Finite Group Databasebeta

← #35182065

Subgroups — #35182065

Order 20224.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777974C211yesmaximal, characteristic, complemented
2#23777325C211yesmaximal, characteristic, complemented
3#23776459C211yesmaximal, characteristic, complemented
4#23776414C211yesmaximal, characteristic, complemented
5#23776146C211yesmaximal, characteristic, complemented
6#23776050C211yesmaximal, characteristic, complemented
7#23775698C211yesmaximal, characteristic, complemented
8#23775670C211yesmaximal, characteristic, complemented
9#23775659C211yesmaximal, characteristic, complemented
10#23775526C211yesmaximal, characteristic, complemented
11#23775356C211yesmaximal, characteristic, complemented
12#23775243C211yesmaximal, characteristic, complemented
13#23775111C211yesmaximal, characteristic, complemented
14#23775011C211yesmaximal, characteristic, complemented
15#23775005C211yesmaximal, characteristic, complemented
16#23774919C211yesmaximal, characteristic, complemented
17#23774891C211yesmaximal, characteristic, complemented
18#23774844C211yesmaximal, characteristic, complemented
19#23774812C211yesmaximal, characteristic, complemented
20#23774795C211yesmaximal, characteristic, complemented
21#23774505C211yesmaximal, characteristic, complemented
22#23774443C211yesmaximal, characteristic, complemented
23#23774373C211yesmaximal, characteristic, complemented
24#23773637C211yesmaximal, characteristic, complemented
25#23773610C211yesmaximal, characteristic, complemented
26#23773442C211yesmaximal, characteristic, complemented
27#23772934C211yesmaximal, characteristic, complemented
28#23772914C211yesmaximal, characteristic, complemented
29#23772861C211yesmaximal, characteristic, complemented
30#23772546C211yesmaximal, characteristic, complemented
31C79×#3274C211yesmaximal, characteristic, complemented
32C2×#14579187C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C2×#14579180C2211yescharacteristic
35C22×#11929612C2211yescharacteristic, complemented
36#19099308—21no—
37#19099300—21no—
38#19099299C2211yescharacteristic, complemented
39#19099299C2211yescharacteristic, complemented
40#19099285C2211yescharacteristic, complemented
41#19099272C2211yescharacteristic, complemented
42#19099260C2211yescharacteristic
43#19099256—21no—
44#19099256—21no—
45#19099253C2211yescharacteristic, complemented
46#19099244—21no—
47#19099244—21no—
48#19099242—21no—
49#19099222C2211yescharacteristic
50#19099219C2211yescharacteristic, complemented
51#19099213C2211yescharacteristic
52#19099212C2211yescharacteristic, complemented
53#19099210C2211yescharacteristic, complemented
54#19099207—21no—
55#19099207C2211yescharacteristic
56#19099207C2211yescharacteristic
57#19099201C2211yescharacteristic, complemented
58#19099180C2211yescharacteristic, complemented
59#19099171C2211yescharacteristic, complemented
60#19099167—21no—
61#19099167C2211yescharacteristic
62#19099166C2211yescharacteristic, complemented
63#19099158—21no—
64#19099155—21no—
65#19099150—21no—
66#19099148—21no—
67#19099145—21no—
68#19099134C2211yescharacteristic, complemented
69#19099126C2211yescharacteristic, complemented
70#19099109C2211yescharacteristic, complemented
71#19099094C2211yescharacteristic, complemented
72#19099094C2211yescharacteristic, complemented
73#19099093C2211yescharacteristic
74#19099069—21no—
75C2×#14579142—21no—
76#19099042C2211yescharacteristic
77#19099038C2211yescharacteristic, complemented
78C2×D4×Dic79C2211yescharacteristic, complemented
79#19098954C2211yescharacteristic, complemented
80#19098950C2211yescharacteristic
81#19098946C2211yescharacteristic, complemented
82#19098946C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098927C2211yescharacteristic, complemented
85#19098921C2211yescharacteristic, complemented
86#19098919C2211yescharacteristic, complemented
87#19098918C2211yescharacteristic, complemented
88#19098916C2211yescharacteristic, complemented
89#19098912C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic, complemented
94#19098884C2211yescharacteristic, complemented
95#19098879C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098873C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098870C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098841C2211yescharacteristic, complemented
106#19098821C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098807C2211yescharacteristic, complemented
111#19098806C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic
113#19098791C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098789C2211yescharacteristic, complemented
116#19098786C2211yescharacteristic, complemented
117#19098784C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098780C2211yescharacteristic
120#19098780C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic
122#19098777C2211yescharacteristic, complemented
123#19098776C2211yescharacteristic
124#19098776C2211yescharacteristic
125#19098776C2211yescharacteristic, complemented
126#19098776C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098776C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098776C2211yescharacteristic, complemented
132#19098772C2211yescharacteristic, complemented
133#19098766C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098766C2211yescharacteristic, complemented
138#19098762C2211yescharacteristic, complemented
139#19098760C2211yescharacteristic, complemented
140#19098760C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic
142#19098756C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098726C2211yescharacteristic
146#19098725C2211yescharacteristic, complemented
147#19098725C2211yescharacteristic, complemented
148#19098722C2211yescharacteristic
149#19098721C2211yescharacteristic, complemented
150#19098714C2211yescharacteristic, complemented
151#19098706C2211yescharacteristic
152#19098705C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic, complemented
154#19098701C2211yescharacteristic, complemented
155#19098697C2211yescharacteristic
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098692C2211yescharacteristic, complemented
159C8×Dic158C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098668C2211yescharacteristic, complemented
163#19098663C2211yescharacteristic, complemented
164C4×Dic316C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166#19098654C2211yescharacteristic, complemented
167D8×Dic79C2211yescharacteristic
168D8×Dic79C2211yescharacteristic, complemented
169D8×Dic79C2211yescharacteristic, complemented
170#19098643C2211yescharacteristic
171#19098639C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098635C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098613C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098586C2211yescharacteristic, complemented
182#19098573C2211yescharacteristic, complemented
183#19098565C2211yescharacteristic, complemented
184#19098564C2211yescharacteristic, complemented
185#19098561C2211yescharacteristic, complemented
186#19098559C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190#550×C79C2211yescharacteristic
191D42×C79C2211yescharacteristic, complemented
192#493×C79C2211yescharacteristic
193#469×C79C2211yescharacteristic
194#469×C79C2211yescharacteristic, complemented
195#460×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic
197#449×C79C2211yescharacteristic
198#449×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic
200#447×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202#436×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C2×#11929623C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C2×D4×D79C2311yescharacteristic
209C23×Dic79—21no—
210#14579187—42no—
211#14579185—42no—
212#14579180—42no—
213C2×Dic316C2311yescharacteristic
214C2×Dic316C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929612—42no—
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929608C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C22×C79⋊C8C2311yescharacteristic
232C2×C8×D79C2311yescharacteristic
233#14579160C2311yescharacteristic
234#14579159C2311yescharacteristic
235#14579159C2311yescharacteristic
236#14579157C2311yescharacteristic
237#14579156—21no—
238#14579156—21no—
239#14579156D411yescharacteristic
240#14579155—21no—
241#14579155—21no—
242#14579154—21no—
243#14579154—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154D411yescharacteristic
248#14579153—21no—
249#14579153C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579152C2311yescharacteristic
252#14579151—21no—
253#14579151—21no—
254#14579151D411yescharacteristic
255#14579150C2311yescharacteristic
256#14579149C2311yescharacteristic
257#14579148—21no—
258#14579148—21no—
259#14579148—21no—
260#14579148C2311yescharacteristic
261#14579148C2311yescharacteristic
262#14579148C2311yescharacteristic
263#14579148C2311yescharacteristic
264#14579148C2311yescharacteristic
265#14579147—21no—
266#14579147—21no—
267#14579147D411yescharacteristic
268#14579145—21no—
269#14579145D411yescharacteristic
270#14579144—21no—
271#14579144—21no—
272#14579143—21no—
273#14579143—21no—
274#14579143—21no—
275#14579142—21no—
276#14579142—21no—
277#14579142—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142D411yescharacteristic
293#14579141C2311yescharacteristic
294#14579140—21no—
295#14579140—21no—
296#14579140—21no—
297#14579140C2311yescharacteristic
298#14579140C2311yescharacteristic
299#14579140C2311yescharacteristic
300#14579139—21no—
301#14579139—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138D411yescharacteristic
308#14579137C2311yescharacteristic
309#14579135C2311yescharacteristic
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133D411yescharacteristic
324#14579132—21no—
325#14579132—21no—
326#14579132—21no—
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579130—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335C4×Dic158C2311yescharacteristic
336C4×Dic158C2311yescharacteristic
337C4×Dic158C2311yescharacteristic
338#14579126C2311yescharacteristic
339#14579126C2311yescharacteristic
340D4×Dic79—21no—
341D4×Dic79—21no—
342D4×Dic79—21no—
343D4×Dic79—21no—
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79—21no—
347D4×Dic79—21no—
348D4×Dic79—21no—
349D4×Dic79C2311yescharacteristic
350D4×Dic79C2311yescharacteristic
351D4×Dic79C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358#14579123C2311yescharacteristic
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79C2311yescharacteristic
363C4×C22⋊D79C2311yescharacteristic
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367#14579120C2311yescharacteristic
368#14579120C2311yescharacteristic
369#14579118—21no—
370#14579118C2311yescharacteristic
371#14579117—21no—
372#14579117—21no—
373#14579117—21no—
374#14579117—21no—
375C2×C4⋊Dic79C2311yescharacteristic
376C2×Dic79⋊C4—21no—
377C2×Dic79⋊C4—21no—
378C2×Dic79⋊C4—21no—
379C4⋊C4×D79C2311yescharacteristic
380C2×C22⋊Dic79—21no—
381C2×C22⋊Dic79—21no—
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C2×C22⋊Dic79—21no—
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444AGL(1,ℤ/8)×C79—42no—
445AGL(1,ℤ/8)×C79—42no—
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C2×D8×C79C2311yescharacteristic
455C2×M16×C79C2311yescharacteristic
456C2×M16×C79C2311yescharacteristic
457#127×C79—21no—
458#127×C79C2311yescharacteristic
459#127×C79C2311yescharacteristic
460#121×C79—21no—
461#121×C79—21no—
462#121×C79—21no—
463#121×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468#120×C79—21no—
469C4×Q8×C79C2311yescharacteristic
470C4×D4×C79—21no—
471C4×D4×C79C2311yescharacteristic
472C4×D4×C79C2311yescharacteristic
473#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929623—22no—
488#11929623—41no—
489#11929623—41no—
490#11929623—41no—
491#11929623—82no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—41no—
495C2×Dic158—41no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×Dic158C2411yescharacteristic
500C2×D316C2411yescharacteristic
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79C2×D411yescharacteristic
511C2×C22⋊D79C2×D411yescharacteristic
512D4×D79—41no—
513D4×D79—41no—
514C22×Dic79—21no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—82no—
528C22×Dic79C2×D411yescharacteristic
529C22×Dic79C2×D411yescharacteristic
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79C2411yescharacteristic
534Dic316—41no—
535Dic316—41no—
536#11929614—41no—
537#11929613—41no—
538#11929612—22no—
539#11929612—22no—
540#11929612—41no—
541#11929612—41no—
542#11929612—41no—
543#11929612—41no—
544#11929612—41no—
545#11929612—41no—
546#11929609—22no—
547#11929609—41no—
548#11929609—41no—
549#11929608—41no—
550#11929607—41no—
551C2×C79⋊C8—41no—
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C8×D79—41no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2×D411yescharacteristic
563C4⋊Dic79C2×D411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79C2×D411yescharacteristic
618C22⋊Dic79C2×D411yescharacteristic
619C22⋊Dic79C2×D411yescharacteristic
620C22⋊Dic79C2×D411yescharacteristic
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C24×C79—21no—
644C24×C79—21no—
645#41×C79—41no—
646#41×C79—41no—
647#41×C79—41no—
648#41×C79—41no—
649C2×Q8×C79C2411yescharacteristic
650C2×D4×C79—22no—
651C2×D4×C79—22no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79—41no—
666C2×D4×C79—82no—
667C2×D4×C79C2×D411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C2×D4×C79C2411yescharacteristic
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678SD16×C79—22no—
679SD16×C79—41no—
680SD16×C79—41no—
681D8×C79—22no—
682D8×C79—22no—
683D8×C79—41no—
684D8×C79—41no—
685D8×C79—41no—
686D8×C79—41no—
687M16×C79—41no—
688M16×C79—41no—
689C2×C8×C79C2411yescharacteristic
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C4⋊C4×C79—21no—
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
696C4⋊C4×C79C2411yescharacteristic
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79C2×D411yescharacteristic
703C22⋊C4×C79C2×D411yescharacteristic
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—42no—
712C23×C79—42no—
713C23×C79—42no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79—81no—
717C23×C79C22×D411yescharacteristic
718C23×C79C22×D411yescharacteristic
719C22×D79—21no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—41no—
736D4×C79—42no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
743D4×C79—81no—
744D4×C79—81no—
745D4×C79—81no—
746D4×C79—81no—
747D4×C79—81no—
748D4×C79H(5,𝔽2)12yes—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79—81no—
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C2511yescharacteristic
764C22⋊D79—41no—
765C22⋊D79—41no—
766C22⋊D79—42no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—41no—
783C2×Dic79—41no—
784C2×Dic79—42no—
785C2×Dic79—42no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79—81no—
789C2×Dic79—81no—
790C2×Dic79—81no—
791C2×Dic79—81no—
792C2×Dic79—81no—
793C2×Dic79—81no—
794C2×Dic79—81no—
795C2×Dic79—81no—
796C2×Dic79—81no—
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799C2×Dic79C22×D411yescharacteristic
800C2×Dic79C22×D411yescharacteristic
801C2×Dic79C22×D411yescharacteristic
802C2×Dic79C22×D411yescharacteristic
803C2×Dic79C22×D411yescharacteristic
804D316—21no—
805D316—21no—
806C4×D79—21no—
807C4×D79—21no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811Dic158—21no—
812Dic158—21no—
813Dic158—21no—
814Dic158—21no—
815Dic158—21no—
816Dic158—21no—
817Dic158—41no—
818Dic158—81no—
819Dic158—81no—
820C8×C79—21no—
821C8×C79—21no—
822C8×C79—21no—
823C8×C79—21no—
824C79⋊C8—21no—
825C79⋊C8—21no—
826C79⋊C8—21no—
827C79⋊C8—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—22no—
833C22×C79—21no—
834C22×C79—21no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—84no—
850C22×C79—162no—
851C22×C79C23×D411yescharacteristic
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—21no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79C2×H(5,𝔽2)11yescharacteristic
867C4×C79#58511yescharacteristic
868Dic79—21no—
869Dic79—21no—
870Dic79—21no—
871Dic79—21no—
872Dic79—21no—
873Dic79—21no—
874Dic79—21no—
875Dic79—41no—
876Dic79—41no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—41no—
884C2×C79—41no—
885C2×C79—42no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79—81no—
889C2×C79—81no—
890C2×C79#348811yescharacteristic
891C2×C79#358411yescharacteristic
892C2×C79#358511yescharacteristic
893D79—41no—
894D79—81no—
895#3562—791no—
896#3513—791no—
897#3401—791no—
898#3396—791no—
899#3370—791no—
900#3360—791no—
901#3330—791no—
902#3327—791no—
903#3326—791no—
904#3317—791no—
905#3306—791no—
906#3297—791no—
907#3282—791no—
908#3274D7911yescharacteristic, complemented
909#3273—791no—
910#3273—791no—
911#3267—791no—
912#3265—791no—
913#3260—791no—
914#3257—791no—
915#3256—791no—
916#3225—791no—
917#3220—791no—
918#3212—791no—
919#3122—791no—
920#3120—791no—
921#3105—791no—
922#3045—791no—
923#3042—791no—
924#3036—791no—
925#2993—791no—
926C79#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—791no—
928C2×AGL(1,ℤ/8)—791no—
929C2×AGL(1,ℤ/8)C2×D7911yescharacteristic
930C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
931C2×#135—791no—
932C22×SD16—791no—
933#562—1581no—
934#560—1581no—
935#559—791no—
936#559—791no—
937#556—791no—
938#554—791no—
939#553—791no—
940#553—1581no—
941#553—1581no—
942#552—791no—
943#551—1581no—
944#551—1581no—
945#551—1581no—
946#550C2×D7911yescharacteristic
947#548—791no—
948#548—791no—
949#547—791no—
950#547—791no—
951#546—791no—
952#546—791no—
953#546—791no—
954#546—791no—
955#546—1581no—
956D42C2×D7911yescharacteristic, complemented
957#542—791no—
958#541—791no—
959#540—791no—
960#540—791no—
961#540—1581no—
962#539—1581no—
963#539—1581no—
964#538—1581no—
965#538—1581no—
966#538—1581no—
967#536—791no—
968#535—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#525—1581no—
974C2×#123—1581no—
975#520—791no—
976#518—791no—
977C2×C4×D4—791no—
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495—791no—
983#493C2×D7911yescharacteristic
984#490—791no—
985#489—791no—
986#488—791no—
987#488—791no—
988#488—791no—
989#487—791no—
990#484—791no—
991#484—791no—
992#483—791no—
993#482—791no—
994#482—791no—
995#481—791no—
996#479—791no—
997#479—791no—
998#479—791no—
999#479—791no—
1000#478—791no—
1001#478—791no—
1002#478—791no—
1003#478—791no—
1004#476—791no—
1005#474—791no—
1006#470—791no—
1007#469C2×D7911yescharacteristic
1008#469C2×D7911yescharacteristic, complemented
1009#468—791no—
1010#468—791no—
1011#468—791no—
1012#468—791no—
1013#468—791no—
1014#466—791no—
1015#465—791no—
1016#465—791no—
1017#465—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#463—791no—
1022#463—791no—
1023#463—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#463—791no—
1031#463—791no—
1032#463—791no—
1033#463—791no—
1034#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461—791no—
1039#461—791no—
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460C2×D7911yescharacteristic, complemented
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459C2×D7911yescharacteristic
1048#452—791no—
1049#452—791no—
1050#452—791no—
1051#452—791no—
1052#452—791no—
1053#451—791no—
1054#450—791no—
1055#449—791no—
1056#449—791no—
1057#449—791no—
1058#449C2×D7911yescharacteristic
1059#449C2×D7911yescharacteristic, complemented
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447C2×D7911yescharacteristic
1065#447C2×D7911yescharacteristic, complemented
1066#446—791no—
1067C8×Q8—791no—
1068#442—791no—
1069#442—791no—
1070#441—791no—
1071#440—791no—
1072C4×Q16—791no—
1073C4×SD16—791no—
1074C4×SD16—791no—
1075C4×SD16C2×D7911yescharacteristic, complemented
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8—791no—
1080#436—791no—
1081#436—791no—
1082#436C2×D7911yescharacteristic, complemented
1083#435—791no—
1084#435—791no—
1085C8×D4—791no—
1086#433—791no—
1087#433—791no—
1088#431—791no—
1089#424—791no—
1090#424—791no—
1091#423—791no—
1092#419—791no—
1093#417—791no—
1094#417—791no—
1095#417—791no—
1096#416—791no—
1097C2×#102—791no—
1098C2×#41—791no—
1099C2×#41—791no—
1100C2×#41—791no—
1101C2×#41—1581no—
1102C2×#41C22×D7911yescharacteristic
1103C2×#41C22×D7911yescharacteristic
1104C22×Q8—791no—
1105C22×D4—21no—
1106C22×D4—791no—
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—1581no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—3162no—
1113AGL(1,ℤ/8)—3162no—
1114#135—3162no—
1115C2×Q16—791no—
1116C2×Q16—791no—
1117C2×Q16—791no—
1118C2×SD16—3162no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16—791no—
1127C2×SD16—791no—
1128C2×SD16C22×D7911yescharacteristic
1129C2×SD16C22×D7911yescharacteristic
1130C2×SD16C22×D7911yescharacteristic
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8C22×D7911yescharacteristic
1135C2×D8C22×D7911yescharacteristic
1136C2×D8C22×D7911yescharacteristic
1137C2×D8C22×D7911yescharacteristic
1138C2×D8C22×D7911yescharacteristic
1139C2×D8C22×D7911yescharacteristic
1140C2×M16—791no—
1141C2×M16—791no—
1142C2×M16C22×D7911yescharacteristic
1143C2×M16C22×D7911yescharacteristic
1144C22×C8—791no—
1145C22×C8—791no—
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8—791no—
1149#127—21no—
1150#127—791no—
1151#127C22×D7911yescharacteristic
1152#127C22×D7911yescharacteristic
1153#126—791no—
1154#126—791no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#126—1581no—
1163#126—1581no—
1164#125—791no—
1165#125—791no—
1166#125—791no—
1167#125—791no—
1168#125—1581no—
1169#125—1581no—
1170#125—1581no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—791no—
1177#124—791no—
1178#124—791no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#123—791no—
1185#123—791no—
1186#123—1581no—
1187#123—1581no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—791no—
1214C22⋊Q8—791no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8—1581no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121C22×D7911yescharacteristic
1249#121C22×D7911yescharacteristic
1250#121C22×D7911yescharacteristic
1251#121C22×D7911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—1581no—
1255#120—1581no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259#120—1581no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8—791no—
1264C4×Q8—791no—
1265C4×Q8C22×D7911yescharacteristic
1266C4×D4—21no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296#117—791no—
1297#117—791no—
1298#117—791no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304C2×C4⋊C4—791no—
1305C2×C4⋊C4—791no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4—1581no—
1308C2×C4⋊C4—1581no—
1309C2×C22⋊C4—1581no—
1310C2×C22⋊C4—1581no—
1311C2×C22⋊C4—1581no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C42—791no—
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107—791no—
1321#106—791no—
1322#106—791no—
1323#106—791no—
1324#106C22×D7911yescharacteristic
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8—791no—
1332C4⋊C8—791no—
1333C4⋊C8—791no—
1334C4⋊C8C22×D7911yescharacteristic
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103—791no—
1340#103—791no—
1341#103—791no—
1342#103—791no—
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103C22×D7911yescharacteristic
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102C22×D7911yescharacteristic
1363#102C22×D7911yescharacteristic
1364#102C22×D7911yescharacteristic
1365#102C22×D7911yescharacteristic
1366#102C22×D7911yescharacteristic
1367C22⋊C8—791no—
1368C22⋊C8—791no—
1369C22⋊C8—791no—
1370C22⋊C8—791no—
1371C22⋊C8C22×D7911yescharacteristic
1372C22⋊C8C22×D7911yescharacteristic
1373#97—791no—
1374#97—791no—
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8C22×D7911yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—1581no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3161no—
1387#41—3161no—
1388#41—3161no—
1389#41—3161no—
1390#41—3161no—
1391#41—6322no—
1392#41—1582no—
1393C2×Q8—3161no—
1394C2×Q8—3161no—
1395C2×Q8—791no—
1396C2×Q8—791no—
1397C2×Q8—791no—
1398C2×Q8—791no—
1399C2×Q8—1581no—
1400C2×Q8—1581no—
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—82no—
1419C2×D4—3161no—
1420C2×D4—3161no—
1421C2×D4—791no—
1422C2×D4—791no—
1423C2×D4—791no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4D4×D7911yescharacteristic
1434C2×D4C23×D7911yescharacteristic
1435C2×D4C23×D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—791no—
1443C22×C4—791no—
1444C22×C4—791no—
1445C22×C4—6322no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4—1581no—
1457C22×C4—1581no—
1458C22×C4—1581no—
1459C22×C4—1581no—
1460C22×C4—1581no—
1461C22×C4—1581no—
1462C22×C4C23×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—3161no—
1465Q16—3161no—
1466Q16—3161no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—3161no—
1471SD16—3161no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—3161no—
1477SD16—1582no—
1478SD16—1582no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—3161no—
1486D8—3161no—
1487D8—1582no—
1488M16—41no—
1489M16—41no—
1490M16—3161no—
1491M16—3161no—
1492C2×C8—3161no—
1493C2×C8—3161no—
1494C2×C8—791no—
1495C2×C8—791no—
1496C2×C8—791no—
1497C2×C8—791no—
1498C2×C8C23×D7911yescharacteristic
1499C2×C8C23×D7911yescharacteristic
1500C2×C8C23×D7911yescharacteristic
1501C2×C8C23×D7911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—791no—
1504C4⋊C4—791no—
1505C4⋊C4—791no—
1506C4⋊C4—791no—
1507C4⋊C4—791no—
1508C4⋊C4—791no—
1509C4⋊C4—791no—
1510C4⋊C4—791no—
1511C4⋊C4—791no—
1512C4⋊C4—791no—
1513C4⋊C4—791no—
1514C4⋊C4—791no—
1515C4⋊C4—791no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4—1581no—
1525C4⋊C4—1581no—
1526C4⋊C4—1581no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4D4×D7911yescharacteristic
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—791no—
1547C22⋊C4—791no—
1548C22⋊C4—791no—
1549C22⋊C4—791no—
1550C22⋊C4—791no—
1551C22⋊C4—791no—
1552C22⋊C4—791no—
1553C22⋊C4—791no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4D4×D7911yescharacteristic
1588C22⋊C4D4×D7911yescharacteristic
1589C42—21no—
1590C42—791no—
1591C42—791no—
1592C42—791no—
1593C42—791no—
1594C42—791no—
1595C42—1581no—
1596C42—1581no—
1597C42—1581no—
1598C42—1581no—
1599C42—1581no—
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—42no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—791no—
1613C23—6321no—
1614C23—6321no—
1615C23—6321no—
1616C23—1581no—
1617C23C2×D4×D7911yescharacteristic
1618C23C2×D4×D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—3161no—
1622Q8—6321no—
1623Q8—6321no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8—1581no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—41no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—3162no—
1653D4—3161no—
1654D4—3161no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—6321no—
1660D4—6321no—
1661D4—6321no—
1662D4—6321no—
1663D4—1581no—
1664D4—1581no—
1665D4#1457920612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—3162no—
1677C2×C4—3162no—
1678C2×C4—3161no—
1679C2×C4—3161no—
1680C2×C4—791no—
1681C2×C4—791no—
1682C2×C4—791no—
1683C2×C4—791no—
1684C2×C4—791no—
1685C2×C4—791no—
1686C2×C4—791no—
1687C2×C4—6321no—
1688C2×C4—6321no—
1689C2×C4—6321no—
1690C2×C4—6321no—
1691C2×C4—6321no—
1692C2×C4—6321no—
1693C2×C4—6321no—
1694C2×C4—6321no—
1695C2×C4—6321no—
1696C2×C4—6321no—
1697C2×C4—6321no—
1698C2×C4—6321no—
1699C2×C4—6321no—
1700C2×C4—6321no—
1701C2×C4—1581no—
1702C2×C4—1581no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4—1581no—
1710C2×C4C2×D4×D7911yescharacteristic
1711C2×C4C2×D4×D7911yescharacteristic
1712C2×C4C2×D4×D7911yescharacteristic
1713C2×C4C2×D4×D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1581no—
1720C8—1581no—
1721C8—1581no—
1722C8—1581no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—84no—
1745C22—162no—
1746C22—3161no—
1747C22—3161no—
1748C22—3161no—
1749C22—1581no—
1750C22—1581no—
1751C22—1581no—
1752C22—12642no—
1753C22C22×D4×D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—3161no—
1762C4—3161no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—1581no—
1769C4—1581no—
1770C4—1581no—
1771C4—1581no—
1772C4—1581no—
1773C4—1581no—
1774C4—1581no—
1775C4C2×#1457920611yescharacteristic
1776C4#1909939811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—3161no—
1785C2—6321no—
1786C2#2377706011yescharacteristic
1787C2#2377816811yescharacteristic
1788C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3274C2
socleC22×C79C23×D4
hypercenter#3274D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3274

Complements

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

NH ≅ G/Ntype
1. #23777974C2semidirect
2. #23777325C2semidirect
3. #23776459C2semidirect
4. #23776414C2semidirect
5. #23776146C2semidirect
6. #23776050C2semidirect
7. #23775698C2semidirect
8. #23775670C2semidirect
9. #23775659C2semidirect
10. #23775526C2semidirect
11. #23775356C2semidirect
12. #23775243C2semidirect
13. #23775111C2semidirect
14. #23775011C2semidirect
15. #23775005C2semidirect
16. #23774919C2semidirect
17. #23774891C2semidirect
18. #23774844C2semidirect
19. #23774812C2semidirect
20. #23774795C2semidirect
21. #23774505C2semidirect
22. #23774443C2semidirect
23. #23774373C2semidirect
24. #23773637C2semidirect
25. #23773610C2semidirect
26. #23773442C2semidirect
27. #23772934C2semidirect
28. #23772914C2semidirect
29. #23772861C2semidirect
30. #23772546C2semidirect
31. C79×#3274C2semidirect
35. C22×#11929612C22semidirect
38. #19099299C22semidirect
39. #19099299C22semidirect
40. #19099285C22semidirect
41. #19099272C22semidirect
45. #19099253C22semidirect
50. #19099219C22semidirect
52. #19099212C22semidirect
53. #19099210C22semidirect
57. #19099201C22semidirect
58. #19099180C22semidirect
59. #19099171C22semidirect
62. #19099166C22semidirect
68. #19099134C22semidirect
69. #19099126C22semidirect
70. #19099109C22semidirect
71. #19099094C22semidirect
72. #19099094C22semidirect
77. #19099038C22semidirect
78. C2×D4×Dic79C22semidirect
79. #19098954C22semidirect
81. #19098946C22semidirect
82. #19098946C22semidirect
83. #19098944C22semidirect
84. #19098927C22semidirect
85. #19098921C22semidirect
86. #19098919C22semidirect
87. #19098918C22semidirect
88. #19098916C22semidirect
89. #19098912C22semidirect
90. #19098899C22semidirect
91. #19098897C22semidirect
92. #19098895C22semidirect
93. #19098888C22semidirect
94. #19098884C22semidirect
95. #19098879C22semidirect
96. #19098873C22semidirect
97. #19098873C22semidirect
98. #19098871C22semidirect
99. #19098870C22semidirect
100. #19098865C22semidirect
101. #19098865C22semidirect
102. #19098861C22semidirect
103. #19098861C22semidirect
104. #19098852C22semidirect
105. #19098841C22semidirect
106. #19098821C22semidirect
107. #19098809C22semidirect
108. #19098808C22semidirect
109. #19098807C22semidirect
110. #19098807C22semidirect
111. #19098806C22semidirect
113. #19098791C22semidirect
114. #19098790C22semidirect
115. #19098789C22semidirect
116. #19098786C22semidirect
117. #19098784C22semidirect
118. #19098784C22semidirect
120. #19098780C22semidirect
122. #19098777C22semidirect
125. #19098776C22semidirect
126. #19098776C22semidirect
127. #19098776C22semidirect
128. #19098776C22semidirect
129. #19098776C22semidirect
130. #19098776C22semidirect
131. #19098776C22semidirect
132. #19098772C22semidirect
133. #19098766C22semidirect
134. #19098766C22semidirect
135. #19098766C22semidirect
136. #19098766C22semidirect
137. #19098766C22semidirect
138. #19098762C22semidirect
139. #19098760C22semidirect
140. #19098760C22semidirect
142. #19098756C22semidirect
143. #19098756C22semidirect
144. #19098727C22semidirect
146. #19098725C22semidirect
147. #19098725C22semidirect
149. #19098721C22semidirect
150. #19098714C22semidirect
152. #19098705C22semidirect
153. #19098705C22semidirect
154. #19098701C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098692C22semidirect
159. C8×Dic158C22semidirect
160. #19098675C22semidirect
161. #19098672C22semidirect
162. #19098668C22semidirect
163. #19098663C22semidirect
164. C4×Dic316C22semidirect
165. #19098654C22semidirect
166. #19098654C22semidirect
168. D8×Dic79C22semidirect
169. D8×Dic79C22semidirect
171. #19098639C22semidirect
172. #19098638C22semidirect
173. #19098635C22semidirect
174. #19098632C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
178. #19098613C22semidirect
179. #19098591C22semidirect
180. #19098588C22semidirect
181. #19098586C22semidirect
182. #19098573C22semidirect
183. #19098565C22semidirect
184. #19098564C22semidirect
185. #19098561C22semidirect
186. #19098559C22semidirect
187. #102×D79C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
191. D42×C79C22semidirect
194. #469×C79C22semidirect
195. #460×C79C22semidirect
198. #449×C79C22semidirect
200. #447×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. #436×C79C22semidirect
908. #3274D79semidirect
926. C79#62027semidirect
930. C2×AGL(1,ℤ/8)C2×D79semidirect
956. D42C2×D79semidirect
1008. #469C2×D79semidirect
1043. #460C2×D79semidirect
1059. #449C2×D79semidirect
1065. #447C2×D79semidirect
1075. C4×SD16C2×D79semidirect
1082. #436C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779742
#237773252
#237764592
#237764142
#237761462
#237760502
#237756982
#237756702
#237756592
#237755262
#237753562
#237752432
#237751112
#237750112
#237750052
#237749192
#237748912
#237748442
#237748122
#237747952
#237745052
#237744432
#237743732
#237736372
#237736102
#237734422
#237729342
#237729142
#237728612
#237725462
C79×#32742
#6202779