2414yes—
750Dic79⋊C4C2414yes—
751Dic79⋊C4C2414yes—
752Dic79⋊C4C2414yes—
753Dic79⋊C4C2414yes—
754C22⋊Dic79C2414yes—
755C22⋊Dic79C2414yes—
756C22⋊Dic79C2414yes—
757C22⋊Dic79C2414yes—
758C22⋊Dic79C2414yes—
759C22⋊Dic79C2414yes—
760C22⋊Dic79C2414yes—
761C22⋊Dic79C2414yes—
762C22⋊Dic79C2414yes—
763C22⋊Dic79C2414yes—
764C22⋊Dic79C2414yes—
765C22⋊Dic79C2414yes—
766C22⋊Dic79C2414yes—
767C22⋊Dic79C2414yes—
768C22⋊Dic79C2414yes—
769C22⋊Dic79C2414yes—
770(C2×D79)⋊C4C2414yes—
771(C2×D79)⋊C4C2414yes—
772(C2×D79)⋊C4C2414yes—
773(C2×D79)⋊C4C2414yes—
774(C2×D79)⋊C4C2414yes—
775(C2×D79)⋊C4C2414yes—
776(C2×D79)⋊C4C2414yes—
777(C2×D79)⋊C4C2414yes—
778(C2×D79)⋊C4C2414yes—
779(C2×D79)⋊C4C2414yes—
780(C2×D79)⋊C4C2414yes—
781(C2×D79)⋊C4C2414yes—
782(C2×D79)⋊C4C2414yes—
783(C2×D79)⋊C4C2414yes—
784(C2×D79)⋊C4C2414yes—
785(C2×D79)⋊C4C2414yes—
786(C2×D79)⋊C4C2414yes—
787(C2×D79)⋊C4C2414yes—
788(C2×D79)⋊C4C2414yes—
789(C2×D79)⋊C4C2414yes—
790C4×Dic79C2414yes—
791C4×Dic79C2414yes—
792C4×Dic79C2414yes—
793C4×Dic79C2414yes—
794C4×Dic79C2414yes—
795C4×Dic79C2414yes—
796C4×Dic79C2414yes—
797C4×Dic79C2414yes—
798C24×C79—42no—
799C24×C79—42no—
800C24×C79—42no—
801C24×C79C2411yescharacteristic
802C24×C79C2411yescharacteristic
803C24×C79C2412yes—
804C24×C79C2412yes—
805C24×C79C2411yescharacteristic
806C24×C79C2412yes—
807#41×C79—44no—
808#41×C79—44no—
809C2×Q8×C79C2412yes—
810C2×Q8×C79C2412yes—
811C2×D4×C79—44no—
812C2×D4×C79—44no—
813C2×D4×C79—44no—
814C2×D4×C79C2414yes—
815C2×D4×C79C2414yes—
816C2×D4×C79C2414yes—
817C2×D4×C79C2414yes—
818C2×D4×C79C2412yes—
819C2×D4×C79C2414yes—
820C2×D4×C79C2414yes—
821C2×D4×C79C2412yes—
822C22×C4×C79—42no—
823C22×C4×C79—42no—
824C22×C4×C79C2412yes—
825C22×C4×C79C2412yes—
826C22×C4×C79C2412yes—
827C22×C4×C79C2414yes—
828C22×C4×C79C2412yes—
829C22×C4×C79C2411yescharacteristic
830C22×C4×C79C2411yescharacteristic
831C22×C4×C79C2412yes—
832C22×C4×C79C2412yes—
833C22×C4×C79C2412yes—
834C22×C4×C79C2411yescharacteristic
835C22×C4×C79C2411yescharacteristic
836C22×C4×C79C2414yes—
837C4⋊C4×C79C2412yes—
838C4⋊C4×C79C2412yes—
839C4⋊C4×C79C2412yes—
840C4⋊C4×C79C2412yes—
841C4⋊C4×C79C2414yes—
842C4⋊C4×C79C2414yes—
843C4⋊C4×C79C2414yes—
844C4⋊C4×C79C2414yes—
845C22⋊C4×C79C2414yes—
846C22⋊C4×C79C2414yes—
847C22⋊C4×C79C2414yes—
848C22⋊C4×C79C2414yes—
849C22⋊C4×C79C2414yes—
850C22⋊C4×C79C2414yes—
851C22⋊C4×C79C2414yes—
852C22⋊C4×C79C2414yes—
853C22⋊C4×C79C2414yes—
854C22⋊C4×C79C2414yes—
855C22⋊C4×C79C2414yes—
856C22⋊C4×C79C2414yes—
857C22⋊C4×C79C2414yes—
858C22⋊C4×C79C2414yes—
859C42×C79C2414yes—
860C42×C79C2414yes—
861C23×C79—22no—
862C23×C79—22no—
863C23×C79—22no—
864C23×C79—24no—
865C23×C79—22no—
866C23×C79—24no—
867C23×C79—22no—
868C23×C79—41no—
869C23×C79—42no—
870C23×C79—41no—
871C23×C79—41no—
872C23×C79—42no—
873C23×C79—41no—
874C23×C79—42no—
875C23×C79—42no—
876C23×C79—42no—
877C23×C79—42no—
878C23×C79—42no—
879C23×C79—88no—
880C23×C79C2512yes—
881C23×C79C2512yes—
882C23×C79C2514yes—
883C23×C79C2511yescharacteristic
884C23×C79C2511yescharacteristic
885C23×C79C2511yescharacteristic
886C22×D79—22no—
887C22×D79—24no—
888C22×D79—24no—
889C22×D79—24no—
890C22×D79—24no—
891C22×D79—28no—
892C22×D79—41no—
893C22×D79—41no—
894C22×D79—42no—
895C22×D79—42no—
896C22×D79—41no—
897C22×D79—41no—
898C22×D79—44no—
899C22×D79—44no—
900C22×D79—42no—
901C22×D79—42no—
902C22×D79—42no—
903C22×D79—416no—
904C22×D79H(5,𝔽2)14yes—
905C22×D79C2512yes—
906C22×D79C2514yes—
907C22×D79C2512yes—
908Q8×C79—42no—
909Q8×C79—42no—
910D4×C79—28no—
911D4×C79—28no—
912D4×C79—28no—
913D4×C79—44no—
914D4×C79—42no—
915D4×C79—44no—
916D4×C79—44no—
917D4×C79—42no—
918C2×C4×C79—24no—
919C2×C4×C79—24no—
920C2×C4×C79—41no—
921C2×C4×C79—42no—
922C2×C4×C79—41no—
923C2×C4×C79—44no—
924C2×C4×C79—42no—
925C2×C4×C79—41no—
926C2×C4×C79—42no—
927C2×C4×C79—41no—
928C2×C4×C79—42no—
929C2×C4×C79—42no—
930C2×C4×C79—44no—
931C2×C4×C79C2514yes—
932C2×C4×C79C2512yes—
933C2×C4×C79C2514yes—
934C2×C4×C79C2512yes—
935C2×C4×C79C2514yes—
936C2×C4×C79C2512yes—
937C2×C4×C79C2512yes—
938C22⋊D79—28no—
939C22⋊D79—28no—
940C22⋊D79—28no—
941C22⋊D79—28no—
942C22⋊D79—28no—
943C22⋊D79—28no—
944C22⋊D79—44no—
945C22⋊D79—44no—
946C22⋊D79—44no—
947C22⋊D79—44no—
948C22⋊D79—44no—
949C22⋊D79—44no—
950C22⋊D79—44no—
951C22⋊D79—44no—
952C22⋊D79—44no—
953C22⋊D79—44no—
954C2×Dic79—24no—
955C2×Dic79—24no—
956C2×Dic79—24no—
957C2×Dic79—41no—
958C2×Dic79—42no—
959C2×Dic79—41no—
960C2×Dic79—44no—
961C2×Dic79—42no—
962C2×Dic79—42no—
963C2×Dic79—42no—
964C2×Dic79—42no—
965C2×Dic79—42no—
966C2×Dic79—42no—
967C2×Dic79—44no—
968C2×Dic79—42no—
969C2×Dic79—44no—
970C2×Dic79C2514yes—
971C2×Dic79C2514yes—
972C2×Dic79C2512yes—
973C2×Dic79C2514yes—
974C2×Dic79C2514yes—
975C2×Dic79C2514yes—
976C2×Dic79C2512yes—
977D316—28no—
978D316—44no—
979D316—44no—
980D316—42no—
981D316—42no—
982C4×D79—24no—
983C4×D79—24no—
984C4×D79—24no—
985C4×D79—24no—
986C4×D79—28no—
987C4×D79—42no—
988C4×D79—42no—
989C4×D79—42no—
990C4×D79—42no—
991C4×D79—44no—
992C4×D79—44no—
993C4×D79—44no—
994C4×D79—44no—
995C4×D79—44no—
996C4×D79—44no—
997C4×D79—44no—
998Dic158—42no—
999Dic158—44no—
1000Dic158—44no—
1001Dic158—44no—
1002Dic158—42no—
1003C22×C79—28no—
1004C22×C79—21no—
1005C22×C79—21no—
1006C22×C79—21no—
1007C22×C79—21no—
1008C22×C79—21no—
1009C22×C79—21no—
1010C22×C79—22no—
1011C22×C79—22no—
1012C22×C79—24no—
1013C22×C79—22no—
1014C22×C79—24no—
1015C22×C79—22no—
1016C22×C79—24no—
1017C22×C79—22no—
1018C22×C79—22no—
1019C22×C79—84no—
1020C22×C79—82no—
1021C22×C79—84no—
1022C22×C79—82no—
1023C22×C79—162no—
1024C22×C79C2×H(5,𝔽2)12yes—
1025C22×C79#58512yes—
1026C22×C79#58512yes—
1027C22×C79C2611yescharacteristic
1028C2×D79—22no—
1029C2×D79—22no—
1030C2×D79—24no—
1031C2×D79—22no—
1032C2×D79—24no—
1033C2×D79—24no—
1034C2×D79—22no—
1035C2×D79—22no—
1036C2×D79—44no—
1037C2×D79—48no—
1038C2×D79—48no—
1039C2×D79—44no—
1040C2×D79—88no—
1041C2×D79—162no—
1042C2×D79C2×H(5,𝔽2)14yes—
1043C4×C79—22no—
1044C4×C79—22no—
1045C4×C79—24no—
1046C4×C79—22no—
1047C4×C79—22no—
1048C4×C79—24no—
1049C4×C79—24no—
1050Dic79—24no—
1051Dic79—24no—
1052Dic79—22no—
1053Dic79—22no—
1054Dic79—24no—
1055Dic79—24no—
1056Dic79—24no—
1057#62820—791nomaximal, Sylow
1058C2×C79—22no—
1059C2×C79—22no—
1060C2×C79—22no—
1061C2×C79—44no—
1062C2×C79—42no—
1063C2×C79—42no—
1064C2×C79C22×H(5,𝔽2)11yescharacteristic
1065C2×C79C2×#58511yescharacteristic
1066C2×C79C2×#58511yescharacteristic
1067D79—24no—
1068D79—42no—
1069D79—44no—
1070#3535—794no—
1071#3535—792no—
1072#3535—792no—
1073#3534—794no—
1074#3534—792no—
1075#3534—792no—
1076#3533—794no—
1077#3533—794no—
1078#3513—794no—
1079#3513—794no—
1080#3513—794no—
1081#3513—794no—
1082#3492—792no—
1083#3492—792no—
1084#3491—794no—
1085#3490—792no—
1086#3490—792no—
1087#3490—791no—
1088#3490D7911yescharacteristic, complemented
1089#3485—794no—
1090#3484—792no—
1091C2×#525—792no—
1092C22×#123—791no—
1093C79#6282011yescharacteristic, complemented, Sylow
1094C2×H(5,𝔽2)—792no—
1095C22×#41—792no—
1096C23×D4—791no—
1097C24×C4—791no—
1098#563—794no—
1099#563—794no—
1100#562—794no—
1101#562—794no—
1102#562—794no—
1103#562—794no—
1104#560—794no—
1105#560—794no—
1106#559—794no—
1107#559—794no—
1108#554—794no—
1109#554—794no—
1110#554—794no—
1111#554—794no—
1112#553—794no—
1113#553—794no—
1114#553—794no—
1115#553—794no—
1116#553—794no—
1117#553—794no—
1118#553—794no—
1119#553—794no—
1120#552—794no—
1121#552—794no—
1122#552—794no—
1123#552—794no—
1124#552—794no—
1125#552—794no—
1126#552—794no—
1127#552—794no—
1128#551—794no—
1129#551—794no—
1130#551—794no—
1131#551—794no—
1132#551—794no—
1133#551—794no—
1134#551—794no—
1135#551—794no—
1136#551—794no—
1137#551—794no—
1138#551—794no—
1139#551—794no—
1140#551—794no—
1141#551—794no—
1142#551—794no—
1143#551—794no—
1144#551C2×D7914yescomplemented
1145#551C2×D7914yescomplemented
1146#547—794no—
1147#547—794no—
1148#547—794no—
1149#547—794no—
1150#547—794no—
1151#547—794no—
1152#547—794no—
1153#547—794no—
1154#546—794no—
1155#546—794no—
1156#546—794no—
1157#546—794no—
1158#546—794no—
1159#546—794no—
1160#546—794no—
1161#546—794no—
1162#546—794no—
1163#546—794no—
1164#546—794no—
1165#546—794no—
1166#546—794no—
1167#546—794no—
1168#546—794no—
1169#546—794no—
1170#546—794no—
1171#546—794no—
1172#546C2×D7914yescomplemented
1173#546C2×D7914yescomplemented
1174D42—794no—
1175D42—794no—
1176D42—794no—
1177D42—794no—
1178#544—792no—
1179#544—792no—
1180#543—792no—
1181#543—792no—
1182#543—791no—
1183#543C2×D7911yescharacteristic, complemented
1184#542—794no—
1185#542—794no—
1186#542—794no—
1187#542—794no—
1188#540—794no—
1189#540—794no—
1190#540—794no—
1191#540—794no—
1192#539—794no—
1193#539—794no—
1194#539—794no—
1195#539—794no—
1196#539—794no—
1197#539—794no—
1198#539—794no—
1199#539—792no—
1200#539—794no—
1201#539—794no—
1202#539—792no—
1203#539—794no—
1204#539—794no—
1205#538—794no—
1206#538—794no—
1207#538—792no—
1208#538—792no—
1209#538—794no—
1210#538—794no—
1211#538—794no—
1212#538—794no—
1213#538—792no—
1214#538—792no—
1215#538—794no—
1216#538C2×D7912yescomplemented
1217#538C2×D7912yescomplemented
1218#537—792no—
1219#537—792no—
1220#536—794no—
1221#536—794no—
1222#535—794no—
1223#534—792no—
1224#534—792no—
1225#534—792no—
1226#534—794no—
1227#534—794no—
1228#534—794no—
1229#534—792no—
1230#534—791no—
1231#534C2×D7911yescharacteristic, complemented
1232#529—794no—
1233#529—794no—
1234#529—794no—
1235#529—794no—
1236#525—792no—
1237#525—792no—
1238#525—792no—
1239#525—794no—
1240#525—792no—
1241#525—792no—
1242#525—792no—
1243#525—792no—
1244#525—794no—
1245#525—794no—
1246#525—794no—
1247#525—794no—
1248#525—794no—
1249#525—794no—
1250#525—794no—
1251#525—792no—
1252#525C2×D7912yescomplemented
1253#525C2×D7912yescomplemented
1254C2×#123—794no—
1255C2×#123—794no—
1256C2×#123—794no—
1257C2×#123—794no—
1258C2×#123—792no—
1259C2×#123—792no—
1260C2×#123—794no—
1261C2×#123—794no—
1262C2×#123—792no—
1263C2×#123—792no—
1264C2×#123—794no—
1265C2×C22⋊Q8—792no—
1266C2×C22⋊Q8—792no—
1267C2×#121—792no—
1268C2×#121—792no—
1269C2×#120—792no—
1270C2×#120—794no—
1271C2×#120C2×D7912yescomplemented
1272#520—792no—
1273#520—794no—
1274#520—792no—
1275#518—792no—
1276#518—794no—
1277#518—792no—
1278#518—792no—
1279#518—792no—
1280#518C2×D7912yescomplemented
1281C2×C4×D4—794no—
1282C2×C4×D4—794no—
1283C2×#117—792no—
1284C22×C4⋊C4—791no—
1285C22×C4⋊C4—791no—
1286C22×C22⋊C4—791no—
1287C22×C22⋊C4—791no—
1288C22×C22⋊C4C2×D7911yescharacteristic, complemented
1289C25—791no—
1290C25C22×D7911yescharacteristic
1291H(5,𝔽2)—3168no—
1292C2×#41—3168no—
1293C2×#41—792no—
1294C2×#41—794no—
1295C2×#41—794no—
1296C2×#41—794no—
1297C2×#41—794no—
1298C2×#41—792no—
1299C2×#41—792no—
1300C2×#41—792no—
1301C2×#41—794no—
1302C2×#41—794no—
1303C2×#41C22×D7912yes—
1304C2×#41C22×D7912yes—
1305C22×Q8—792no—
1306C22×D4—3164no—
1307C22×D4—792no—
1308C22×D4—792no—
1309C22×D4—792no—
1310C22×D4—792no—
1311C22×D4—792no—
1312C22×D4—794no—
1313C22×D4—792no—
1314C22×D4—794no—
1315C22×D4—794no—
1316C22×D4—794no—
1317C22×D4—792no—
1318C22×D4—794no—
1319C22×D4—792no—
1320C22×D4—794no—
1321C22×D4C22×D7912yes—
1322C22×D4C22×D7912yes—
1323C22×D4C22×D7912yes—
1324C23×C4—3164no—
1325C23×C4—791no—
1326C23×C4—791no—
1327C23×C4—791no—
1328C23×C4—792no—
1329C23×C4—792no—
1330C23×C4—794no—
1331C23×C4—792no—
1332C23×C4—792no—
1333C23×C4—792no—
1334C23×C4—792no—
1335C23×C4C22×D7911yescharacteristic
1336C23×C4C22×D7911yescharacteristic
1337C4⋊Q8—794no—
1338C4⋊Q8—794no—
1339C4⋊Q8—794no—
1340C4⋊Q8—794no—
1341#127—794no—
1342#127—794no—
1343#126—794no—
1344#126—794no—
1345#126—794no—
1346#126—794no—
1347#126—794no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126—794no—
1352#126—794no—
1353#126—794no—
1354#126—794no—
1355#126—794no—
1356#126—794no—
1357#126—794no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126C22×D7914yescomplemented
1362#126C22×D7914yescomplemented
1363#125—794no—
1364#125—794no—
1365#125—794no—
1366#125—794no—
1367#125—794no—
1368#125—794no—
1369#125—794no—
1370#125—794no—
1371#125—794no—
1372#125—794no—
1373#125—794no—
1374#125—794no—
1375#124—794no—
1376#124—794no—
1377#124—794no—
1378#124—794no—
1379#124—794no—
1380#124—794no—
1381#124—794no—
1382#124—794no—
1383#124—794no—
1384#124—794no—
1385#124—794no—
1386#124—794no—
1387#124C22×D7914yescomplemented
1388#124C22×D7914yescomplemented
1389#123—794no—
1390#123—794no—
1391#123—794no—
1392#123—794no—
1393#123—794no—
1394#123—794no—
1395#123—794no—
1396#123—794no—
1397#123—794no—
1398#123—794no—
1399#123—794no—
1400#123—794no—
1401#123—794no—
1402#123—794no—
1403#123—794no—
1404#123—794no—
1405#123—794no—
1406#123—794no—
1407#123—794no—
1408#123—794no—
1409#123—794no—
1410#123—794no—
1411#123—794no—
1412#123—794no—
1413#123—794no—
1414#123—794no—
1415#123—794no—
1416#123—794no—
1417#123—794no—
1418#123—794no—
1419#123—794no—
1420#123—794no—
1421#123—794no—
1422#123—794no—
1423#123—794no—
1424#123—794no—
1425#123—794no—
1426#123—794no—
1427#123—794no—
1428#123—794no—
1429#123—794no—
1430#123—794no—
1431#123—794no—
1432#123—794no—
1433#123—794no—
1434#123—794no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123C22×D7914yes—
1445#123C22×D7914yes—
1446#123C22×D7914yescomplemented
1447#123C22×D7914yescomplemented
1448#123C22×D7914yescomplemented
1449C22⋊Q8—792no—
1450C22⋊Q8—792no—
1451C22⋊Q8—794no—
1452C22⋊Q8—794no—
1453C22⋊Q8—794no—
1454C22⋊Q8—792no—
1455C22⋊Q8—792no—
1456C22⋊Q8—792no—
1457C22⋊Q8—792no—
1458C22⋊Q8—794no—
1459C22⋊Q8—794no—
1460C22⋊Q8—794no—
1461C22⋊Q8—794no—
1462C22⋊Q8—794no—
1463C22⋊Q8—792no—
1464C22⋊Q8—794no—
1465C22⋊Q8—792no—
1466C22⋊Q8—794no—
1467C22⋊Q8—794no—
1468C22⋊Q8—794no—
1469C22⋊Q8—794no—
1470C22⋊Q8—794no—
1471C22⋊Q8—794no—
1472C22⋊Q8—794no—
1473C22⋊Q8—794no—
1474C22⋊Q8—794no—
1475C22⋊Q8—794no—
1476C22⋊Q8—794no—
1477C22⋊Q8—794no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—794no—
1481C22⋊Q8—794no—
1482C22⋊Q8—794no—
1483C22⋊Q8—794no—
1484C22⋊Q8—794no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8C22×D7912yes—
1488C22⋊Q8C22×D7912yes—
1489C22⋊Q8C22×D7912yes—
1490C22⋊Q8C22×D7912yes—
1491C22⋊Q8C22×D7914yescomplemented
1492C22⋊Q8C22×D7914yescomplemented
1493#121—794no—
1494#121—792no—
1495#121—794no—
1496#121—792no—
1497#121—794no—
1498#121—794no—
1499#121—794no—
1500#121—794no—
1501#121—794no—
1502#121—794no—
1503#121—794no—
1504#121—794no—
1505#121—794no—
1506#121—794no—
1507#121—794no—
1508#121—794no—
1509#121—794no—
1510#121—794no—
1511#121—794no—
1512#121—794no—
1513#121—794no—
1514#121—792no—
1515#121—792no—
1516#121—792no—
1517#121—792no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—794no—
1522#121—792no—
1523#121—792no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—794no—
1529#121—794no—
1530#121—794no—
1531#121—794no—
1532#121—794no—
1533#121—794no—
1534#121—794no—
1535#121C22×D7912yes—
1536#121C22×D7912yes—
1537#121C22×D7912yes—
1538#121C22×D7912yes—
1539#121C22×D7914yescomplemented
1540#121C22×D7914yescomplemented
1541#120—794no—
1542#120—794no—
1543#120—794no—
1544#120—794no—
1545#120—794no—
1546#120—794no—
1547#120—794no—
1548#120—794no—
1549#120—794no—
1550#120—794no—
1551#120—794no—
1552#120—794no—
1553#120—794no—
1554#120—794no—
1555#120—794no—
1556#120—794no—
1557#120—794no—
1558#120—794no—
1559#120—794no—
1560#120C22×D7914yes—
1561#120C22×D7914yes—
1562#120C22×D7914yes—
1563#120C22×D7914yes—
1564#120C22×D7914yescomplemented
1565C4×Q8—794no—
1566C4×Q8—794no—
1567C4×Q8—794no—
1568C4×Q8—794no—
1569C4×D4—794no—
1570C4×D4—794no—
1571C4×D4—794no—
1572C4×D4—794no—
1573C4×D4—794no—
1574C4×D4—794no—
1575C4×D4—794no—
1576C4×D4—794no—
1577C4×D4—794no—
1578C4×D4—794no—
1579C4×D4—794no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4—794no—
1583C4×D4—794no—
1584C4×D4—794no—
1585C4×D4—794no—
1586C4×D4—794no—
1587C4×D4—794no—
1588C4×D4—794no—
1589C4×D4—794no—
1590C4×D4—794no—
1591C4×D4—794no—
1592C4×D4—794no—
1593C4×D4—794no—
1594C4×D4—794no—
1595C4×D4—794no—
1596C4×D4—794no—
1597C4×D4—794no—
1598C4×D4—794no—
1599C4×D4—794no—
1600C4×D4—794no—
1601C4×D4—794no—
1602C4×D4—794no—
1603C4×D4—794no—
1604C4×D4—794no—
1605C4×D4—794no—
1606C4×D4—794no—
1607C4×D4—794no—
1608C4×D4—794no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4C22×D7914yes—
1612C4×D4C22×D7914yes—
1613C4×D4C22×D7914yes—
1614C4×D4C22×D7914yes—
1615C4×D4C22×D7914yescomplemented
1616C4×D4C22×D7914yescomplemented
1617#117—792no—
1618#117—794no—
1619#117—792no—
1620#117—794no—
1621#117—792no—
1622#117—792no—
1623#117—794no—
1624#117—794no—
1625#117—794no—
1626#117—794no—
1627#117—794no—
1628#117—794no—
1629#117—794no—
1630#117—794no—
1631#117—794no—
1632#117—794no—
1633#117—794no—
1634#117C22×D7912yes—
1635#117C22×D7912yes—
1636#117C22×D7914yescomplemented
1637C2×C4⋊C4—792no—
1638C2×C4⋊C4—792no—
1639C2×C4⋊C4—792no—
1640C2×C4⋊C4—792no—
1641C2×C4⋊C4—794no—
1642C2×C4⋊C4—794no—
1643C2×C4⋊C4—794no—
1644C2×C4⋊C4—792no—
1645C2×C4⋊C4—792no—
1646C2×C4⋊C4—794no—
1647C2×C4⋊C4—794no—
1648C2×C4⋊C4—792no—
1649C2×C4⋊C4—792no—
1650C2×C4⋊C4—794no—
1651C2×C4⋊C4—794no—
1652C2×C4⋊C4—794no—
1653C2×C4⋊C4—794no—
1654C2×C22⋊C4—792no—
1655C2×C22⋊C4—792no—
1656C2×C22⋊C4—794no—
1657C2×C22⋊C4—792no—
1658C2×C22⋊C4—792no—
1659C2×C22⋊C4—792no—
1660C2×C22⋊C4—792no—
1661C2×C22⋊C4—792no—
1662C2×C22⋊C4—794no—
1663C2×C22⋊C4—792no—
1664C2×C22⋊C4—792no—
1665C2×C22⋊C4—794no—
1666C2×C22⋊C4—792no—
1667C2×C22⋊C4—792no—
1668C2×C22⋊C4—794no—
1669C2×C22⋊C4—794no—
1670C2×C22⋊C4—794no—
1671C2×C22⋊C4—794no—
1672C2×C22⋊C4—794no—
1673C2×C22⋊C4—794no—
1674C2×C22⋊C4—794no—
1675C2×C22⋊C4—794no—
1676C2×C22⋊C4—794no—
1677C2×C22⋊C4C22×D7911yescharacteristic
1678C2×C22⋊C4C22×D7911yescharacteristic
1679C2×C22⋊C4C22×D7911yescharacteristic
1680C2×C22⋊C4C22×D7911yescharacteristic
1681C2×C22⋊C4C22×D7914yes—
1682C2×C22⋊C4C22×D7914yes—
1683C2×C22⋊C4C22×D7912yes—
1684C2×C22⋊C4C22×D7912yes—
1685C2×C22⋊C4C22×D7912yes—
1686C2×C22⋊C4C22×D7914yescomplemented
1687C2×C42—794no—
1688C24—42no—
1689C24—42no—
1690C24—42no—
1691C24—3162no—
1692C24—3162no—
1693C24—792no—
1694C24—791no—
1695C24—794no—
1696C24—791no—
1697C24—792no—
1698C24—792no—
1699C24—1584no—
1700C24C23×D7911yescharacteristic
1701C24C23×D7911yescharacteristic
1702C24C23×D7912yes—
1703C24C23×D7912yes—
1704C24C23×D7911yescharacteristic
1705C24C23×D7912yes—
1706#41—44no—
1707#41—44no—
1708#41—3164no—
1709#41—3164no—
1710#41—3168no—
1711#41—3168no—
1712#41—3168no—
1713#41—3168no—
1714#41—3168no—
1715#41—3164no—
1716#41—3168no—
1717#41—3164no—
1718C2×Q8—3164no—
1719C2×Q8—792no—
1720C2×Q8—794no—
1721C2×Q8—792no—
1722C2×Q8—794no—
1723C2×Q8—794no—
1724C2×Q8C23×D7912yes—
1725C2×Q8C23×D7912yes—
1726C2×D4—44no—
1727C2×D4—44no—
1728C2×D4—44no—
1729C2×D4—3168no—
1730C2×D4—3168no—
1731C2×D4—3168no—
1732C2×D4—3164no—
1733C2×D4—3164no—
1734C2×D4—3164no—
1735C2×D4—3164no—
1736C2×D4—3168no—
1737C2×D4—3164no—
1738C2×D4—3168no—
1739C2×D4—3164no—
1740C2×D4—3164no—
1741C2×D4—794no—
1742C2×D4—794no—
1743C2×D4—794no—
1744C2×D4—794no—
1745C2×D4—794no—
1746C2×D4—794no—
1747C2×D4—794no—
1748C2×D4—794no—
1749C2×D4—794no—
1750C2×D4—794no—
1751C2×D4—794no—
1752C2×D4—794no—
1753C2×D4—794no—
1754C2×D4—794no—
1755C2×D4—794no—
1756C2×D4—794no—
1757C2×D4—792no—
1758C2×D4—794no—
1759C2×D4—794no—
1760C2×D4—792no—
1761C2×D4—794no—
1762C2×D4—15816no—
1763C2×D4—1588no—
1764C2×D4C23×D7914yes—
1765C2×D4C23×D7914yes—
1766C2×D4C23×D7914yes—
1767C2×D4C23×D7914yes—
1768C2×D4C23×D7912yes—
1769C2×D4C23×D7914yes—
1770C2×D4C23×D7914yes—
1771C2×D4C23×D7912yes—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—3164no—
1775C22×C4—3164no—
1776C22×C4—3164no—
1777C22×C4—3164no—
1778C22×C4—3164no—
1779C22×C4—3168no—
1780C22×C4—3162no—
1781C22×C4—3162no—
1782C22×C4—3162no—
1783C22×C4—792no—
1784C22×C4—792no—
1785C22×C4—791no—
1786C22×C4—792no—
1787C22×C4—791no—
1788C22×C4—794no—
1789C22×C4—792no—
1790C22×C4—792no—
1791C22×C4—792no—
1792C22×C4—794no—
1793C22×C4—792no—
1794C22×C4—792no—
1795C22×C4—794no—
1796C22×C4—794no—
1797C22×C4—794no—
1798C22×C4—794no—
1799C22×C4—794no—
1800C22×C4—794no—
1801C22×C4—794no—
1802C22×C4—794no—
1803C22×C4—792no—
1804C22×C4—792no—
1805C22×C4—792no—
1806C22×C4—792no—
1807C22×C4—792no—
1808C22×C4—792no—
1809C22×C4—792no—
1810C22×C4—792no—
1811C22×C4—792no—
1812C22×C4—792no—
1813C22×C4—794no—
1814C22×C4—792no—
1815C22×C4—1588no—
1816C22×C4C23×D7912yes—
1817C22×C4C23×D7912yes—
1818C22×C4C23×D7911yescharacteristic
1819C22×C4C23×D7912yes—
1820C22×C4C23×D7911yescharacteristic
1821C22×C4C23×D7914yes—
1822C22×C4C23×D7911yescharacteristic
1823C22×C4C23×D7912yes—
1824C22×C4C23×D7911yescharacteristic
1825C22×C4C23×D7912yes—
1826C22×C4C23×D7912yes—
1827C22×C4C23×D7912yes—
1828C22×C4C23×D7914yes—
1829C4⋊C4—794no—
1830C4⋊C4—794no—
1831C4⋊C4—794no—
1832C4⋊C4—794no—
1833C4⋊C4—794no—
1834C4⋊C4—794no—
1835C4⋊C4—794no—
1836C4⋊C4—794no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—794no—
1843C4⋊C4—794no—
1844C4⋊C4—794no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—794no—
1848C4⋊C4—794no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—794no—
1853C4⋊C4—794no—
1854C4⋊C4—792no—
1855C4⋊C4—792no—
1856C4⋊C4—792no—
1857C4⋊C4—794no—
1858C4⋊C4—794no—
1859C4⋊C4—794no—
1860C4⋊C4—792no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4C23×D7912yes—
1864C4⋊C4C23×D7914yes—
1865C4⋊C4C23×D7912yes—
1866C4⋊C4C23×D7912yes—
1867C4⋊C4C23×D7914yes—
1868C4⋊C4C23×D7912yes—
1869C4⋊C4C23×D7914yes—
1870C4⋊C4C23×D7914yes—
1871C22⋊C4—794no—
1872C22⋊C4—794no—
1873C22⋊C4—794no—
1874C22⋊C4—794no—
1875C22⋊C4—794no—
1876C22⋊C4—794no—
1877C22⋊C4—794no—
1878C22⋊C4—794no—
1879C22⋊C4—794no—
1880C22⋊C4—794no—
1881C22⋊C4—794no—
1882C22⋊C4—794no—
1883C22⋊C4—794no—
1884C22⋊C4—794no—
1885C22⋊C4—794no—
1886C22⋊C4—794no—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—794no—
1890C22⋊C4—794no—
1891C22⋊C4—794no—
1892C22⋊C4—794no—
1893C22⋊C4—794no—
1894C22⋊C4—794no—
1895C22⋊C4—794no—
1896C22⋊C4—794no—
1897C22⋊C4—794no—
1898C22⋊C4—794no—
1899C22⋊C4—794no—
1900C22⋊C4—794no—
1901C22⋊C4—794no—
1902C22⋊C4—794no—
1903C22⋊C4—794no—
1904C22⋊C4—794no—
1905C22⋊C4—794no—
1906C22⋊C4—794no—
1907C22⋊C4C23×D7914yes—
1908C22⋊C4C23×D7914yes—
1909C22⋊C4C23×D7914yes—
1910C22⋊C4C23×D7914yes—
1911C22⋊C4C23×D7914yes—
1912C22⋊C4C23×D7914yes—
1913C22⋊C4C23×D7914yes—
1914C22⋊C4C23×D7914yes—
1915C22⋊C4C23×D7914yes—
1916C22⋊C4C23×D7914yes—
1917C22⋊C4C23×D7914yes—
1918C22⋊C4C23×D7914yes—
1919C22⋊C4C23×D7914yes—
1920C22⋊C4C23×D7914yes—
1921C42—794no—
1922C42—794no—
1923C42—794no—
1924C42—794no—
1925C42—794no—
1926C42—794no—
1927C42—794no—
1928C42—794no—
1929C42C23×D7914yes—
1930C42C23×D7914yes—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—24no—
1935C23—24no—
1936C23—22no—
1937C23—22no—
1938C23—41no—
1939C23—42no—
1940C23—41no—
1941C23—41no—
1942C23—42no—
1943C23—41no—
1944C23—42no—
1945C23—42no—
1946C23—42no—
1947C23—42no—
1948C23—42no—
1949C23—88no—
1950C23—31616no—
1951C23—3161no—
1952C23—3162no—
1953C23—3161no—
1954C23—3161no—
1955C23—3162no—
1956C23—3161no—
1957C23—3164no—
1958C23—3164no—
1959C23—3162no—
1960C23—3162no—
1961C23—3162no—
1962C23—794no—
1963C23—792no—
1964C23—792no—
1965C23—794no—
1966C23—1584no—
1967C23—1584no—
1968C23—1588no—
1969C23—1582no—
1970C23—1584no—
1971C23—1584no—
1972C23C24×D7912yes—
1973C23C24×D7912yes—
1974C23C24×D7914yes—
1975C23C24×D7911yescharacteristic
1976C23C24×D7911yescharacteristic
1977C23C24×D7911yescharacteristic
1978Q8—42no—
1979Q8—42no—
1980Q8—3162no—
1981Q8—3164no—
1982Q8—3164no—
1983Q8—3162no—
1984Q8—3164no—
1985D4—28no—
1986D4—28no—
1987D4—28no—
1988D4—44no—
1989D4—44no—
1990D4—44no—
1991D4—42no—
1992D4—42no—
1993D4—3162no—
1994D4—3164no—
1995D4—3164no—
1996D4—3162no—
1997D4—3164no—
1998D4—3164no—
1999D4—3164no—
2000D4—3164no—
2001D4—3164no—
2002D4—3164no—
2003D4—3164no—
2004D4—3164no—
2005D4—3164no—
2006D4—3164no—
2007D4—1588no—
2008D4—1588no—
2009D4—1588no—
2010D4—1588no—
2011D4—1588no—
2012D4—1588no—
2013D4—1588no—
2014C2×C4—24no—
2015C2×C4—24no—
2016C2×C4—41no—
2017C2×C4—42no—
2018C2×C4—41no—
2019C2×C4—41no—
2020C2×C4—42no—
2021C2×C4—41no—
2022C2×C4—44no—
2023C2×C4—42no—
2024C2×C4—42no—
2025C2×C4—42no—
2026C2×C4—44no—
2027C2×C4—3162no—
2028C2×C4—3162no—
2029C2×C4—3162no—
2030C2×C4—3162no—
2031C2×C4—3164no—
2032C2×C4—3164no—
2033C2×C4—3164no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3161no—
2039C2×C4—3162no—
2040C2×C4—3161no—
2041C2×C4—3162no—
2042C2×C4—3162no—
2043C2×C4—3164no—
2044C2×C4—3162no—
2045C2×C4—3162no—
2046C2×C4—3164no—
2047C2×C4—3162no—
2048C2×C4—3162no—
2049C2×C4—3162no—
2050C2×C4—3164no—
2051C2×C4—794no—
2052C2×C4—794no—
2053C2×C4—792no—
2054C2×C4—794no—
2055C2×C4—794no—
2056C2×C4—794no—
2057C2×C4—792no—
2058C2×C4—1584no—
2059C2×C4—1584no—
2060C2×C4—1584no—
2061C2×C4—1584no—
2062C2×C4—1588no—
2063C2×C4—1584no—
2064C2×C4—1584no—
2065C2×C4—1584no—
2066C2×C4C24×D7914yes—
2067C2×C4C24×D7914yes—
2068C2×C4C24×D7912yes—
2069C2×C4C24×D7912yes—
2070C2×C4C24×D7914yes—
2071C2×C4C24×D7912yes—
2072C2×C4C24×D7912yes—
2073C22—28no—
2074C22—21no—
2075C22—21no—
2076C22—21no—
2077C22—21no—
2078C22—21no—
2079C22—21no—
2080C22—24no—
2081C22—22no—
2082C22—22no—
2083C22—24no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—24no—
2088C22—22no—
2089C22—84no—
2090C22—84no—
2091C22—82no—
2092C22—82no—
2093C22—162no—
2094C22—3164no—
2095C22—3168no—
2096C22—3168no—
2097C22—3164no—
2098C22—794no—
2099C22—6328no—
2100C22—1582no—
2101C22—1584no—
2102C22—1584no—
2103C22—1582no—
2104C22—1584no—
2105C22—1582no—
2106C22—1582no—
2107C22—1582no—
2108C22—12642no—
2109C22H(5,𝔽2)×D7912yes—
2110C22#1909939812yes—
2111C22#1909939912yes—
2112C22C25×D7911yescharacteristic
2113C4—22no—
2114C4—22no—
2115C4—24no—
2116C4—22no—
2117C4—22no—
2118C4—24no—
2119C4—24no—
2120C4—1582no—
2121C4—1582no—
2122C4—1584no—
2123C4—1584no—
2124C4—1584no—
2125C4—1584no—
2126C4—1584no—
2127C2—22no—
2128C2—22no—
2129C2—22no—
2130C2—42no—
2131C2—42no—
2132C2—44no—
2133C2—3162no—
2134C2—3164no—
2135C2—1584no—
2136C2C2×H(5,𝔽2)×D7911yescharacteristic
2137C2C2×#1909939811yescharacteristic
2138C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3490C2
hypercenter#3490D79
hypocenterC79#62820
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #23777614C2semidirect
2. #23777598C2semidirect
3. #23777596C2semidirect
4. #23777591C2semidirect
5. #23777587C2semidirect
6. #23777585C2semidirect
7. #23777572C2semidirect
8. #23777559C2semidirect
9. #23777337C2semidirect
10. #23777336C2semidirect
11. #23777329C2semidirect
12. #23777328C2semidirect
13. #23777106C2semidirect
14. #23777101C2semidirect
15. #23777091C2semidirect
16. #23777089C2semidirect
17. #23777087C2semidirect
18. #23777083C2semidirect
19. #23777037C2semidirect
20. #23777029C2semidirect
21. #525×D79C2semidirect
22. C22×#14579143C2semidirect
23. C79×#3490C2semidirect
24. C2×#14579206C22semidirect
25. C2×#41×D79C22semidirect
27. C23×C4×D79C22semidirect
28. #19099315C22semidirect
29. #19099314C22semidirect
30. #19099310C22semidirect
31. #19099309C22semidirect
32. #19099308C22semidirect
33. #19099307C22semidirect
34. #19099303C22semidirect
35. #19099302C22semidirect
36. #19099296C22semidirect
37. #19099295C22semidirect
38. #19099272C22semidirect
39. #19099271C22semidirect
40. #19099270C22semidirect
41. #19099267C22semidirect
42. #19099265C22semidirect
43. #19099262C22semidirect
44. #19099259C22semidirect
45. #19099259C22semidirect
46. #19099258C22semidirect
47. #19099257C22semidirect
48. #19099256C22semidirect
49. #19099256C22semidirect
50. #19099255C22semidirect
51. #19099253C22semidirect
52. #19099252C22semidirect
53. #19099250C22semidirect
54. #19099249C22semidirect
55. #19099249C22semidirect
56. #19099247C22semidirect
57. #19099246C22semidirect
58. #19099244C22semidirect
59. #19099244C22semidirect
60. #19099243C22semidirect
61. #19099242C22semidirect
62. #19099242C22semidirect
63. #19099241C22semidirect
64. #19099240C22semidirect
65. #19099239C22semidirect
66. #19099239C22semidirect
67. #19099239C22semidirect
68. #19099239C22semidirect
69. #19099239C22semidirect
70. #19099238C22semidirect
71. #19099237C22semidirect
72. #19099236C22semidirect
73. #19099236C22semidirect
74. #19099218C22semidirect
75. #19099217C22semidirect
76. #19099215C22semidirect
77. #19099213C22semidirect
78. #19099213C22semidirect
79. #19099212C22semidirect
80. #19099211C22semidirect
81. #19099211C22semidirect
82. #19099210C22semidirect
83. #19099208C22semidirect
84. #19099207C22semidirect
85. #19099207C22semidirect
86. #19099206C22semidirect
87. #19099205C22semidirect
88. #19099203C22semidirect
89. #19099203C22semidirect
90. #19099203C22semidirect
91. #19099203C22semidirect
92. #19099203C22semidirect
93. #19099202C22semidirect
94. #19099201C22semidirect
95. #19099200C22semidirect
96. #19099200C22semidirect
97. #19099200C22semidirect
98. #19099200C22semidirect
99. #19099200C22semidirect
100. D4×C22⋊D79C22semidirect
101. D4×C22⋊D79C22semidirect
102. #19099195C22semidirect
103. #19099195C22semidirect
104. #19099192C22semidirect
105. #19099191C22semidirect
106. #19099189C22semidirect
107. #19099189C22semidirect
108. #19099188C22semidirect
109. #19099186C22semidirect
110. #19099184C22semidirect
111. #19099181C22semidirect
112. #19099177C22semidirect
113. #19099166C22semidirect
114. #19099165C22semidirect
115. #19099164C22semidirect
116. #19099163C22semidirect
117. #19099162C22semidirect
118. #19099159C22semidirect
119. #19099159C22semidirect
120. #19099158C22semidirect
121. #19099157C22semidirect
122. #19099157C22semidirect
123. #19099157C22semidirect
124. #19099156C22semidirect
125. #19099156C22semidirect
126. #19099155C22semidirect
127. #19099155C22semidirect
128. #19099154C22semidirect
129. #19099154C22semidirect
130. #19099153C22semidirect
131. #19099152C22semidirect
132. #19099151C22semidirect
133. #19099151C22semidirect
134. #19099151C22semidirect
135. #19099150C22semidirect
136. #19099148C22semidirect
137. #19099148C22semidirect
138. #19099148C22semidirect
139. #19099147C22semidirect
140. #19099146C22semidirect
141. #19099141C22semidirect
142. #19099140C22semidirect
143. #19099136C22semidirect
144. #19099133C22semidirect
145. #19099128C22semidirect
146. #19099125C22semidirect
147. #19099125C22semidirect
149. #19099123C22semidirect
150. #19099122C22semidirect
151. #19099122C22semidirect
152. #19099121C22semidirect
153. #19099121C22semidirect
154. #19099096C22semidirect
155. #19099095C22semidirect
156. #19099092C22semidirect
157. #19099091C22semidirect
158. #19099076C22semidirect
159. #19099076C22semidirect
160. #19099075C22semidirect
161. #19099074C22semidirect
162. #19099074C22semidirect
163. #19099073C22semidirect
164. #19099073C22semidirect
165. #19099073C22semidirect
166. #19099072C22semidirect
167. #19099072C22semidirect
168. #19099072C22semidirect
169. #19099071C22semidirect
170. #19099070C22semidirect
171. #19099069C22semidirect
172. #19099069C22semidirect
173. #19099069C22semidirect
174. C2×#14579143C22semidirect
175. C2×#14579143C22semidirect
176. C2×#14579143C22semidirect
177. C2×#14579143C22semidirect
178. C2×#14579143C22semidirect
179. C2×#14579143C22semidirect
180. C2×#14579143C22semidirect
181. C2×#14579143C22semidirect
182. C2×#14579143C22semidirect
183. #123×D79C22semidirect
184. #123×D79C22semidirect
185. C22⋊Q8×D79C22semidirect
186. C22⋊Q8×D79C22semidirect
187. #121×D79C22semidirect
188. #121×D79C22semidirect
189. C2×#14579130C22semidirect
190. #120×D79C22semidirect
191. #19099046C22semidirect
192. #19099043C22semidirect
193. #19099042C22semidirect
194. #19099038C22semidirect
195. #19099036C22semidirect
196. #19099036C22semidirect
197. #19099036C22semidirect
198. #19099035C22semidirect
199. C4×D4×D79C22semidirect
200. C4×D4×D79C22semidirect
201. #117×D79C22semidirect
202. C22×C4⋊Dic79C22semidirect
203. C22×Dic79⋊C4C22semidirect
204. C22×C22⋊Dic79C22semidirect
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
221. C2×#11929625C23semidirect
225. C2×#11929624C23semidirect
230. C2×#11929623C23semidirect
232. C2×Q8×D79C23semidirect
247. C2×D4×D79C23semidirect
258. C22×C4×D79C23semidirect
259. #14579161C23semidirect
260. #14579160C23semidirect
261. #14579160C23semidirect
262. #14579159C23semidirect
265. #14579156C23semidirect
266. #14579156C23semidirect
267. #14579156C23semidirect
268. #14579156C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579155C23semidirect
272. #14579155C23semidirect
273. #14579154C23semidirect
274. #14579154C23semidirect
275. #14579154C23semidirect
276. #14579154C23semidirect
277. #14579154C23semidirect
278. #14579154C23semidirect
279. #14579154C23semidirect
280. #14579154C23semidirect
281. #14579154C23semidirect
282. #14579154C23semidirect
283. #14579153C23semidirect
284. #14579153C23semidirect
285. #14579152C23semidirect
286. #14579152C23semidirect
287. #14579152C23semidirect
288. #14579152C23semidirect
289. #14579151C23semidirect
290. #14579151C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
294. #14579151C23semidirect
295. #14579150C23semidirect
296. #14579149C23semidirect
297. #14579148C23semidirect
298. #14579148C23semidirect
301. #14579147C23semidirect
302. #14579147C23semidirect
303. #14579147C23semidirect
304. #14579147C23semidirect
305. #14579147C23semidirect
306. #14579147C23semidirect
307. #14579146C23semidirect
308. #14579146C23semidirect
309. #14579146C23semidirect
310. #14579146C23semidirect
311. #14579146C23semidirect
312. #14579146C23semidirect
317. #14579145C23semidirect
318. #14579145C23semidirect
319. #14579145C23semidirect
320. #14579145C23semidirect
324. #14579144C23semidirect
325. #14579144C23semidirect
326. #14579144C23semidirect
345. #14579143C23semidirect
346. #14579143C23semidirect
347. #14579143C23semidirect
348. #14579143C23semidirect
349. #14579143C23semidirect
350. #14579143C23semidirect
351. #14579143C23semidirect
352. #14579143C23semidirect
353. #14579143C23semidirect
354. #14579143C23semidirect
358. #14579142C23semidirect
359. #14579142C23semidirect
360. #14579142C23semidirect
361. #14579142C23semidirect
362. #14579141C23semidirect
363. #14579141C23semidirect
364. #14579141C23semidirect
365. #14579141C23semidirect
366. #14579141C23semidirect
371. #14579140C23semidirect
372. #14579140C23semidirect
373. #14579140C23semidirect
374. #14579140C23semidirect
375. #14579139C23semidirect
376. #14579139C23semidirect
377. #14579139C23semidirect
378. #14579139C23semidirect
379. #14579139C23semidirect
380. #14579139C23semidirect
387. #14579138C23semidirect
388. #14579138C23semidirect
389. #14579138C23semidirect
390. #14579138C23semidirect
391. #14579138C23semidirect
392. #14579138C23semidirect
393. #14579138C23semidirect
394. #14579138C23semidirect
395. #14579137C23semidirect
396. #14579137C23semidirect
397. #14579137C23semidirect
398. #14579137C23semidirect
399. #14579137C23semidirect
400. #14579136C23semidirect
401. #14579136C23semidirect
402. #14579136C23semidirect
409. #14579135C23semidirect
410. #14579135C23semidirect
415. #14579134C23semidirect
416. #14579134C23semidirect
417. #14579134C23semidirect
418. #14579134C23semidirect
419. #14579134C23semidirect
420. #14579134C23semidirect
431. #14579133C23semidirect
432. #14579133C23semidirect
433. #14579133C23semidirect
434. #14579133C23semidirect
437. #14579132C23semidirect
438. #14579132C23semidirect
439. #14579132C23semidirect
440. #14579132C23semidirect
441. #14579132C23semidirect
446. #14579131C23semidirect
447. #14579131C23semidirect
453. #14579130C23semidirect
459. #14579129C23semidirect
460. #14579129C23semidirect
461. Q8×Dic79C23semidirect
462. C4×Dic158C23semidirect
463. C4×Dic158C23semidirect
464. #14579126C23semidirect
465. C4×D316C23semidirect
466. C4×D316C23semidirect
467. C4×D316C23semidirect
468. C4×D316C23semidirect
475. D4×Dic79C23semidirect
476. D4×Dic79C23semidirect
477. D4×Dic79C23semidirect
478. #14579123C23semidirect
479. #14579123C23semidirect
480. #14579123C23semidirect
487. C4×C22⋊D79C23semidirect
488. C4×C22⋊D79C23semidirect
489. C4×C22⋊D79C23semidirect
490. C4×C22⋊D79C23semidirect
491. C4×C22⋊D79C23semidirect
492. C4×C22⋊D79C23semidirect
501. (C22⋊D79)⋊C4C23semidirect
502. (C22⋊D79)⋊C4C23semidirect
503. (C22⋊D79)⋊C4C23semidirect
504. (C22⋊D79)⋊C4C23semidirect
505. (C22⋊D79)⋊C4C23semidirect
506. (C22⋊D79)⋊C4C23semidirect
509. #14579120C23semidirect
510. #14579120C23semidirect
511. #14579119C23semidirect
512. #14579119C23semidirect
513. #14579119C23semidirect
514. #14579119C23semidirect
515. #14579118C23semidirect
516. #14579118C23semidirect
517. #14579118C23semidirect
521. #14579117C23semidirect
522. #14579117C23semidirect
523. #14579117C23semidirect
529. C2×C4⋊Dic79C23semidirect
534. C2×Dic79⋊C4C23semidirect
535. C4⋊C4×D79C23semidirect
536. C4⋊C4×D79C23semidirect
537. C4⋊C4×D79C23semidirect
538. C4⋊C4×D79C23semidirect
539. C4⋊C4×D79C23semidirect
540. C4⋊C4×D79C23semidirect
549. C2×C22⋊Dic79C23semidirect
555. C2×(C2×D79)⋊C4C23semidirect
559. C22⋊C4×D79C23semidirect
560. C22⋊C4×D79C23semidirect
561. C22⋊C4×D79C23semidirect
562. C22⋊C4×D79C23semidirect
563. C22⋊C4×D79C23semidirect
564. C42×D79C23semidirect
573. #126×C79C23semidirect
574. #126×C79C23semidirect
575. #124×C79C23semidirect
576. #124×C79C23semidirect
579. #123×C79C23semidirect
580. #123×C79C23semidirect
581. #123×C79C23semidirect
586. C22⋊Q8×C79C23semidirect
587. C22⋊Q8×C79C23semidirect
592. #121×C79C23semidirect
593. #121×C79C23semidirect
598. #120×C79C23semidirect
603. C4×D4×C79C23semidirect
604. C4×D4×C79C23semidirect
607. #117×C79C23semidirect
617. C2×C22⋊C4×C79C23semidirect
1088. #3490D79semidirect
1093. C79#62820semidirect
1144. #551C2×D79semidirect
1145. #551C2×D79semidirect
1172. #546C2×D79semidirect
1173. #546C2×D79semidirect
1183. #543C2×D79semidirect
1216. #538C2×D79semidirect
1217. #538C2×D79semidirect
1231. #534C2×D79semidirect
1252. #525C2×D79semidirect
1253. #525C2×D79semidirect
1271. C2×#120C2×D79semidirect
1280. #518C2×D79semidirect
1288. C22×C22⋊C4C2×D79semidirect
1361. #126C22×D79semidirect
1362. #126C22×D79semidirect
1387. #124C22×D79semidirect
1388. #124C22×D79semidirect
1446. #123C22×D79semidirect
1447. #123C22×D79semidirect
1448. #123C22×D79semidirect
1491. C22⋊Q8C22×D79semidirect
1492. C22⋊Q8C22×D79semidirect
1539. #121C22×D79semidirect
1540. #121C22×D79semidirect
1564. #120C22×D79semidirect
1615. C4×D4C22×D79semidirect
1616. C4×D4C22×D79semidirect
1636. #117C22×D79semidirect
1686. C2×C22⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776142
#237775982
#237775962
#237775912
#237775872
#237775852
#237775722
#237775592
#237773372
#237773362
#237773292
#237773282
#237771062
#237771012
#237770912
#237770892
#237770872
#237770832
#237770372
#237770292
#525×D792
C22×#145791432
C79×#34902
#6282079