Finite Group Databasebeta

← #35173846

Subgroups — #35173846

Order 20224.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777679C211yesmaximal, characteristic, complemented
2#23777028C211yesmaximal, characteristic, complemented
3#23775634C211yesmaximal, characteristic, complemented
4#23775611C211yesmaximal, characteristic, complemented
5#23775547C211yesmaximal, characteristic, complemented
6#23775483C211yesmaximal, characteristic, complemented
7#23775441C211yesmaximal, characteristic, complemented
8#23775425C211yesmaximal, characteristic, complemented
9#23775254C211yesmaximal, characteristic, complemented
10#23775224C211yesmaximal, characteristic, complemented
11#23775108C211yesmaximal, characteristic, complemented
12#23775089C211yesmaximal, characteristic, complemented
13#23775037C211yesmaximal, characteristic, complemented
14#23774994C211yesmaximal, characteristic, complemented
15#23774918C211yesmaximal, characteristic, complemented
16#23774910C211yesmaximal, characteristic, complemented
17#23774894C211yesmaximal, characteristic, complemented
18#23774489C211yesmaximal, characteristic, complemented
19#23774471C211yesmaximal, characteristic, complemented
20#23774268C211yesmaximal, characteristic, complemented
21#23774249C211yesmaximal, characteristic, complemented
22#23774227C211yesmaximal, characteristic, complemented
23#23774187C211yesmaximal, characteristic, complemented
24#23773651C211yesmaximal, characteristic, complemented
25#23773581C211yesmaximal, characteristic, complemented
26#23772703C211yesmaximal, characteristic, complemented
27#23772672C211yesmaximal, characteristic, complemented
28#23772624C211yesmaximal, characteristic, complemented
29C2×#19098712C211yesmaximal, characteristic, complemented
30#23772449C211yesmaximal, characteristic, complemented
31C79×#3265C211yesmaximal, characteristic, complemented
32C2×#14579206C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579185C2211yescharacteristic, complemented
36C2×#14579185C2211yescharacteristic, complemented
37C2×#14579181C2211yescharacteristic, complemented
38C22×#11929611C2211yescharacteristic, complemented
39C2×SD16×D79C2211yescharacteristic, complemented
40#19099314—21no—
41#19099307—21no—
42#19099286C2211yescharacteristic, complemented
43#19099272—21no—
44#19099270C2211yescharacteristic, complemented
45#19099265C2211yescharacteristic, complemented
46#19099256—21no—
47#19099255C2211yescharacteristic, complemented
48Q8×C22⋊D79C2211yescharacteristic, complemented
49#19099221C2211yescharacteristic, complemented
50#19099212C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic
52#19099209C2211yescharacteristic
53#19099208C2211yescharacteristic
54#19099207C2211yescharacteristic
55#19099202—21no—
56#19099200—21no—
57#19099198C2211yescharacteristic
58#19099197C2211yescharacteristic
59D4×C22⋊D79—21no—
60D4×C22⋊D79C2211yescharacteristic
61#19099195—21no—
62#19099182C2211yescharacteristic, complemented
63#19099177—21no—
64#19099171C2211yescharacteristic, complemented
65#19099162—21no—
66#19099150—21no—
67#19099146—21no—
68#19099141C2211yescharacteristic, complemented
69#19099136C2211yescharacteristic, complemented
70#19099129C2211yescharacteristic
71#19099126C2211yescharacteristic
72#19099123—21no—
73#19099121—21no—
74#19099073C2211yescharacteristic
75#19099073C2211yescharacteristic, complemented
76#19099072C2211yescharacteristic
77C2×#14579137C2211yescharacteristic, complemented
78C2×#14579129—21no—
79#120×D79—21no—
80#19099035C2211yescharacteristic
81#19098954C2211yescharacteristic, complemented
82#19098945C2211yescharacteristic, complemented
83#19098934C2211yescharacteristic, complemented
84#19098926C2211yescharacteristic, complemented
85#19098923C2211yescharacteristic, complemented
86#19098916C2211yescharacteristic, complemented
87#19098909C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098906C2211yescharacteristic, complemented
90#19098903C2211yescharacteristic, complemented
91#19098903C2211yescharacteristic, complemented
92#19098899C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098879C2211yescharacteristic, complemented
98#19098879C2211yescharacteristic, complemented
99#19098877C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098861C2211yescharacteristic, complemented
102#19098853C2211yescharacteristic, complemented
103#19098844C2211yescharacteristic, complemented
104#19098820C2211yescharacteristic, complemented
105#19098820C2211yescharacteristic, complemented
106#19098815C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic, complemented
108#19098806C2211yescharacteristic, complemented
109#19098806C2211yescharacteristic, complemented
110#19098806C2211yescharacteristic, complemented
111#19098804C2211yescharacteristic, complemented
112#19098796C2211yescharacteristic, complemented
113#19098795C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098790C2211yescharacteristic, complemented
117#19098790C2211yescharacteristic, complemented
118#19098786C2211yescharacteristic, complemented
119#19098785C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098776C2211yescharacteristic, complemented
122#19098775C2211yescharacteristic, complemented
123#19098767C2211yescharacteristic, complemented
124#19098766C2211yescharacteristic, complemented
125#19098761C2211yescharacteristic, complemented
126#19098760C2211yescharacteristic, complemented
127#19098756C2211yescharacteristic, complemented
128#19098727C2211yescharacteristic, complemented
129#19098726C2211yescharacteristic, complemented
130#19098726C2211yescharacteristic, complemented
131#19098723C2211yescharacteristic, complemented
132#19098722C2211yescharacteristic, complemented
133#19098722C2211yescharacteristic, complemented
134#19098722C2211yescharacteristic, complemented
135#19098719C2211yescharacteristic, complemented
136#19098716C2211yescharacteristic, complemented
137#19098715C2211yescharacteristic
138#19098715C2211yescharacteristic, complemented
139#19098714C2211yescharacteristic, complemented
140#19098714C2211yescharacteristic, complemented
141#19098712C2211yescharacteristic
142#19098712C2211yescharacteristic
143#19098712C2211yescharacteristic, complemented
144#19098712C2211yescharacteristic, complemented
145#19098712C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098712C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098705C2211yescharacteristic, complemented
152#19098705C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic, complemented
154#19098703C2211yescharacteristic, complemented
155#19098700C2211yescharacteristic, complemented
156#19098696C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic
158#19098695C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098672C2211yescharacteristic, complemented
161#19098665C2211yescharacteristic, complemented
162#19098664C2211yescharacteristic, complemented
163C4×#11929611C2211yescharacteristic, complemented
164C4×#11929612C2211yescharacteristic, complemented
165#19098648C2211yescharacteristic, complemented
166D8×Dic79C2211yescharacteristic, complemented
167#19098640C2211yescharacteristic, complemented
168#19098639C2211yescharacteristic, complemented
169#19098636C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic, complemented
171#19098631C2211yescharacteristic, complemented
172D4×C79⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174#19098625C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098566C2211yescharacteristic, complemented
177#19098566C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098565C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181C2×#14579083C2211yescharacteristic, complemented
182C2×#14579082C2211yescharacteristic, complemented
183C2×#14579082C2211yescharacteristic, complemented
184#19098531C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic
192#496×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#449×C79C2211yescharacteristic, complemented
199#448×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579206—42no—
205#14579206—42no—
206C2×#11929624C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211C2×#11929623C2311yescharacteristic
212C2×Q8×D79C2311yescharacteristic, complemented
213C22×D316C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79—21no—
217C22×C22⋊D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—42no—
224C2×D4×D79—42no—
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579190—42no—
232#14579185—42no—
233#14579185—42no—
234#14579181—42no—
235C2×Dic316C2311yescharacteristic, complemented
236C2×#11929614C2311yescharacteristic, complemented
237C2×#11929614C2311yescharacteristic, complemented
238C2×#11929613C2311yescharacteristic
239C2×#11929613C2311yescharacteristic
240C2×#11929612C2311yescharacteristic
241C2×#11929612C2311yescharacteristic
242C2×#11929612C2311yescharacteristic, complemented
243C2×#11929612C2311yescharacteristic, complemented
244C2×#11929611—42no—
245C2×#11929611C2311yescharacteristic
246C2×#11929611C2311yescharacteristic
247C2×#11929611C2311yescharacteristic
248C2×#11929611C2311yescharacteristic
249SD16×D79—42no—
250C2×#11929609C2311yescharacteristic
251C2×#11929609C2311yescharacteristic
252C2×#11929607C2311yescharacteristic
253C2×#11929607C2311yescharacteristic
254C2×#11929607C2311yescharacteristic, complemented
255C22×C79⋊C8C2311yescharacteristic
256C22×C79⋊C8C2311yescharacteristic, complemented
257C2×C8×D79C2311yescharacteristic, complemented
258#14579161C2311yescharacteristic, complemented
259#14579160—21no—
260#14579159—21no—
261#14579159C2311yescharacteristic, complemented
262#14579157—21no—
263#14579157C2311yescharacteristic
264#14579156—21no—
265#14579156—21no—
266#14579156—21no—
267#14579156—21no—
268#14579155—21no—
269#14579154—21no—
270#14579154—21no—
271#14579153—21no—
272#14579152—21no—
273#14579152—21no—
274#14579152C2311yescharacteristic, complemented
275#14579151—21no—
276#14579149—21no—
277#14579149C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579146—21no—
284#14579146—21no—
285#14579146D411yescharacteristic
286#14579145—21no—
287#14579145—21no—
288#14579145—21no—
289#14579145—21no—
290#14579144—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143D411yescharacteristic
296#14579142—21no—
297#14579142—21no—
298#14579141C2311yescharacteristic
299#14579141C2311yescharacteristic
300#14579140—21no—
301#14579140—21no—
302#14579140C2311yescharacteristic
303#14579140C2311yescharacteristic
304#14579140C2311yescharacteristic, complemented
305#14579139D411yescharacteristic
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138—21no—
310#14579138D411yescharacteristic
311#14579137—21no—
312#14579137—21no—
313#14579137—21no—
314#14579137C2311yescharacteristic
315#14579137C2311yescharacteristic
316#14579137C2311yescharacteristic
317#14579137C2311yescharacteristic
318#14579137C2311yescharacteristic, complemented
319#14579136C2311yescharacteristic
320#14579135—21no—
321#14579135—21no—
322#14579135C2311yescharacteristic
323#14579134—21no—
324#14579134—21no—
325#14579134—21no—
326#14579134D411yescharacteristic
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133D411yescharacteristic
336#14579132—21no—
337#14579132—21no—
338#14579132C2311yescharacteristic
339#14579132C2311yescharacteristic
340#14579132C2311yescharacteristic
341#14579132C2311yescharacteristic, complemented
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131D411yescharacteristic
346#14579130—21no—
347#14579130—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351#14579129—21no—
352#14579129—21no—
353#14579129—21no—
354#14579129—21no—
355#14579129—21no—
356#14579129—21no—
357#14579129—21no—
358#14579129—21no—
359#14579129D411yescharacteristic
360Q8×Dic79C2311yescharacteristic, complemented
361C4×Dic158—21no—
362C4×Dic158C2311yescharacteristic, complemented
363C4×D316C2311yescharacteristic
364C4×D316C2311yescharacteristic
365D4×Dic79—21no—
366D4×Dic79—21no—
367D4×Dic79—21no—
368D4×Dic79—21no—
369D4×Dic79C2311yescharacteristic
370D4×Dic79C2311yescharacteristic, complemented
371#14579123C2311yescharacteristic
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380#14579119C2311yescharacteristic
381#14579119C2311yescharacteristic
382#14579119C2311yescharacteristic, complemented
383#14579118C2311yescharacteristic
384#14579117—21no—
385C2×C4⋊Dic79C2311yescharacteristic
386C2×C4⋊Dic79C2311yescharacteristic, complemented
387C2×Dic79⋊C4—21no—
388C2×Dic79⋊C4—21no—
389C2×C22⋊Dic79—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C2×(C2×D79)⋊C4—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C22⋊C4×D79—21no—
396#14579095C2311yescharacteristic, complemented
397#14579095C2311yescharacteristic, complemented
398#14579095C2311yescharacteristic, complemented
399#14579092C2311yescharacteristic, complemented
400#14579092C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579086C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579084C2311yescharacteristic, complemented
413#14579084C2311yescharacteristic, complemented
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic, complemented
427#14579082C2311yescharacteristic, complemented
428#14579082C2311yescharacteristic, complemented
429#14579082C2311yescharacteristic, complemented
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic, complemented
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442#14579071C2311yescharacteristic, complemented
443C4×C79⋊C8C2311yescharacteristic, complemented
444C8×Dic79C2311yescharacteristic, complemented
445C2×#41×C79C2311yescharacteristic, complemented
446C22×Q8×C79C2311yescharacteristic
447C22×D4×C79—21no—
448C22×D4×C79C2311yescharacteristic
449C22×D4×C79C2311yescharacteristic
450AGL(1,ℤ/8)×C79—42no—
451C2×SD16×C79—42no—
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic, complemented
457C2×SD16×C79C2311yescharacteristic, complemented
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C2×D8×C79C2311yescharacteristic, complemented
461C2×M16×C79C2311yescharacteristic, complemented
462C22×C8×C79C2311yescharacteristic
463#127×C79C2311yescharacteristic
464#124×C79—21no—
465#124×C79C2311yescharacteristic, complemented
466C22⋊Q8×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic, complemented
468#121×C79—21no—
469#121×C79—21no—
470#121×C79C2311yescharacteristic
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#120×C79—21no—
474#120×C79—21no—
475C4×Q8×C79C2311yescharacteristic, complemented
476C4×D4×C79—21no—
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic
479#107×C79C2311yescharacteristic, complemented
480C4⋊C8×C79C2311yescharacteristic, complemented
481#103×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic, complemented
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489#97×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—44no—
497C23×D79—82no—
498C23×D79—82no—
499C23×D79C2×D411yescharacteristic
500#11929624—22no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929623—22no—
505#11929623—44no—
506#11929623—41no—
507#11929623—41no—
508#11929623—41no—
509#11929623—41no—
510#11929623—41no—
511C2×Dic158—21no—
512C2×Dic158—21no—
513C2×Dic158C2×D411yescharacteristic
514C2×Dic158C2411yescharacteristic
515C2×Dic158C2411yescharacteristic
516Q8×D79—41no—
517Q8×D79—41no—
518C2×D316—21no—
519C2×D316—22no—
520C2×D316—21no—
521C2×D316—41no—
522C2×D316C2×D411yescharacteristic
523C2×D316C2×D411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—44no—
543C2×C22⋊D79—44no—
544C2×C22⋊D79—44no—
545C2×C22⋊D79—82no—
546C2×C22⋊D79C2×D411yescharacteristic
547C2×C22⋊D79C2×D411yescharacteristic
548C2×C22⋊D79C2×D411yescharacteristic
549C2×C22⋊D79C2×D411yescharacteristic
550D4×D79—22no—
551D4×D79—22no—
552D4×D79—22no—
553D4×D79—22no—
554D4×D79—22no—
555D4×D79—44no—
556D4×D79—41no—
557D4×D79—41no—
558D4×D79—41no—
559D4×D79—41no—
560D4×D79—41no—
561D4×D79—44no—
562D4×D79—44no—
563D4×D79—82no—
564D4×D79—82no—
565C22×Dic79—21no—
566C22×Dic79—21no—
567C22×Dic79—21no—
568C22×Dic79—21no—
569C22×Dic79—21no—
570C22×Dic79—21no—
571C22×Dic79—21no—
572C22×Dic79C2×D411yescharacteristic
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—41no—
578C2×C4×D79—41no—
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2×D411yescharacteristic
581C2×C4×D79C2411yescharacteristic
582C2×C4×D79C2411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584Dic316—41no—
585#11929614—41no—
586#11929614—41no—
587#11929613—22no—
588#11929613—41no—
589#11929612—22no—
590#11929612—41no—
591#11929612—41no—
592#11929612—41no—
593#11929611—22no—
594#11929611—22no—
595#11929611—41no—
596#11929611—41no—
597#11929609—22no—
598#11929609—41no—
599#11929607—41no—
600#11929607—41no—
601#11929607—41no—
602C2×C79⋊C8—41no—
603C2×C79⋊C8—41no—
604C2×C79⋊C8C2411yescharacteristic
605C2×C79⋊C8C2411yescharacteristic
606C2×C79⋊C8C2411yescharacteristic
607C2×C79⋊C8C2411yescharacteristic
608C8×D79—41no—
609C4⋊Dic79—21no—
610C4⋊Dic79—21no—
611C4⋊Dic79—21no—
612C4⋊Dic79—21no—
613C4⋊Dic79—21no—
614C4⋊Dic79—21no—
615C4⋊Dic79—21no—
616C4⋊Dic79C2×D411yescharacteristic
617C4⋊Dic79C2411yescharacteristic
618C4⋊Dic79C2411yescharacteristic
619C4⋊Dic79C2411yescharacteristic
620C4⋊Dic79C2411yescharacteristic
621Dic79⋊C4—21no—
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4C2×D411yescharacteristic
634Dic79⋊C4C2×D411yescharacteristic
635Dic79⋊C4C2×D411yescharacteristic
636Dic79⋊C4C2×D411yescharacteristic
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79C2×D411yescharacteristic
649C22⋊Dic79C2×D411yescharacteristic
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4C2×D411yescharacteristic
667(C2×D79)⋊C4C2×D411yescharacteristic
668(C2×D79)⋊C4C2×D411yescharacteristic
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672C4×Dic79—21no—
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79C2411yescharacteristic
678C24×C79—21no—
679C24×C79—21no—
680#41×C79—41no—
681#41×C79—41no—
682C2×Q8×C79—21no—
683C2×Q8×C79—41no—
684C2×Q8×C79—41no—
685C2×Q8×C79C2411yescharacteristic
686C2×Q8×C79C2411yescharacteristic
687C2×D4×C79—22no—
688C2×D4×C79—22no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—41no—
698C2×D4×C79—41no—
699C2×D4×C79—82no—
700C2×D4×C79C2×D411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C2×D4×C79C2411yescharacteristic
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710SD16×C79—22no—
711SD16×C79—22no—
712SD16×C79—41no—
713SD16×C79—41no—
714SD16×C79—41no—
715SD16×C79—41no—
716D8×C79—22no—
717D8×C79—41no—
718D8×C79—41no—
719M16×C79—41no—
720C2×C8×C79—41no—
721C2×C8×C79C2411yescharacteristic
722C2×C8×C79C2411yescharacteristic
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C4⋊C4×C79—21no—
726C4⋊C4×C79—21no—
727C4⋊C4×C79C2×D411yescharacteristic
728C4⋊C4×C79C2411yescharacteristic
729C4⋊C4×C79C2411yescharacteristic
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79—21no—
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—21no—
745C23×C79—42no—
746C23×C79—42no—
747C23×C79—42no—
748C23×C79—81no—
749C23×C79—81no—
750C23×C79—81no—
751C23×C79C22×D411yescharacteristic
752C23×C79C22×D411yescharacteristic
753C22×D79—22no—
754C22×D79—21no—
755C22×D79—24no—
756C22×D79—21no—
757C22×D79—41no—
758C22×D79—41no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
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—816no—
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—21no—
783Q8×C79—21no—
784Q8×C79—81no—
785D4×C79—22no—
786D4×C79—21no—
787D4×C79—21no—
788D4×C79—21no—
789D4×C79—21no—
790D4×C79—21no—
791D4×C79—21no—
792D4×C79—21no—
793D4×C79—42no—
794D4×C79—42no—
795D4×C79—42no—
796D4×C79—42no—
797D4×C79—81no—
798D4×C79—81no—
799D4×C79—81no—
800D4×C79—81no—
801D4×C79H(5,𝔽2)12yes—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—21no—
809C2×C4×C79—21no—
810C2×C4×C79—81no—
811C2×C4×C79—81no—
812C2×C4×C79—81no—
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C22×D411yescharacteristic
817C2×C4×C79C2511yescharacteristic
818C22⋊D79—24no—
819C22⋊D79—22no—
820C22⋊D79—41no—
821C22⋊D79—41no—
822C22⋊D79—41no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—42no—
828C22⋊D79—42no—
829C22⋊D79—42no—
830C22⋊D79—42no—
831C22⋊D79—81no—
832C22⋊D79—81no—
833C22⋊D79—81no—
834C22⋊D79—81no—
835C22⋊D79—81no—
836C22⋊D79—81no—
837C22⋊D79—81no—
838C2×Dic79—21no—
839C2×Dic79—21no—
840C2×Dic79—21no—
841C2×Dic79—21no—
842C2×Dic79—21no—
843C2×Dic79—21no—
844C2×Dic79—41no—
845C2×Dic79—42no—
846C2×Dic79—42no—
847C2×Dic79—81no—
848C2×Dic79—81no—
849C2×Dic79—81no—
850C2×Dic79—81no—
851C2×Dic79—81no—
852C2×Dic79C22×D411yescharacteristic
853C2×Dic79C22×D411yescharacteristic
854C2×Dic79C22×D411yescharacteristic
855C2×Dic79C22×D411yescharacteristic
856C2×Dic79C22×D411yescharacteristic
857D316—21no—
858D316—21no—
859D316—21no—
860D316—41no—
861D316—41no—
862D316—42no—
863D316—81no—
864D316H(5,𝔽2)12yes—
865C4×D79—21no—
866C4×D79—21no—
867C4×D79—21no—
868C4×D79—21no—
869C4×D79—21no—
870C4×D79—21no—
871C4×D79—41no—
872C4×D79—41no—
873C4×D79—42no—
874C4×D79—81no—
875C4×D79—81no—
876C4×D79—81no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—21no—
881Dic158—41no—
882Dic158—81no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—22no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—41no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—41no—
907C22×C79—41no—
908C22×C79—41no—
909C22×C79—84no—
910C22×C79—162no—
911C22×C79#57712yes—
912C22×C79C23×D411yescharacteristic
913C2×D79—21no—
914C2×D79—21no—
915C2×D79—21no—
916C2×D79—22no—
917C2×D79—21no—
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—21no—
921C2×D79—21no—
922C2×D79—21no—
923C2×D79—44no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—41no—
928C2×D79—41no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—84no—
934C2×D79—162no—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79C2×H(5,𝔽2)11yescharacteristic
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945Dic79—21no—
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—41no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61610—791nomaximal, Sylow
957C2×C79—22no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79—81no—
963C2×C79#348411yescharacteristic
964C2×C79C2×#57711yescharacteristic
965C2×C79#358511yescharacteristic
966D79—41no—
967D79—41no—
968D79—41no—
969D79—42no—
970D79—81no—
971#3541—791no—
972#3484—791no—
973#3324—791no—
974#3323—791no—
975#3318—791no—
976#3314—791no—
977#3311—791no—
978#3310—791no—
979#3297—791no—
980#3295—791no—
981#3282—791no—
982D4×SD16—791no—
983#3275—791no—
984#3272—791no—
985#3267—791no—
986#3266—791no—
987#3265—791no—
988#3265D7911yescharacteristic, complemented
989#3224—791no—
990#3222—791no—
991#3200—791no—
992#3198—791no—
993#3196—791no—
994#3191—791no—
995#3123—791no—
996#3118—791no—
997#3012—791no—
998#3009—791no—
999#3003—791no—
1000C2×#450—791no—
1001#2976—791no—
1002C79#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—791no—
1004C23×D4—791no—
1005C2×#137—791no—
1006C2×AGL(1,ℤ/8)—791no—
1007C2×AGL(1,ℤ/8)—791no—
1008C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1009C2×#135—791no—
1010C22×SD16—791no—
1011C22×SD16—791no—
1012C22×SD16C2×D7911yescharacteristic, complemented
1013#563—1581no—
1014#562—1581no—
1015#556—791no—
1016#554—791no—
1017#554—1581no—
1018#553—791no—
1019#553—1581no—
1020#552—791no—
1021D4×Q8—791no—
1022#548—791no—
1023#548C2×D7911yescharacteristic, complemented
1024#547—791no—
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—1581no—
1030#546—1581no—
1031D42—791no—
1032D42—791no—
1033D42—791no—
1034D42—1581no—
1035D42—1581no—
1036D42C2×D7911yescharacteristic
1037#542—791no—
1038#542—1581no—
1039#541—791no—
1040#539—1581no—
1041#538—1581no—
1042#538—1581no—
1043#537—791no—
1044#536—791no—
1045#535—791no—
1046#535—791no—
1047#534—1581no—
1048#534—1581no—
1049#525—791no—
1050#525—791no—
1051#525—791no—
1052C2×C22⋊Q8—791no—
1053C2×#120—1581no—
1054C2×#120—1581no—
1055#518—791no—
1056#497—791no—
1057#496C2×D7911yescharacteristic, complemented
1058#495—791no—
1059#492—791no—
1060#490—791no—
1061#489—791no—
1062#488—791no—
1063#486—791no—
1064#485—791no—
1065#485—791no—
1066#485—791no—
1067#485—791no—
1068#484—791no—
1069#482—791no—
1070#482—791no—
1071#482—791no—
1072#482—791no—
1073#481—791no—
1074#481—791no—
1075#480—791no—
1076#478—791no—
1077#478—791no—
1078#476—791no—
1079#474—791no—
1080#470—791no—
1081#470—791no—
1082#469—791no—
1083#468—791no—
1084#468—791no—
1085#468—791no—
1086#468—791no—
1087#468C2×D7911yescharacteristic, complemented
1088#467—791no—
1089#466—791no—
1090#466C2×D7911yescharacteristic, complemented
1091#465—791no—
1092#465—791no—
1093#465—791no—
1094#465—791no—
1095#465—791no—
1096#464—791no—
1097#464—791no—
1098#464—791no—
1099#463—791no—
1100#463—791no—
1101#463C2×D7911yescharacteristic, complemented
1102#461—791no—
1103#461—791no—
1104#460—791no—
1105#460—791no—
1106#460C2×D7911yescharacteristic, complemented
1107#459—791no—
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452—791no—
1112#452—791no—
1113#452—791no—
1114#452—791no—
1115#451—791no—
1116#450—791no—
1117#450—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#450—791no—
1127#450—791no—
1128#450—791no—
1129#450—791no—
1130#450C2×D7911yescharacteristic, complemented
1131#449—791no—
1132#449—791no—
1133#449—791no—
1134#449—791no—
1135#449C2×D7911yescharacteristic, complemented
1136#448—791no—
1137#448—791no—
1138#448C2×D7911yescharacteristic, complemented
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447C2×D7911yescharacteristic, complemented
1144#442—791no—
1145#440—791no—
1146#440—791no—
1147#440C2×D7911yescharacteristic, complemented
1148C4×SD16—791no—
1149C4×SD16—791no—
1150C4×SD16—791no—
1151C4×D8—791no—
1152#436—791no—
1153#436—791no—
1154#435—791no—
1155#435—791no—
1156#435—791no—
1157#435C2×D7911yescharacteristic, complemented
1158C8×D4—791no—
1159C8×D4—791no—
1160#433—791no—
1161#433—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#417—791no—
1166#416—791no—
1167C2×#102—791no—
1168C2×#102—791no—
1169C2×#102—791no—
1170#408—791no—
1171#408—791no—
1172#407—791no—
1173C2×C22⋊C8—791no—
1174C25—1581no—
1175H(5,𝔽2)—3162no—
1176H(5,𝔽2)—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—791no—
1182C2×#41—1581no—
1183C2×#41C22×D7911yescharacteristic, complemented
1184C22×Q8—791no—
1185C22×Q8C22×D7911yescharacteristic
1186C22×D4—21no—
1187C22×D4—3162no—
1188C22×D4—3162no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4—1581no—
1203C22×D4—1581no—
1204C22×D4C22×D7911yescharacteristic
1205C22×D4C22×D7911yescharacteristic
1206C23×C4—791no—
1207#137—3162no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—3162no—
1210AGL(1,ℤ/8)—3162no—
1211#135—3162no—
1212C2×Q16—791no—
1213C2×Q16—791no—
1214C2×Q16—791no—
1215C2×SD16—42no—
1216C2×SD16—3162no—
1217C2×SD16—3162no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16—791no—
1226C2×SD16—791no—
1227C2×SD16—791no—
1228C2×SD16C22×D7911yescharacteristic
1229C2×SD16C22×D7911yescharacteristic
1230C2×SD16C22×D7911yescharacteristic
1231C2×SD16C22×D7911yescharacteristic
1232C2×SD16C22×D7911yescharacteristic, complemented
1233C2×SD16C22×D7911yescharacteristic, complemented
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8C22×D7911yescharacteristic
1237C2×D8C22×D7911yescharacteristic
1238C2×D8C22×D7911yescharacteristic, complemented
1239C2×M16—791no—
1240C2×M16—791no—
1241C2×M16—791no—
1242C2×M16C22×D7911yescharacteristic, complemented
1243C22×C8—791no—
1244C22×C8—791no—
1245C22×C8—791no—
1246C22×C8C22×D7911yescharacteristic
1247C4⋊Q8—791no—
1248C4⋊Q8—791no—
1249C4⋊Q8—1581no—
1250C4⋊Q8—1581no—
1251#127—791no—
1252#127—1581no—
1253#127C22×D7911yescharacteristic
1254#126—1581no—
1255#126—1581no—
1256#126—1581no—
1257#126—1581no—
1258#126—1581no—
1259#126—1581no—
1260#126—1581no—
1261#125—791no—
1262#125—1581no—
1263#125—1581no—
1264#125—1581no—
1265#125—1581no—
1266#124—21no—
1267#124—791no—
1268#124—791no—
1269#124—1581no—
1270#124—1581no—
1271#124—1581no—
1272#124—1581no—
1273#124—1581no—
1274#124C22×D7911yescharacteristic, complemented
1275#123—791no—
1276#123—791no—
1277#123—1581no—
1278#123—1581no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285#123—1581no—
1286#123—1581no—
1287#123—1581no—
1288#123—1581no—
1289#123—1581no—
1290C22⋊Q8—21no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—791no—
1297C22⋊Q8—791no—
1298C22⋊Q8—791no—
1299C22⋊Q8—791no—
1300C22⋊Q8—791no—
1301C22⋊Q8—791no—
1302C22⋊Q8—791no—
1303C22⋊Q8—1581no—
1304C22⋊Q8—1581no—
1305C22⋊Q8—1581no—
1306C22⋊Q8—1581no—
1307C22⋊Q8—1581no—
1308C22⋊Q8—1581no—
1309C22⋊Q8—1581no—
1310C22⋊Q8—1581no—
1311C22⋊Q8—1581no—
1312C22⋊Q8C22×D7911yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—791no—
1316#121—791no—
1317#121—791no—
1318#121—791no—
1319#121—791no—
1320#121—791no—
1321#121—791no—
1322#121—791no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121—1581no—
1328#121—1581no—
1329#121—1581no—
1330#121—1581no—
1331#121—1581no—
1332#121—1581no—
1333#121—1581no—
1334#121—1581no—
1335#121—1581no—
1336#121—1581no—
1337#121—1581no—
1338#121C22×D7911yescharacteristic
1339#121C22×D7911yescharacteristic
1340#121C22×D7911yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—791no—
1344#120—791no—
1345#120—1581no—
1346#120—1581no—
1347#120—1581no—
1348#120—1581no—
1349#120—1581no—
1350#120—1581no—
1351#120—1581no—
1352#120—1581no—
1353#120—1581no—
1354#120—1581no—
1355#120—1581no—
1356#120—1581no—
1357#120—1581no—
1358#120—1581no—
1359#120—1581no—
1360#120—1581no—
1361C4×Q8—791no—
1362C4×Q8—791no—
1363C4×Q8—1581no—
1364C4×Q8C22×D7911yescharacteristic, complemented
1365C4×D4—21no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4—791no—
1369C4×D4—791no—
1370C4×D4—791no—
1371C4×D4—791no—
1372C4×D4—791no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377C4×D4—1581no—
1378C4×D4—1581no—
1379C4×D4—1581no—
1380C4×D4—1581no—
1381C4×D4—1581no—
1382C4×D4—1581no—
1383C4×D4C22×D7911yescharacteristic
1384C4×D4C22×D7911yescharacteristic
1385#117—791no—
1386#117—791no—
1387#117—791no—
1388#117—791no—
1389#117—1581no—
1390C2×C4⋊C4—791no—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—1581no—
1393C2×C4⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C22⋊C4—1581no—
1401#107—791no—
1402#107—791no—
1403#107—791no—
1404#107C22×D7911yescharacteristic, complemented
1405#106—791no—
1406#106—791no—
1407#106—791no—
1408#106—791no—
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103—791no—
1421#103C22×D7911yescharacteristic, complemented
1422#103C22×D7911yescharacteristic, complemented
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102C22×D7911yescharacteristic
1442#102C22×D7911yescharacteristic
1443#102C22×D7911yescharacteristic, complemented
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457#97—791no—
1458#97C22×D7911yescharacteristic, complemented
1459C4×C8—791no—
1460C4×C8—791no—
1461C24—21no—
1462C24—21no—
1463C24—3164no—
1464C24—791no—
1465C24—6322no—
1466C24—6322no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—41no—
1474#41—41no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3164no—
1479#41—3161no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—21no—
1487C2×Q8—41no—
1488C2×Q8—41no—
1489C2×Q8—3161no—
1490C2×Q8—3161no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—791no—
1494C2×Q8—1581no—
1495C2×Q8—1581no—
1496C2×Q8C23×D7911yescharacteristic
1497C2×Q8C23×D7911yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—3161no—
1512C2×D4—3164no—
1513C2×D4—3164no—
1514C2×D4—3164no—
1515C2×D4—3164no—
1516C2×D4—3164no—
1517C2×D4—3164no—
1518C2×D4—3161no—
1519C2×D4—3161no—
1520C2×D4—3161no—
1521C2×D4—3161no—
1522C2×D4—3161no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—791no—
1527C2×D4—791no—
1528C2×D4—791no—
1529C2×D4—791no—
1530C2×D4—791no—
1531C2×D4—6322no—
1532C2×D4—6322no—
1533C2×D4—6322no—
1534C2×D4—1582no—
1535C2×D4—1581no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1582no—
1544C2×D4—1582no—
1545C2×D4—1582no—
1546C2×D4—1581no—
1547C2×D4—1581no—
1548C2×D4—1581no—
1549C2×D4—1581no—
1550C2×D4—1582no—
1551C2×D4—1581no—
1552C2×D4—1581no—
1553C2×D4—1581no—
1554C2×D4—1581no—
1555C2×D4—1581no—
1556C2×D4—1582no—
1557C2×D4—1581no—
1558C2×D4D4×D7911yescharacteristic
1559C2×D4C23×D7911yescharacteristic
1560C2×D4C23×D7911yescharacteristic
1561C2×D4C23×D7911yescharacteristic
1562C2×D4C23×D7911yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—3161no—
1567C22×C4—3161no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
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×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—3161no—
1588Q16—3161no—
1589Q16—3161no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—3161no—
1602SD16—1582no—
1603SD16—1582no—
1604SD16—1582no—
1605SD16—1582no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—3161no—
1610D8—1582no—
1611M16—41no—
1612M16—3161no—
1613M16—3161no—
1614M16—3161no—
1615C2×C8—41no—
1616C2×C8—3161no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—791no—
1630C4⋊C4—791no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4—1581no—
1654C4⋊C4—1581no—
1655C4⋊C4—1581no—
1656C4⋊C4—1581no—
1657C4⋊C4D4×D7911yescharacteristic
1658C4⋊C4C23×D7911yescharacteristic
1659C4⋊C4C23×D7911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—791no—
1672C22⋊C4—791no—
1673C22⋊C4—791no—
1674C22⋊C4—791no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—21no—
1705C42—791no—
1706C42—1581no—
1707C42—1581no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—3161no—
1723C23—3161no—
1724C23—3162no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—3162no—
1730C23—3162no—
1731C23—3162no—
1732C23—791no—
1733C23—791no—
1734C23—791no—
1735C23—6321no—
1736C23—6321no—
1737C23—6321no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—6321no—
1743C23—6321no—
1744C23—63216no—
1745C23—1584no—
1746C23—1581no—
1747C23—1582no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—81no—
1756Q8—3161no—
1757Q8—6321no—
1758Q8—6321no—
1759Q8—1581no—
1760Q8—1581no—
1761Q8—1581no—
1762Q8—1581no—
1763D4—22no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—3162no—
1780D4—3161no—
1781D4—3161no—
1782D4—3162no—
1783D4—3162no—
1784D4—3162no—
1785D4—3162no—
1786D4—3162no—
1787D4—3161no—
1788D4—3161no—
1789D4—3161no—
1790D4—3162no—
1791D4—3162no—
1792D4—3162no—
1793D4—792no—
1794D4—6321no—
1795D4—6321no—
1796D4—6321no—
1797D4—6321no—
1798D4—6321no—
1799D4—6321no—
1800D4—6321no—
1801D4—6321no—
1802D4—1584no—
1803D4—1582no—
1804D4—1581no—
1805D4—1581no—
1806D4—1581no—
1807D4#1457920612yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—3162no—
1820C2×C4—3161no—
1821C2×C4—3161no—
1822C2×C4—3162no—
1823C2×C4—3162no—
1824C2×C4—3161no—
1825C2×C4—791no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—6321no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—84no—
1881C22—162no—
1882C22—3164no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—6324no—
1889C22—6324no—
1890C22—6324no—
1891C22—6324no—
1892C22—6324no—
1893C22—1581no—
1894C22—1581no—
1895C22—1582no—
1896C22—1581no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—12642no—
1904C22#1909937312yes—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—3161no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920611yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—3161no—
1934C2—3161no—
1935C2—3162no—
1936C2—3161no—
1937C2—6321no—
1938C2#2377702811yescharacteristic
1939C2C2×#1909937311yescharacteristic
1940C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3265C2
socleC22×C79C23×D4
hypercenter#3265D79
hypocenterC79#61610
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #23777679C2semidirect
2. #23777028C2semidirect
3. #23775634C2semidirect
4. #23775611C2semidirect
5. #23775547C2semidirect
6. #23775483C2semidirect
7. #23775441C2semidirect
8. #23775425C2semidirect
9. #23775254C2semidirect
10. #23775224C2semidirect
11. #23775108C2semidirect
12. #23775089C2semidirect
13. #23775037C2semidirect
14. #23774994C2semidirect
15. #23774918C2semidirect
16. #23774910C2semidirect
17. #23774894C2semidirect
18. #23774489C2semidirect
19. #23774471C2semidirect
20. #23774268C2semidirect
21. #23774249C2semidirect
22. #23774227C2semidirect
23. #23774187C2semidirect
24. #23773651C2semidirect
25. #23773581C2semidirect
26. #23772703C2semidirect
27. #23772672C2semidirect
28. #23772624C2semidirect
29. C2×#19098712C2semidirect
30. #23772449C2semidirect
31. C79×#3265C2semidirect
34. C2×#14579190C22semidirect
35. C2×#14579185C22semidirect
36. C2×#14579185C22semidirect
37. C2×#14579181C22semidirect
38. C22×#11929611C22semidirect
39. C2×SD16×D79C22semidirect
42. #19099286C22semidirect
44. #19099270C22semidirect
45. #19099265C22semidirect
47. #19099255C22semidirect
48. Q8×C22⋊D79C22semidirect
49. #19099221C22semidirect
50. #19099212C22semidirect
62. #19099182C22semidirect
64. #19099171C22semidirect
68. #19099141C22semidirect
69. #19099136C22semidirect
75. #19099073C22semidirect
77. C2×#14579137C22semidirect
81. #19098954C22semidirect
82. #19098945C22semidirect
83. #19098934C22semidirect
84. #19098926C22semidirect
85. #19098923C22semidirect
86. #19098916C22semidirect
87. #19098909C22semidirect
88. #19098906C22semidirect
89. #19098906C22semidirect
90. #19098903C22semidirect
91. #19098903C22semidirect
92. #19098899C22semidirect
93. #19098890C22semidirect
94. #19098885C22semidirect
95. #19098885C22semidirect
96. #19098885C22semidirect
97. #19098879C22semidirect
98. #19098879C22semidirect
99. #19098877C22semidirect
100. #19098866C22semidirect
101. #19098861C22semidirect
102. #19098853C22semidirect
103. #19098844C22semidirect
104. #19098820C22semidirect
105. #19098820C22semidirect
106. #19098815C22semidirect
107. #19098809C22semidirect
108. #19098806C22semidirect
109. #19098806C22semidirect
110. #19098806C22semidirect
111. #19098804C22semidirect
112. #19098796C22semidirect
113. #19098795C22semidirect
114. #19098794C22semidirect
115. #19098790C22semidirect
116. #19098790C22semidirect
117. #19098790C22semidirect
118. #19098786C22semidirect
119. #19098785C22semidirect
120. #19098783C22semidirect
121. #19098776C22semidirect
122. #19098775C22semidirect
123. #19098767C22semidirect
124. #19098766C22semidirect
125. #19098761C22semidirect
126. #19098760C22semidirect
127. #19098756C22semidirect
128. #19098727C22semidirect
129. #19098726C22semidirect
130. #19098726C22semidirect
131. #19098723C22semidirect
132. #19098722C22semidirect
133. #19098722C22semidirect
134. #19098722C22semidirect
135. #19098719C22semidirect
136. #19098716C22semidirect
138. #19098715C22semidirect
139. #19098714C22semidirect
140. #19098714C22semidirect
143. #19098712C22semidirect
144. #19098712C22semidirect
145. #19098712C22semidirect
146. #19098712C22semidirect
147. #19098712C22semidirect
148. #19098712C22semidirect
149. #19098712C22semidirect
150. #19098708C22semidirect
151. #19098705C22semidirect
152. #19098705C22semidirect
153. #19098705C22semidirect
154. #19098703C22semidirect
155. #19098700C22semidirect
156. #19098696C22semidirect
158. #19098695C22semidirect
159. #19098695C22semidirect
160. #19098672C22semidirect
161. #19098665C22semidirect
162. #19098664C22semidirect
163. C4×#11929611C22semidirect
164. C4×#11929612C22semidirect
165. #19098648C22semidirect
166. D8×Dic79C22semidirect
167. #19098640C22semidirect
168. #19098639C22semidirect
169. #19098636C22semidirect
170. #19098634C22semidirect
171. #19098631C22semidirect
172. D4×C79⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. #19098625C22semidirect
175. #19098623C22semidirect
176. #19098566C22semidirect
177. #19098566C22semidirect
178. #19098566C22semidirect
179. #19098565C22semidirect
180. #19098556C22semidirect
181. C2×#14579083C22semidirect
182. C2×#14579082C22semidirect
183. C2×#14579082C22semidirect
184. #19098531C22semidirect
185. #19098528C22semidirect
186. #19098525C22semidirect
187. C2×(C2×D79)⋊C8C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
192. #496×C79C22semidirect
193. #468×C79C22semidirect
194. #466×C79C22semidirect
195. #463×C79C22semidirect
196. #460×C79C22semidirect
197. #450×C79C22semidirect
198. #449×C79C22semidirect
199. #448×C79C22semidirect
200. #447×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
212. C2×Q8×D79C23semidirect
235. C2×Dic316C23semidirect
236. C2×#11929614C23semidirect
237. C2×#11929614C23semidirect
242. C2×#11929612C23semidirect
243. C2×#11929612C23semidirect
254. C2×#11929607C23semidirect
256. C22×C79⋊C8C23semidirect
257. C2×C8×D79C23semidirect
258. #14579161C23semidirect
261. #14579159C23semidirect
274. #14579152C23semidirect
304. #14579140C23semidirect
318. #14579137C23semidirect
341. #14579132C23semidirect
360. Q8×Dic79C23semidirect
362. C4×Dic158C23semidirect
370. D4×Dic79C23semidirect
382. #14579119C23semidirect
386. C2×C4⋊Dic79C23semidirect
396. #14579095C23semidirect
397. #14579095C23semidirect
398. #14579095C23semidirect
399. #14579092C23semidirect
400. #14579092C23semidirect
401. #14579092C23semidirect
402. #14579092C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579086C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579084C23semidirect
413. #14579084C23semidirect
426. #14579082C23semidirect
427. #14579082C23semidirect
428. #14579082C23semidirect
429. #14579082C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. #14579071C23semidirect
443. C4×C79⋊C8C23semidirect
444. C8×Dic79C23semidirect
445. C2×#41×C79C23semidirect
456. C2×SD16×C79C23semidirect
457. C2×SD16×C79C23semidirect
460. C2×D8×C79C23semidirect
461. C2×M16×C79C23semidirect
465. #124×C79C23semidirect
467. C22⋊Q8×C79C23semidirect
475. C4×Q8×C79C23semidirect
479. #107×C79C23semidirect
480. C4⋊C8×C79C23semidirect
481. #103×C79C23semidirect
482. #103×C79C23semidirect
485. #102×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. #97×C79C23semidirect
988. #3265D79semidirect
1002. C79#61610semidirect
1008. C2×AGL(1,ℤ/8)C2×D79semidirect
1012. C22×SD16C2×D79semidirect
1023. #548C2×D79semidirect
1057. #496C2×D79semidirect
1087. #468C2×D79semidirect
1090. #466C2×D79semidirect
1101. #463C2×D79semidirect
1106. #460C2×D79semidirect
1130. #450C2×D79semidirect
1135. #449C2×D79semidirect
1138. #448C2×D79semidirect
1143. #447C2×D79semidirect
1147. #440C2×D79semidirect
1157. #435C2×D79semidirect
1183. C2×#41C22×D79semidirect
1232. C2×SD16C22×D79semidirect
1233. C2×SD16C22×D79semidirect
1238. C2×D8C22×D79semidirect
1242. C2×M16C22×D79semidirect
1274. #124C22×D79semidirect
1312. C22⋊Q8C22×D79semidirect
1364. C4×Q8C22×D79semidirect
1404. #107C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1421. #103C22×D79semidirect
1422. #103C22×D79semidirect
1443. #102C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1458. #97C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776792
#237770282
#237756342
#237756112
#237755472
#237754832
#237754412
#237754252
#237752542
#237752242
#237751082
#237750892
#237750372
#237749942
#237749182
#237749102
#237748942
#237744892
#237744712
#237742682
#237742492
#237742272
#237741872
#237736512
#237735812
#237727032
#237726722
#237726242
C2×#190987122
#237724492
C79×#32652
#6161079