Finite Group Databasebeta

← #35196980

Subgroups — #35196980

Order 20224.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777967C212yesmaximal, complemented
2#23777960C212yesmaximal, complemented
3#23777958C214yesmaximal, complemented
4#23777921C212yesmaximal, complemented
5#23777912C212yesmaximal, complemented
6#23777910C214yesmaximal, complemented
7#23777756C214yesmaximal, complemented
8#23777747C214yesmaximal, complemented
9#23777353C214yesmaximal, complemented
10#23777351C214yesmaximal, complemented
11#23777350C214yesmaximal, complemented
12#23777348C214yesmaximal, complemented
13#23777288C214yesmaximal, complemented
14#23777186C214yesmaximal, complemented
15#23777089C211yesmaximal, characteristic, complemented
16#23777087C212yesmaximal, complemented
17#23777083C212yesmaximal, complemented
18#23777083C212yesmaximal, complemented
19#23777047C212yesmaximal, complemented
20#23777029C212yesmaximal, complemented
21#23776692C212yesmaximal, complemented
22C22×#14579147C211yesmaximal, characteristic, complemented
23C79×#3490C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yescomplemented
25C2×#14579206C2212yescomplemented
26C23×Dic158C2211yescharacteristic, complemented
27C23×C22⋊D79C2211yescharacteristic
28#19099315C2214yescomplemented
29#19099314C2214yescomplemented
30#19099310C2214yescomplemented
31#19099310C2214yescomplemented
32#19099309C2214yescomplemented
33#19099308C2214yescomplemented
34#19099306C2214yescomplemented
35#19099305C2214yescomplemented
36#19099297C2214yescomplemented
37#19099297C2214yescomplemented
38#19099296C2214yescomplemented
39#19099295C2214yescomplemented
40#19099284C2214yescomplemented
41#19099281C2214yescomplemented
42#19099280C2214yescomplemented
43#19099280C2214yescomplemented
44#19099278C2214yescomplemented
45#19099277C2214yescomplemented
46#19099276C2214yescomplemented
47#19099275C2214yescomplemented
48#19099244C2214yescomplemented
49#19099244C2214yescomplemented
50#19099242C2214yescomplemented
51#19099242C2214yescomplemented
52#19099242C2214yescomplemented
53#19099240C2214yescomplemented
54#19099240C2214yescomplemented
55#19099239C2214yescomplemented
56#19099239C2214yescomplemented
57#19099239C2214yescomplemented
58#19099239C2214yescomplemented
59#19099239C2214yescomplemented
60#19099238C2214yescomplemented
61#19099237C2214yescomplemented
62#19099237C2214yescomplemented
63#19099236C2214yescomplemented
64#19099236C2214yescomplemented
65#19099236C2214yescomplemented
66D4×Dic158C2214yescomplemented
67D4×Dic158C2214yescomplemented
68#19099226C2214yescomplemented
69#19099226C2214yescomplemented
70#19099223C2214yescomplemented
71#19099222C2214yescomplemented
72#19099222C2214yescomplemented
73#19099222C2214yescomplemented
74#19099221C2214yescomplemented
75#19099219C2214yescomplemented
76#19099219C2214yescomplemented
77#19099219C2214yescomplemented
78#19099208C2214yescomplemented
79#19099208C2214yescomplemented
80#19099207C2214yescomplemented
81#19099207C2214yescomplemented
82#19099205C2214yescomplemented
83#19099205C2214yescomplemented
84#19099205C2214yescomplemented
85#19099203C2214yescomplemented
86#19099203C2214yescomplemented
87#19099203C2214yescomplemented
88#19099203C2214yescomplemented
89#19099203C2214yescomplemented
90#19099202C2214yescomplemented
91#19099202C2214yescomplemented
92#19099202C2214yescomplemented
93#19099201C2214yescomplemented
94#19099201C2214yescomplemented
95#19099200C2214yescomplemented
96#19099200C2214yescomplemented
97#19099200C2214yescomplemented
98#19099200C2214yescomplemented
99#19099200C2214yescomplemented
100D4×C22⋊D79C2214yescomplemented
101D4×C22⋊D79C2214yescomplemented
102#19099195C2214yescomplemented
103#19099195C2214yescomplemented
104#19099189C2212yescomplemented
105#19099189C2211yescharacteristic, complemented
106#19099188C2212yescomplemented
107#19099188C2212yescomplemented
108#19099186C2214yescomplemented
109#19099184C2214yescomplemented
110#19099183C2214yescomplemented
111#19099183C2214yescomplemented
112#19099182C2214yescomplemented
113#19099181C2214yescomplemented
114#19099181C2214yescomplemented
115#19099179C2214yescomplemented
116#19099179C2214yescomplemented
117#19099178C2214yescomplemented
118#19099177C2214yescomplemented
119#19099177C2214yescomplemented
120#19099153C2212yescomplemented
121#19099153C2212yescomplemented
122#19099152C2214yescomplemented
123#19099151C2212yescomplemented
124#19099151C2212yescomplemented
125#19099151C2214yescomplemented
126#19099150C2212yescomplemented
127#19099150C2212yescomplemented
128#19099150C2214yescomplemented
129#19099149C2214yescomplemented
130#19099149C2214yescomplemented
131#19099148C2214yescomplemented
132#19099148C2214yescomplemented
133#19099148C2214yescomplemented
134#19099146C2214yescomplemented
135#19099146C2214yescomplemented
136#19099146C2214yescomplemented
137#19099145C2214yescomplemented
138#19099139C2212yescomplemented
139#19099136C2214yescomplemented
140#19099135C2214yescomplemented
141#19099135C2214yescomplemented
142#19099135C2214yescomplemented
143#19099134C2212yescomplemented
144#19099129C2214yescomplemented
145#19099128C2214yes—
146#19099128C2214yescomplemented
147#19099125C2212yescomplemented
148#19099125C2211yescharacteristic, complemented
149#19099123C2214yescomplemented
150#19099122C2212yescomplemented
151#19099122C2212yescomplemented
152#19099121C2212yescomplemented
153#19099121C2212yescomplemented
154#19099116C2212yescomplemented
155#19099115C2212yescomplemented
156#19099115C2212yescomplemented
157#19099110C2214yescomplemented
158#19099109C2212yescomplemented
159#19099108C2212yescomplemented
160#19099108C2212yescomplemented
161#19099108C2214yescomplemented
162#19099099C2212yescomplemented
163#19099099C2212yescomplemented
164#19099096C2214yescomplemented
165#19099094C2212yescomplemented
166#19099094C2212yescomplemented
167#19099093C2214yescomplemented
168#19099093C2214yescomplemented
169#19099093C2214yescomplemented
170#19099091C2214yescomplemented
171#19099090C2214yescomplemented
172#19099090C2214yescomplemented
173#19099090C2214yescomplemented
174C2×#14579147C2214yescomplemented
175C2×#14579147C2214yescomplemented
176C2×#14579147C2212yescomplemented
177C2×#14579147C2212yescomplemented
178C2×#14579147C2214yescomplemented
179C2×#14579147C2212yescomplemented
180C2×#14579147C2212yescomplemented
181C2×#14579147C2214yescomplemented
182C2×#14579147C2214yescomplemented
183#124×D79C2214yescomplemented
184#19099074C2212yescomplemented
185#19099074C2212yescomplemented
186#19099069C2214yescomplemented
187#19099069C2214yescomplemented
188#19099069C2214yescomplemented
189C2×#14579130C2212yescomplemented
190#120×D79C2214yescomplemented
191#19099040C2212yescomplemented
192#19099038C2212yescomplemented
193#19099036C2212yescomplemented
194#19099036C2212yescomplemented
195#19099036C2212yescomplemented
196#19099035C2214yescomplemented
197#19099035C2214yescomplemented
198#41×Dic79C2212yescomplemented
199#19099031C2212yescomplemented
200C4×#11929623C2214yescomplemented
201C4×#11929623C2214yescomplemented
202C22×C22⋊Dic79C2211yescharacteristic, complemented
203C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
204C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
205C22×C4×Dic79C2211yescharacteristic, 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#14579208—48no—
221#14579206—48no—
222C2×#11929624C2314yes—
223C2×#11929624C2312yes—
224C2×#11929624C2312yes—
225C2×#11929624C2314yescomplemented
226C2×#11929623C2314yes—
227C2×#11929623C2314yes—
228C2×#11929623C2314yes—
229C2×#11929623C2314yes—
230C2×#11929623C2314yescomplemented
231C22×Dic158—44no—
232C22×Dic158C2312yes—
233C22×Dic158C2312yes—
234C22×Dic158C2312yes—
235C22×Dic158C2314yes—
236C22×Dic158C2312yes—
237C22×Dic158C2314yescomplemented
238C2×Q8×D79C2314yescomplemented
239C22×C22⋊D79—44no—
240C22×C22⋊D79C2312yes—
241C22×C22⋊D79C2314yes—
242C22×C22⋊D79C2312yes—
243C22×C22⋊D79C2312yes—
244C22×C22⋊D79C2312yes—
245C22×C22⋊D79C2312yes—
246C22×C22⋊D79C2314yes—
247C22×C22⋊D79C2312yes—
248C22×C22⋊D79C2312yes—
249C2×D4×D79C2314yes—
250C2×D4×D79C2314yes—
251C2×D4×D79C2314yes—
252C2×D4×D79C2314yes—
253C23×Dic79C2311yescharacteristic
254C23×Dic79C2311yescharacteristic
255C23×Dic79C2311yescharacteristic
256#14579161C2314yescomplemented
257#14579160C2312yescomplemented
258#14579160C2314yescomplemented
259#14579160C2314yescomplemented
260#14579160C2312yescomplemented
261#14579160C2314yescomplemented
262#14579160C2314yescomplemented
263#14579159C2312yescomplemented
264#14579159C2314yescomplemented
265#14579157C2314yes—
266#14579157C2314yes—
267#14579157C2312yescomplemented
268#14579156C2314yescomplemented
269#14579156C2314yescomplemented
270#14579156C2314yescomplemented
271#14579156C2314yescomplemented
272#14579156C2314yescomplemented
273#14579156C2314yescomplemented
274#14579156C2314yescomplemented
275#14579156C2314yescomplemented
276#14579155C2314yescomplemented
277#14579155C2314yescomplemented
278#14579154C2314yescomplemented
279#14579154C2314yescomplemented
280#14579154C2314yescomplemented
281#14579154C2314yescomplemented
282#14579154C2314yescomplemented
283#14579154C2314yescomplemented
284#14579154C2314yescomplemented
285#14579154C2314yescomplemented
286#14579152C2312yescomplemented
287#14579152C2312yescomplemented
288#14579151C2314yescomplemented
289#14579151C2314yescomplemented
290#14579150C2314yescomplemented
291#14579150C2314yescomplemented
292#14579150C2312yescomplemented
293#14579149C2314yescomplemented
294#14579149C2314yescomplemented
295#14579149C2314yescomplemented
296#14579148C2314yescomplemented
297#14579148C2314yescomplemented
298#14579148C2314yescomplemented
299#14579148C2312yescomplemented
300#14579147C2314yes—
301#14579147C2314yes—
302#14579147C2314yes—
303#14579147C2314yes—
304#14579147C2314yes—
305#14579147C2314yes—
306#14579147C2314yes—
307#14579147C2314yes—
308#14579147C2314yes—
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yes—
312#14579147C2314yes—
313#14579147C2314yes—
314#14579147C2314yes—
315#14579147C2314yes—
316#14579147C2314yes—
317#14579147C2314yes—
318#14579147C2314yescomplemented
319#14579147C2314yescomplemented
320#14579147C2314yescomplemented
321#14579147C2314yescomplemented
322#14579147C2314yescomplemented
323#14579147C2314yescomplemented
324#14579147C2314yescomplemented
325#14579147C2314yescomplemented
326#14579147C2314yescomplemented
327#14579147C2314yescomplemented
328#14579147C2314yescomplemented
329#14579147C2314yescomplemented
330#14579147C2314yescomplemented
331#14579147C2314yescomplemented
332#14579146C2314yescomplemented
333#14579146C2314yescomplemented
334#14579146C2314yescomplemented
335#14579146C2314yescomplemented
336#14579146C2314yescomplemented
337#14579146C2314yescomplemented
338#14579145C2314yes—
339#14579145C2314yes—
340#14579145C2314yes—
341#14579145C2314yes—
342#14579145C2314yescomplemented
343#14579145C2314yescomplemented
344#14579145C2314yescomplemented
345#14579144C2314yes—
346#14579144C2314yes—
347#14579144C2314yes—
348#14579144C2314yescomplemented
349#14579144C2314yescomplemented
350#14579144C2314yescomplemented
351#14579143C2314yes—
352#14579143C2314yes—
353#14579143C2314yescomplemented
354#14579143C2314yescomplemented
355#14579143C2314yescomplemented
356#14579143C2314yescomplemented
357#14579143C2314yescomplemented
358#14579143C2314yescomplemented
359#14579142C2314yes—
360#14579142C2314yes—
361#14579142C2314yes—
362#14579142C2314yescomplemented
363#14579142C2314yescomplemented
364#14579142C2314yescomplemented
365#14579141C2314yescomplemented
366#14579141C2314yescomplemented
367#14579141C2314yescomplemented
368#14579141C2314yescomplemented
369#14579140C2312yes—
370#14579140C2312yes—
371#14579140C2312yes—
372#14579140C2312yes—
373#14579140C2314yescomplemented
374#14579140C2314yescomplemented
375#14579140C2314yescomplemented
376#14579140C2314yescomplemented
377#14579139C2314yescomplemented
378#14579139C2314yescomplemented
379#14579139C2314yescomplemented
380#14579139C2314yescomplemented
381#14579139C2314yescomplemented
382#14579139C2314yescomplemented
383#14579139C2314yescomplemented
384#14579139C2314yescomplemented
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579138C2314yes—
391#14579138C2314yescomplemented
392#14579138C2314yescomplemented
393#14579138C2314yescomplemented
394#14579138C2314yescomplemented
395#14579138C2314yescomplemented
396#14579138C2314yescomplemented
397#14579138C2314yescomplemented
398#14579138C2314yescomplemented
399#14579137C2314yescomplemented
400#14579137C2314yescomplemented
401#14579136C2314yescomplemented
402#14579136C2314yescomplemented
403#14579135C2314yes—
404#14579135C2314yes—
405#14579135C2312yes—
406#14579135C2312yes—
407#14579135C2312yes—
408#14579135C2312yes—
409#14579135C2314yescomplemented
410#14579135C2314yescomplemented
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yescomplemented
416#14579134C2314yescomplemented
417#14579134C2314yescomplemented
418#14579134C2314yescomplemented
419#14579133C2314yes—
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yescomplemented
430#14579133C2314yescomplemented
431#14579133C2314yescomplemented
432#14579133C2314yescomplemented
433#14579132C2314yes—
434#14579132C2314yes—
435#14579132C2314yescomplemented
436#14579132C2314yescomplemented
437#14579131C2314yes—
438#14579131C2314yes—
439#14579131C2314yes—
440#14579131C2314yes—
441#14579131C2314yescomplemented
442#14579131C2314yescomplemented
443#14579131C2314yescomplemented
444#14579130C2314yes—
445#14579130C2314yes—
446#14579130C2314yes—
447#14579130C2314yes—
448#14579130C2314yes—
449#14579130C2314yescomplemented
450#14579129C2314yes—
451#14579129C2314yes—
452#14579129C2314yes—
453#14579129C2314yes—
454#14579129C2314yes—
455#14579129C2314yescomplemented
456#14579129C2314yescomplemented
457#14579129C2314yescomplemented
458Q8×Dic79C2312yescomplemented
459Q8×Dic79C2312yescomplemented
460C4×Dic158C2314yescomplemented
461C4×Dic158C2314yescomplemented
462C4×Dic158C2314yescomplemented
463C4×Dic158C2314yescomplemented
464#14579126C2312yescomplemented
465#14579126C2314yescomplemented
466#14579126C2314yescomplemented
467#14579126C2314yescomplemented
468#14579126C2312yescomplemented
469#14579126C2314yescomplemented
470C4×D316C2314yescomplemented
471C4×D316C2314yescomplemented
472D4×Dic79C2314yes—
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476D4×Dic79C2314yes—
477D4×Dic79C2314yes—
478D4×Dic79C2312yescomplemented
479D4×Dic79C2314yescomplemented
480D4×Dic79C2314yescomplemented
481D4×Dic79C2312yescomplemented
482#14579123C2312yescomplemented
483#14579123C2314yescomplemented
484#14579123C2314yescomplemented
485#14579123C2312yescomplemented
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yescomplemented
493C4×C22⋊D79C2314yescomplemented
494C4×C22⋊D79C2314yescomplemented
495C4×C22⋊D79C2314yescomplemented
496C4×C22⋊D79C2314yescomplemented
497C4×C22⋊D79C2314yescomplemented
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505(C22⋊D79)⋊C4C2314yes—
506(C22⋊D79)⋊C4C2314yescomplemented
507(C22⋊D79)⋊C4C2314yescomplemented
508(C22⋊D79)⋊C4C2314yescomplemented
509(C22⋊D79)⋊C4C2314yescomplemented
510(C22⋊D79)⋊C4C2314yescomplemented
511(C22⋊D79)⋊C4C2314yescomplemented
512#14579120C2312yes—
513#14579120C2312yes—
514#14579120C2314yescomplemented
515#14579120C2314yescomplemented
516#14579119C2314yescomplemented
517#14579119C2314yescomplemented
518#14579119C2314yescomplemented
519#14579119C2314yescomplemented
520#14579118C2314yescomplemented
521#14579118C2314yescomplemented
522#14579118C2314yescomplemented
523#14579117C2314yes—
524#14579117C2314yes—
525#14579117C2314yes—
526#14579117C2314yescomplemented
527#14579117C2314yescomplemented
528#14579117C2314yescomplemented
529#14579117C2314yescomplemented
530C2×C22⋊Dic79C2312yes—
531C2×C22⋊Dic79C2312yes—
532C2×C22⋊Dic79C2312yes—
533C2×C22⋊Dic79C2312yes—
534C2×C22⋊Dic79C2312yes—
535C2×C22⋊Dic79C2314yes—
536C2×C22⋊Dic79C2312yes—
537C2×C22⋊Dic79C2312yes—
538C2×C22⋊Dic79C2314yescomplemented
539C2×(C2×D79)⋊C4C2312yes—
540C2×(C2×D79)⋊C4C2312yes—
541C2×(C2×D79)⋊C4C2312yes—
542C2×(C2×D79)⋊C4C2312yes—
543C2×(C2×D79)⋊C4C2314yes—
544C2×(C2×D79)⋊C4C2314yes—
545C2×(C2×D79)⋊C4C2312yes—
546C2×(C2×D79)⋊C4C2314yes—
547C2×(C2×D79)⋊C4C2312yes—
548C2×(C2×D79)⋊C4C2314yescomplemented
549C2×(C2×D79)⋊C4C2314yescomplemented
550C22⋊C4×D79C2314yes—
551C22⋊C4×D79C2314yes—
552C22⋊C4×D79C2314yes—
553C22⋊C4×D79C2314yescomplemented
554C22⋊C4×D79C2314yescomplemented
555C22⋊C4×D79C2314yescomplemented
556C22⋊C4×D79C2314yescomplemented
557C2×C4×Dic79C2312yes—
558C2×C4×Dic79C2312yes—
559C2×C4×Dic79C2312yes—
560C2×C4×Dic79C2312yes—
561C2×C4×Dic79C2312yes—
562C2×C4×Dic79C2312yes—
563C2×C4×Dic79C2314yescomplemented
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—42no—
619C23×D79—42no—
620C23×D79—42no—
621C23×D79C2412yes—
622C23×D79C2412yes—
623C23×D79C2412yes—
624C23×D79C2412yes—
625C23×D79C2414yes—
626#11929624—44no—
627#11929624—44no—
628#11929624—48no—
629#11929624—48no—
630#11929623—216no—
631#11929623—48no—
632#11929623—48no—
633#11929623—48no—
634#11929623—48no—
635C2×Dic158—28no—
636C2×Dic158—44no—
637C2×Dic158—44no—
638C2×Dic158—48no—
639C2×Dic158—44no—
640C2×Dic158—48no—
641C2×Dic158C2414yes—
642C2×Dic158C2414yes—
643C2×Dic158C2414yes—
644C2×Dic158C2414yes—
645C2×Dic158C2414yes—
646C2×Dic158C2414yes—
647C2×Dic158C2412yes—
648C2×Dic158C2414yes—
649C2×Dic158C2412yes—
650Q8×D79—48no—
651C2×D316C2412yes—
652C2×D316C2412yes—
653C2×D316C2414yes—
654C2×D316C2414yes—
655C2×D316C2414yes—
656C2×C22⋊D79—28no—
657C2×C22⋊D79—44no—
658C2×C22⋊D79—44no—
659C2×C22⋊D79—44no—
660C2×C22⋊D79—48no—
661C2×C22⋊D79—44no—
662C2×C22⋊D79—48no—
663C2×C22⋊D79—44no—
664C2×C22⋊D79—44no—
665C2×C22⋊D79C2414yes—
666C2×C22⋊D79C2414yes—
667C2×C22⋊D79C2414yes—
668C2×C22⋊D79C2414yes—
669C2×C22⋊D79C2414yes—
670C2×C22⋊D79C2414yes—
671C2×C22⋊D79C2414yes—
672C2×C22⋊D79C2414yes—
673C2×C22⋊D79C2414yes—
674C2×C22⋊D79C2414yes—
675C2×C22⋊D79C2414yes—
676C2×C22⋊D79C2414yes—
677C2×C22⋊D79C2414yes—
678C2×C22⋊D79C2414yes—
679C2×C22⋊D79C2414yes—
680C2×C22⋊D79C2414yes—
681D4×D79—48no—
682D4×D79—48no—
683D4×D79—48no—
684D4×D79—48no—
685C22×Dic79—24no—
686C22×Dic79—42no—
687C22×Dic79—42no—
688C22×Dic79C2412yes—
689C22×Dic79C2412yes—
690C22×Dic79C2412yes—
691C22×Dic79C2411yescharacteristic
692C22×Dic79C2414yes—
693C22×Dic79C2412yes—
694C22×Dic79C2412yes—
695C22×Dic79C2412yes—
696C22×Dic79C2414yes—
697C22×Dic79C2412yes—
698C22×Dic79C2414yes—
699C22×Dic79C2411yescharacteristic
700C22×Dic79C2412yes—
701C22×Dic79C2411yescharacteristic
702C22×Dic79C2412yes—
703C22×Dic79C2412yes—
704C22×Dic79C2411yescharacteristic
705C2×C4×D79C2414yes—
706C2×C4×D79C2414yes—
707C2×C4×D79C2414yes—
708C2×C4×D79C2414yes—
709C2×C4×D79C2414yes—
710C2×C4×D79C2414yes—
711C2×C4×D79C2414yes—
712C2×C4×D79C2414yes—
713C4⋊Dic79C2414yes—
714C4⋊Dic79C2414yes—
715C4⋊Dic79C2414yes—
716C4⋊Dic79C2414yes—
717C4⋊Dic79C2412yes—
718C4⋊Dic79C2412yes—
719C4⋊Dic79C2412yes—
720C4⋊Dic79C2412yes—
721C4⋊Dic79C2414yes—
722C4⋊Dic79C2414yes—
723Dic79⋊C4C2414yes—
724Dic79⋊C4C2414yes—
725Dic79⋊C4C2414yes—
726Dic79⋊C4C2414yes—
727Dic79⋊C4C2414yes—
728Dic79⋊C4C2414yes—
729Dic79⋊C4C2414yes—
730Dic79⋊C4C2414yes—
731Dic79⋊C4C2414yes—
732Dic79⋊C4C2414yes—
733Dic79⋊C4C2414yes—
734Dic79⋊C4C2414yes—
735Dic79⋊C4C2414yes—
736Dic79⋊C4C2414yes—
737Dic79⋊C4C2414yes—
738Dic79⋊C4C2414yes—
739C22⋊Dic79C2414yes—
740C22⋊Dic79C2414yes—
741C22⋊Dic79C2414yes—
742C22⋊Dic79C2414yes—
743C22⋊Dic79C2414yes—
744C22⋊Dic79C2414yes—
745C22⋊Dic79C2414yes—
746C22⋊Dic79C2414yes—
747C22⋊Dic79C2414yes—
748C22⋊Dic79C2414yes—
749C22⋊Dic79C2414yes—
750C22⋊Dic79C2414yes—
751C22⋊Dic79C2414yes—
752C22⋊Dic79C2414yes—
753C22⋊Dic79C2414yes—
754C22⋊Dic79C2414yes—
755(C2×D79)⋊C4C2414yes—
756(C2×D79)⋊C4C2414yes—
757(C2×D79)⋊C4C2414yes—
758(C2×D79)⋊C4C2414yes—
759(C2×D79)⋊C4C2414yes—
760(C2×D79)⋊C4C2414yes—
761(C2×D79)⋊C4C2414yes—
762(C2×D79)⋊C4C2414yes—
763(C2×D79)⋊C4C2414yes—
764(C2×D79)⋊C4C2414yes—
765(C2×D79)⋊C4C2414yes—
766(C2×D79)⋊C4C2414yes—
767(C2×D79)⋊C4C2414yes—
768(C2×D79)⋊C4C2414yes—
769(C2×D79)⋊C4C2414yes—
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—
779C4×Dic79C2412yes—
780C4×Dic79C2414yes—
781C4×Dic79C2414yes—
782C4×Dic79C2412yes—
783C4×Dic79C2412yes—
784C4×Dic79C2412yes—
785C4×Dic79C2412yes—
786C4×Dic79C2412yes—
787C4×Dic79C2412yes—
788C4×Dic79C2412yes—
789C4×Dic79C2414yes—
790C4×Dic79C2414yes—
791C4×Dic79C2414yes—
792C4×Dic79C2414yes—
793C4×Dic79C2414yes—
794C4×Dic79C2414yes—
795C24×C79—42no—
796C24×C79—42no—
797C24×C79—42no—
798C24×C79C2411yescharacteristic
799C24×C79C2411yescharacteristic
800C24×C79C2412yes—
801C24×C79C2412yes—
802C24×C79C2411yescharacteristic
803C24×C79C2412yes—
804#41×C79—44no—
805#41×C79—44no—
806C2×Q8×C79C2412yes—
807C2×Q8×C79C2412yes—
808C2×D4×C79—44no—
809C2×D4×C79—44no—
810C2×D4×C79—44no—
811C2×D4×C79C2414yes—
812C2×D4×C79C2414yes—
813C2×D4×C79C2414yes—
814C2×D4×C79C2414yes—
815C2×D4×C79C2412yes—
816C2×D4×C79C2414yes—
817C2×D4×C79C2414yes—
818C2×D4×C79C2412yes—
819C22×C4×C79—42no—
820C22×C4×C79—42no—
821C22×C4×C79C2412yes—
822C22×C4×C79C2412yes—
823C22×C4×C79C2411yescharacteristic
824C22×C4×C79C2412yes—
825C22×C4×C79C2411yescharacteristic
826C22×C4×C79C2414yes—
827C22×C4×C79C2412yes—
828C22×C4×C79C2412yes—
829C22×C4×C79C2411yescharacteristic
830C22×C4×C79C2412yes—
831C22×C4×C79C2412yes—
832C22×C4×C79C2411yescharacteristic
833C22×C4×C79C2414yes—
834C4⋊C4×C79C2412yes—
835C4⋊C4×C79C2412yes—
836C4⋊C4×C79C2412yes—
837C4⋊C4×C79C2412yes—
838C4⋊C4×C79C2414yes—
839C4⋊C4×C79C2414yes—
840C4⋊C4×C79C2414yes—
841C4⋊C4×C79C2414yes—
842C22⋊C4×C79C2414yes—
843C22⋊C4×C79C2414yes—
844C22⋊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—
856C42×C79C2414yes—
857C42×C79C2414yes—
858C23×C79—22no—
859C23×C79—22no—
860C23×C79—22no—
861C23×C79—24no—
862C23×C79—22no—
863C23×C79—24no—
864C23×C79—22no—
865C23×C79—41no—
866C23×C79—42no—
867C23×C79—41no—
868C23×C79—41no—
869C23×C79—42no—
870C23×C79—41no—
871C23×C79—42no—
872C23×C79—42no—
873C23×C79—42no—
874C23×C79—42no—
875C23×C79—42no—
876C23×C79—88no—
877C23×C79C2512yes—
878C23×C79C2512yes—
879C23×C79C2514yes—
880C23×C79C2511yescharacteristic
881C23×C79C2511yescharacteristic
882C23×C79C2511yescharacteristic
883C22×D79—24no—
884C22×D79—24no—
885C22×D79—24no—
886C22×D79—42no—
887C22×D79—42no—
888C22×D79—42no—
889C22×D79—42no—
890C22×D79—42no—
891C22×D79—42no—
892C22×D79—44no—
893C22×D79—42no—
894C22×D79—44no—
895C22×D79—44no—
896C22×D79—42no—
897C22×D79—42no—
898C22×D79—88no—
899C22×D79C2514yes—
900C22×D79C2514yes—
901Q8×C79—42no—
902Q8×C79—42no—
903D4×C79—28no—
904D4×C79—28no—
905D4×C79—28no—
906D4×C79—44no—
907D4×C79—42no—
908D4×C79—44no—
909D4×C79—44no—
910D4×C79—42no—
911C2×C4×C79—24no—
912C2×C4×C79—24no—
913C2×C4×C79—41no—
914C2×C4×C79—42no—
915C2×C4×C79—41no—
916C2×C4×C79—44no—
917C2×C4×C79—42no—
918C2×C4×C79—41no—
919C2×C4×C79—42no—
920C2×C4×C79—41no—
921C2×C4×C79—42no—
922C2×C4×C79—42no—
923C2×C4×C79—44no—
924C2×C4×C79C2512yes—
925C2×C4×C79C2512yes—
926C2×C4×C79C2514yes—
927C2×C4×C79C2512yes—
928C2×C4×C79C2514yes—
929C2×C4×C79C2514yes—
930C2×C4×C79C2512yes—
931C22⋊D79—28no—
932C22⋊D79—28no—
933C22⋊D79—28no—
934C22⋊D79—28no—
935C22⋊D79—28no—
936C22⋊D79—28no—
937C22⋊D79—44no—
938C22⋊D79—44no—
939C22⋊D79—44no—
940C22⋊D79—44no—
941C22⋊D79—44no—
942C22⋊D79—44no—
943C22⋊D79—44no—
944C22⋊D79—44no—
945C22⋊D79—44no—
946C22⋊D79—44no—
947C2×Dic79—22no—
948C2×Dic79—24no—
949C2×Dic79—24no—
950C2×Dic79—24no—
951C2×Dic79—24no—
952C2×Dic79—28no—
953C2×Dic79—41no—
954C2×Dic79—42no—
955C2×Dic79—41no—
956C2×Dic79—42no—
957C2×Dic79—42no—
958C2×Dic79—42no—
959C2×Dic79—42no—
960C2×Dic79—42no—
961C2×Dic79—44no—
962C2×Dic79—44no—
963C2×Dic79H(5,𝔽2)14yes—
964C2×Dic79C2512yes—
965C2×Dic79C2512yes—
966C2×Dic79C2514yes—
967C2×Dic79C2512yes—
968C2×Dic79C2514yes—
969C2×Dic79C2514yes—
970C2×Dic79C2514yes—
971C2×Dic79C2512yes—
972D316—44no—
973D316—44no—
974D316—44no—
975D316—42no—
976D316—42no—
977C4×D79—28no—
978C4×D79—44no—
979C4×D79—44no—
980C4×D79—44no—
981C4×D79—44no—
982C4×D79—44no—
983C4×D79—44no—
984C4×D79—44no—
985Dic158—28no—
986Dic158—28no—
987Dic158—28no—
988Dic158—44no—
989Dic158—44no—
990Dic158—44no—
991Dic158—42no—
992Dic158—44no—
993Dic158—42no—
994C22×C79—28no—
995C22×C79—21no—
996C22×C79—21no—
997C22×C79—21no—
998C22×C79—21no—
999C22×C79—21no—
1000C22×C79—21no—
1001C22×C79—22no—
1002C22×C79—22no—
1003C22×C79—24no—
1004C22×C79—22no—
1005C22×C79—24no—
1006C22×C79—22no—
1007C22×C79—24no—
1008C22×C79—22no—
1009C22×C79—22no—
1010C22×C79—84no—
1011C22×C79—82no—
1012C22×C79—84no—
1013C22×C79—82no—
1014C22×C79—162no—
1015C22×C79C2×H(5,𝔽2)12yes—
1016C22×C79#58512yes—
1017C22×C79#58512yes—
1018C22×C79C2611yescharacteristic
1019C2×D79—24no—
1020C2×D79—24no—
1021C2×D79—24no—
1022C2×D79—24no—
1023C2×D79—24no—
1024C2×D79—24no—
1025C2×D79—84no—
1026C2×D79—84no—
1027C2×D79—84no—
1028C2×D79—164no—
1029C2×D79—162no—
1030C4×C79—22no—
1031C4×C79—22no—
1032C4×C79—24no—
1033C4×C79—22no—
1034C4×C79—22no—
1035C4×C79—24no—
1036C4×C79—24no—
1037Dic79—24no—
1038Dic79—22no—
1039Dic79—24no—
1040Dic79—24no—
1041Dic79—24no—
1042Dic79—22no—
1043Dic79—22no—
1044Dic79C2×H(5,𝔽2)14yes—
1045#62824—791nomaximal, Sylow
1046C2×C79—22no—
1047C2×C79—22no—
1048C2×C79—22no—
1049C2×C79—42no—
1050C2×C79—44no—
1051C2×C79—42no—
1052C2×C79C22×H(5,𝔽2)11yescharacteristic
1053C2×C79C2×#58511yescharacteristic
1054C2×C79C2×#58511yescharacteristic
1055D79—44no—
1056D79—44no—
1057#3561—794no—
1058#3561—792no—
1059#3561—792no—
1060#3558—794no—
1061#3558—792no—
1062#3558—792no—
1063#3545—794no—
1064#3545—794no—
1065#3514—794no—
1066#3514—794no—
1067#3514—794no—
1068#3514—794no—
1069#3510—794no—
1070#3500—794no—
1071#3490—792no—
1072#3490—792no—
1073#3490—792no—
1074#3490—791no—
1075#3490D7911yescharacteristic, complemented
1076#3486—792no—
1077#3484—792no—
1078#3444—792no—
1079C22×#124—791no—
1080C79#6282411yescharacteristic, complemented, Sylow
1081C2×2−1+4—792no—
1082C2×H(5,𝔽2)—792no—
1083C23×Q8—791no—
1084C23×D4—791no—
1085#563—794no—
1086#563—794no—
1087#562—794no—
1088#562—794no—
1089#562—794no—
1090#562—794no—
1091H(3,𝔽4)—794no—
1092H(3,𝔽4)—794no—
1093#559—794no—
1094#559—794no—
1095#559—794no—
1096#559—794no—
1097#556—794no—
1098#556—794no—
1099#556—794no—
1100#556—794no—
1101#555—794no—
1102#555—794no—
1103#555—794no—
1104#555—794no—
1105#551—794no—
1106#551—794no—
1107#551—794no—
1108#551—794no—
1109#551—794no—
1110#551—794no—
1111#551—794no—
1112#551—794no—
1113#551—794no—
1114#551—794no—
1115#551—794no—
1116#551—794no—
1117#551—794no—
1118#551—794no—
1119#551—794no—
1120#551—794no—
1121#551—794no—
1122#551—794no—
1123#551C2×D7914yescomplemented
1124#551C2×D7914yescomplemented
1125D4×Q8—794no—
1126D4×Q8—794no—
1127D4×Q8—794no—
1128D4×Q8—794no—
1129#548—794no—
1130#548—794no—
1131#548—794no—
1132#548—794no—
1133#548—794no—
1134#548—794no—
1135#548—794no—
1136#548—794no—
1137#546—794no—
1138#546—794no—
1139#546—794no—
1140#546—794no—
1141#546—794no—
1142#546—794no—
1143#546—794no—
1144#546—794no—
1145#546—794no—
1146#546—794no—
1147#546—794no—
1148#546—794no—
1149#546—794no—
1150#546—794no—
1151#546—794no—
1152#546—794no—
1153#546—794no—
1154#546—794no—
1155#546—794no—
1156#546—794no—
1157#546—794no—
1158#546—794no—
1159#546C2×D7914yescomplemented
1160#546C2×D7914yescomplemented
1161D42—794no—
1162D42—794no—
1163D42—794no—
1164D42—794no—
1165#543—792no—
1166#543—792no—
1167#543—792no—
1168#543—791no—
1169#543C2×D7911yescharacteristic, complemented
1170#542—794no—
1171#542—794no—
1172#542—794no—
1173#542—794no—
1174#542—794no—
1175#542—794no—
1176#542—794no—
1177#542—794no—
1178#542—794no—
1179#542—794no—
1180#542—794no—
1181#542—794no—
1182#538—794no—
1183#538—794no—
1184#538—794no—
1185#538—792no—
1186#538—792no—
1187#538—792no—
1188#538—792no—
1189#538—794no—
1190#538—794no—
1191#538—794no—
1192#538—794no—
1193#538—794no—
1194#538—794no—
1195#538—794no—
1196#538—794no—
1197#538—792no—
1198#538—792no—
1199#538—794no—
1200#538C2×D7912yescomplemented
1201#538C2×D7912yescomplemented
1202#536—792no—
1203#536—794no—
1204#536—794no—
1205#536—794no—
1206#536—794no—
1207#536—792no—
1208#535—794no—
1209#535—794no—
1210#535—794no—
1211#534—792no—
1212#534—792no—
1213#534—792no—
1214#534—792no—
1215#534—794no—
1216#534—792no—
1217#534—791no—
1218#534C2×D7911yescharacteristic, complemented
1219#533—792no—
1220#533—792no—
1221#533—792no—
1222#532—792no—
1223#532—792no—
1224#532—792no—
1225#532—794no—
1226#532—794no—
1227#529—794no—
1228#529—794no—
1229#529—794no—
1230#529—794no—
1231#529—792no—
1232#529—792no—
1233#529—792no—
1234#529—792no—
1235#529—794no—
1236#529—794no—
1237#529—794no—
1238#529—794no—
1239C2×#124—794no—
1240C2×#124—794no—
1241C2×#124—794no—
1242C2×#124—792no—
1243C2×#124—792no—
1244C2×#124—794no—
1245C2×#124—794no—
1246C2×#124—792no—
1247C2×#124—792no—
1248C2×#124—794no—
1249#525—792no—
1250#525—792no—
1251#525—794no—
1252#525—794no—
1253#525—794no—
1254#525C2×D7912yescomplemented
1255#525C2×D7912yescomplemented
1256C2×#120—792no—
1257C2×#120—794no—
1258C2×#120C2×D7912yescomplemented
1259#519—792no—
1260#518—792no—
1261#518—794no—
1262#518—794no—
1263#518—792no—
1264#518—792no—
1265#518—792no—
1266#518C2×D7912yescomplemented
1267C4×#41—792no—
1268C4×#41—794no—
1269C4×#41—794no—
1270C4×#41—792no—
1271C22×C22⋊C4—791no—
1272C22×C22⋊C4—791no—
1273C22×C22⋊C4—791no—
1274C22×C22⋊C4C2×D7911yescharacteristic, complemented
1275C22×C42—791no—
1276C25—791no—
1277C25C22×D7911yescharacteristic
12782−1+4—3168no—
1279H(5,𝔽2)—3168no—
1280C2×#41—794no—
1281C2×#41—794no—
1282C2×#41—794no—
1283C2×#41—794no—
1284C2×#41—794no—
1285C2×#41—792no—
1286C2×#41—792no—
1287C2×#41—794no—
1288C2×#41—794no—
1289C2×#41C22×D7912yes—
1290C2×#41C22×D7912yes—
1291C22×Q8—3164no—
1292C22×Q8—794no—
1293C22×Q8—792no—
1294C22×Q8—792no—
1295C22×Q8—794no—
1296C22×Q8—792no—
1297C22×Q8—794no—
1298C22×Q8—792no—
1299C22×D4—3164no—
1300C22×D4—792no—
1301C22×D4—792no—
1302C22×D4—792no—
1303C22×D4—792no—
1304C22×D4—792no—
1305C22×D4—794no—
1306C22×D4—792no—
1307C22×D4—794no—
1308C22×D4—794no—
1309C22×D4—794no—
1310C22×D4—794no—
1311C22×D4—794no—
1312C22×D4—792no—
1313C22×D4C22×D7912yes—
1314C22×D4C22×D7912yes—
1315C22×D4C22×D7912yes—
1316C23×C4—791no—
1317C23×C4—791no—
1318C23×C4—791no—
1319C23×C4C22×D7911yescharacteristic
1320C23×C4C22×D7911yescharacteristic
1321C4⋊Q8—792no—
1322C4⋊Q8—794no—
1323C4⋊Q8—792no—
1324C4⋊Q8—792no—
1325C4⋊Q8—794no—
1326C4⋊Q8—794no—
1327C4⋊Q8—794no—
1328C4⋊Q8—794no—
1329C4⋊Q8—794no—
1330#127—792no—
1331#127—794no—
1332#127—794no—
1333#126—794no—
1334#126—794no—
1335#126—794no—
1336#126—794no—
1337#126—794no—
1338#126—794no—
1339#126—794no—
1340#126—794no—
1341#126—794no—
1342#126—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#126C22×D7914yescomplemented
1352#126C22×D7914yescomplemented
1353#125—794no—
1354#125—794no—
1355#125—792no—
1356#125—792no—
1357#124—794no—
1358#124—792no—
1359#124—794no—
1360#124—794no—
1361#124—792no—
1362#124—794no—
1363#124—794no—
1364#124—794no—
1365#124—794no—
1366#124—794no—
1367#124—794no—
1368#124—794no—
1369#124—794no—
1370#124—794no—
1371#124—794no—
1372#124—794no—
1373#124—794no—
1374#124—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#124—794no—
1388#124—794no—
1389#124—794no—
1390#124—794no—
1391#124—794no—
1392#124—794no—
1393#124—794no—
1394#124—794no—
1395#124—794no—
1396#124—794no—
1397#124—794no—
1398#124—794no—
1399#124C22×D7914yescomplemented
1400#124C22×D7914yescomplemented
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#123C22×D7914yes—
1435#123C22×D7914yes—
1436#123C22×D7914yescomplemented
1437#123C22×D7914yescomplemented
1438#123C22×D7914yescomplemented
1439C22⋊Q8—794no—
1440C22⋊Q8—794no—
1441C22⋊Q8—792no—
1442C22⋊Q8—792no—
1443C22⋊Q8—792no—
1444C22⋊Q8—792no—
1445C22⋊Q8—794no—
1446C22⋊Q8—794no—
1447C22⋊Q8—794no—
1448C22⋊Q8—794no—
1449C22⋊Q8—794no—
1450C22⋊Q8—794no—
1451C22⋊Q8—794no—
1452C22⋊Q8—794no—
1453C22⋊Q8—794no—
1454C22⋊Q8—794no—
1455C22⋊Q8—794no—
1456C22⋊Q8—794no—
1457C22⋊Q8—794no—
1458C22⋊Q8—794no—
1459C22⋊Q8—794no—
1460C22⋊Q8—794no—
1461C22⋊Q8—794no—
1462C22⋊Q8—794no—
1463C22⋊Q8—794no—
1464C22⋊Q8—794no—
1465C22⋊Q8—794no—
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⋊Q8C22×D7912yes—
1476C22⋊Q8C22×D7912yes—
1477C22⋊Q8C22×D7912yes—
1478C22⋊Q8C22×D7912yes—
1479C22⋊Q8C22×D7914yescomplemented
1480C22⋊Q8C22×D7914yescomplemented
1481#121—794no—
1482#121—794no—
1483#121—794no—
1484#121—794no—
1485#121—794no—
1486#121—794no—
1487#121—794no—
1488#121—794no—
1489#121—794no—
1490#121—794no—
1491#121—794no—
1492#121—794no—
1493#121—794no—
1494#121—794no—
1495#121—794no—
1496#121—794no—
1497#121—794no—
1498#121—794no—
1499#121—792no—
1500#121—792no—
1501#121—792no—
1502#121—792no—
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—794no—
1515#121—794no—
1516#121—794no—
1517#121C22×D7912yes—
1518#121C22×D7912yes—
1519#121C22×D7912yes—
1520#121C22×D7912yes—
1521#121C22×D7914yescomplemented
1522#121C22×D7914yescomplemented
1523#120—794no—
1524#120—794no—
1525#120—794no—
1526#120—794no—
1527#120—794no—
1528#120—794no—
1529#120—794no—
1530#120—794no—
1531#120—794no—
1532#120—794no—
1533#120—794no—
1534#120—794no—
1535#120—794no—
1536#120—794no—
1537#120—794no—
1538#120—794no—
1539#120—794no—
1540#120—794no—
1541#120—794no—
1542#120—794no—
1543#120—794no—
1544#120C22×D7914yes—
1545#120C22×D7914yes—
1546#120C22×D7914yes—
1547#120C22×D7914yes—
1548#120C22×D7914yescomplemented
1549C4×Q8—792no—
1550C4×Q8—792no—
1551C4×Q8—792no—
1552C4×Q8—794no—
1553C4×Q8—792no—
1554C4×Q8—794no—
1555C4×Q8—794no—
1556C4×Q8—794no—
1557C4×Q8—794no—
1558C4×Q8—794no—
1559C4×Q8—794no—
1560C4×Q8—794no—
1561C4×D4—794no—
1562C4×D4—794no—
1563C4×D4—794no—
1564C4×D4—794no—
1565C4×D4—792no—
1566C4×D4—792no—
1567C4×D4—794no—
1568C4×D4—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—792no—
1584C4×D4—792no—
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×D4C22×D7914yes—
1604C4×D4C22×D7914yes—
1605C4×D4C22×D7914yes—
1606C4×D4C22×D7914yes—
1607C4×D4C22×D7914yescomplemented
1608C4×D4C22×D7914yescomplemented
1609#117—792no—
1610#117—794no—
1611#117—794no—
1612#117—792no—
1613#117—794no—
1614#117—794no—
1615#117—794no—
1616#117—794no—
1617#117—794no—
1618#117—794no—
1619#117—794no—
1620#117—794no—
1621#117—794no—
1622#117—794no—
1623#117—794no—
1624#117—794no—
1625#117—794no—
1626#117—794no—
1627#117C22×D7912yes—
1628#117C22×D7912yes—
1629#117C22×D7914yescomplemented
1630C2×C22⋊C4—792no—
1631C2×C22⋊C4—792no—
1632C2×C22⋊C4—794no—
1633C2×C22⋊C4—792no—
1634C2×C22⋊C4—792no—
1635C2×C22⋊C4—792no—
1636C2×C22⋊C4—792no—
1637C2×C22⋊C4—792no—
1638C2×C22⋊C4—794no—
1639C2×C22⋊C4—792no—
1640C2×C22⋊C4—792no—
1641C2×C22⋊C4—792no—
1642C2×C22⋊C4—792no—
1643C2×C22⋊C4—794no—
1644C2×C22⋊C4—794no—
1645C2×C22⋊C4—792no—
1646C2×C22⋊C4—792no—
1647C2×C22⋊C4—794no—
1648C2×C22⋊C4—794no—
1649C2×C22⋊C4—794no—
1650C2×C22⋊C4—794no—
1651C2×C22⋊C4—794no—
1652C2×C22⋊C4—794no—
1653C2×C22⋊C4—794no—
1654C2×C22⋊C4—794no—
1655C2×C22⋊C4—794no—
1656C2×C22⋊C4—794no—
1657C2×C22⋊C4C22×D7911yescharacteristic
1658C2×C22⋊C4C22×D7911yescharacteristic
1659C2×C22⋊C4C22×D7911yescharacteristic
1660C2×C22⋊C4C22×D7911yescharacteristic
1661C2×C22⋊C4C22×D7914yes—
1662C2×C22⋊C4C22×D7914yes—
1663C2×C22⋊C4C22×D7912yes—
1664C2×C22⋊C4C22×D7912yes—
1665C2×C22⋊C4C22×D7912yes—
1666C2×C22⋊C4C22×D7914yescomplemented
1667C2×C42—794no—
1668C2×C42—792no—
1669C2×C42—792no—
1670C2×C42—792no—
1671C2×C42—792no—
1672C2×C42—792no—
1673C2×C42—792no—
1674C2×C42—794no—
1675C24—42no—
1676C24—42no—
1677C24—42no—
1678C24—3162no—
1679C24—3162no—
1680C24—3162no—
1681C24—794no—
1682C24—792no—
1683C24—792no—
1684C24—792no—
1685C24—792no—
1686C24C23×D7911yescharacteristic
1687C24C23×D7911yescharacteristic
1688C24C23×D7912yes—
1689C24C23×D7912yes—
1690C24C23×D7911yescharacteristic
1691C24C23×D7912yes—
1692#41—44no—
1693#41—44no—
1694#41—3164no—
1695#41—3164no—
1696#41—3168no—
1697#41—3168no—
1698#41—3168no—
1699#41—3168no—
1700#41—3168no—
1701#41—3168no—
1702#41—15816no—
1703C2×Q8—3164no—
1704C2×Q8—3164no—
1705C2×Q8—3168no—
1706C2×Q8—3164no—
1707C2×Q8—3168no—
1708C2×Q8—3168no—
1709C2×Q8—794no—
1710C2×Q8—792no—
1711C2×Q8—794no—
1712C2×Q8—792no—
1713C2×Q8—794no—
1714C2×Q8—794no—
1715C2×Q8—794no—
1716C2×Q8—794no—
1717C2×Q8—794no—
1718C2×Q8—1588no—
1719C2×Q8C23×D7912yes—
1720C2×Q8C23×D7912yes—
1721C2×D4—44no—
1722C2×D4—44no—
1723C2×D4—44no—
1724C2×D4—3168no—
1725C2×D4—3168no—
1726C2×D4—3168no—
1727C2×D4—3164no—
1728C2×D4—3164no—
1729C2×D4—3164no—
1730C2×D4—3168no—
1731C2×D4—3164no—
1732C2×D4—3164no—
1733C2×D4—3168no—
1734C2×D4—3164no—
1735C2×D4—3168no—
1736C2×D4—794no—
1737C2×D4—794no—
1738C2×D4—794no—
1739C2×D4—794no—
1740C2×D4—794no—
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—792no—
1753C2×D4—794no—
1754C2×D4—794no—
1755C2×D4—792no—
1756C2×D4—794no—
1757C2×D4—1588no—
1758C2×D4C23×D7914yes—
1759C2×D4C23×D7914yes—
1760C2×D4C23×D7914yes—
1761C2×D4C23×D7914yes—
1762C2×D4C23×D7912yes—
1763C2×D4C23×D7914yes—
1764C2×D4C23×D7912yes—
1765C2×D4C23×D7914yes—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—3162no—
1769C22×C4—3162no—
1770C22×C4—791no—
1771C22×C4—792no—
1772C22×C4—791no—
1773C22×C4—794no—
1774C22×C4—792no—
1775C22×C4—792no—
1776C22×C4—792no—
1777C22×C4—792no—
1778C22×C4—794no—
1779C22×C4—792no—
1780C22×C4—794no—
1781C22×C4—794no—
1782C22×C4—794no—
1783C22×C4—794no—
1784C22×C4—794no—
1785C22×C4—794no—
1786C22×C4—794no—
1787C22×C4—791no—
1788C22×C4—792no—
1789C22×C4—792no—
1790C22×C4—792no—
1791C22×C4—791no—
1792C22×C4—794no—
1793C22×C4—792no—
1794C22×C4—794no—
1795C22×C4—1584no—
1796C22×C4C23×D7912yes—
1797C22×C4C23×D7912yes—
1798C22×C4C23×D7911yescharacteristic
1799C22×C4C23×D7912yes—
1800C22×C4C23×D7911yescharacteristic
1801C22×C4C23×D7914yes—
1802C22×C4C23×D7911yescharacteristic
1803C22×C4C23×D7912yes—
1804C22×C4C23×D7911yescharacteristic
1805C22×C4C23×D7914yes—
1806C22×C4C23×D7912yes—
1807C22×C4C23×D7912yes—
1808C22×C4C23×D7912yes—
1809C4⋊C4—794no—
1810C4⋊C4—794no—
1811C4⋊C4—794no—
1812C4⋊C4—794no—
1813C4⋊C4—794no—
1814C4⋊C4—794no—
1815C4⋊C4—794no—
1816C4⋊C4—794no—
1817C4⋊C4—794no—
1818C4⋊C4—794no—
1819C4⋊C4—794no—
1820C4⋊C4—794no—
1821C4⋊C4—794no—
1822C4⋊C4—794no—
1823C4⋊C4—794no—
1824C4⋊C4—794no—
1825C4⋊C4—794no—
1826C4⋊C4—794no—
1827C4⋊C4—794no—
1828C4⋊C4—794no—
1829C4⋊C4—794no—
1830C4⋊C4—794no—
1831C4⋊C4—792no—
1832C4⋊C4—792no—
1833C4⋊C4—792no—
1834C4⋊C4—792no—
1835C4⋊C4C23×D7914yes—
1836C4⋊C4C23×D7914yes—
1837C4⋊C4C23×D7914yes—
1838C4⋊C4C23×D7912yes—
1839C4⋊C4C23×D7912yes—
1840C4⋊C4C23×D7912yes—
1841C4⋊C4C23×D7912yes—
1842C4⋊C4C23×D7914yes—
1843C22⋊C4—794no—
1844C22⋊C4—794no—
1845C22⋊C4—794no—
1846C22⋊C4—794no—
1847C22⋊C4—794no—
1848C22⋊C4—794no—
1849C22⋊C4—794no—
1850C22⋊C4—794no—
1851C22⋊C4—794no—
1852C22⋊C4—794no—
1853C22⋊C4—794no—
1854C22⋊C4—794no—
1855C22⋊C4—794no—
1856C22⋊C4—794no—
1857C22⋊C4—794no—
1858C22⋊C4—794no—
1859C22⋊C4—794no—
1860C22⋊C4—794no—
1861C22⋊C4—794no—
1862C22⋊C4—794no—
1863C22⋊C4—794no—
1864C22⋊C4—794no—
1865C22⋊C4—794no—
1866C22⋊C4—794no—
1867C22⋊C4—794no—
1868C22⋊C4—794no—
1869C22⋊C4—794no—
1870C22⋊C4—794no—
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⋊C4C23×D7914yes—
1884C22⋊C4C23×D7914yes—
1885C22⋊C4C23×D7914yes—
1886C22⋊C4C23×D7914yes—
1887C22⋊C4C23×D7914yes—
1888C22⋊C4C23×D7914yes—
1889C22⋊C4C23×D7914yes—
1890C22⋊C4C23×D7914yes—
1891C22⋊C4C23×D7914yes—
1892C22⋊C4C23×D7914yes—
1893C22⋊C4C23×D7914yes—
1894C22⋊C4C23×D7914yes—
1895C22⋊C4C23×D7914yes—
1896C22⋊C4C23×D7914yes—
1897C42—792no—
1898C42—792no—
1899C42—792no—
1900C42—792no—
1901C42—792no—
1902C42—792no—
1903C42—792no—
1904C42—792no—
1905C42—794no—
1906C42—794no—
1907C42—794no—
1908C42—794no—
1909C42—794no—
1910C42—794no—
1911C42—794no—
1912C42—794no—
1913C42C23×D7914yes—
1914C42C23×D7914yes—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—24no—
1919C23—24no—
1920C23—22no—
1921C23—22no—
1922C23—41no—
1923C23—42no—
1924C23—41no—
1925C23—41no—
1926C23—42no—
1927C23—41no—
1928C23—42no—
1929C23—42no—
1930C23—42no—
1931C23—42no—
1932C23—42no—
1933C23—88no—
1934C23—3162no—
1935C23—3162no—
1936C23—3162no—
1937C23—3162no—
1938C23—3162no—
1939C23—3162no—
1940C23—3164no—
1941C23—3162no—
1942C23—3164no—
1943C23—3162no—
1944C23—3164no—
1945C23—3162no—
1946C23—794no—
1947C23—794no—
1948C23—6328no—
1949C23—1584no—
1950C23—1584no—
1951C23—1584no—
1952C23C24×D7912yes—
1953C23C24×D7912yes—
1954C23C24×D7914yes—
1955C23C24×D7911yescharacteristic
1956C23C24×D7911yescharacteristic
1957C23C24×D7911yescharacteristic
1958Q8—42no—
1959Q8—42no—
1960Q8—3164no—
1961Q8—3164no—
1962Q8—3162no—
1963Q8—3164no—
1964Q8—3162no—
1965Q8—3164no—
1966Q8—1588no—
1967Q8—1588no—
1968Q8—1588no—
1969D4—28no—
1970D4—28no—
1971D4—28no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—42no—
1976D4—42no—
1977D4—3164no—
1978D4—3164no—
1979D4—3164no—
1980D4—3162no—
1981D4—3162no—
1982D4—3164no—
1983D4—3164no—
1984D4—3164no—
1985D4—3164no—
1986D4—3164no—
1987D4—3164no—
1988D4—3164no—
1989D4—3164no—
1990D4—3164no—
1991D4—3164no—
1992D4—1588no—
1993D4—1588no—
1994D4—1588no—
1995D4—1588no—
1996D4—1588no—
1997D4—1588no—
1998C2×C4—24no—
1999C2×C4—24no—
2000C2×C4—41no—
2001C2×C4—42no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—42no—
2005C2×C4—41no—
2006C2×C4—42no—
2007C2×C4—42no—
2008C2×C4—42no—
2009C2×C4—44no—
2010C2×C4—44no—
2011C2×C4—3164no—
2012C2×C4—3164no—
2013C2×C4—3164no—
2014C2×C4—3164no—
2015C2×C4—3164no—
2016C2×C4—3164no—
2017C2×C4—3164no—
2018C2×C4—3162no—
2019C2×C4—3162no—
2020C2×C4—3161no—
2021C2×C4—3162no—
2022C2×C4—3161no—
2023C2×C4—3162no—
2024C2×C4—3162no—
2025C2×C4—3162no—
2026C2×C4—3164no—
2027C2×C4—3164no—
2028C2×C4—794no—
2029C2×C4—792no—
2030C2×C4—792no—
2031C2×C4—792no—
2032C2×C4—794no—
2033C2×C4—794no—
2034C2×C4—792no—
2035C2×C4—794no—
2036C2×C4—794no—
2037C2×C4—1588no—
2038C2×C4—1584no—
2039C2×C4—1584no—
2040C2×C4—1588no—
2041C2×C4—1584no—
2042C2×C4—1582no—
2043C2×C4—1584no—
2044C2×C4C24×D7912yes—
2045C2×C4C24×D7912yes—
2046C2×C4C24×D7914yes—
2047C2×C4C24×D7914yes—
2048C2×C4C24×D7912yes—
2049C2×C4C24×D7914yes—
2050C2×C4C24×D7912yes—
2051C22—28no—
2052C22—21no—
2053C22—21no—
2054C22—21no—
2055C22—21no—
2056C22—21no—
2057C22—21no—
2058C22—24no—
2059C22—22no—
2060C22—22no—
2061C22—24no—
2062C22—22no—
2063C22—22no—
2064C22—22no—
2065C22—24no—
2066C22—22no—
2067C22—84no—
2068C22—84no—
2069C22—82no—
2070C22—82no—
2071C22—162no—
2072C22—6324no—
2073C22—6324no—
2074C22—6324no—
2075C22—1584no—
2076C22—1584no—
2077C22—1584no—
2078C22—1584no—
2079C22—1584no—
2080C22—1584no—
2081C22—12642no—
2082C22—12644no—
2083C22H(5,𝔽2)×D7912yes—
2084C22#1909939812yes—
2085C22#1909939912yes—
2086C22C25×D7911yescharacteristic
2087C4—22no—
2088C4—22no—
2089C4—24no—
2090C4—22no—
2091C4—22no—
2092C4—24no—
2093C4—24no—
2094C4—794no—
2095C4—1584no—
2096C4—1584no—
2097C4—1582no—
2098C4—1584no—
2099C4—1582no—
2100C4—1584no—
2101C4—1582no—
2102C2—22no—
2103C2—22no—
2104C2—22no—
2105C2—42no—
2106C2—42no—
2107C2—44no—
2108C2—3164no—
2109C2—3164no—
2110C2C2×H(5,𝔽2)×D7911yescharacteristic
2111C2C2×#1909939811yescharacteristic
2112C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3490C2
hypercenter#3490D79
hypocenterC79#62824
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #23777967C2semidirect
2. #23777960C2semidirect
3. #23777958C2semidirect
4. #23777921C2semidirect
5. #23777912C2semidirect
6. #23777910C2semidirect
7. #23777756C2semidirect
8. #23777747C2semidirect
9. #23777353C2semidirect
10. #23777351C2semidirect
11. #23777350C2semidirect
12. #23777348C2semidirect
13. #23777288C2semidirect
14. #23777186C2semidirect
15. #23777089C2semidirect
16. #23777087C2semidirect
17. #23777083C2semidirect
18. #23777083C2semidirect
19. #23777047C2semidirect
20. #23777029C2semidirect
21. #23776692C2semidirect
22. C22×#14579147C2semidirect
23. C79×#3490C2semidirect
24. C2×#14579208C22semidirect
25. C2×#14579206C22semidirect
26. C23×Dic158C22semidirect
28. #19099315C22semidirect
29. #19099314C22semidirect
30. #19099310C22semidirect
31. #19099310C22semidirect
32. #19099309C22semidirect
33. #19099308C22semidirect
34. #19099306C22semidirect
35. #19099305C22semidirect
36. #19099297C22semidirect
37. #19099297C22semidirect
38. #19099296C22semidirect
39. #19099295C22semidirect
40. #19099284C22semidirect
41. #19099281C22semidirect
42. #19099280C22semidirect
43. #19099280C22semidirect
44. #19099278C22semidirect
45. #19099277C22semidirect
46. #19099276C22semidirect
47. #19099275C22semidirect
48. #19099244C22semidirect
49. #19099244C22semidirect
50. #19099242C22semidirect
51. #19099242C22semidirect
52. #19099242C22semidirect
53. #19099240C22semidirect
54. #19099240C22semidirect
55. #19099239C22semidirect
56. #19099239C22semidirect
57. #19099239C22semidirect
58. #19099239C22semidirect
59. #19099239C22semidirect
60. #19099238C22semidirect
61. #19099237C22semidirect
62. #19099237C22semidirect
63. #19099236C22semidirect
64. #19099236C22semidirect
65. #19099236C22semidirect
66. D4×Dic158C22semidirect
67. D4×Dic158C22semidirect
68. #19099226C22semidirect
69. #19099226C22semidirect
70. #19099223C22semidirect
71. #19099222C22semidirect
72. #19099222C22semidirect
73. #19099222C22semidirect
74. #19099221C22semidirect
75. #19099219C22semidirect
76. #19099219C22semidirect
77. #19099219C22semidirect
78. #19099208C22semidirect
79. #19099208C22semidirect
80. #19099207C22semidirect
81. #19099207C22semidirect
82. #19099205C22semidirect
83. #19099205C22semidirect
84. #19099205C22semidirect
85. #19099203C22semidirect
86. #19099203C22semidirect
87. #19099203C22semidirect
88. #19099203C22semidirect
89. #19099203C22semidirect
90. #19099202C22semidirect
91. #19099202C22semidirect
92. #19099202C22semidirect
93. #19099201C22semidirect
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. #19099189C22semidirect
105. #19099189C22semidirect
106. #19099188C22semidirect
107. #19099188C22semidirect
108. #19099186C22semidirect
109. #19099184C22semidirect
110. #19099183C22semidirect
111. #19099183C22semidirect
112. #19099182C22semidirect
113. #19099181C22semidirect
114. #19099181C22semidirect
115. #19099179C22semidirect
116. #19099179C22semidirect
117. #19099178C22semidirect
118. #19099177C22semidirect
119. #19099177C22semidirect
120. #19099153C22semidirect
121. #19099153C22semidirect
122. #19099152C22semidirect
123. #19099151C22semidirect
124. #19099151C22semidirect
125. #19099151C22semidirect
126. #19099150C22semidirect
127. #19099150C22semidirect
128. #19099150C22semidirect
129. #19099149C22semidirect
130. #19099149C22semidirect
131. #19099148C22semidirect
132. #19099148C22semidirect
133. #19099148C22semidirect
134. #19099146C22semidirect
135. #19099146C22semidirect
136. #19099146C22semidirect
137. #19099145C22semidirect
138. #19099139C22semidirect
139. #19099136C22semidirect
140. #19099135C22semidirect
141. #19099135C22semidirect
142. #19099135C22semidirect
143. #19099134C22semidirect
144. #19099129C22semidirect
146. #19099128C22semidirect
147. #19099125C22semidirect
148. #19099125C22semidirect
149. #19099123C22semidirect
150. #19099122C22semidirect
151. #19099122C22semidirect
152. #19099121C22semidirect
153. #19099121C22semidirect
154. #19099116C22semidirect
155. #19099115C22semidirect
156. #19099115C22semidirect
157. #19099110C22semidirect
158. #19099109C22semidirect
159. #19099108C22semidirect
160. #19099108C22semidirect
161. #19099108C22semidirect
162. #19099099C22semidirect
163. #19099099C22semidirect
164. #19099096C22semidirect
165. #19099094C22semidirect
166. #19099094C22semidirect
167. #19099093C22semidirect
168. #19099093C22semidirect
169. #19099093C22semidirect
170. #19099091C22semidirect
171. #19099090C22semidirect
172. #19099090C22semidirect
173. #19099090C22semidirect
174. C2×#14579147C22semidirect
175. C2×#14579147C22semidirect
176. C2×#14579147C22semidirect
177. C2×#14579147C22semidirect
178. C2×#14579147C22semidirect
179. C2×#14579147C22semidirect
180. C2×#14579147C22semidirect
181. C2×#14579147C22semidirect
182. C2×#14579147C22semidirect
183. #124×D79C22semidirect
184. #19099074C22semidirect
185. #19099074C22semidirect
186. #19099069C22semidirect
187. #19099069C22semidirect
188. #19099069C22semidirect
189. C2×#14579130C22semidirect
190. #120×D79C22semidirect
191. #19099040C22semidirect
192. #19099038C22semidirect
193. #19099036C22semidirect
194. #19099036C22semidirect
195. #19099036C22semidirect
196. #19099035C22semidirect
197. #19099035C22semidirect
198. #41×Dic79C22semidirect
199. #19099031C22semidirect
200. C4×#11929623C22semidirect
201. C4×#11929623C22semidirect
202. C22×C22⋊Dic79C22semidirect
203. C22×(C2×D79)⋊C4C22semidirect
204. C22×(C2×D79)⋊C4C22semidirect
205. C22×C4×Dic79C22semidirect
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
225. C2×#11929624C23semidirect
230. C2×#11929623C23semidirect
237. C22×Dic158C23semidirect
238. C2×Q8×D79C23semidirect
256. #14579161C23semidirect
257. #14579160C23semidirect
258. #14579160C23semidirect
259. #14579160C23semidirect
260. #14579160C23semidirect
261. #14579160C23semidirect
262. #14579160C23semidirect
263. #14579159C23semidirect
264. #14579159C23semidirect
267. #14579157C23semidirect
268. #14579156C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579156C23semidirect
272. #14579156C23semidirect
273. #14579156C23semidirect
274. #14579156C23semidirect
275. #14579156C23semidirect
276. #14579155C23semidirect
277. #14579155C23semidirect
278. #14579154C23semidirect
279. #14579154C23semidirect
280. #14579154C23semidirect
281. #14579154C23semidirect
282. #14579154C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579152C23semidirect
287. #14579152C23semidirect
288. #14579151C23semidirect
289. #14579151C23semidirect
290. #14579150C23semidirect
291. #14579150C23semidirect
292. #14579150C23semidirect
293. #14579149C23semidirect
294. #14579149C23semidirect
295. #14579149C23semidirect
296. #14579148C23semidirect
297. #14579148C23semidirect
298. #14579148C23semidirect
299. #14579148C23semidirect
318. #14579147C23semidirect
319. #14579147C23semidirect
320. #14579147C23semidirect
321. #14579147C23semidirect
322. #14579147C23semidirect
323. #14579147C23semidirect
324. #14579147C23semidirect
325. #14579147C23semidirect
326. #14579147C23semidirect
327. #14579147C23semidirect
328. #14579147C23semidirect
329. #14579147C23semidirect
330. #14579147C23semidirect
331. #14579147C23semidirect
332. #14579146C23semidirect
333. #14579146C23semidirect
334. #14579146C23semidirect
335. #14579146C23semidirect
336. #14579146C23semidirect
337. #14579146C23semidirect
342. #14579145C23semidirect
343. #14579145C23semidirect
344. #14579145C23semidirect
348. #14579144C23semidirect
349. #14579144C23semidirect
350. #14579144C23semidirect
353. #14579143C23semidirect
354. #14579143C23semidirect
355. #14579143C23semidirect
356. #14579143C23semidirect
357. #14579143C23semidirect
358. #14579143C23semidirect
362. #14579142C23semidirect
363. #14579142C23semidirect
364. #14579142C23semidirect
365. #14579141C23semidirect
366. #14579141C23semidirect
367. #14579141C23semidirect
368. #14579141C23semidirect
373. #14579140C23semidirect
374. #14579140C23semidirect
375. #14579140C23semidirect
376. #14579140C23semidirect
377. #14579139C23semidirect
378. #14579139C23semidirect
379. #14579139C23semidirect
380. #14579139C23semidirect
381. #14579139C23semidirect
382. #14579139C23semidirect
383. #14579139C23semidirect
384. #14579139C23semidirect
391. #14579138C23semidirect
392. #14579138C23semidirect
393. #14579138C23semidirect
394. #14579138C23semidirect
395. #14579138C23semidirect
396. #14579138C23semidirect
397. #14579138C23semidirect
398. #14579138C23semidirect
399. #14579137C23semidirect
400. #14579137C23semidirect
401. #14579136C23semidirect
402. #14579136C23semidirect
409. #14579135C23semidirect
410. #14579135C23semidirect
415. #14579134C23semidirect
416. #14579134C23semidirect
417. #14579134C23semidirect
418. #14579134C23semidirect
429. #14579133C23semidirect
430. #14579133C23semidirect
431. #14579133C23semidirect
432. #14579133C23semidirect
435. #14579132C23semidirect
436. #14579132C23semidirect
441. #14579131C23semidirect
442. #14579131C23semidirect
443. #14579131C23semidirect
449. #14579130C23semidirect
455. #14579129C23semidirect
456. #14579129C23semidirect
457. #14579129C23semidirect
458. Q8×Dic79C23semidirect
459. Q8×Dic79C23semidirect
460. C4×Dic158C23semidirect
461. C4×Dic158C23semidirect
462. C4×Dic158C23semidirect
463. C4×Dic158C23semidirect
464. #14579126C23semidirect
465. #14579126C23semidirect
466. #14579126C23semidirect
467. #14579126C23semidirect
468. #14579126C23semidirect
469. #14579126C23semidirect
470. C4×D316C23semidirect
471. C4×D316C23semidirect
478. D4×Dic79C23semidirect
479. D4×Dic79C23semidirect
480. D4×Dic79C23semidirect
481. D4×Dic79C23semidirect
482. #14579123C23semidirect
483. #14579123C23semidirect
484. #14579123C23semidirect
485. #14579123C23semidirect
492. C4×C22⋊D79C23semidirect
493. C4×C22⋊D79C23semidirect
494. C4×C22⋊D79C23semidirect
495. C4×C22⋊D79C23semidirect
496. C4×C22⋊D79C23semidirect
497. C4×C22⋊D79C23semidirect
506. (C22⋊D79)⋊C4C23semidirect
507. (C22⋊D79)⋊C4C23semidirect
508. (C22⋊D79)⋊C4C23semidirect
509. (C22⋊D79)⋊C4C23semidirect
510. (C22⋊D79)⋊C4C23semidirect
511. (C22⋊D79)⋊C4C23semidirect
514. #14579120C23semidirect
515. #14579120C23semidirect
516. #14579119C23semidirect
517. #14579119C23semidirect
518. #14579119C23semidirect
519. #14579119C23semidirect
520. #14579118C23semidirect
521. #14579118C23semidirect
522. #14579118C23semidirect
526. #14579117C23semidirect
527. #14579117C23semidirect
528. #14579117C23semidirect
529. #14579117C23semidirect
538. C2×C22⋊Dic79C23semidirect
548. C2×(C2×D79)⋊C4C23semidirect
549. C2×(C2×D79)⋊C4C23semidirect
553. C22⋊C4×D79C23semidirect
554. C22⋊C4×D79C23semidirect
555. C22⋊C4×D79C23semidirect
556. C22⋊C4×D79C23semidirect
563. C2×C4×Dic79C23semidirect
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
1075. #3490D79semidirect
1080. C79#62824semidirect
1123. #551C2×D79semidirect
1124. #551C2×D79semidirect
1159. #546C2×D79semidirect
1160. #546C2×D79semidirect
1169. #543C2×D79semidirect
1200. #538C2×D79semidirect
1201. #538C2×D79semidirect
1218. #534C2×D79semidirect
1254. #525C2×D79semidirect
1255. #525C2×D79semidirect
1258. C2×#120C2×D79semidirect
1266. #518C2×D79semidirect
1274. C22×C22⋊C4C2×D79semidirect
1351. #126C22×D79semidirect
1352. #126C22×D79semidirect
1399. #124C22×D79semidirect
1400. #124C22×D79semidirect
1436. #123C22×D79semidirect
1437. #123C22×D79semidirect
1438. #123C22×D79semidirect
1479. C22⋊Q8C22×D79semidirect
1480. C22⋊Q8C22×D79semidirect
1521. #121C22×D79semidirect
1522. #121C22×D79semidirect
1548. #120C22×D79semidirect
1607. C4×D4C22×D79semidirect
1608. C4×D4C22×D79semidirect
1629. #117C22×D79semidirect
1666. C2×C22⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237779672
#237779602
#237779582
#237779212
#237779122
#237779102
#237777562
#237777472
#237773532
#237773512
#237773502
#237773482
#237772882
#237771862
#237770892
#237770872
#237770832
#237770472
#237770292
#237766922
C22×#145791472
C79×#34902
#6282479