Finite Group Databasebeta

← #35182056

Subgroups — #35182056

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#23777992C211yesmaximal, characteristic, complemented
2#23777340C211yesmaximal, characteristic, complemented
3#23776464C211yesmaximal, characteristic, complemented
4#23776407C211yesmaximal, characteristic, complemented
5#23776157C211yesmaximal, characteristic, complemented
6#23776044C211yesmaximal, characteristic, complemented
7#23775701C211yesmaximal, characteristic, complemented
8#23775669C211yesmaximal, characteristic, complemented
9#23775660C211yesmaximal, characteristic, complemented
10#23775527C211yesmaximal, characteristic, complemented
11#23775362C211yesmaximal, characteristic, complemented
12#23775257C211yesmaximal, characteristic, complemented
13#23775113C211yesmaximal, characteristic, complemented
14#23775014C211yesmaximal, characteristic, complemented
15#23775006C211yesmaximal, characteristic, complemented
16#23775005C211yesmaximal, characteristic, complemented
17#23774919C211yesmaximal, characteristic, complemented
18#23774889C211yesmaximal, characteristic, complemented
19#23774843C211yesmaximal, characteristic, complemented
20#23774807C211yesmaximal, characteristic, complemented
21#23774801C211yesmaximal, characteristic, complemented
22#23774508C211yesmaximal, characteristic, complemented
23#23774449C211yesmaximal, characteristic, complemented
24#23774376C211yesmaximal, characteristic, complemented
25#23773641C211yesmaximal, characteristic, complemented
26#23773611C211yesmaximal, characteristic, complemented
27#23773447C211yesmaximal, characteristic, complemented
28#23772934C211yesmaximal, characteristic, complemented
29#23772907C211yesmaximal, characteristic, complemented
30#23772545C211yesmaximal, characteristic, complemented
31C79×#3036C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C2×#14579180C2211yescharacteristic
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099308—21no—
37#19099301—21no—
38#19099296C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099282C2211yescharacteristic, complemented
41#19099272C2211yescharacteristic, complemented
42#19099263C2211yescharacteristic
43#19099262—21no—
44#19099262—21no—
45#19099248C2211yescharacteristic, complemented
46#19099242—21no—
47#19099242—21no—
48#19099239—21no—
49#19099232C2211yescharacteristic
50#19099221C2211yescharacteristic, complemented
51#19099220C2211yescharacteristic
52#19099214C2211yescharacteristic
53#19099212C2211yescharacteristic, complemented
54#19099208C2211yescharacteristic
55#19099207C2211yescharacteristic
56#19099206C2211yescharacteristic, complemented
57#19099203—21no—
58#19099201C2211yescharacteristic, complemented
59D4×C22⋊D79C2211yescharacteristic, complemented
60#19099178C2211yescharacteristic, complemented
61#19099174C2211yescharacteristic, complemented
62#19099167C2211yescharacteristic, complemented
63#19099164C2211yescharacteristic
64#19099163—21no—
65#19099155—21no—
66#19099155—21no—
67#19099146—21no—
68#19099146—21no—
69#19099145—21no—
70#19099138C2211yescharacteristic, complemented
71#19099126C2211yescharacteristic, complemented
72#19099097C2211yescharacteristic
73#19099097C2211yescharacteristic, complemented
74#19099097C2211yescharacteristic, complemented
75#19099074—21no—
76C2×#14579144—21no—
77#19099042C2211yescharacteristic
78#19099035C2211yescharacteristic, complemented
79#19098954C2211yescharacteristic, complemented
80#19098951C2211yescharacteristic
81#19098945C2211yescharacteristic, complemented
82#19098945C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098938C2211yescharacteristic
85#19098926C2211yescharacteristic, complemented
86#19098924C2211yescharacteristic, complemented
87#19098917C2211yescharacteristic, complemented
88#19098917C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098912C2211yescharacteristic, complemented
91#19098898C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098892C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic, complemented
96#19098881C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098871C2211yescharacteristic, complemented
100#19098868C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098864C2211yescharacteristic, complemented
103#19098863C2211yescharacteristic, complemented
104#19098863C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic, complemented
106#19098841C2211yescharacteristic, complemented
107#19098821C2211yescharacteristic, complemented
108#19098816C2211yescharacteristic
109#19098813C2211yescharacteristic, complemented
110#19098812C2211yescharacteristic, complemented
111#19098809C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098808C2211yescharacteristic, complemented
114#19098806C2211yescharacteristic, complemented
115#19098796C2211yescharacteristic
116#19098795C2211yescharacteristic, complemented
117#19098791C2211yescharacteristic, complemented
118#19098789C2211yescharacteristic, complemented
119#19098786C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098781C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic
124#19098779C2211yescharacteristic, complemented
125#19098779C2211yescharacteristic, complemented
126#19098778C2211yescharacteristic
127#19098778C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic
129#19098776C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098770C2211yescharacteristic, complemented
132#19098767C2211yescharacteristic, complemented
133#19098766C2211yescharacteristic, complemented
134#19098765C2211yescharacteristic, complemented
135#19098762C2211yescharacteristic, complemented
136#19098761C2211yescharacteristic, complemented
137#19098761C2211yescharacteristic, complemented
138#19098760C2211yescharacteristic, complemented
139#19098756C2211yescharacteristic
140#19098755C2211yescharacteristic, complemented
141#19098728C2211yescharacteristic, complemented
142#19098725C2211yescharacteristic, complemented
143#19098725C2211yescharacteristic, complemented
144#19098722C2211yescharacteristic
145#19098722C2211yescharacteristic
146#19098720C2211yescharacteristic, complemented
147#19098714C2211yescharacteristic, complemented
148#19098709C2211yescharacteristic, complemented
149#19098708C2211yescharacteristic
150#19098708C2211yescharacteristic, complemented
151#19098707C2211yescharacteristic
152#19098705C2211yescharacteristic, complemented
153#19098700C2211yescharacteristic, complemented
154#19098698C2211yescharacteristic, complemented
155#19098697C2211yescharacteristic
156#19098695C2211yescharacteristic
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098690C2211yescharacteristic, complemented
160#19098687C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098672C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098655C2211yescharacteristic, complemented
166SD16×Dic79C2211yescharacteristic, complemented
167C4×#11929612C2211yescharacteristic, complemented
168C4×#11929612C2211yescharacteristic, complemented
169D8×Dic79C2211yescharacteristic
170C4×#11929609C2211yescharacteristic
171C4×#11929609C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173#19098640C2211yescharacteristic, complemented
174#19098639C2211yescharacteristic, complemented
175#19098639C2211yescharacteristic, complemented
176#19098632C2211yescharacteristic, complemented
177#19098632C2211yescharacteristic, complemented
178#19098628C2211yescharacteristic, complemented
179#19098623C2211yescharacteristic, complemented
180#19098623C2211yescharacteristic, complemented
181#19098616C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098588C2211yescharacteristic, complemented
184#19098570C2211yescharacteristic, complemented
185#19098561C2211yescharacteristic, complemented
186#19098558C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190#532×C79C2211yescharacteristic, complemented
191C2×C4×D4×C79C2211yescharacteristic, complemented
192#463×C79C2211yescharacteristic
193#463×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#461×C79C2211yescharacteristic, complemented
197#461×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic
199#459×C79C2211yescharacteristic, complemented
200#423×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202#417×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929623C2311yescharacteristic
206C2×#11929623C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79C2311yescharacteristic
210C2×D4×D79C2311yescharacteristic
211#14579188—42no—
212#14579185—42no—
213#14579180—42no—
214C2×Dic316C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225SD16×D79—42no—
226C2×D632C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234C2×C8×D79C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579159C2311yescharacteristic
237#14579157—21no—
238#14579157C2311yescharacteristic
239#14579157C2311yescharacteristic
240#14579156—21no—
241#14579156—21no—
242#14579156—21no—
243#14579155—21no—
244#14579155—21no—
245#14579155D411yescharacteristic
246#14579155D411yescharacteristic
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579153D411yescharacteristic
252#14579153C2311yescharacteristic
253#14579153C2311yescharacteristic
254#14579152C2311yescharacteristic
255#14579151—21no—
256#14579151—21no—
257#14579151—21no—
258#14579150C2311yescharacteristic
259#14579149D411yescharacteristic
260#14579149C2311yescharacteristic
261#14579149C2311yescharacteristic
262#14579148—21no—
263#14579148C2311yescharacteristic
264#14579148C2311yescharacteristic
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579146—21no—
270#14579146—21no—
271#14579146—21no—
272#14579145—21no—
273#14579145—21no—
274#14579144—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579144—21no—
281#14579144—21no—
282#14579144—21no—
283#14579144—21no—
284#14579144D411yescharacteristic
285#14579144D411yescharacteristic
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579142—21no—
294#14579141C2311yescharacteristic
295#14579140—21no—
296#14579140—21no—
297#14579140—21no—
298#14579140D411yescharacteristic
299#14579140C2311yescharacteristic
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579139—21no—
303#14579139—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579137C2311yescharacteristic
309#14579137C2311yescharacteristic
310#14579136C2311yescharacteristic
311#14579135—21no—
312#14579135—21no—
313#14579135—21no—
314#14579135D411yescharacteristic
315#14579135C2311yescharacteristic
316#14579135C2311yescharacteristic
317#14579134—21no—
318#14579134—21no—
319#14579134—21no—
320#14579134—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579132—21no—
330#14579132—21no—
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579132C2311yescharacteristic
334#14579132C2311yescharacteristic
335#14579131—21no—
336#14579131—21no—
337#14579130—21no—
338#14579130—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342#14579129—21no—
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345C4×Dic158C2311yescharacteristic
346C4×Dic158C2311yescharacteristic
347C4×Dic158C2311yescharacteristic
348#14579126C2311yescharacteristic
349C4×D316C2311yescharacteristic
350C4×D316C2311yescharacteristic
351C4×D316C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356#14579123C2311yescharacteristic
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79C2311yescharacteristic
366C4×C22⋊D79C2311yescharacteristic
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369(C22⋊D79)⋊C4—21no—
370(C22⋊D79)⋊C4—21no—
371#14579120—21no—
372#14579119C2311yescharacteristic
373#14579118—21no—
374#14579118—21no—
375#14579118C2311yescharacteristic
376#14579118C2311yescharacteristic
377#14579117—21no—
378#14579117—21no—
379C2×Dic79⋊C4—21no—
380C2×Dic79⋊C4—21no—
381C2×Dic79⋊C4—21no—
382C4⋊C4×D79C2311yescharacteristic
383C2×C22⋊Dic79—21no—
384C2×(C2×D79)⋊C4—21no—
385C2×(C2×D79)⋊C4—21no—
386C2×(C2×D79)⋊C4—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428C22⋊(C79⋊C8)C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C4×C79⋊C8C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C23×C4×C79—21no—
443AGL(1,ℤ/8)×C79—42no—
444AGL(1,ℤ/8)×C79—42no—
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×M16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C4⋊Q8×C79C2311yescharacteristic
456#127×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#121×C79—21no—
460#121×C79—21no—
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79—21no—
464C4×D4×C79—21no—
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469C2×C4⋊C4×C79C2311yescharacteristic
470C2×C22⋊C4×C79—21no—
471C2×C42×C79C2311yescharacteristic
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—41no—
487#11929625—41no—
488#11929624—82no—
489#11929623—22no—
490#11929623—41no—
491#11929623—41no—
492#11929623—41no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158C2×D411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498Q8×D79—41no—
499Q8×D79—41no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316C2×D411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—82no—
520C2×C22⋊D79C2×D411yescharacteristic
521C2×C22⋊D79C2×D411yescharacteristic
522D4×D79—22no—
523D4×D79—41no—
524D4×D79—41no—
525D4×D79—41no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79C2411yescharacteristic
539C2×C4×D79C2411yescharacteristic
540Dic316—41no—
541#11929614—41no—
542#11929614—41no—
543#11929613—41no—
544#11929613—41no—
545#11929612—22no—
546#11929612—41no—
547#11929612—41no—
548#11929612—41no—
549#11929611—41no—
550#11929611—41no—
551D632—41no—
552#11929609—22no—
553#11929609—41no—
554#11929609—41no—
555#11929609—41no—
556#11929607—41no—
557#11929607—41no—
558C2×C79⋊C8C2411yescharacteristic
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C8×D79—41no—
563C8×D79—41no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79C2×D411yescharacteristic
569C4⋊Dic79C2×D411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
573C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
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)⋊C4—21no—
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636(C2×D79)⋊C4C2×D411yescharacteristic
637(C2×D79)⋊C4C2×D411yescharacteristic
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79C2411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C24×C79—21no—
647#41×C79—41no—
648#41×C79—41no—
649#41×C79—41no—
650#41×C79—41no—
651C2×Q8×C79C2411yescharacteristic
652C2×Q8×C79C2411yescharacteristic
653C2×D4×C79—22no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—41no—
660C2×D4×C79C2411yescharacteristic
661C2×D4×C79C2411yescharacteristic
662C2×D4×C79C2411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C22×C4×C79—21no—
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—82no—
672C22×C4×C79C2×D411yescharacteristic
673C22×C4×C79C2×D411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675SD16×C79—22no—
676SD16×C79—22no—
677SD16×C79—41no—
678SD16×C79—41no—
679D8×C79—22no—
680D8×C79—22no—
681D8×C79—41no—
682D8×C79—41no—
683M16×C79—41no—
684M16×C79—41no—
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C42×C79C2×D411yescharacteristic
703C42×C79C2×D411yescharacteristic
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—42no—
711C23×C79—42no—
712C23×C79—81no—
713C23×C79C22×D411yescharacteristic
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—42no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79C22×D411yescharacteristic
723C22×D79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×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—42no—
736D4×C79—81no—
737D4×C79—81no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79H(5,𝔽2)12yes—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—41no—
748C2×C4×C79—41no—
749C2×C4×C79—42no—
750C2×C4×C79—81no—
751C2×C4×C79—81no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C2511yescharacteristic
762C22⋊D79—41no—
763C22⋊D79—41no—
764C22⋊D79—42no—
765C22⋊D79—42no—
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—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—42no—
785C2×Dic79—81no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79—81no—
789C2×Dic79—81no—
790C2×Dic79C22×D411yescharacteristic
791C2×Dic79C22×D411yescharacteristic
792C2×Dic79C22×D411yescharacteristic
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796D316—21no—
797D316—21no—
798D316—21no—
799D316—21no—
800D316—41no—
801D316—81no—
802D316—81no—
803C4×D79—21no—
804C4×D79—21no—
805C4×D79—21no—
806C4×D79—21no—
807C4×D79—81no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
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—22no—
831C22×C79—21no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
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—84no—
844C22×C79C23×D411yescharacteristic
845C2×D79—21no—
846C2×D79—21no—
847C2×D79—21no—
848C2×D79—21no—
849C2×D79—21no—
850C2×D79—21no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—162no—
858C2×D79—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—21no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867C4×C79—41no—
868C4×C79C2×H(5,𝔽2)11yescharacteristic
869C4×C79#58511yescharacteristic
870Dic79—21no—
871Dic79—21no—
872Dic79—21no—
873Dic79—21no—
874Dic79—21no—
875Dic79—21no—
876Dic79—41no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—42no—
884C2×C79—41no—
885C2×C79—81no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79#348811yescharacteristic
889C2×C79#358411yescharacteristic
890C2×C79#358511yescharacteristic
891D79—41no—
892D79—41no—
893D79—81no—
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#3274—791no—
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#3036D7911yescharacteristic, complemented
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#550—791no—
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—
956D42—791no—
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#532C2×D7911yescharacteristic, complemented
970#529—791no—
971#529—791no—
972#529—791no—
973#525—1581no—
974C2×#123—1581no—
975#520—791no—
976#518—791no—
977C2×C4×D4C2×D7911yescharacteristic, complemented
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495—791no—
983#493—791no—
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#469—791no—
1008#469—791no—
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#463C2×D7911yescharacteristic
1031#463C2×D7911yescharacteristic, complemented
1032#463C2×D7911yescharacteristic, complemented
1033#463C2×D7911yescharacteristic, complemented
1034#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461C2×D7911yescharacteristic, complemented
1039#461C2×D7911yescharacteristic, complemented
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460—791no—
1044#459—791no—
1045#459—791no—
1046#459C2×D7911yescharacteristic
1047#459C2×D7911yescharacteristic, complemented
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#449—791no—
1059#449—791no—
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447—791no—
1065#447—791no—
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×SD16—791no—
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8—791no—
1080#436—791no—
1081#436—791no—
1082#436—791no—
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#423C2×D7911yescharacteristic, complemented
1092#419—791no—
1093#417—791no—
1094#417C2×D7911yescharacteristic, complemented
1095#417C2×D7911yescharacteristic, complemented
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—791no—
1106C22×D4—791no—
1107C22×D4—1581no—
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—21no—
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×SD16C22×D7911yescharacteristic
1128C2×SD16C22×D7911yescharacteristic
1129C2×SD16C22×D7911yescharacteristic
1130C2×SD16C22×D7911yescharacteristic
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8—791no—
1135C2×D8—791no—
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⋊Q8C22×D7911yescharacteristic
1149#127—791no—
1150#127—791no—
1151#127—1581no—
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—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124C22×D7911yescharacteristic
1183#124C22×D7911yescharacteristic
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—791no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—791no—
1233#121—791no—
1234#121—791no—
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#121—1581no—
1249#121—1581no—
1250#121—1581no—
1251#121—1581no—
1252#120—1581no—
1253#120—1581no—
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×Q8—791no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
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—791no—
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×D4C22×D7911yescharacteristic
1293C4×D4C22×D7911yescharacteristic
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—1581no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4—1581no—
1308C2×C4⋊C4C22×D7911yescharacteristic
1309C2×C22⋊C4—21no—
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×C42C22×D7911yescharacteristic
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107—791no—
1321#106—791no—
1322#106—791no—
1323#106—791no—
1324#106—791no—
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8C22×D7911yescharacteristic
1332C4⋊C8C22×D7911yescharacteristic
1333C4⋊C8C22×D7911yescharacteristic
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#103C22×D7911yescharacteristic
1346#103C22×D7911yescharacteristic
1347#103C22×D7911yescharacteristic
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#102—791no—
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⋊C8—791no—
1372C22⋊C8—791no—
1373#97—791no—
1374#97—791no—
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8—791no—
1379C24—21no—
1380C24—1581no—
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—1581no—
1399C2×Q8—1581no—
1400C2×Q8C23×D7911yescharacteristic
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—3161no—
1412C2×D4—791no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—791no—
1416C2×D4—791no—
1417C2×D4—6322no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4—1582no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4C23×D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—82no—
1447C22×C4—791no—
1448C22×C4—791no—
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×C4D4×D7911yescharacteristic
1462C22×C4D4×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—3161no—
1465Q16—3161no—
1466Q16—3161no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—3161no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—3161no—
1477SD16—3161no—
1478SD16—1582no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—3161no—
1484D8—3161no—
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—21no—
1504C4⋊C4—21no—
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—791no—
1517C4⋊C4—791no—
1518C4⋊C4—791no—
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⋊C4—1581no—
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—791no—
1550C22⋊C4—791no—
1551C22⋊C4—791no—
1552C22⋊C4—791no—
1553C22⋊C4—791no—
1554C22⋊C4—791no—
1555C22⋊C4—791no—
1556C22⋊C4—791no—
1557C22⋊C4—791no—
1558C22⋊C4—791no—
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⋊C4—1581no—
1588C22⋊C4—1581no—
1589C42—791no—
1590C42—791no—
1591C42—1581no—
1592C42—1581no—
1593C42—1581no—
1594C42—1581no—
1595C42—1581no—
1596C42—1581no—
1597C42D4×D7911yescharacteristic
1598C42D4×D7911yescharacteristic
1599C42C23×D7911yescharacteristic
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—42no—
1607C23—81no—
1608C23—3162no—
1609C23—791no—
1610C23—791no—
1611C23—6321no—
1612C23—6321no—
1613C23—6321no—
1614C23—6321no—
1615C23—6321no—
1616C23—1581no—
1617C23—1581no—
1618C23C2×D4×D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—3161no—
1624Q8—6321no—
1625Q8—6321no—
1626Q8—1581no—
1627Q8—1581no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—3161no—
1643D4—3162no—
1644D4—3162no—
1645D4—3162no—
1646D4—3161no—
1647D4—3161no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—6321no—
1660D4—6321no—
1661D4—1581no—
1662D4—1581no—
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—41no—
1673C2×C4—41no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—3162no—
1682C2×C4—791no—
1683C2×C4—791no—
1684C2×C4—791no—
1685C2×C4—791no—
1686C2×C4—791no—
1687C2×C4—791no—
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—1581no—
1700C2×C4—1581no—
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×C4C2×D4×D7911yescharacteristic
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—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—84no—
1739C22—3161no—
1740C22—3161no—
1741C22—3161no—
1742C22—3161no—
1743C22—3161no—
1744C22—3161no—
1745C22—1581no—
1746C22—1581no—
1747C22—1581no—
1748C22—1581no—
1749C22—1581no—
1750C22—1581no—
1751C22—12642no—
1752C22—12642no—
1753C22C22×D4×D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—3161no—
1769C4—1581no—
1770C4—1581no—
1771C4—1581no—
1772C4—1581no—
1773C4—1581no—
1774C4—1581no—
1775C4C2×#1457920611yescharacteristic
1776C4#1909939911yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—3161no—
1783C2—3161no—
1784C2—6321no—
1785C2—6321no—
1786C2#2377706511yescharacteristic
1787C2#2377817311yescharacteristic
1788C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3036C2
socleC22×C79C23×D4
hypercenter#3036D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3036

Complements

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

NH ≅ G/Ntype
1. #23777992C2semidirect
2. #23777340C2semidirect
3. #23776464C2semidirect
4. #23776407C2semidirect
5. #23776157C2semidirect
6. #23776044C2semidirect
7. #23775701C2semidirect
8. #23775669C2semidirect
9. #23775660C2semidirect
10. #23775527C2semidirect
11. #23775362C2semidirect
12. #23775257C2semidirect
13. #23775113C2semidirect
14. #23775014C2semidirect
15. #23775006C2semidirect
16. #23775005C2semidirect
17. #23774919C2semidirect
18. #23774889C2semidirect
19. #23774843C2semidirect
20. #23774807C2semidirect
21. #23774801C2semidirect
22. #23774508C2semidirect
23. #23774449C2semidirect
24. #23774376C2semidirect
25. #23773641C2semidirect
26. #23773611C2semidirect
27. #23773447C2semidirect
28. #23772934C2semidirect
29. #23772907C2semidirect
30. #23772545C2semidirect
31. C79×#3036C2semidirect
35. C2×SD16×D79C22semidirect
38. #19099296C22semidirect
39. #19099295C22semidirect
40. #19099282C22semidirect
41. #19099272C22semidirect
45. #19099248C22semidirect
50. #19099221C22semidirect
53. #19099212C22semidirect
56. #19099206C22semidirect
58. #19099201C22semidirect
59. D4×C22⋊D79C22semidirect
60. #19099178C22semidirect
61. #19099174C22semidirect
62. #19099167C22semidirect
70. #19099138C22semidirect
71. #19099126C22semidirect
73. #19099097C22semidirect
74. #19099097C22semidirect
78. #19099035C22semidirect
79. #19098954C22semidirect
81. #19098945C22semidirect
82. #19098945C22semidirect
83. #19098944C22semidirect
85. #19098926C22semidirect
86. #19098924C22semidirect
87. #19098917C22semidirect
88. #19098917C22semidirect
89. #19098916C22semidirect
90. #19098912C22semidirect
91. #19098898C22semidirect
92. #19098897C22semidirect
93. #19098892C22semidirect
94. #19098886C22semidirect
95. #19098885C22semidirect
96. #19098881C22semidirect
97. #19098872C22semidirect
98. #19098871C22semidirect
99. #19098871C22semidirect
100. #19098868C22semidirect
101. #19098864C22semidirect
102. #19098864C22semidirect
103. #19098863C22semidirect
104. #19098863C22semidirect
105. #19098851C22semidirect
106. #19098841C22semidirect
107. #19098821C22semidirect
109. #19098813C22semidirect
110. #19098812C22semidirect
111. #19098809C22semidirect
112. #19098809C22semidirect
113. #19098808C22semidirect
114. #19098806C22semidirect
116. #19098795C22semidirect
117. #19098791C22semidirect
118. #19098789C22semidirect
119. #19098786C22semidirect
120. #19098786C22semidirect
121. #19098784C22semidirect
122. #19098781C22semidirect
124. #19098779C22semidirect
125. #19098779C22semidirect
127. #19098778C22semidirect
129. #19098776C22semidirect
130. #19098776C22semidirect
131. #19098770C22semidirect
132. #19098767C22semidirect
133. #19098766C22semidirect
134. #19098765C22semidirect
135. #19098762C22semidirect
136. #19098761C22semidirect
137. #19098761C22semidirect
138. #19098760C22semidirect
140. #19098755C22semidirect
141. #19098728C22semidirect
142. #19098725C22semidirect
143. #19098725C22semidirect
146. #19098720C22semidirect
147. #19098714C22semidirect
148. #19098709C22semidirect
150. #19098708C22semidirect
152. #19098705C22semidirect
153. #19098700C22semidirect
154. #19098698C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098690C22semidirect
160. #19098687C22semidirect
161. #19098675C22semidirect
162. #19098672C22semidirect
163. #19098667C22semidirect
164. #19098664C22semidirect
165. #19098655C22semidirect
166. SD16×Dic79C22semidirect
167. C4×#11929612C22semidirect
168. C4×#11929612C22semidirect
171. C4×#11929609C22semidirect
172. #19098643C22semidirect
173. #19098640C22semidirect
174. #19098639C22semidirect
175. #19098639C22semidirect
176. #19098632C22semidirect
177. #19098632C22semidirect
178. #19098628C22semidirect
179. #19098623C22semidirect
180. #19098623C22semidirect
181. #19098616C22semidirect
182. #19098588C22semidirect
183. #19098588C22semidirect
184. #19098570C22semidirect
185. #19098561C22semidirect
186. #19098558C22semidirect
187. #102×D79C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
190. #532×C79C22semidirect
191. C2×C4×D4×C79C22semidirect
193. #463×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #461×C79C22semidirect
197. #461×C79C22semidirect
199. #459×C79C22semidirect
200. #423×C79C22semidirect
201. #417×C79C22semidirect
202. #417×C79C22semidirect
924. #3036D79semidirect
926. C79#62027semidirect
930. C2×AGL(1,ℤ/8)C2×D79semidirect
969. #532C2×D79semidirect
977. C2×C4×D4C2×D79semidirect
1031. #463C2×D79semidirect
1032. #463C2×D79semidirect
1033. #463C2×D79semidirect
1038. #461C2×D79semidirect
1039. #461C2×D79semidirect
1047. #459C2×D79semidirect
1091. #423C2×D79semidirect
1094. #417C2×D79semidirect
1095. #417C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779922
#237773402
#237764642
#237764072
#237761572
#237760442
#237757012
#237756692
#237756602
#237755272
#237753622
#237752572
#237751132
#237750142
#237750062
#237750052
#237749192
#237748892
#237748432
#237748072
#237748012
#237745082
#237744492
#237743762
#237736412
#237736112
#237734472
#237729342
#237729072
#237725452
C79×#30362
#6202779