Finite Group Databasebeta

← #35196911

Subgroups — #35196911

Order 20224.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777686C214yesmaximal, complemented
2#23777678C214yesmaximal, complemented
3#23777647C212yesmaximal, complemented
4#23777642C212yesmaximal, complemented
5#23777624C212yesmaximal, complemented
6#23777617C212yesmaximal, complemented
7#23777612C214yesmaximal, complemented
8#23777601C214yesmaximal, complemented
9#23777441C214yesmaximal, complemented
10#23777439C214yesmaximal, complemented
11#23777233C214yesmaximal, complemented
12#23777199C214yesmaximal, complemented
13#23777143C214yesmaximal, complemented
14#23777109C211yesmaximal, characteristic, complemented
15#23777101C212yesmaximal, complemented
16#23777101C212yesmaximal, complemented
17#23777083C212yesmaximal, complemented
18#23777083C212yesmaximal, complemented
19#23777074C214yesmaximal, complemented
20#23777047C212yesmaximal, complemented
21#525×D79C212yesmaximal, complemented
22C22×#14579139C211yesmaximal, characteristic, complemented
23C79×#3492C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yescomplemented
25C2×#41×D79C2212yescomplemented
26C23×Dic158C2211yescharacteristic, complemented
27C23×C4×D79C2211yescharacteristic
28#19099317C2214yescomplemented
29#19099315C2214yescomplemented
30#19099314C2214yescomplemented
31#19099312C2214yescomplemented
32#19099311C2214yescomplemented
33#19099310C2214yescomplemented
34#19099309C2214yescomplemented
35#19099308C2214yescomplemented
36#19099285C2214yescomplemented
37#19099280C2214yescomplemented
38#19099273C2214yescomplemented
39#19099272C2214yescomplemented
40#19099272C2214yescomplemented
41#19099269C2214yescomplemented
42#19099269C2214yescomplemented
43#19099268C2214yescomplemented
44#19099268C2214yescomplemented
45#19099267C2214yescomplemented
46#19099267C2214yescomplemented
47#19099267C2214yescomplemented
48#19099267C2214yescomplemented
49#19099262C2214yescomplemented
50#19099262C2214yescomplemented
51#19099261C2214yescomplemented
52#19099256C2214yescomplemented
53#19099256C2214yescomplemented
54#19099250C2214yescomplemented
55#19099250C2214yescomplemented
56#19099249C2214yescomplemented
57#19099248C2214yescomplemented
58#19099246C2214yescomplemented
59#19099246C2214yescomplemented
60#19099246C2214yescomplemented
61#19099245C2214yescomplemented
62#19099245C2214yescomplemented
63#19099242C2214yescomplemented
64#19099242C2214yescomplemented
65#19099242C2214yescomplemented
66#19099241C2214yescomplemented
67#19099240C2214yescomplemented
68#19099240C2214yescomplemented
69#19099238C2214yescomplemented
70#19099237C2214yescomplemented
71#19099237C2214yescomplemented
72#19099237C2214yescomplemented
73#19099236C2214yescomplemented
74#19099236C2214yescomplemented
75D4×Dic158C2214yescomplemented
76D4×Dic158C2214yescomplemented
77#19099228C2214yescomplemented
78#19099226C2214yescomplemented
79#19099226C2214yescomplemented
80#19099226C2214yescomplemented
81#19099223C2214yescomplemented
82#19099222C2214yescomplemented
83#19099222C2214yescomplemented
84#19099222C2214yescomplemented
85#19099219C2214yescomplemented
86#19099219C2214yescomplemented
87#19099214C2214yescomplemented
88#19099214C2214yescomplemented
89#19099212C2214yescomplemented
90#19099212C2214yescomplemented
91#19099211C2214yescomplemented
92#19099211C2214yescomplemented
93#19099211C2214yescomplemented
94#19099208C2214yescomplemented
95#19099208C2214yescomplemented
96#19099205C2214yescomplemented
97#19099205C2214yescomplemented
98#19099205C2214yescomplemented
99#19099202C2214yescomplemented
100#19099202C2214yescomplemented
101#19099202C2214yescomplemented
102#19099201C2214yescomplemented
103#19099201C2214yescomplemented
104#19099194C2211yescharacteristic, complemented
105#19099193C2214yescomplemented
106#19099192C2212yescomplemented
107#19099192C2212yescomplemented
108#19099190C2214yescomplemented
109#19099188C2212yes—
110#19099188C2212yes—
111#19099188C2214yescomplemented
112#19099188C2214yescomplemented
113#19099185C2214yescomplemented
114#19099184C2214yescomplemented
115#19099183C2214yescomplemented
116#19099183C2214yescomplemented
117#19099181C2214yescomplemented
118#19099179C2214yescomplemented
119#19099172C2214yescomplemented
120#19099172C2214yescomplemented
121#19099162C2212yescomplemented
122#19099162C2212yescomplemented
123#19099161C2214yescomplemented
124#19099161C2214yescomplemented
125#19099160C2212yescomplemented
126#19099160C2212yescomplemented
127#19099160C2214yescomplemented
128#19099158C2212yescomplemented
129#19099158C2212yescomplemented
130#19099156C2214yescomplemented
131#19099155C2214yescomplemented
132#19099155C2214yescomplemented
133#19099155C2214yescomplemented
134#19099154C2214yescomplemented
135#19099153C2212yescomplemented
136#19099153C2212yescomplemented
137#19099152C2214yescomplemented
138#19099150C2212yescomplemented
139#19099150C2212yescomplemented
140#19099146C2214yescomplemented
141#19099146C2214yescomplemented
142#19099145C2214yescomplemented
143#19099144C2211yescharacteristic, complemented
144#19099143C2214yescomplemented
145#19099140C2212yescomplemented
146#19099140C2212yescomplemented
147#19099140C2214yescomplemented
148#19099139C2212yescomplemented
149#19099138C2214yescomplemented
150#19099135C2214yescomplemented
151#19099135C2214yescomplemented
152#19099135C2214yescomplemented
153#19099134C2212yescomplemented
154#19099121C2212yes—
155#19099121C2212yes—
156#19099119C2214yescomplemented
157#19099117C2214yescomplemented
158#19099096C2214yescomplemented
159#19099091C2214yescomplemented
160#19099076C2212yes—
161#19099076C2212yescomplemented
162#19099075C2212yes—
163#19099074C2212yescomplemented
164#19099074C2212yescomplemented
165#19099074C2212yescomplemented
166#19099073C2212yes—
167#19099073C2212yescomplemented
168#19099072C2214yes—
169#19099072C2214yescomplemented
170#19099072C2214yescomplemented
171#19099071C2214yes—
172#19099071C2214yescomplemented
173#19099070C2212yes—
174#19099069C2214yescomplemented
175#19099069C2214yescomplemented
176#19099069C2214yescomplemented
177#123×D79C2214yescomplemented
178C2×#14579139C2214yes—
179C2×#14579139C2214yescomplemented
180C2×#14579139C2214yescomplemented
181C2×#14579139C2212yescomplemented
182C2×#14579139C2212yescomplemented
183C2×#14579139C2214yescomplemented
184C2×#14579139C2212yescomplemented
185C2×#14579139C2212yescomplemented
186C2×#14579139C2214yescomplemented
187C22⋊Q8×D79C2212yes—
188C22⋊Q8×D79C2212yescomplemented
189C22⋊Q8×D79C2214yescomplemented
190#121×D79C2212yes—
191#121×D79C2212yescomplemented
192#120×D79C2214yes—
193#19099044C2212yescomplemented
194#19099042C2214yescomplemented
195#19099042C2214yescomplemented
196#19099040C2212yescomplemented
197#19099035C2214yes—
198#19099035C2214yes—
199C4×D4×D79C2214yes—
200C4×D4×D79C2214yescomplemented
201#117×D79C2212yescomplemented
202C22×Dic79⋊C4C2211yescharacteristic, complemented
203C22×Dic79⋊C4C2211yescharacteristic, complemented
204C22×(C2×D79)⋊C4C2211yescharacteristic
205C22×(C2×D79)⋊C4C2211yescharacteristic
206#554×C79C2214yescomplemented
207#553×C79C2214yescomplemented
208#552×C79C2214yescomplemented
209#547×C79C2214yescomplemented
210#544×C79C2211yescharacteristic, complemented
211#539×C79C2212yescomplemented
212#539×C79C2212yescomplemented
213#537×C79C2211yescharacteristic, complemented
214#525×C79C2212yescomplemented
215#525×C79C2212yescomplemented
216#525×C79C2212yescomplemented
217#520×C79C2212yescomplemented
218C22×C4⋊C4×C79C2211yescharacteristic, complemented
219C24×D79C2311yescharacteristic
220#14579208—48no—
221C2×#11929625C2312yes—
222C2×#11929624C2312yes—
223C2×#11929624C2312yes—
224C2×#11929624C2312yes—
225C2×#11929624C2314yes—
226C2×#11929624C2314yescomplemented
227C2×#11929623C2314yes—
228C2×#11929623C2312yes—
229C2×#11929623C2314yes—
230C2×#11929623C2314yes—
231C2×#11929623C2314yescomplemented
232#41×D79—48no—
233C22×Dic158—44no—
234C22×Dic158C2312yes—
235C22×Dic158C2312yes—
236C22×Dic158C2312yes—
237C22×Dic158C2314yes—
238C22×Dic158C2312yes—
239C22×Dic158C2314yescomplemented
240C2×Q8×D79C2312yes—
241C2×Q8×D79C2314yescomplemented
242C2×D4×D79C2314yes—
243C2×D4×D79C2314yes—
244C2×D4×D79C2314yes—
245C2×D4×D79C2312yes—
246C23×Dic79C2311yescharacteristic
247C23×Dic79C2311yescharacteristic
248C23×Dic79C2311yescharacteristic
249C22×C4×D79—44no—
250C22×C4×D79C2312yes—
251C22×C4×D79C2312yes—
252C22×C4×D79C2314yes—
253C22×C4×D79C2312yes—
254C22×C4×D79C2312yes—
255C22×C4×D79C2312yes—
256C22×C4×D79C2312yes—
257#14579161C2314yescomplemented
258#14579160C2314yescomplemented
259#14579160C2314yescomplemented
260#14579160C2314yescomplemented
261#14579160C2314yescomplemented
262#14579160C2314yescomplemented
263#14579160C2314yescomplemented
264#14579160C2314yescomplemented
265#14579159C2314yescomplemented
266#14579159C2314yescomplemented
267#14579159C2314yescomplemented
268#14579156C2314yes—
269#14579156C2314yes—
270#14579156C2314yes—
271#14579156C2314yes—
272#14579156C2314yes—
273#14579156C2314yes—
274#14579156C2314yescomplemented
275#14579156C2314yescomplemented
276#14579156C2314yescomplemented
277#14579156C2314yescomplemented
278#14579155C2314yes—
279#14579155C2314yes—
280#14579155C2314yescomplemented
281#14579155C2314yescomplemented
282#14579154C2314yescomplemented
283#14579154C2314yescomplemented
284#14579154C2314yescomplemented
285#14579154C2314yescomplemented
286#14579153C2314yescomplemented
287#14579153C2314yescomplemented
288#14579152C2314yescomplemented
289#14579152C2314yescomplemented
290#14579152C2314yescomplemented
291#14579151C2314yescomplemented
292#14579151C2314yescomplemented
293#14579151C2314yescomplemented
294#14579151C2314yescomplemented
295#14579151C2314yescomplemented
296#14579151C2314yescomplemented
297#14579151C2314yescomplemented
298#14579151C2314yescomplemented
299#14579151C2314yescomplemented
300#14579151C2314yescomplemented
301#14579150C2314yes—
302#14579150C2314yes—
303#14579149C2314yes—
304#14579149C2314yes—
305#14579149C2314yescomplemented
306#14579148C2314yescomplemented
307#14579147C2314yes—
308#14579147C2314yes—
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yescomplemented
312#14579147C2314yescomplemented
313#14579147C2314yescomplemented
314#14579147C2314yescomplemented
315#14579146C2314yes—
316#14579146C2314yes—
317#14579146C2314yes—
318#14579146C2314yes—
319#14579146C2314yes—
320#14579146C2314yes—
321#14579146C2314yes—
322#14579146C2314yes—
323#14579146C2314yescomplemented
324#14579146C2314yescomplemented
325#14579146C2314yescomplemented
326#14579146C2314yescomplemented
327#14579145C2314yes—
328#14579145C2314yes—
329#14579145C2314yes—
330#14579145C2314yes—
331#14579145C2314yes—
332#14579144C2314yes—
333#14579144C2314yes—
334#14579144C2314yes—
335#14579144C2314yes—
336#14579144C2314yes—
337#14579144C2314yescomplemented
338#14579144C2314yescomplemented
339#14579143C2314yes—
340#14579143C2314yes—
341#14579143C2314yes—
342#14579143C2314yes—
343#14579143C2314yescomplemented
344#14579143C2314yescomplemented
345#14579142C2314yes—
346#14579142C2314yes—
347#14579142C2314yes—
348#14579142C2314yescomplemented
349#14579142C2314yescomplemented
350#14579141C2314yes—
351#14579141C2314yes—
352#14579141C2312yes—
353#14579141C2312yes—
354#14579141C2314yescomplemented
355#14579141C2314yescomplemented
356#14579141C2314yescomplemented
357#14579140C2312yes—
358#14579140C2312yes—
359#14579140C2312yes—
360#14579140C2312yes—
361#14579140C2312yes—
362#14579140C2312yes—
363#14579140C2314yescomplemented
364#14579140C2314yescomplemented
365#14579140C2314yescomplemented
366#14579140C2314yescomplemented
367#14579139C2314yes—
368#14579139C2314yes—
369#14579139C2314yes—
370#14579139C2314yes—
371#14579139C2314yes—
372#14579139C2314yes—
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579139C2314yes—
379#14579139C2314yes—
380#14579139C2314yes—
381#14579139C2314yes—
382#14579139C2314yes—
383#14579139C2314yes—
384#14579139C2314yes—
385#14579139C2314yes—
386#14579139C2314yes—
387#14579139C2314yes—
388#14579139C2314yes—
389#14579139C2314yescomplemented
390#14579139C2314yescomplemented
391#14579139C2314yescomplemented
392#14579139C2314yescomplemented
393#14579139C2314yescomplemented
394#14579139C2314yescomplemented
395#14579139C2314yescomplemented
396#14579139C2314yescomplemented
397#14579139C2314yescomplemented
398#14579139C2314yescomplemented
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2314yescomplemented
406#14579138C2314yescomplemented
407#14579138C2314yescomplemented
408#14579138C2314yescomplemented
409#14579138C2314yescomplemented
410#14579138C2314yescomplemented
411#14579138C2314yescomplemented
412#14579138C2314yescomplemented
413#14579137C2314yes—
414#14579137C2314yes—
415#14579137C2312yes—
416#14579137C2312yes—
417#14579137C2314yescomplemented
418#14579137C2314yescomplemented
419#14579136C2314yes—
420#14579136C2314yes—
421#14579136C2312yes—
422#14579136C2312yes—
423#14579136C2314yescomplemented
424#14579135C2312yes—
425#14579135C2314yes—
426#14579135C2312yes—
427#14579135C2314yes—
428#14579135C2312yes—
429#14579135C2312yes—
430#14579135C2312yes—
431#14579135C2312yes—
432#14579134C2314yes—
433#14579134C2314yes—
434#14579134C2314yes—
435#14579134C2314yes—
436#14579134C2314yescomplemented
437#14579134C2314yescomplemented
438#14579133C2314yes—
439#14579133C2314yes—
440#14579133C2314yes—
441#14579133C2314yes—
442#14579133C2314yes—
443#14579133C2314yes—
444#14579133C2314yes—
445#14579133C2314yes—
446#14579133C2314yescomplemented
447#14579133C2314yescomplemented
448#14579132C2312yes—
449#14579132C2312yes—
450#14579131C2314yes—
451#14579131C2314yes—
452#14579131C2314yes—
453#14579131C2314yes—
454#14579131C2314yes—
455#14579130C2314yes—
456#14579129C2314yes—
457#14579129C2314yes—
458#14579129C2314yes—
459#14579129C2314yes—
460#14579129C2314yes—
461C4×Dic158C2314yescomplemented
462C4×Dic158C2314yescomplemented
463C4×Dic158C2314yescomplemented
464C4×Dic158C2314yescomplemented
465#14579126C2314yescomplemented
466#14579126C2314yescomplemented
467#14579126C2314yescomplemented
468#14579126C2314yescomplemented
469#14579126C2314yescomplemented
470C4×D316C2314yes—
471C4×D316C2314yes—
472C4×D316C2314yes—
473C4×D316C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476D4×Dic79C2314yes—
477D4×Dic79C2314yes—
478D4×Dic79C2314yes—
479D4×Dic79C2314yes—
480#14579123C2314yes—
481#14579123C2314yes—
482#14579123C2314yes—
483#14579123C2314yes—
484#14579123C2314yescomplemented
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2314yescomplemented
496C4×C22⋊D79C2314yescomplemented
497(C22⋊D79)⋊C4C2314yes—
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)⋊C4C2314yes—
507(C22⋊D79)⋊C4C2314yescomplemented
508(C22⋊D79)⋊C4C2314yescomplemented
509#14579120C2312yes—
510#14579120C2312yes—
511#14579120C2312yes—
512#14579119C2312yes—
513#14579119C2312yes—
514#14579119C2314yes—
515#14579119C2314yes—
516#14579119C2314yescomplemented
517#14579118C2314yes—
518#14579118C2314yes—
519#14579118C2314yes—
520#14579118C2314yescomplemented
521#14579118C2314yescomplemented
522#14579117C2314yes—
523#14579117C2314yes—
524#14579117C2314yes—
525#14579117C2314yescomplemented
526#14579117C2314yescomplemented
527C2×Dic79⋊C4C2312yes—
528C2×Dic79⋊C4C2312yes—
529C2×Dic79⋊C4C2312yes—
530C2×Dic79⋊C4C2312yes—
531C2×Dic79⋊C4C2312yes—
532C2×Dic79⋊C4C2314yes—
533C2×Dic79⋊C4C2312yes—
534C2×Dic79⋊C4C2314yes—
535C2×Dic79⋊C4C2314yes—
536C2×Dic79⋊C4C2314yescomplemented
537C2×Dic79⋊C4C2314yescomplemented
538C4⋊C4×D79C2314yes—
539C4⋊C4×D79C2312yes—
540C4⋊C4×D79C2312yes—
541C4⋊C4×D79C2314yes—
542C4⋊C4×D79C2314yescomplemented
543C4⋊C4×D79C2314yescomplemented
544C4⋊C4×D79C2314yescomplemented
545C2×(C2×D79)⋊C4C2312yes—
546C2×(C2×D79)⋊C4C2312yes—
547C2×(C2×D79)⋊C4C2312yes—
548C2×(C2×D79)⋊C4C2312yes—
549C2×(C2×D79)⋊C4C2314yes—
550C2×(C2×D79)⋊C4C2314yes—
551C2×(C2×D79)⋊C4C2312yes—
552C2×(C2×D79)⋊C4C2314yes—
553C2×(C2×D79)⋊C4C2312yes—
554C2×(C2×D79)⋊C4C2314yes—
555C2×(C2×D79)⋊C4C2312yes—
556C2×(C2×D79)⋊C4C2312yes—
557C22⋊C4×D79C2314yes—
558C22⋊C4×D79C2314yes—
559C22⋊C4×D79C2314yes—
560C22⋊C4×D79C2314yes—
561C22⋊C4×D79C2314yes—
562C22⋊C4×D79C2314yes—
563C22⋊C4×D79C2314yes—
564C42×D79C2314yes—
565C2×#41×C79C2312yes—
566C2×#41×C79C2312yes—
567C2×#41×C79C2312yes—
568C23×C4×C79C2311yescharacteristic
569C23×C4×C79C2311yescharacteristic
570C23×C4×C79C2311yescharacteristic
571C4⋊Q8×C79C2314yescomplemented
572#126×C79C2314yescomplemented
573#126×C79C2314yescomplemented
574#125×C79C2314yescomplemented
575#125×C79C2314yescomplemented
576#125×C79C2314yescomplemented
577#123×C79C2314yes—
578#123×C79C2314yes—
579#123×C79C2314yes—
580#123×C79C2314yescomplemented
581#123×C79C2314yescomplemented
582C22⋊Q8×C79C2312yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2312yes—
585C22⋊Q8×C79C2312yes—
586C22⋊Q8×C79C2312yes—
587C22⋊Q8×C79C2312yes—
588C22⋊Q8×C79C2314yescomplemented
589C22⋊Q8×C79C2314yescomplemented
590C22⋊Q8×C79C2314yescomplemented
591#121×C79C2312yes—
592#121×C79C2312yes—
593#121×C79C2312yes—
594#121×C79C2312yes—
595#121×C79C2312yes—
596#121×C79C2312yes—
597#121×C79C2314yescomplemented
598#120×C79C2314yes—
599C4×Q8×C79C2314yescomplemented
600C4×D4×C79C2314yes—
601C4×D4×C79C2314yes—
602C4×D4×C79C2314yes—
603C4×D4×C79C2314yes—
604C4×D4×C79C2314yes—
605C4×D4×C79C2314yes—
606C4×D4×C79C2314yescomplemented
607#117×C79C2312yes—
608#117×C79C2312yes—
609#117×C79C2312yes—
610#117×C79C2314yescomplemented
611C2×C4⋊C4×C79C2311yescharacteristic
612C2×C4⋊C4×C79C2311yescharacteristic
613C2×C4⋊C4×C79C2311yescharacteristic
614C2×C4⋊C4×C79C2314yes—
615C2×C4⋊C4×C79C2311yescharacteristic
616C2×C4⋊C4×C79C2314yes—
617C2×C4⋊C4×C79C2314yescomplemented
618C23×D79—24no—
619C23×D79—42no—
620C23×D79—42no—
621C23×D79C2412yes—
622C23×D79C2412yes—
623C23×D79C2411yescharacteristic
624C23×D79C2414yes—
625C23×D79C2411yescharacteristic
626#11929625—44no—
627#11929624—44no—
628#11929624—44no—
629#11929624—44no—
630#11929624—48no—
631#11929624—48no—
632#11929623—216no—
633#11929623—48no—
634#11929623—48no—
635#11929623—48no—
636#11929623—44no—
637C2×Dic158—28no—
638C2×Dic158—44no—
639C2×Dic158—44no—
640C2×Dic158—48no—
641C2×Dic158—44no—
642C2×Dic158—48no—
643C2×Dic158C2414yes—
644C2×Dic158C2414yes—
645C2×Dic158C2414yes—
646C2×Dic158C2412yes—
647C2×Dic158C2414yes—
648C2×Dic158C2414yes—
649C2×Dic158C2414yes—
650C2×Dic158C2412yes—
651C2×Dic158C2414yes—
652C2×Dic158C2412yes—
653Q8×D79—44no—
654Q8×D79—48no—
655C2×D316C2414yes—
656C2×D316C2412yes—
657C2×D316C2414yes—
658C2×D316C2412yes—
659C2×D316C2412yes—
660C2×D316C2414yes—
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—
670D4×D79—216no—
671D4×D79—44no—
672D4×D79—48no—
673D4×D79—48no—
674C22×Dic79—24no—
675C22×Dic79—42no—
676C22×Dic79—42no—
677C22×Dic79C2412yes—
678C22×Dic79C2412yes—
679C22×Dic79C2412yes—
680C22×Dic79C2411yescharacteristic
681C22×Dic79C2414yes—
682C22×Dic79C2412yes—
683C22×Dic79C2412yes—
684C22×Dic79C2412yes—
685C22×Dic79C2414yes—
686C22×Dic79C2414yes—
687C22×Dic79C2412yes—
688C22×Dic79C2412yes—
689C22×Dic79C2411yescharacteristic
690C2×C4×D79—28no—
691C2×C4×D79—44no—
692C2×C4×D79—48no—
693C2×C4×D79—44no—
694C2×C4×D79—44no—
695C2×C4×D79—44no—
696C2×C4×D79—44no—
697C2×C4×D79C2412yes—
698C2×C4×D79C2414yes—
699C2×C4×D79C2412yes—
700C2×C4×D79C2412yes—
701C2×C4×D79C2412yes—
702C2×C4×D79C2414yes—
703C2×C4×D79C2414yes—
704C2×C4×D79C2414yes—
705C2×C4×D79C2414yes—
706C2×C4×D79C2414yes—
707C2×C4×D79C2414yes—
708C2×C4×D79C2414yes—
709C2×C4×D79C2414yes—
710C2×C4×D79C2412yes—
711C2×C4×D79C2412yes—
712C2×C4×D79C2412yes—
713C2×C4×D79C2412yes—
714C4⋊Dic79C2412yes—
715C4⋊Dic79C2412yes—
716C4⋊Dic79C2414yes—
717C4⋊Dic79C2414yes—
718C4⋊Dic79C2412yes—
719C4⋊Dic79C2414yes—
720C4⋊Dic79C2414yes—
721C4⋊Dic79C2414yes—
722C4⋊Dic79C2414yes—
723C4⋊Dic79C2412yes—
724C4⋊Dic79C2412yes—
725C4⋊Dic79C2412yes—
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—
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—
752C22⋊Dic79C2414yes—
753C22⋊Dic79C2414yes—
754C22⋊Dic79C2414yes—
755C22⋊Dic79C2414yes—
756C22⋊Dic79C2414yes—
757C22⋊Dic79C2414yes—
758C22⋊Dic79C2414yes—
759C22⋊Dic79C2414yes—
760C22⋊Dic79C2414yes—
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—
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—
787C4×Dic79C2414yes—
788C4×Dic79C2414yes—
789C4×Dic79C2414yes—
790C4×Dic79C2414yes—
791C4×Dic79C2414yes—
792C4×Dic79C2414yes—
793C4×Dic79C2414yes—
794C4×Dic79C2414yes—
795C4×Dic79C2414yes—
796C24×C79C2411yescharacteristic
797#41×C79—44no—
798#41×C79—44no—
799#41×C79—44no—
800C2×Q8×C79C2412yes—
801C2×Q8×C79C2412yes—
802C2×Q8×C79C2412yes—
803C2×D4×C79C2414yes—
804C2×D4×C79C2414yes—
805C2×D4×C79C2414yes—
806C2×D4×C79C2412yes—
807C2×D4×C79C2412yes—
808C2×D4×C79C2412yes—
809C22×C4×C79—42no—
810C22×C4×C79—42no—
811C22×C4×C79—42no—
812C22×C4×C79C2412yes—
813C22×C4×C79C2411yescharacteristic
814C22×C4×C79C2412yes—
815C22×C4×C79C2411yescharacteristic
816C22×C4×C79C2411yescharacteristic
817C22×C4×C79C2412yes—
818C22×C4×C79C2411yescharacteristic
819C22×C4×C79C2414yes—
820C22×C4×C79C2414yes—
821C22×C4×C79C2411yescharacteristic
822C22×C4×C79C2412yes—
823C22×C4×C79C2412yes—
824C22×C4×C79C2412yes—
825C22×C4×C79C2411yescharacteristic
826C22×C4×C79C2414yes—
827C4⋊C4×C79C2414yes—
828C4⋊C4×C79C2414yes—
829C4⋊C4×C79C2414yes—
830C4⋊C4×C79C2414yes—
831C4⋊C4×C79C2412yes—
832C4⋊C4×C79C2414yes—
833C4⋊C4×C79C2414yes—
834C4⋊C4×C79C2412yes—
835C4⋊C4×C79C2412yes—
836C4⋊C4×C79C2412yes—
837C4⋊C4×C79C2412yes—
838C4⋊C4×C79C2412yes—
839C4⋊C4×C79C2414yes—
840C4⋊C4×C79C2414yes—
841C4⋊C4×C79C2414yes—
842C4⋊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—
852C42×C79C2414yes—
853C42×C79C2414yes—
854C42×C79C2414yes—
855C23×C79—22no—
856C23×C79—22no—
857C23×C79—22no—
858C23×C79C2514yes—
859C23×C79C2511yescharacteristic
860C23×C79C2511yescharacteristic
861C23×C79C2511yescharacteristic
862C22×D79—24no—
863C22×D79—22no—
864C22×D79—24no—
865C22×D79—24no—
866C22×D79—24no—
867C22×D79—28no—
868C22×D79—41no—
869C22×D79—42no—
870C22×D79—41no—
871C22×D79—41no—
872C22×D79—42no—
873C22×D79—41no—
874C22×D79—44no—
875C22×D79—44no—
876C22×D79—416no—
877C22×D792−1+414yescomplemented
878C22×D79C2512yes—
879C22×D79C2514yes—
880C22×D79C2512yes—
881Q8×C79—42no—
882Q8×C79—42no—
883Q8×C79—42no—
884D4×C79—28no—
885D4×C79—28no—
886D4×C79—28no—
887D4×C79—42no—
888D4×C79—42no—
889D4×C79—42no—
890C2×C4×C79—24no—
891C2×C4×C79—24no—
892C2×C4×C79—22no—
893C2×C4×C79—22no—
894C2×C4×C79—41no—
895C2×C4×C79—42no—
896C2×C4×C79—41no—
897C2×C4×C79—44no—
898C2×C4×C79—41no—
899C2×C4×C79—42no—
900C2×C4×C79—41no—
901C2×C4×C79—44no—
902C2×C4×C79—42no—
903C2×C4×C79—42no—
904C2×C4×C79—44no—
905C2×C4×C79C2514yes—
906C2×C4×C79C2512yes—
907C2×C4×C79C2514yes—
908C2×C4×C79C2512yes—
909C2×C4×C79C2512yes—
910C2×C4×C79C2514yes—
911C2×C4×C79C2512yes—
912C2×C4×C79C2512yes—
913C2×C4×C79C2512yes—
914C22⋊D79—28no—
915C22⋊D79—28no—
916C22⋊D79—28no—
917C22⋊D79—28no—
918C22⋊D79—28no—
919C22⋊D79—44no—
920C22⋊D79—44no—
921C22⋊D79—44no—
922C22⋊D79—44no—
923C2×Dic79—22no—
924C2×Dic79—24no—
925C2×Dic79—24no—
926C2×Dic79—24no—
927C2×Dic79—24no—
928C2×Dic79—28no—
929C2×Dic79—42no—
930C2×Dic79—42no—
931C2×Dic79—42no—
932C2×Dic79—42no—
933C2×Dic79—44no—
934C2×Dic79—44no—
935C2×Dic79H(5,𝔽2)14yes—
936C2×Dic79C2514yes—
937C2×Dic79C2514yes—
938C2×Dic79C2514yes—
939C2×Dic79C2514yes—
940C2×Dic79C2514yes—
941C2×Dic79C2512yes—
942C2×Dic79C2512yes—
943D316—28no—
944D316—44no—
945D316—42no—
946D316—44no—
947D316—42no—
948D316—42no—
949C4×D79—28no—
950C4×D79—24no—
951C4×D79—24no—
952C4×D79—24no—
953C4×D79—24no—
954C4×D79—28no—
955C4×D79—42no—
956C4×D79—42no—
957C4×D79—42no—
958C4×D79—42no—
959C4×D79—44no—
960C4×D79—44no—
961C4×D79—44no—
962C4×D79—44no—
963C4×D79—44no—
964C4×D79—44no—
965C4×D79—44no—
966Dic158—28no—
967Dic158—28no—
968Dic158—28no—
969Dic158—44no—
970Dic158—42no—
971Dic158—44no—
972Dic158—44no—
973Dic158—42no—
974Dic158—44no—
975Dic158—42no—
976C22×C79—28no—
977C22×C79—21no—
978C22×C79—21no—
979C22×C79—21no—
980C22×C79—21no—
981C22×C79—21no—
982C22×C79—21no—
983C22×C79—24no—
984C22×C79—24no—
985C22×C79—24no—
986C22×C79C2×H(5,𝔽2)12yes—
987C22×C79C2×2−1+412yes—
988C22×C79#58512yes—
989C22×C79C2611yescharacteristic
990C2×D79—22no—
991C2×D79—22no—
992C2×D79—24no—
993C2×D79—22no—
994C2×D79—24no—
995C2×D79—22no—
996C2×D79—24no—
997C2×D79—22no—
998C2×D79—44no—
999C2×D79—48no—
1000C2×D79—48no—
1001C2×D79—44no—
1002C2×D79—88no—
1003C2×D79C2×2−1+414yes—
1004C4×C79—22no—
1005C4×C79—22no—
1006C4×C79—22no—
1007C4×C79—22no—
1008C4×C79—24no—
1009C4×C79—24no—
1010C4×C79—22no—
1011C4×C79—22no—
1012C4×C79—24no—
1013Dic79—24no—
1014Dic79—24no—
1015Dic79—22no—
1016Dic79—24no—
1017Dic79—24no—
1018Dic79—24no—
1019Dic79C2×H(5,𝔽2)14yes—
1020#62819—791nomaximal, Sylow
1021C2×C79—22no—
1022C2×C79—22no—
1023C2×C79—22no—
1024C2×C79—44no—
1025C2×C79C22×H(5,𝔽2)11yescharacteristic
1026C2×C79C22×2−1+411yescharacteristic
1027C2×C79C2×#58511yescharacteristic
1028D79—24no—
1029D79—42no—
1030D79—44no—
1031#3541—794no—
1032#3541—794no—
1033#3538—792no—
1034#3538—792no—
1035#3536—792no—
1036#3536—792no—
1037#3535—794no—
1038#3535—794no—
1039#3520—794no—
1040#3520—794no—
1041#3505—794no—
1042#3501—794no—
1043#3495—794no—
1044#3492—792no—
1045#3492—792no—
1046#3492—791no—
1047#3492D7911yescharacteristic, complemented
1048#3490—792no—
1049#3490—792no—
1050#3489—794no—
1051#3486—792no—
1052C2×#525—792no—
1053C22×C22⋊Q8—791no—
1054C79#6281911yescharacteristic, complemented, Sylow
1055C2×2−1+4—792no—
1056C22×#41—792no—
1057C23×Q8—791no—
1058C24×C4—791no—
1059#563—794no—
1060#563—794no—
1061#563—794no—
1062#563—794no—
1063#562—794no—
1064#562—794no—
1065#562—794no—
1066#562—794no—
1067#556—794no—
1068#556—794no—
1069#554—794no—
1070#554—794no—
1071#554—794no—
1072#554—794no—
1073#554—794no—
1074#554—794no—
1075#554—794no—
1076#554—794no—
1077#554—794no—
1078#554—794no—
1079#554—794no—
1080#554C2×D7914yescomplemented
1081#553—794no—
1082#553—794no—
1083#553—794no—
1084#553—794no—
1085#553—794no—
1086#553C2×D7914yescomplemented
1087#552—794no—
1088#552—794no—
1089#552—794no—
1090#552—794no—
1091#552—794no—
1092#552—794no—
1093#552—794no—
1094#552—794no—
1095#552—794no—
1096#552C2×D7914yescomplemented
1097#551—794no—
1098#551—794no—
1099#551—794no—
1100#551—794no—
1101#551—794no—
1102#551—794no—
1103#551—794no—
1104#551—794no—
1105#551—794no—
1106#551—794no—
1107#551—794no—
1108#551—794no—
1109D4×Q8—794no—
1110D4×Q8—794no—
1111D4×Q8—794no—
1112D4×Q8—794no—
1113D4×Q8—794no—
1114D4×Q8—794no—
1115#548—794no—
1116#548—794no—
1117#548—794no—
1118#548—794no—
1119#548—794no—
1120#548—794no—
1121#547—794no—
1122#547—794no—
1123#547—794no—
1124#547—794no—
1125#547—794no—
1126#547—794no—
1127#547—794no—
1128#547C2×D7914yescomplemented
1129#546—794no—
1130#546—794no—
1131#546—794no—
1132#546—794no—
1133#546—794no—
1134#546—794no—
1135#546—794no—
1136#546—794no—
1137#546—794no—
1138#546—794no—
1139#544—794no—
1140#544—794no—
1141#544—792no—
1142#544—792no—
1143#544—791no—
1144#544C2×D7911yescharacteristic, complemented
1145#543—792no—
1146#543—792no—
1147#543—794no—
1148#543—794no—
1149#542—794no—
1150#542—794no—
1151#542—794no—
1152#542—794no—
1153#542—794no—
1154#542—794no—
1155#541—794no—
1156#541—794no—
1157#539—794no—
1158#539—794no—
1159#539—794no—
1160#539—794no—
1161#539—792no—
1162#539—792no—
1163#539—792no—
1164#539—792no—
1165#539—794no—
1166#539—794no—
1167#539—794no—
1168#539—792no—
1169#539—792no—
1170#539—794no—
1171#539C2×D7912yescomplemented
1172#539C2×D7912yescomplemented
1173#538—794no—
1174#538—792no—
1175#538—792no—
1176#538—792no—
1177#538—792no—
1178#538—794no—
1179#538—794no—
1180#538—794no—
1181#537—794no—
1182#537—792no—
1183#537—792no—
1184#537—794no—
1185#537—791no—
1186#537C2×D7911yescharacteristic, complemented
1187#536—792no—
1188#536—794no—
1189#536—794no—
1190#536—794no—
1191#536—794no—
1192#536—792no—
1193#534—792no—
1194#534—792no—
1195#533—794no—
1196#533—794no—
1197#529—794no—
1198#529—794no—
1199#525—792no—
1200#525—792no—
1201#525—792no—
1202#525—792no—
1203#525—794no—
1204#525—794no—
1205#525—792no—
1206#525—792no—
1207#525—792no—
1208#525—792no—
1209#525—794no—
1210#525—794no—
1211#525—794no—
1212#525—794no—
1213#525—794no—
1214#525—794no—
1215#525—792no—
1216#525C2×D7912yescomplemented
1217#525C2×D7912yescomplemented
1218#525C2×D7912yescomplemented
1219C2×#123—794no—
1220C2×C22⋊Q8—792no—
1221C2×C22⋊Q8—792no—
1222C2×C22⋊Q8—794no—
1223C2×C22⋊Q8—794no—
1224C2×C22⋊Q8—794no—
1225C2×C22⋊Q8—792no—
1226C2×C22⋊Q8—792no—
1227C2×C22⋊Q8—794no—
1228C2×C22⋊Q8—792no—
1229C2×C22⋊Q8—792no—
1230C2×C22⋊Q8—794no—
1231C2×C22⋊Q8—794no—
1232C2×#121—792no—
1233C2×#121—792no—
1234C2×#120—794no—
1235#520—794no—
1236#520—794no—
1237#520—792no—
1238#520C2×D7912yescomplemented
1239#519—792no—
1240#518—794no—
1241#518—794no—
1242C2×C4×D4—794no—
1243C2×C4×D4—794no—
1244C2×#117—792no—
1245C22×C4⋊C4—791no—
1246C22×C4⋊C4—791no—
1247C22×C4⋊C4C2×D7911yescharacteristic, complemented
1248C22×C22⋊C4—791no—
1249C22×C22⋊C4—791no—
1250C25—791no—
12512−1+4—3168no—
1252C2×#41—3168no—
1253C2×#41—792no—
1254C2×#41—794no—
1255C2×#41—792no—
1256C2×#41—794no—
1257C2×#41—794no—
1258C2×#41—794no—
1259C2×#41—792no—
1260C2×#41—792no—
1261C2×#41—794no—
1262C2×#41—792no—
1263C2×#41—794no—
1264C2×#41C22×D7912yes—
1265C2×#41C22×D7912yes—
1266C2×#41C22×D7912yes—
1267C22×Q8—3164no—
1268C22×Q8—792no—
1269C22×Q8—794no—
1270C22×Q8—792no—
1271C22×Q8—792no—
1272C22×Q8—794no—
1273C22×Q8—792no—
1274C22×Q8—794no—
1275C22×Q8—792no—
1276C22×D4—794no—
1277C22×D4—794no—
1278C22×D4—792no—
1279C22×D4—794no—
1280C23×C4—3164no—
1281C23×C4—791no—
1282C23×C4—791no—
1283C23×C4—792no—
1284C23×C4—792no—
1285C23×C4—794no—
1286C23×C4—792no—
1287C23×C4—792no—
1288C23×C4—792no—
1289C23×C4—791no—
1290C23×C4—792no—
1291C23×C4C22×D7911yescharacteristic
1292C23×C4C22×D7911yescharacteristic
1293C23×C4C22×D7911yescharacteristic
1294C4⋊Q8—794no—
1295C4⋊Q8—794no—
1296C4⋊Q8—794no—
1297C4⋊Q8—794no—
1298C4⋊Q8—794no—
1299C4⋊Q8—794no—
1300C4⋊Q8—794no—
1301C4⋊Q8—794no—
1302C4⋊Q8—794no—
1303C4⋊Q8—794no—
1304C4⋊Q8—794no—
1305C4⋊Q8C22×D7914yescomplemented
1306#126—794no—
1307#126—794no—
1308#126—794no—
1309#126—794no—
1310#126—794no—
1311#126—794no—
1312#126—794no—
1313#126—794no—
1314#126—794no—
1315#126—794no—
1316#126—794no—
1317#126—794no—
1318#126—794no—
1319#126—794no—
1320#126—794no—
1321#126—794no—
1322#126—794no—
1323#126—794no—
1324#126C22×D7914yescomplemented
1325#126C22×D7914yescomplemented
1326#125—794no—
1327#125—794no—
1328#125—794no—
1329#125—794no—
1330#125—794no—
1331#125—794no—
1332#125—794no—
1333#125—794no—
1334#125—794no—
1335#125—794no—
1336#125—794no—
1337#125—794no—
1338#125—794no—
1339#125—794no—
1340#125—794no—
1341#125C22×D7914yescomplemented
1342#125C22×D7914yescomplemented
1343#125C22×D7914yescomplemented
1344#124—794no—
1345#124—794no—
1346#124—794no—
1347#124—794no—
1348#124—794no—
1349#124—794no—
1350#124—794no—
1351#124—794no—
1352#124—794no—
1353#124—794no—
1354#124—794no—
1355#124—794no—
1356#124—794no—
1357#124—794no—
1358#123—794no—
1359#123—794no—
1360#123—794no—
1361#123—794no—
1362#123—794no—
1363#123—794no—
1364#123—794no—
1365#123—794no—
1366#123—794no—
1367#123—794no—
1368#123—794no—
1369#123—794no—
1370#123—794no—
1371#123—794no—
1372#123—794no—
1373#123—794no—
1374#123—794no—
1375#123—794no—
1376#123—794no—
1377#123—794no—
1378#123—794no—
1379#123—794no—
1380#123—794no—
1381#123—794no—
1382#123—794no—
1383#123—794no—
1384#123—794no—
1385#123—794no—
1386#123—794no—
1387#123—794no—
1388#123—794no—
1389#123—794no—
1390#123—794no—
1391#123—794no—
1392#123—794no—
1393#123C22×D7914yes—
1394#123C22×D7914yes—
1395#123C22×D7914yes—
1396#123C22×D7914yescomplemented
1397#123C22×D7914yescomplemented
1398C22⋊Q8—792no—
1399C22⋊Q8—792no—
1400C22⋊Q8—794no—
1401C22⋊Q8—794no—
1402C22⋊Q8—794no—
1403C22⋊Q8—794no—
1404C22⋊Q8—792no—
1405C22⋊Q8—792no—
1406C22⋊Q8—794no—
1407C22⋊Q8—792no—
1408C22⋊Q8—792no—
1409C22⋊Q8—792no—
1410C22⋊Q8—792no—
1411C22⋊Q8—794no—
1412C22⋊Q8—794no—
1413C22⋊Q8—794no—
1414C22⋊Q8—794no—
1415C22⋊Q8—794no—
1416C22⋊Q8—794no—
1417C22⋊Q8—794no—
1418C22⋊Q8—794no—
1419C22⋊Q8—794no—
1420C22⋊Q8—794no—
1421C22⋊Q8—794no—
1422C22⋊Q8—794no—
1423C22⋊Q8—794no—
1424C22⋊Q8—794no—
1425C22⋊Q8—794no—
1426C22⋊Q8—794no—
1427C22⋊Q8—794no—
1428C22⋊Q8—794no—
1429C22⋊Q8—794no—
1430C22⋊Q8—794no—
1431C22⋊Q8—794no—
1432C22⋊Q8—792no—
1433C22⋊Q8—792no—
1434C22⋊Q8—794no—
1435C22⋊Q8—794no—
1436C22⋊Q8—794no—
1437C22⋊Q8—794no—
1438C22⋊Q8—794no—
1439C22⋊Q8—794no—
1440C22⋊Q8—794no—
1441C22⋊Q8—794no—
1442C22⋊Q8—794no—
1443C22⋊Q8—794no—
1444C22⋊Q8—794no—
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⋊Q8C22×D7912yes—
1468C22⋊Q8C22×D7912yes—
1469C22⋊Q8C22×D7912yes—
1470C22⋊Q8C22×D7912yes—
1471C22⋊Q8C22×D7912yes—
1472C22⋊Q8C22×D7912yes—
1473C22⋊Q8C22×D7914yescomplemented
1474C22⋊Q8C22×D7914yescomplemented
1475C22⋊Q8C22×D7914yescomplemented
1476#121—792no—
1477#121—794no—
1478#121—794no—
1479#121—792no—
1480#121—794no—
1481#121—794no—
1482#121—794no—
1483#121—794no—
1484#121—794no—
1485#121—794no—
1486#121—794no—
1487#121—794no—
1488#121—792no—
1489#121—792no—
1490#121—792no—
1491#121—792no—
1492#121—792no—
1493#121—792no—
1494#121—794no—
1495#121—794no—
1496#121—792no—
1497#121—792no—
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#121C22×D7912yes—
1508#121C22×D7912yes—
1509#121C22×D7912yes—
1510#121C22×D7912yes—
1511#121C22×D7912yes—
1512#121C22×D7912yes—
1513#121C22×D7914yescomplemented
1514#120—794no—
1515#120—794no—
1516#120—794no—
1517#120—794no—
1518#120—794no—
1519#120—794no—
1520#120—794no—
1521#120—794no—
1522#120—794no—
1523#120—794no—
1524#120—794no—
1525#120C22×D7914yes—
1526C4×Q8—794no—
1527C4×Q8—794no—
1528C4×Q8—794no—
1529C4×Q8—794no—
1530C4×Q8—794no—
1531C4×Q8—794no—
1532C4×Q8—794no—
1533C4×Q8—794no—
1534C4×Q8—794no—
1535C4×Q8C22×D7914yescomplemented
1536C4×D4—794no—
1537C4×D4—794no—
1538C4×D4—794no—
1539C4×D4—794no—
1540C4×D4—794no—
1541C4×D4—794no—
1542C4×D4—794no—
1543C4×D4—794no—
1544C4×D4—794no—
1545C4×D4—794no—
1546C4×D4—794no—
1547C4×D4—794no—
1548C4×D4—794no—
1549C4×D4—794no—
1550C4×D4—794no—
1551C4×D4—794no—
1552C4×D4—794no—
1553C4×D4—794no—
1554C4×D4—794no—
1555C4×D4—794no—
1556C4×D4—794no—
1557C4×D4—794no—
1558C4×D4—794no—
1559C4×D4—794no—
1560C4×D4—794no—
1561C4×D4—794no—
1562C4×D4—794no—
1563C4×D4—794no—
1564C4×D4—794no—
1565C4×D4—794no—
1566C4×D4—794no—
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×D4C22×D7914yes—
1576C4×D4C22×D7914yes—
1577C4×D4C22×D7914yes—
1578C4×D4C22×D7914yes—
1579C4×D4C22×D7914yes—
1580C4×D4C22×D7914yes—
1581C4×D4C22×D7914yescomplemented
1582#117—792no—
1583#117—792no—
1584#117—792no—
1585#117—792no—
1586#117—792no—
1587#117—794no—
1588#117—794no—
1589#117—794no—
1590#117—794no—
1591#117—794no—
1592#117—794no—
1593#117—794no—
1594#117—794no—
1595#117—794no—
1596#117—794no—
1597#117—794no—
1598#117—794no—
1599#117—794no—
1600#117C22×D7912yes—
1601#117C22×D7912yes—
1602#117C22×D7912yes—
1603#117C22×D7914yescomplemented
1604C2×C4⋊C4—792no—
1605C2×C4⋊C4—792no—
1606C2×C4⋊C4—792no—
1607C2×C4⋊C4—792no—
1608C2×C4⋊C4—792no—
1609C2×C4⋊C4—792no—
1610C2×C4⋊C4—794no—
1611C2×C4⋊C4—794no—
1612C2×C4⋊C4—794no—
1613C2×C4⋊C4—794no—
1614C2×C4⋊C4—794no—
1615C2×C4⋊C4—792no—
1616C2×C4⋊C4—792no—
1617C2×C4⋊C4—794no—
1618C2×C4⋊C4—794no—
1619C2×C4⋊C4—794no—
1620C2×C4⋊C4—794no—
1621C2×C4⋊C4—794no—
1622C2×C4⋊C4C22×D7911yescharacteristic
1623C2×C4⋊C4C22×D7911yescharacteristic
1624C2×C4⋊C4C22×D7911yescharacteristic
1625C2×C4⋊C4C22×D7911yescharacteristic
1626C2×C4⋊C4C22×D7914yes—
1627C2×C4⋊C4C22×D7914yes—
1628C2×C4⋊C4C22×D7914yescomplemented
1629C2×C22⋊C4—792no—
1630C2×C22⋊C4—792no—
1631C2×C22⋊C4—792no—
1632C2×C22⋊C4—792no—
1633C2×C22⋊C4—794no—
1634C2×C22⋊C4—792no—
1635C2×C22⋊C4—792no—
1636C2×C22⋊C4—792no—
1637C2×C22⋊C4—792no—
1638C2×C22⋊C4—794no—
1639C2×C22⋊C4—794no—
1640C2×C22⋊C4—794no—
1641C2×C22⋊C4—794no—
1642C2×C22⋊C4—794no—
1643C2×C22⋊C4—794no—
1644C2×C22⋊C4—794no—
1645C2×C22⋊C4—794no—
1646C2×C22⋊C4—794no—
1647C2×C22⋊C4—794no—
1648C2×C42—794no—
1649C24—3162no—
1650C24—3162no—
1651C24—791no—
1652C24—794no—
1653C24—791no—
1654C24—792no—
1655C24—792no—
1656C24—1584no—
1657C24C23×D7911yescharacteristic
1658#41—44no—
1659#41—44no—
1660#41—44no—
1661#41—3164no—
1662#41—3164no—
1663#41—3164no—
1664#41—3168no—
1665#41—3168no—
1666#41—3168no—
1667#41—3168no—
1668#41—3168no—
1669#41—3164no—
1670#41—3164no—
1671#41—15816no—
1672C2×Q8—3164no—
1673C2×Q8—3164no—
1674C2×Q8—3168no—
1675C2×Q8—3164no—
1676C2×Q8—3168no—
1677C2×Q8—3164no—
1678C2×Q8—3168no—
1679C2×Q8—792no—
1680C2×Q8—794no—
1681C2×Q8—794no—
1682C2×Q8—794no—
1683C2×Q8—792no—
1684C2×Q8—794no—
1685C2×Q8—792no—
1686C2×Q8—794no—
1687C2×Q8—794no—
1688C2×Q8—794no—
1689C2×Q8—1588no—
1690C2×Q8C23×D7912yes—
1691C2×Q8C23×D7912yes—
1692C2×Q8C23×D7912yes—
1693C2×D4—3168no—
1694C2×D4—3168no—
1695C2×D4—3164no—
1696C2×D4—794no—
1697C2×D4—794no—
1698C2×D4—794no—
1699C2×D4—794no—
1700C2×D4—794no—
1701C2×D4—794no—
1702C2×D4—794no—
1703C2×D4—794no—
1704C2×D4—794no—
1705C2×D4—792no—
1706C2×D4—794no—
1707C2×D4—792no—
1708C2×D4—794no—
1709C2×D4—792no—
1710C2×D4—794no—
1711C2×D4—15816no—
1712C2×D4C23×D7914yes—
1713C2×D4C23×D7914yes—
1714C2×D4C23×D7914yes—
1715C2×D4C23×D7912yes—
1716C2×D4C23×D7912yes—
1717C2×D4C23×D7912yes—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—3164no—
1722C22×C4—3164no—
1723C22×C4—3164no—
1724C22×C4—3164no—
1725C22×C4—3164no—
1726C22×C4—3168no—
1727C22×C4—3162no—
1728C22×C4—3162no—
1729C22×C4—792no—
1730C22×C4—792no—
1731C22×C4—792no—
1732C22×C4—792no—
1733C22×C4—794no—
1734C22×C4—794no—
1735C22×C4—794no—
1736C22×C4—792no—
1737C22×C4—794no—
1738C22×C4—792no—
1739C22×C4—794no—
1740C22×C4—794no—
1741C22×C4—794no—
1742C22×C4—794no—
1743C22×C4—794no—
1744C22×C4—792no—
1745C22×C4—792no—
1746C22×C4—791no—
1747C22×C4—792no—
1748C22×C4—792no—
1749C22×C4—792no—
1750C22×C4—792no—
1751C22×C4—791no—
1752C22×C4—794no—
1753C22×C4—792no—
1754C22×C4—794no—
1755C22×C4—792no—
1756C22×C4—794no—
1757C22×C4—792no—
1758C22×C4—792no—
1759C22×C4—1588no—
1760C22×C4—1584no—
1761C22×C4C23×D7911yescharacteristic
1762C22×C4C23×D7911yescharacteristic
1763C22×C4C23×D7912yes—
1764C22×C4C23×D7912yes—
1765C22×C4C23×D7912yes—
1766C22×C4C23×D7912yes—
1767C22×C4C23×D7911yescharacteristic
1768C22×C4C23×D7912yes—
1769C22×C4C23×D7911yescharacteristic
1770C22×C4C23×D7914yes—
1771C22×C4C23×D7914yes—
1772C22×C4C23×D7911yescharacteristic
1773C22×C4C23×D7912yes—
1774C22×C4C23×D7911yescharacteristic
1775C22×C4C23×D7914yes—
1776C4⋊C4—794no—
1777C4⋊C4—794no—
1778C4⋊C4—794no—
1779C4⋊C4—794no—
1780C4⋊C4—794no—
1781C4⋊C4—794no—
1782C4⋊C4—794no—
1783C4⋊C4—794no—
1784C4⋊C4—794no—
1785C4⋊C4—794no—
1786C4⋊C4—794no—
1787C4⋊C4—794no—
1788C4⋊C4—794no—
1789C4⋊C4—794no—
1790C4⋊C4—794no—
1791C4⋊C4—794no—
1792C4⋊C4—794no—
1793C4⋊C4—794no—
1794C4⋊C4—794no—
1795C4⋊C4—794no—
1796C4⋊C4—794no—
1797C4⋊C4—794no—
1798C4⋊C4—794no—
1799C4⋊C4—794no—
1800C4⋊C4—794no—
1801C4⋊C4—794no—
1802C4⋊C4—792no—
1803C4⋊C4—792no—
1804C4⋊C4—792no—
1805C4⋊C4—794no—
1806C4⋊C4—794no—
1807C4⋊C4—794no—
1808C4⋊C4—794no—
1809C4⋊C4—792no—
1810C4⋊C4—794no—
1811C4⋊C4—794no—
1812C4⋊C4—792no—
1813C4⋊C4—792no—
1814C4⋊C4C23×D7914yes—
1815C4⋊C4C23×D7914yes—
1816C4⋊C4C23×D7912yes—
1817C4⋊C4C23×D7912yes—
1818C4⋊C4C23×D7914yes—
1819C4⋊C4C23×D7914yes—
1820C4⋊C4C23×D7914yes—
1821C4⋊C4C23×D7914yes—
1822C4⋊C4C23×D7914yes—
1823C4⋊C4C23×D7912yes—
1824C4⋊C4C23×D7914yes—
1825C4⋊C4C23×D7914yes—
1826C4⋊C4C23×D7914yes—
1827C4⋊C4C23×D7912yes—
1828C4⋊C4C23×D7912yes—
1829C4⋊C4C23×D7912yes—
1830C22⋊C4—794no—
1831C22⋊C4—794no—
1832C22⋊C4—794no—
1833C22⋊C4—794no—
1834C22⋊C4—794no—
1835C22⋊C4—794no—
1836C22⋊C4—794no—
1837C22⋊C4—794no—
1838C22⋊C4—794no—
1839C22⋊C4—794no—
1840C22⋊C4—794no—
1841C22⋊C4—794no—
1842C22⋊C4—794no—
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⋊C4C23×D7914yes—
1866C22⋊C4C23×D7914yes—
1867C22⋊C4C23×D7914yes—
1868C22⋊C4C23×D7914yes—
1869C22⋊C4C23×D7914yes—
1870C22⋊C4C23×D7914yes—
1871C22⋊C4C23×D7914yes—
1872C22⋊C4C23×D7914yes—
1873C22⋊C4C23×D7914yes—
1874C42—794no—
1875C42—794no—
1876C42—794no—
1877C42—794no—
1878C42—794no—
1879C42—794no—
1880C42—794no—
1881C42—794no—
1882C42—794no—
1883C42C23×D7914yes—
1884C42C23×D7914yes—
1885C42C23×D7914yes—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—31616no—
1890C23—3161no—
1891C23—3162no—
1892C23—3161no—
1893C23—3161no—
1894C23—3162no—
1895C23—3161no—
1896C23—3164no—
1897C23—3164no—
1898C23—794no—
1899C23—792no—
1900C23—792no—
1901C23—794no—
1902C23—1584no—
1903C23—1584no—
1904C23—1588no—
1905C23—1584no—
1906C23—1582no—
1907C23—1584no—
1908C23C24×D7914yes—
1909C23C24×D7911yescharacteristic
1910C23C24×D7911yescharacteristic
1911C23C24×D7911yescharacteristic
1912Q8—42no—
1913Q8—42no—
1914Q8—42no—
1915Q8—3164no—
1916Q8—3164no—
1917Q8—3162no—
1918Q8—3164no—
1919Q8—3162no—
1920Q8—3162no—
1921Q8—3164no—
1922Q8—1588no—
1923Q8—1588no—
1924Q8—1588no—
1925D4—28no—
1926D4—28no—
1927D4—28no—
1928D4—42no—
1929D4—42no—
1930D4—42no—
1931D4—3162no—
1932D4—3164no—
1933D4—3164no—
1934D4—3162no—
1935D4—3162no—
1936D4—3164no—
1937D4—3164no—
1938D4—3164no—
1939D4—3164no—
1940D4—1588no—
1941D4—1588no—
1942D4—1588no—
1943D4—1588no—
1944D4—1588no—
1945D4—1588no—
1946C2×C4—24no—
1947C2×C4—24no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—41no—
1951C2×C4—42no—
1952C2×C4—41no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—41no—
1956C2×C4—42no—
1957C2×C4—41no—
1958C2×C4—44no—
1959C2×C4—44no—
1960C2×C4—44no—
1961C2×C4—3162no—
1962C2×C4—3162no—
1963C2×C4—3162no—
1964C2×C4—3162no—
1965C2×C4—3164no—
1966C2×C4—3164no—
1967C2×C4—3164no—
1968C2×C4—3164no—
1969C2×C4—3164no—
1970C2×C4—3164no—
1971C2×C4—3164no—
1972C2×C4—3162no—
1973C2×C4—3162no—
1974C2×C4—3162no—
1975C2×C4—3162no—
1976C2×C4—3164no—
1977C2×C4—3164no—
1978C2×C4—794no—
1979C2×C4—792no—
1980C2×C4—794no—
1981C2×C4—794no—
1982C2×C4—794no—
1983C2×C4—794no—
1984C2×C4—794no—
1985C2×C4—792no—
1986C2×C4—1584no—
1987C2×C4—1584no—
1988C2×C4—1584no—
1989C2×C4—1584no—
1990C2×C4—1588no—
1991C2×C4—1588no—
1992C2×C4—1584no—
1993C2×C4—1584no—
1994C2×C4—1588no—
1995C2×C4—1582no—
1996C2×C4—1584no—
1997C2×C4—1584no—
1998C2×C4C24×D7914yes—
1999C2×C4C24×D7914yes—
2000C2×C4C24×D7912yes—
2001C2×C4C24×D7912yes—
2002C2×C4C24×D7912yes—
2003C2×C4C24×D7914yes—
2004C2×C4C24×D7912yes—
2005C2×C4C24×D7912yes—
2006C2×C4C24×D7912yes—
2007C22—28no—
2008C22—21no—
2009C22—21no—
2010C22—21no—
2011C22—21no—
2012C22—21no—
2013C22—21no—
2014C22—24no—
2015C22—24no—
2016C22—24no—
2017C22—3164no—
2018C22—3168no—
2019C22—3168no—
2020C22—3164no—
2021C22—794no—
2022C22—6328no—
2023C22—1584no—
2024C22—1582no—
2025C22—1584no—
2026C22—1582no—
2027C22—1584no—
2028C22—1582no—
2029C22—1582no—
2030C22—1582no—
2031C22H(5,𝔽2)×D7912yes—
2032C222−1+4×D7912yes—
2033C22#1909939912yes—
2034C22C25×D7911yescharacteristic
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—24no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—24no—
2044C4—794no—
2045C4—1582no—
2046C4—1584no—
2047C4—1584no—
2048C4—1584no—
2049C4—1584no—
2050C4—1584no—
2051C2—22no—
2052C2—22no—
2053C2—22no—
2054C2—44no—
2055C2—3162no—
2056C2—3164no—
2057C2—1584no—
2058C2C2×H(5,𝔽2)×D7911yescharacteristic
2059C2C2×2−1+4×D7911yescharacteristic
2060C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3492C2
hypercenter#3492D79
hypocenterC79#62819
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #23777686C2semidirect
2. #23777678C2semidirect
3. #23777647C2semidirect
4. #23777642C2semidirect
5. #23777624C2semidirect
6. #23777617C2semidirect
7. #23777612C2semidirect
8. #23777601C2semidirect
9. #23777441C2semidirect
10. #23777439C2semidirect
11. #23777233C2semidirect
12. #23777199C2semidirect
13. #23777143C2semidirect
14. #23777109C2semidirect
15. #23777101C2semidirect
16. #23777101C2semidirect
17. #23777083C2semidirect
18. #23777083C2semidirect
19. #23777074C2semidirect
20. #23777047C2semidirect
21. #525×D79C2semidirect
22. C22×#14579139C2semidirect
23. C79×#3492C2semidirect
24. C2×#14579208C22semidirect
25. C2×#41×D79C22semidirect
26. C23×Dic158C22semidirect
28. #19099317C22semidirect
29. #19099315C22semidirect
30. #19099314C22semidirect
31. #19099312C22semidirect
32. #19099311C22semidirect
33. #19099310C22semidirect
34. #19099309C22semidirect
35. #19099308C22semidirect
36. #19099285C22semidirect
37. #19099280C22semidirect
38. #19099273C22semidirect
39. #19099272C22semidirect
40. #19099272C22semidirect
41. #19099269C22semidirect
42. #19099269C22semidirect
43. #19099268C22semidirect
44. #19099268C22semidirect
45. #19099267C22semidirect
46. #19099267C22semidirect
47. #19099267C22semidirect
48. #19099267C22semidirect
49. #19099262C22semidirect
50. #19099262C22semidirect
51. #19099261C22semidirect
52. #19099256C22semidirect
53. #19099256C22semidirect
54. #19099250C22semidirect
55. #19099250C22semidirect
56. #19099249C22semidirect
57. #19099248C22semidirect
58. #19099246C22semidirect
59. #19099246C22semidirect
60. #19099246C22semidirect
61. #19099245C22semidirect
62. #19099245C22semidirect
63. #19099242C22semidirect
64. #19099242C22semidirect
65. #19099242C22semidirect
66. #19099241C22semidirect
67. #19099240C22semidirect
68. #19099240C22semidirect
69. #19099238C22semidirect
70. #19099237C22semidirect
71. #19099237C22semidirect
72. #19099237C22semidirect
73. #19099236C22semidirect
74. #19099236C22semidirect
75. D4×Dic158C22semidirect
76. D4×Dic158C22semidirect
77. #19099228C22semidirect
78. #19099226C22semidirect
79. #19099226C22semidirect
80. #19099226C22semidirect
81. #19099223C22semidirect
82. #19099222C22semidirect
83. #19099222C22semidirect
84. #19099222C22semidirect
85. #19099219C22semidirect
86. #19099219C22semidirect
87. #19099214C22semidirect
88. #19099214C22semidirect
89. #19099212C22semidirect
90. #19099212C22semidirect
91. #19099211C22semidirect
92. #19099211C22semidirect
93. #19099211C22semidirect
94. #19099208C22semidirect
95. #19099208C22semidirect
96. #19099205C22semidirect
97. #19099205C22semidirect
98. #19099205C22semidirect
99. #19099202C22semidirect
100. #19099202C22semidirect
101. #19099202C22semidirect
102. #19099201C22semidirect
103. #19099201C22semidirect
104. #19099194C22semidirect
105. #19099193C22semidirect
106. #19099192C22semidirect
107. #19099192C22semidirect
108. #19099190C22semidirect
111. #19099188C22semidirect
112. #19099188C22semidirect
113. #19099185C22semidirect
114. #19099184C22semidirect
115. #19099183C22semidirect
116. #19099183C22semidirect
117. #19099181C22semidirect
118. #19099179C22semidirect
119. #19099172C22semidirect
120. #19099172C22semidirect
121. #19099162C22semidirect
122. #19099162C22semidirect
123. #19099161C22semidirect
124. #19099161C22semidirect
125. #19099160C22semidirect
126. #19099160C22semidirect
127. #19099160C22semidirect
128. #19099158C22semidirect
129. #19099158C22semidirect
130. #19099156C22semidirect
131. #19099155C22semidirect
132. #19099155C22semidirect
133. #19099155C22semidirect
134. #19099154C22semidirect
135. #19099153C22semidirect
136. #19099153C22semidirect
137. #19099152C22semidirect
138. #19099150C22semidirect
139. #19099150C22semidirect
140. #19099146C22semidirect
141. #19099146C22semidirect
142. #19099145C22semidirect
143. #19099144C22semidirect
144. #19099143C22semidirect
145. #19099140C22semidirect
146. #19099140C22semidirect
147. #19099140C22semidirect
148. #19099139C22semidirect
149. #19099138C22semidirect
150. #19099135C22semidirect
151. #19099135C22semidirect
152. #19099135C22semidirect
153. #19099134C22semidirect
156. #19099119C22semidirect
157. #19099117C22semidirect
158. #19099096C22semidirect
159. #19099091C22semidirect
161. #19099076C22semidirect
163. #19099074C22semidirect
164. #19099074C22semidirect
165. #19099074C22semidirect
167. #19099073C22semidirect
169. #19099072C22semidirect
170. #19099072C22semidirect
172. #19099071C22semidirect
174. #19099069C22semidirect
175. #19099069C22semidirect
176. #19099069C22semidirect
177. #123×D79C22semidirect
179. C2×#14579139C22semidirect
180. C2×#14579139C22semidirect
181. C2×#14579139C22semidirect
182. C2×#14579139C22semidirect
183. C2×#14579139C22semidirect
184. C2×#14579139C22semidirect
185. C2×#14579139C22semidirect
186. C2×#14579139C22semidirect
188. C22⋊Q8×D79C22semidirect
189. C22⋊Q8×D79C22semidirect
191. #121×D79C22semidirect
193. #19099044C22semidirect
194. #19099042C22semidirect
195. #19099042C22semidirect
196. #19099040C22semidirect
200. C4×D4×D79C22semidirect
201. #117×D79C22semidirect
202. C22×Dic79⋊C4C22semidirect
203. C22×Dic79⋊C4C22semidirect
206. #554×C79C22semidirect
207. #553×C79C22semidirect
208. #552×C79C22semidirect
209. #547×C79C22semidirect
210. #544×C79C22semidirect
211. #539×C79C22semidirect
212. #539×C79C22semidirect
213. #537×C79C22semidirect
214. #525×C79C22semidirect
215. #525×C79C22semidirect
216. #525×C79C22semidirect
217. #520×C79C22semidirect
218. C22×C4⋊C4×C79C22semidirect
226. C2×#11929624C23semidirect
231. C2×#11929623C23semidirect
239. C22×Dic158C23semidirect
241. C2×Q8×D79C23semidirect
257. #14579161C23semidirect
258. #14579160C23semidirect
259. #14579160C23semidirect
260. #14579160C23semidirect
261. #14579160C23semidirect
262. #14579160C23semidirect
263. #14579160C23semidirect
264. #14579160C23semidirect
265. #14579159C23semidirect
266. #14579159C23semidirect
267. #14579159C23semidirect
274. #14579156C23semidirect
275. #14579156C23semidirect
276. #14579156C23semidirect
277. #14579156C23semidirect
280. #14579155C23semidirect
281. #14579155C23semidirect
282. #14579154C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579153C23semidirect
287. #14579153C23semidirect
288. #14579152C23semidirect
289. #14579152C23semidirect
290. #14579152C23semidirect
291. #14579151C23semidirect
292. #14579151C23semidirect
293. #14579151C23semidirect
294. #14579151C23semidirect
295. #14579151C23semidirect
296. #14579151C23semidirect
297. #14579151C23semidirect
298. #14579151C23semidirect
299. #14579151C23semidirect
300. #14579151C23semidirect
305. #14579149C23semidirect
306. #14579148C23semidirect
311. #14579147C23semidirect
312. #14579147C23semidirect
313. #14579147C23semidirect
314. #14579147C23semidirect
323. #14579146C23semidirect
324. #14579146C23semidirect
325. #14579146C23semidirect
326. #14579146C23semidirect
337. #14579144C23semidirect
338. #14579144C23semidirect
343. #14579143C23semidirect
344. #14579143C23semidirect
348. #14579142C23semidirect
349. #14579142C23semidirect
354. #14579141C23semidirect
355. #14579141C23semidirect
356. #14579141C23semidirect
363. #14579140C23semidirect
364. #14579140C23semidirect
365. #14579140C23semidirect
366. #14579140C23semidirect
389. #14579139C23semidirect
390. #14579139C23semidirect
391. #14579139C23semidirect
392. #14579139C23semidirect
393. #14579139C23semidirect
394. #14579139C23semidirect
395. #14579139C23semidirect
396. #14579139C23semidirect
397. #14579139C23semidirect
398. #14579139C23semidirect
405. #14579138C23semidirect
406. #14579138C23semidirect
407. #14579138C23semidirect
408. #14579138C23semidirect
409. #14579138C23semidirect
410. #14579138C23semidirect
411. #14579138C23semidirect
412. #14579138C23semidirect
417. #14579137C23semidirect
418. #14579137C23semidirect
423. #14579136C23semidirect
436. #14579134C23semidirect
437. #14579134C23semidirect
446. #14579133C23semidirect
447. #14579133C23semidirect
461. C4×Dic158C23semidirect
462. C4×Dic158C23semidirect
463. C4×Dic158C23semidirect
464. C4×Dic158C23semidirect
465. #14579126C23semidirect
466. #14579126C23semidirect
467. #14579126C23semidirect
468. #14579126C23semidirect
469. #14579126C23semidirect
484. #14579123C23semidirect
495. C4×C22⋊D79C23semidirect
496. C4×C22⋊D79C23semidirect
507. (C22⋊D79)⋊C4C23semidirect
508. (C22⋊D79)⋊C4C23semidirect
516. #14579119C23semidirect
520. #14579118C23semidirect
521. #14579118C23semidirect
525. #14579117C23semidirect
526. #14579117C23semidirect
536. C2×Dic79⋊C4C23semidirect
537. C2×Dic79⋊C4C23semidirect
542. C4⋊C4×D79C23semidirect
543. C4⋊C4×D79C23semidirect
544. C4⋊C4×D79C23semidirect
571. C4⋊Q8×C79C23semidirect
572. #126×C79C23semidirect
573. #126×C79C23semidirect
574. #125×C79C23semidirect
575. #125×C79C23semidirect
576. #125×C79C23semidirect
580. #123×C79C23semidirect
581. #123×C79C23semidirect
588. C22⋊Q8×C79C23semidirect
589. C22⋊Q8×C79C23semidirect
590. C22⋊Q8×C79C23semidirect
597. #121×C79C23semidirect
599. C4×Q8×C79C23semidirect
606. C4×D4×C79C23semidirect
610. #117×C79C23semidirect
617. C2×C4⋊C4×C79C23semidirect
877. C22×D792−1+4semidirect
1047. #3492D79semidirect
1054. C79#62819semidirect
1080. #554C2×D79semidirect
1086. #553C2×D79semidirect
1096. #552C2×D79semidirect
1128. #547C2×D79semidirect
1144. #544C2×D79semidirect
1171. #539C2×D79semidirect
1172. #539C2×D79semidirect
1186. #537C2×D79semidirect
1216. #525C2×D79semidirect
1217. #525C2×D79semidirect
1218. #525C2×D79semidirect
1238. #520C2×D79semidirect
1247. C22×C4⋊C4C2×D79semidirect
1305. C4⋊Q8C22×D79semidirect
1324. #126C22×D79semidirect
1325. #126C22×D79semidirect
1341. #125C22×D79semidirect
1342. #125C22×D79semidirect
1343. #125C22×D79semidirect
1396. #123C22×D79semidirect
1397. #123C22×D79semidirect
1473. C22⋊Q8C22×D79semidirect
1474. C22⋊Q8C22×D79semidirect
1475. C22⋊Q8C22×D79semidirect
1513. #121C22×D79semidirect
1535. C4×Q8C22×D79semidirect
1581. C4×D4C22×D79semidirect
1603. #117C22×D79semidirect
1628. C2×C4⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776862
#237776782
#237776472
#237776422
#237776242
#237776172
#237776122
#237776012
#237774412
#237774392
#237772332
#237771992
#237771432
#237771092
#237771012
#237770832
#237770742
#237770472
#525×D792
C22×#145791392
C79×#34922
#6281979