Finite Group Databasebeta

← #35173116

Subgroups — #35173116

Order 20224.

2578 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777236C211yesmaximal, characteristic, complemented
2D42×D79C211yesmaximal, characteristic, complemented
3#23775547C211yesmaximal, characteristic, complemented
4#23775545C211yesmaximal, characteristic, complemented
5#23775543C211yesmaximal, characteristic, complemented
6#23775541C211yesmaximal, characteristic, complemented
7#23775428C211yesmaximal, characteristic, complemented
8#23775426C211yesmaximal, characteristic, complemented
9#23775416C211yesmaximal, characteristic, complemented
10#23775414C211yesmaximal, characteristic, complemented
11#23774896C211yesmaximal, characteristic, complemented
12#23774895C211yesmaximal, characteristic, complemented
13#23774888C211yesmaximal, characteristic, complemented
14#23774886C211yesmaximal, characteristic, complemented
15#23774883C211yesmaximal, characteristic, complemented
16#23774879C211yesmaximal, characteristic, complemented
17#23774874C211yesmaximal, characteristic, complemented
18#23774422C211yesmaximal, characteristic, complemented
19#23774414C211yesmaximal, characteristic, complemented
20#23774215C211yesmaximal, characteristic, complemented
21#23774212C211yesmaximal, characteristic, complemented
22#23774155C211yesmaximal, characteristic, complemented
23#23774147C211yesmaximal, characteristic, complemented
24#23773542C211yesmaximal, characteristic, complemented
25#23773537C211yesmaximal, characteristic, complemented
26#23772628C211yesmaximal, characteristic, complemented
27#23772625C211yesmaximal, characteristic, complemented
28C2×#19098712C211yesmaximal, characteristic, complemented
29#447×D79C211yesmaximal, characteristic, complemented
30#23772425C211yesmaximal, characteristic, complemented
31C79×#3265C211yesmaximal, characteristic, complemented
32C22×D4×D79—21no—
33C22×D4×D79C2211yescharacteristic
34C22×D4×D79C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic, complemented
36C2×#14579188C2211yescharacteristic, complemented
37C2×#14579186C2211yescharacteristic, complemented
38C22×#11929611C2211yescharacteristic, complemented
39C2×D8×D79C2211yescharacteristic, complemented
40C2×D8×D79C2211yescharacteristic, complemented
41#19099265C2211yescharacteristic, complemented
42#19099262—21no—
43#19099259C2211yescharacteristic, complemented
44#19099256—21no—
45#19099254C2211yescharacteristic, complemented
46#19099247C2211yescharacteristic, complemented
47#19099243—21no—
48#19099240—21no—
49#19099224C2211yescharacteristic, complemented
50#19099206C2211yescharacteristic, complemented
51#19099201C2211yescharacteristic, complemented
52D4×D316C2211yescharacteristic
53D4×D316C2211yescharacteristic, complemented
54#19099198C2211yescharacteristic
55#19099197—21no—
56#19099197C2211yescharacteristic
57#19099197C2211yescharacteristic, complemented
58D4×C22⋊D79—21no—
59D4×C22⋊D79C2211yescharacteristic
60D4×C22⋊D79C2211yescharacteristic, complemented
61#19099195—21no—
62#19099195—21no—
63#19099159—21no—
64#19099147—21no—
65#19099121—21no—
66#127×D79C2211yescharacteristic, complemented
67#19099100C2211yescharacteristic, complemented
68#19099092C2211yescharacteristic, complemented
69#19099076C2211yescharacteristic, complemented
70#19099070C2211yescharacteristic, complemented
71C2×#14579137C2211yescharacteristic, complemented
72#121×D79—21no—
73#121×D79C2211yescharacteristic
74#121×D79C2211yescharacteristic, complemented
75#121×D79C2211yescharacteristic, complemented
76#120×D79—21no—
77#120×D79—21no—
78#19099035—21no—
79C4×D4×D79C2211yescharacteristic
80C4×D4×D79C2211yescharacteristic, complemented
81#19098953C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098949C2211yescharacteristic, complemented
84#19098928C2211yescharacteristic, complemented
85#19098927C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098892C2211yescharacteristic, complemented
89#19098892C2211yescharacteristic, complemented
90#19098890C2211yescharacteristic, complemented
91#19098888C2211yescharacteristic, complemented
92#19098886C2211yescharacteristic, complemented
93#19098884C2211yescharacteristic, complemented
94#19098882C2211yescharacteristic, complemented
95#19098879C2211yescharacteristic, complemented
96#19098878C2211yescharacteristic, complemented
97#19098878C2211yescharacteristic, complemented
98#19098875C2211yescharacteristic, complemented
99#19098875C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098864C2211yescharacteristic, complemented
103#19098863C2211yescharacteristic, complemented
104#19098816C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098814C2211yescharacteristic, complemented
107#19098813C2211yescharacteristic, complemented
108#19098812C2211yescharacteristic, complemented
109#19098811C2211yescharacteristic, complemented
110#19098806C2211yescharacteristic, complemented
111#19098799C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic, complemented
113#19098797C2211yescharacteristic, complemented
114#19098795C2211yescharacteristic, complemented
115#19098795C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098780C2211yescharacteristic, complemented
120#19098775C2211yescharacteristic, complemented
121#19098763C2211yescharacteristic, complemented
122#19098761C2211yescharacteristic, complemented
123#19098761C2211yescharacteristic, complemented
124#19098759C2211yescharacteristic, complemented
125#19098756C2211yescharacteristic, complemented
126#19098756C2211yescharacteristic, complemented
127#19098755C2211yescharacteristic, complemented
128#19098713C2211yescharacteristic, complemented
129#19098712C2211yescharacteristic, complemented
130#19098712C2211yescharacteristic, complemented
131#19098712C2211yescharacteristic, complemented
132#19098712C2211yescharacteristic, complemented
133#19098712C2211yescharacteristic, complemented
134#19098712C2211yescharacteristic, complemented
135#19098712C2211yescharacteristic, complemented
136#19098712C2211yescharacteristic, complemented
137#19098712C2211yescharacteristic, complemented
138#19098712C2211yescharacteristic, complemented
139#19098712C2211yescharacteristic, complemented
140#19098712C2211yescharacteristic, complemented
141#19098711C2211yescharacteristic, complemented
142#19098708C2211yescharacteristic, complemented
143#19098707C2211yescharacteristic, complemented
144#19098702C2211yescharacteristic, complemented
145#19098699C2211yescharacteristic, complemented
146#19098699C2211yescharacteristic, complemented
147#19098698C2211yescharacteristic
148#19098698C2211yescharacteristic, complemented
149#19098698C2211yescharacteristic, complemented
150#19098698C2211yescharacteristic, complemented
151#19098697C2211yescharacteristic, complemented
152#19098697C2211yescharacteristic, complemented
153#19098696C2211yescharacteristic, complemented
154#19098695C2211yescharacteristic
155#19098695C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098676C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098666C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098661C2211yescharacteristic, complemented
167#19098637C2211yescharacteristic, complemented
168#19098636C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic, complemented
171#19098633C2211yescharacteristic, complemented
172#19098632C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098619C2211yescharacteristic, complemented
175#19098618C2211yescharacteristic, complemented
176#19098569C2211yescharacteristic, complemented
177#19098568C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098566C2211yescharacteristic, complemented
180C2×#14579083C2211yescharacteristic, complemented
181C2×#14579082C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#19098526C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic, complemented
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—
204C24×D79—21no—
205C2×#11929625C2311yescharacteristic, complemented
206C22×D316—21no—
207C22×D316C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C22×C22⋊D79—21no—
212C22×C22⋊D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79—21no—
216C2×D4×D79—21no—
217C2×D4×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—21no—
224C2×D4×D79—21no—
225C2×D4×D79—21no—
226C2×D4×D79—42no—
227C2×D4×D79—42no—
228C2×D4×D79—42no—
229C2×D4×D79—42no—
230C2×D4×D79—48no—
231C2×D4×D79D411yescharacteristic
232C2×D4×D79C2311yescharacteristic
233C2×D4×D79C2311yescharacteristic
234C2×D4×D79C2311yescharacteristic
235C2×D4×D79C2311yescharacteristic
236C2×D4×D79C2311yescharacteristic
237C2×D4×D79C2311yescharacteristic
238C2×D4×D79C2311yescharacteristic
239C2×D4×D79C2311yescharacteristic, complemented
240C22×C4×D79—21no—
241C22×C4×D79C2311yescharacteristic
242C22×C4×D79C2311yescharacteristic
243#14579188—42no—
244#14579188—42no—
245#14579186—42no—
246C2×#11929611—42no—
247C2×#11929611C2311yescharacteristic
248C2×#11929611C2311yescharacteristic
249C2×#11929611C2311yescharacteristic, complemented
250C2×#11929611C2311yescharacteristic, complemented
251C2×#11929611C2311yescharacteristic, complemented
252C2×#11929611C2311yescharacteristic, complemented
253C2×D632C2311yescharacteristic
254C2×D632C2311yescharacteristic, complemented
255C2×D632C2311yescharacteristic, complemented
256C2×#11929609C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929609C2311yescharacteristic, complemented
259C2×#11929609C2311yescharacteristic, complemented
260C2×#11929609C2311yescharacteristic, complemented
261C2×#11929609C2311yescharacteristic, complemented
262D8×D79—42no—
263D8×D79—42no—
264C2×#11929608C2311yescharacteristic, complemented
265C2×#11929607C2311yescharacteristic, complemented
266C2×#11929607C2311yescharacteristic, complemented
267C22×C79⋊C8C2311yescharacteristic, complemented
268C2×C8×D79C2311yescharacteristic, complemented
269C2×C8×D79C2311yescharacteristic, complemented
270#14579158C2311yescharacteristic
271#14579157—21no—
272#14579157—21no—
273#14579157C2311yescharacteristic
274#14579157C2311yescharacteristic
275#14579156—21no—
276#14579156—21no—
277#14579155—21no—
278#14579154—21no—
279#14579154—21no—
280#14579154—21no—
281#14579153C2311yescharacteristic, complemented
282#14579152C2311yescharacteristic, complemented
283#14579151—21no—
284#14579151—21no—
285#14579150—21no—
286#14579150C2311yescharacteristic, complemented
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579145—21no—
291#14579144—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579142—21no—
297#14579137—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137C2311yescharacteristic
301#14579137C2311yescharacteristic
302#14579137C2311yescharacteristic, complemented
303#14579137C2311yescharacteristic, complemented
304#14579137C2311yescharacteristic, complemented
305#14579136—21no—
306#14579136C2311yescharacteristic
307#14579136C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579135—21no—
310#14579135—21no—
311#14579135C2311yescharacteristic
312#14579135C2311yescharacteristic
313#14579135C2311yescharacteristic, complemented
314#14579135C2311yescharacteristic, complemented
315#14579134—21no—
316#14579134—21no—
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#14579132C2311yescharacteristic
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579132C2311yescharacteristic, complemented
334#14579131—21no—
335#14579131—21no—
336#14579131—21no—
337#14579131—21no—
338#14579131—21no—
339#14579131—21no—
340#14579131—21no—
341#14579131—21no—
342#14579130—21no—
343#14579130—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351#14579129—21no—
352Q8×Dic79C2311yescharacteristic, complemented
353C4×D316—21no—
354C4×D316C2311yescharacteristic
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic, complemented
357D4×Dic79—21no—
358D4×Dic79D411yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic, complemented
361#14579123—21no—
362#14579123D411yescharacteristic
363#14579123C2311yescharacteristic
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79C2311yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4D411yescharacteristic
375(C22⋊D79)⋊C4D411yescharacteristic
376#14579120C2311yescharacteristic, complemented
377#14579119—21no—
378#14579119C2311yescharacteristic, complemented
379#14579118—21no—
380#14579118—21no—
381#14579117—21no—
382C2×C4⋊Dic79C2311yescharacteristic, complemented
383C2×Dic79⋊C4—21no—
384C4⋊C4×D79D411yescharacteristic
385C4⋊C4×D79C2311yescharacteristic
386C4⋊C4×D79C2311yescharacteristic, complemented
387C2×(C2×D79)⋊C4—21no—
388C2×(C2×D79)⋊C4—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79D411yescharacteristic
395C22⋊C4×D79D411yescharacteristic
396C42×D79C2311yescharacteristic
397#14579095C2311yescharacteristic, complemented
398#14579094C2311yescharacteristic, complemented
399#14579094C2311yescharacteristic, complemented
400#14579093C2311yescharacteristic, complemented
401#14579093C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403#14579092C2311yescharacteristic, complemented
404C4⋊(C79⋊C8)C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406Dic79⋊C8C2311yescharacteristic, complemented
407#14579085C2311yescharacteristic, complemented
408#14579085C2311yescharacteristic, complemented
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic, complemented
413#14579083C2311yescharacteristic, complemented
414#14579083C2311yescharacteristic, complemented
415#14579083C2311yescharacteristic, complemented
416#14579083C2311yescharacteristic, complemented
417#14579083C2311yescharacteristic, complemented
418#14579083C2311yescharacteristic, complemented
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic, complemented
423#14579082C2311yescharacteristic, complemented
424#14579082C2311yescharacteristic, complemented
425#14579082C2311yescharacteristic, complemented
426#14579082C2311yescharacteristic, complemented
427#14579082C2311yescharacteristic, complemented
428#14579082C2311yescharacteristic, complemented
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic, complemented
431#14579081C2311yescharacteristic, complemented
432#14579081C2311yescharacteristic, complemented
433C22⋊(C79⋊C8)C2311yescharacteristic, complemented
434C22⋊(C79⋊C8)C2311yescharacteristic, complemented
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic, complemented
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442(C2×D79)⋊C8C2311yescharacteristic, complemented
443#14579072C2311yescharacteristic, complemented
444#14579071C2311yescharacteristic, complemented
445#14579071C2311yescharacteristic, complemented
446C2×#41×C79C2311yescharacteristic, complemented
447C22×Q8×C79C2311yescharacteristic, complemented
448C22×D4×C79—21no—
449C22×D4×C79C2311yescharacteristic
450C22×D4×C79C2311yescharacteristic
451AGL(1,ℤ/8)×C79—42no—
452C2×SD16×C79—42no—
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic, complemented
456C2×SD16×C79C2311yescharacteristic, complemented
457C2×SD16×C79C2311yescharacteristic, complemented
458C2×SD16×C79C2311yescharacteristic, complemented
459C2×D8×C79C2311yescharacteristic
460C2×D8×C79C2311yescharacteristic, complemented
461C2×D8×C79C2311yescharacteristic, complemented
462C2×M16×C79C2311yescharacteristic, complemented
463C22×C8×C79C2311yescharacteristic, complemented
464#127×C79C2311yescharacteristic
465#124×C79—21no—
466#124×C79C2311yescharacteristic, complemented
467C22⋊Q8×C79—21no—
468C22⋊Q8×C79C2311yescharacteristic, complemented
469#121×C79—21no—
470#121×C79—21no—
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#121×C79C2311yescharacteristic, complemented
474#120×C79—21no—
475#120×C79—21no—
476C4×Q8×C79C2311yescharacteristic, complemented
477C4×D4×C79—21no—
478C4×D4×C79C2311yescharacteristic
479C4×D4×C79C2311yescharacteristic
480#107×C79C2311yescharacteristic, complemented
481C4⋊C8×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#103×C79C2311yescharacteristic, complemented
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic, complemented
486#102×C79C2311yescharacteristic, complemented
487#102×C79C2311yescharacteristic, complemented
488C22⋊C8×C79C2311yescharacteristic, complemented
489C22⋊C8×C79C2311yescharacteristic, complemented
490#97×C79C2311yescharacteristic, complemented
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—21no—
497C23×D79—21no—
498C23×D79—21no—
499C23×D79—21no—
500C23×D79—21no—
501C23×D79—44no—
502C23×D79—44no—
503C23×D79—44no—
504C23×D79—44no—
505C23×D79—82no—
506C23×D79—82no—
507C23×D79C2×D411yescharacteristic
508C23×D79C2×D411yescharacteristic
509#11929625—41no—
510#11929625—41no—
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316—21no—
515C2×D316—22no—
516C2×D316—22no—
517C2×D316—21no—
518C2×D316—21no—
519C2×D316—21no—
520C2×D316—21no—
521C2×D316—41no—
522C2×D316—41no—
523C2×D316—44no—
524C2×D316C2×D411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×D316C2411yescharacteristic
527C2×D316C2411yescharacteristic
528C2×D316C2411yescharacteristic
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—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—21no—
549C2×C22⋊D79—44no—
550C2×C22⋊D79—44no—
551C2×C22⋊D79—44no—
552C2×C22⋊D79—44no—
553C2×C22⋊D79C2×D411yescharacteristic
554C2×C22⋊D79C2×D411yescharacteristic
555D4×D79—22no—
556D4×D79—24no—
557D4×D79—22no—
558D4×D79—22no—
559D4×D79—22no—
560D4×D79—22no—
561D4×D79—22no—
562D4×D79—44no—
563D4×D79—44no—
564D4×D79—44no—
565D4×D79—44no—
566D4×D79—41no—
567D4×D79—41no—
568D4×D79—41no—
569D4×D79—41no—
570D4×D79—41no—
571D4×D79—41no—
572D4×D79—41no—
573D4×D79—41no—
574D4×D79—44no—
575D4×D79—44no—
576D4×D79—44no—
577D4×D79—44no—
578D4×D79—44no—
579D4×D79—44no—
580D4×D79—44no—
581D4×D79—44no—
582D4×D79—41no—
583D4×D79—41no—
584D4×D79—82no—
585C22×Dic79—21no—
586C22×Dic79—21no—
587C22×Dic79—21no—
588C22×Dic79C2×D411yescharacteristic
589C22×Dic79C2×D411yescharacteristic
590C2×C4×D79—21no—
591C2×C4×D79—21no—
592C2×C4×D79—21no—
593C2×C4×D79—21no—
594C2×C4×D79—21no—
595C2×C4×D79—21no—
596C2×C4×D79—41no—
597C2×C4×D79—41no—
598C2×C4×D79—41no—
599C2×C4×D79—41no—
600C2×C4×D79—44no—
601C2×C4×D79C2×D411yescharacteristic
602C2×C4×D79C2×D411yescharacteristic
603C2×C4×D79C2×D411yescharacteristic
604C2×C4×D79C2×D411yescharacteristic
605C2×C4×D79C2×D411yescharacteristic
606C2×C4×D79C2×D411yescharacteristic
607C2×C4×D79C2411yescharacteristic
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610#11929611—22no—
611#11929611—22no—
612#11929611—41no—
613#11929611—41no—
614#11929611—41no—
615#11929611—41no—
616D632—22no—
617D632—41no—
618D632—41no—
619#11929609—22no—
620#11929609—22no—
621#11929609—41no—
622#11929609—41no—
623#11929609—41no—
624#11929609—41no—
625#11929608—41no—
626#11929607—41no—
627#11929607—41no—
628C2×C79⋊C8—41no—
629C2×C79⋊C8C2411yescharacteristic
630C2×C79⋊C8C2411yescharacteristic
631C2×C79⋊C8C2411yescharacteristic
632C2×C79⋊C8C2411yescharacteristic
633C8×D79—41no—
634C8×D79—41no—
635C4⋊Dic79—21no—
636C4⋊Dic79—21no—
637C4⋊Dic79—21no—
638C4⋊Dic79C2×D411yescharacteristic
639C4⋊Dic79C2411yescharacteristic
640C4⋊Dic79C2411yescharacteristic
641C4⋊Dic79C2411yescharacteristic
642C4⋊Dic79C2411yescharacteristic
643Dic79⋊C4—21no—
644Dic79⋊C4—21no—
645Dic79⋊C4—21no—
646Dic79⋊C4—21no—
647Dic79⋊C4—21no—
648Dic79⋊C4—21no—
649Dic79⋊C4—21no—
650Dic79⋊C4—21no—
651Dic79⋊C4—21no—
652Dic79⋊C4—21no—
653Dic79⋊C4C2×D411yescharacteristic
654Dic79⋊C4C2×D411yescharacteristic
655C22⋊Dic79—21no—
656C22⋊Dic79—21no—
657C22⋊Dic79—21no—
658C22⋊Dic79—21no—
659C22⋊Dic79—21no—
660C22⋊Dic79—21no—
661C22⋊Dic79—21no—
662C22⋊Dic79C2×D411yescharacteristic
663C22⋊Dic79C2×D411yescharacteristic
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4—21no—
675(C2×D79)⋊C4—21no—
676(C2×D79)⋊C4—21no—
677(C2×D79)⋊C4—21no—
678(C2×D79)⋊C4—21no—
679(C2×D79)⋊C4—21no—
680(C2×D79)⋊C4—21no—
681(C2×D79)⋊C4—21no—
682(C2×D79)⋊C4C2×D411yescharacteristic
683(C2×D79)⋊C4C2×D411yescharacteristic
684(C2×D79)⋊C4C2×D411yescharacteristic
685(C2×D79)⋊C4C2×D411yescharacteristic
686C4×Dic79—21no—
687C4×Dic79—21no—
688C4×Dic79—21no—
689C4×Dic79C2×D411yescharacteristic
690C4×Dic79C2×D411yescharacteristic
691C4×Dic79C2411yescharacteristic
692C24×C79—21no—
693C24×C79—21no—
694#41×C79—41no—
695#41×C79—41no—
696C2×Q8×C79—21no—
697C2×Q8×C79—41no—
698C2×Q8×C79—41no—
699C2×Q8×C79C2411yescharacteristic
700C2×Q8×C79C2411yescharacteristic
701C2×D4×C79—22no—
702C2×D4×C79—22no—
703C2×D4×C79—21no—
704C2×D4×C79—21no—
705C2×D4×C79—21no—
706C2×D4×C79—21no—
707C2×D4×C79—21no—
708C2×D4×C79—21no—
709C2×D4×C79—21no—
710C2×D4×C79—21no—
711C2×D4×C79—41no—
712C2×D4×C79—41no—
713C2×D4×C79—44no—
714C2×D4×C79C2×D411yescharacteristic
715C2×D4×C79C2411yescharacteristic
716C2×D4×C79C2411yescharacteristic
717C2×D4×C79C2411yescharacteristic
718C2×D4×C79C2411yescharacteristic
719C22×C4×C79—21no—
720C22×C4×C79—21no—
721C22×C4×C79—21no—
722C22×C4×C79C2411yescharacteristic
723C22×C4×C79C2411yescharacteristic
724SD16×C79—22no—
725SD16×C79—22no—
726SD16×C79—41no—
727SD16×C79—41no—
728SD16×C79—41no—
729SD16×C79—41no—
730D8×C79—22no—
731D8×C79—41no—
732D8×C79—41no—
733M16×C79—41no—
734C2×C8×C79—41no—
735C2×C8×C79C2411yescharacteristic
736C2×C8×C79C2411yescharacteristic
737C2×C8×C79C2411yescharacteristic
738C2×C8×C79C2411yescharacteristic
739C4⋊C4×C79—21no—
740C4⋊C4×C79—21no—
741C4⋊C4×C79C2×D411yescharacteristic
742C4⋊C4×C79C2411yescharacteristic
743C4⋊C4×C79C2411yescharacteristic
744C22⋊C4×C79—21no—
745C22⋊C4×C79—21no—
746C22⋊C4×C79—21no—
747C22⋊C4×C79—21no—
748C22⋊C4×C79—21no—
749C22⋊C4×C79—21no—
750C22⋊C4×C79—21no—
751C22⋊C4×C79C2×D411yescharacteristic
752C22⋊C4×C79C2×D411yescharacteristic
753C42×C79—21no—
754C42×C79C2411yescharacteristic
755C23×C79—21no—
756C23×C79—21no—
757C23×C79—21no—
758C23×C79—21no—
759C23×C79—42no—
760C23×C79—42no—
761C23×C79—42no—
762C23×C79—42no—
763C23×C79—81no—
764C23×C79—81no—
765C23×C79C22×D411yescharacteristic
766C23×C79C22×D411yescharacteristic
767C22×D79—24no—
768C22×D79—21no—
769C22×D79—22no—
770C22×D79—21no—
771C22×D79—21no—
772C22×D79—21no—
773C22×D79—41no—
774C22×D79—41no—
775C22×D79—41no—
776C22×D79—41no—
777C22×D79—42no—
778C22×D79—42no—
779C22×D79—42no—
780C22×D79—42no—
781C22×D79—42no—
782C22×D79—42no—
783C22×D79—42no—
784C22×D79—42no—
785C22×D79—42no—
786C22×D79—42no—
787C22×D79—42no—
788C22×D79—42no—
789C22×D79—42no—
790C22×D79—42no—
791C22×D79—42no—
792C22×D79—42no—
793C22×D79—42no—
794C22×D79—42no—
795C22×D79—42no—
796C22×D79—42no—
797C22×D79—42no—
798C22×D79—81no—
799C22×D79—81no—
800C22×D79—81no—
801C22×D79—81no—
802C22×D79—81no—
803C22×D79—81no—
804C22×D79—81no—
805C22×D79—81no—
806C22×D79—816no—
807C22×D79—816no—
808C22×D79AGL(1,ℤ/8)14yescomplemented
809C22×D79C22×D411yescharacteristic
810C22×D79C22×D411yescharacteristic
811C22×D79C22×D411yescharacteristic
812Q8×C79—21no—
813Q8×C79—21no—
814Q8×C79—21no—
815Q8×C79—21no—
816Q8×C79—81no—
817D4×C79—22no—
818D4×C79—21no—
819D4×C79—21no—
820D4×C79—21no—
821D4×C79—21no—
822D4×C79—21no—
823D4×C79—21no—
824D4×C79—21no—
825D4×C79—42no—
826D4×C79—42no—
827D4×C79—42no—
828D4×C79—42no—
829D4×C79—42no—
830D4×C79—42no—
831D4×C79—81no—
832D4×C79—81no—
833D4×C79H(5,𝔽2)12yes—
834C2×C4×C79—21no—
835C2×C4×C79—21no—
836C2×C4×C79—21no—
837C2×C4×C79—21no—
838C2×C4×C79—21no—
839C2×C4×C79—21no—
840C2×C4×C79—21no—
841C2×C4×C79—21no—
842C2×C4×C79—42no—
843C2×C4×C79—81no—
844C2×C4×C79—81no—
845C2×C4×C79C22×D411yescharacteristic
846C2×C4×C79C22×D411yescharacteristic
847C2×C4×C79C22×D411yescharacteristic
848C2×C4×C79C22×D411yescharacteristic
849C2×C4×C79C2511yescharacteristic
850C22⋊D79—24no—
851C22⋊D79—22no—
852C22⋊D79—22no—
853C22⋊D79—42no—
854C22⋊D79—42no—
855C22⋊D79—42no—
856C22⋊D79—42no—
857C22⋊D79—42no—
858C22⋊D79—42no—
859C22⋊D79—42no—
860C22⋊D79—42no—
861C22⋊D79—42no—
862C22⋊D79—42no—
863C22⋊D79—42no—
864C22⋊D79—42no—
865C22⋊D79—42no—
866C22⋊D79—42no—
867C22⋊D79—81no—
868C22⋊D79—81no—
869C22⋊D79—81no—
870C22⋊D79—81no—
871C22⋊D79—81no—
872C2×Dic79—21no—
873C2×Dic79—21no—
874C2×Dic79—21no—
875C2×Dic79—21no—
876C2×Dic79—41no—
877C2×Dic79—41no—
878C2×Dic79—42no—
879C2×Dic79—81no—
880C2×Dic79—81no—
881C2×Dic79C22×D411yescharacteristic
882C2×Dic79C22×D411yescharacteristic
883C2×Dic79C22×D411yescharacteristic
884C2×Dic79C22×D411yescharacteristic
885C2×Dic79C22×D411yescharacteristic
886D316—22no—
887D316—21no—
888D316—21no—
889D316—21no—
890D316—21no—
891D316—21no—
892D316—21no—
893D316—21no—
894D316—42no—
895D316—42no—
896D316—42no—
897D316—42no—
898D316—42no—
899D316—42no—
900D316—81no—
901D316—81no—
902D316H(5,𝔽2)12yes—
903C4×D79—22no—
904C4×D79—21no—
905C4×D79—21no—
906C4×D79—21no—
907C4×D79—21no—
908C4×D79—21no—
909C4×D79—21no—
910C4×D79—41no—
911C4×D79—41no—
912C4×D79—41no—
913C4×D79—41no—
914C4×D79—41no—
915C4×D79—42no—
916C4×D79—42no—
917C4×D79—42no—
918C4×D79—42no—
919C4×D79—81no—
920C4×D79—81no—
921C8×C79—21no—
922C8×C79—21no—
923C8×C79—21no—
924C8×C79—21no—
925C79⋊C8—21no—
926C79⋊C8—21no—
927C79⋊C8—21no—
928C79⋊C8—21no—
929C22×C79—21no—
930C22×C79—21no—
931C22×C79—21no—
932C22×C79—22no—
933C22×C79—21no—
934C22×C79—21no—
935C22×C79—41no—
936C22×C79—41no—
937C22×C79—41no—
938C22×C79—41no—
939C22×C79—41no—
940C22×C79—41no—
941C22×C79—41no—
942C22×C79—41no—
943C22×C79—41no—
944C22×C79—41no—
945C22×C79—41no—
946C22×C79—84no—
947C22×C79—84no—
948C22×C79C2×AGL(1,ℤ/8)12yes—
949C22×C79C23×D411yescharacteristic
950C2×D79—21no—
951C2×D79—21no—
952C2×D79—21no—
953C2×D79—21no—
954C2×D79—21no—
955C2×D79—22no—
956C2×D79—21no—
957C2×D79—21no—
958C2×D79—44no—
959C2×D79—44no—
960C2×D79—48no—
961C2×D79—41no—
962C2×D79—41no—
963C2×D79—41no—
964C2×D79—41no—
965C2×D79—41no—
966C2×D79—41no—
967C2×D79—41no—
968C2×D79—41no—
969C2×D79—41no—
970C2×D79—41no—
971C2×D79—41no—
972C2×D79—84no—
973C2×D79—84no—
974C2×D79—84no—
975C2×D79—84no—
976C2×D79—84no—
977C2×D79—84no—
978C2×D79—84no—
979C2×D79—84no—
980C2×D79—162no—
981C2×D79C2×AGL(1,ℤ/8)12yes—
982C2×D79C2×AGL(1,ℤ/8)12yes—
983C4×C79—21no—
984C4×C79—21no—
985C4×C79—21no—
986C4×C79—21no—
987C4×C79—41no—
988C4×C79—41no—
989C4×C79—41no—
990C4×C79—41no—
991C4×C79C2×H(5,𝔽2)11yescharacteristic
992C4×C79C2×H(5,𝔽2)11yescharacteristic
993Dic79—21no—
994Dic79—21no—
995Dic79—21no—
996Dic79—21no—
997Dic79—21no—
998Dic79—41no—
999Dic79—41no—
1000Dic79—41no—
1001Dic79—41no—
1002#61571—791nomaximal, Sylow
1003C2×C79—22no—
1004C2×C79—41no—
1005C2×C79—42no—
1006C2×C79—81no—
1007C2×C79—81no—
1008C2×C79—81no—
1009C2×C79#348411yescharacteristic
1010C2×C79C22×AGL(1,ℤ/8)11yescharacteristic
1011C2×C79#358511yescharacteristic
1012D79—22no—
1013D79—22no—
1014D79—41no—
1015D79—42no—
1016D79—81no—
1017D79—81no—
1018D79—81no—
1019#3505—791no—
1020C2×D42—791no—
1021#3318—791no—
1022#3318—791no—
1023#3318—791no—
1024#3318—791no—
1025#3310—791no—
1026#3310—791no—
1027#3310—791no—
1028#3310—791no—
1029#3265—791no—
1030#3265—791no—
1031#3265—791no—
1032#3265D7911yescharacteristic, complemented
1033#3264—791no—
1034#3264—791no—
1035#3264—791no—
1036#3264—791no—
1037#3217—791no—
1038#3217—791no—
1039#3194—791no—
1040#3194—791no—
1041#3187—791no—
1042#3186—791no—
1043#3114—791no—
1044#3114—791no—
1045#3003—791no—
1046#3003—791no—
1047C2×#450—791no—
1048C2×#447—791no—
1049#2973—791no—
1050C79#6157111yescharacteristic, complemented, Sylow
1051C23×D4—791no—
1052C23×D4—791no—
1053C23×D4—1581no—
1054C2×AGL(1,ℤ/8)—791no—
1055C2×AGL(1,ℤ/8)—791no—
1056C2×AGL(1,ℤ/8)—791no—
1057C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1058C22×SD16—791no—
1059C22×SD16C2×D7911yescharacteristic, complemented
1060C22×D8—791no—
1061C22×D8—791no—
1062#553—791no—
1063#553—791no—
1064#553—1581no—
1065#553—1581no—
1066#552—791no—
1067#552—791no—
1068#551—1581no—
1069#551—1581no—
1070#548—791no—
1071#548C2×D7911yescharacteristic, complemented
1072#546—791no—
1073#546—791no—
1074D42—791no—
1075D42—791no—
1076D42—791no—
1077D42—791no—
1078D42—791no—
1079D42—791no—
1080D42—791no—
1081D42—1581no—
1082D42—1581no—
1083D42—1581no—
1084D42—1581no—
1085D42C2×D7911yescharacteristic, complemented
1086#539—1581no—
1087#538—1581no—
1088#534—1581no—
1089C2×#127—791no—
1090#529—791no—
1091#529—791no—
1092#525—791no—
1093#525—791no—
1094C2×C22⋊Q8—791no—
1095C2×#121—791no—
1096C2×#121—791no—
1097C2×#121—791no—
1098C2×#121—1581no—
1099C2×#120—1581no—
1100C2×#120—1581no—
1101#518—1581no—
1102C2×C4×D4—791no—
1103C2×C4×D4—791no—
1104#496—791no—
1105#496—791no—
1106#496—791no—
1107#496C2×D7911yescharacteristic, complemented
1108#490—791no—
1109#490—791no—
1110#490—791no—
1111#490—791no—
1112#483—791no—
1113#483—791no—
1114#482—791no—
1115#482—791no—
1116#482—791no—
1117#482—791no—
1118#481—791no—
1119#481—791no—
1120#480—791no—
1121#480—791no—
1122#480—791no—
1123#480—791no—
1124#478—791no—
1125#478—791no—
1126#478—791no—
1127#478—791no—
1128#469—791no—
1129#469—791no—
1130#469—791no—
1131#469—791no—
1132#468—791no—
1133#468—791no—
1134#468—791no—
1135#468C2×D7911yescharacteristic, complemented
1136#466—791no—
1137#466—791no—
1138#466—791no—
1139#466C2×D7911yescharacteristic, complemented
1140#465—791no—
1141#465—791no—
1142#465—791no—
1143#465—791no—
1144#463—791no—
1145#463—791no—
1146#463—791no—
1147#463C2×D7911yescharacteristic, complemented
1148#460—791no—
1149#460—791no—
1150#460—791no—
1151#460C2×D7911yescharacteristic, complemented
1152#459—791no—
1153#459—791no—
1154#459—791no—
1155#459—791no—
1156#450—791no—
1157#450—791no—
1158#450—791no—
1159#450—791no—
1160#450—791no—
1161#450—791no—
1162#450—791no—
1163#450—791no—
1164#450—791no—
1165#450—791no—
1166#450—791no—
1167#450—791no—
1168#450—791no—
1169#450C2×D7911yescharacteristic, complemented
1170#449—791no—
1171#449—791no—
1172#449—791no—
1173#449C2×D7911yescharacteristic, complemented
1174#448—791no—
1175#448C2×D7911yescharacteristic, complemented
1176#447—791no—
1177#447—791no—
1178#447—791no—
1179#447—791no—
1180#447—791no—
1181#447—791no—
1182#447—791no—
1183#447—791no—
1184#447—791no—
1185#447—791no—
1186#447—791no—
1187#447—791no—
1188#447—791no—
1189#447—791no—
1190#447—791no—
1191#447C2×D7911yescharacteristic, complemented
1192#442—791no—
1193#442—791no—
1194#442—791no—
1195#442—791no—
1196#440—791no—
1197#440—791no—
1198#440—791no—
1199#440C2×D7911yescharacteristic, complemented
1200#435—791no—
1201#435—791no—
1202#435—791no—
1203#435—791no—
1204#435—791no—
1205#435—791no—
1206#435—791no—
1207#435C2×D7911yescharacteristic, complemented
1208#432—791no—
1209#432—791no—
1210#418—791no—
1211#418—791no—
1212#418—791no—
1213#418—791no—
1214C2×#102—791no—
1215C2×#102—791no—
1216C2×#102—791no—
1217C2×#102—791no—
1218#407—791no—
1219#407—791no—
1220C2×C22⋊C8—791no—
1221C2×C22⋊C8—791no—
1222C25—1581no—
1223C25—1581no—
1224C2×#41—791no—
1225C2×#41C22×D7911yescharacteristic, complemented
1226C22×Q8C22×D7911yescharacteristic, complemented
1227C22×D4—21no—
1228C22×D4—3162no—
1229C22×D4—3162no—
1230C22×D4—3168no—
1231C22×D4—3162no—
1232C22×D4—3162no—
1233C22×D4—791no—
1234C22×D4—791no—
1235C22×D4—791no—
1236C22×D4—791no—
1237C22×D4—791no—
1238C22×D4—791no—
1239C22×D4—791no—
1240C22×D4—791no—
1241C22×D4—791no—
1242C22×D4—791no—
1243C22×D4—791no—
1244C22×D4—1581no—
1245C22×D4—1581no—
1246C22×D4—1581no—
1247C22×D4—1581no—
1248C22×D4—1581no—
1249C22×D4—1581no—
1250C22×D4—1581no—
1251C22×D4—1581no—
1252C22×D4—1581no—
1253C22×D4—1581no—
1254C22×D4—1581no—
1255C22×D4—1581no—
1256C22×D4—1581no—
1257C22×D4—1581no—
1258C22×D4—1581no—
1259C22×D4—1581no—
1260C22×D4—1581no—
1261C22×D4—1581no—
1262C22×D4C22×D7911yescharacteristic
1263C22×D4C22×D7911yescharacteristic
1264C23×C4—791no—
1265C23×C4—791no—
1266C23×C4—1581no—
1267AGL(1,ℤ/8)—42no—
1268AGL(1,ℤ/8)—3162no—
1269AGL(1,ℤ/8)—3162no—
1270AGL(1,ℤ/8)—3162no—
1271C2×SD16—42no—
1272C2×SD16—3162no—
1273C2×SD16—791no—
1274C2×SD16—791no—
1275C2×SD16—791no—
1276C2×SD16—791no—
1277C2×SD16—791no—
1278C2×SD16—791no—
1279C2×SD16C22×D7911yescharacteristic
1280C2×SD16C22×D7911yescharacteristic
1281C2×SD16C22×D7911yescharacteristic, complemented
1282C2×SD16C22×D7911yescharacteristic, complemented
1283C2×SD16C22×D7911yescharacteristic, complemented
1284C2×SD16C22×D7911yescharacteristic, complemented
1285C2×D8—3162no—
1286C2×D8—3162no—
1287C2×D8—791no—
1288C2×D8—791no—
1289C2×D8—791no—
1290C2×D8—791no—
1291C2×D8—791no—
1292C2×D8—791no—
1293C2×D8—791no—
1294C2×D8—791no—
1295C2×D8—791no—
1296C2×D8C22×D7911yescharacteristic
1297C2×D8C22×D7911yescharacteristic, complemented
1298C2×D8C22×D7911yescharacteristic, complemented
1299C2×M16—791no—
1300C2×M16—791no—
1301C2×M16—791no—
1302C2×M16C22×D7911yescharacteristic, complemented
1303C22×C8—791no—
1304C22×C8—791no—
1305C22×C8—791no—
1306C22×C8C22×D7911yescharacteristic, complemented
1307#127—791no—
1308#127—791no—
1309#127—791no—
1310#127—1581no—
1311#127—1581no—
1312#127C22×D7911yescharacteristic
1313#126—1581no—
1314#126—1581no—
1315#126—1581no—
1316#126—1581no—
1317#126—1581no—
1318#126—1581no—
1319#125—791no—
1320#125—791no—
1321#125—1581no—
1322#125—1581no—
1323#124—21no—
1324#124—791no—
1325#124—1581no—
1326#124C22×D7911yescharacteristic, complemented
1327#123—1581no—
1328#123—1581no—
1329#123—1581no—
1330#123—1581no—
1331#123—1581no—
1332#123—1581no—
1333#123—1581no—
1334#123—1581no—
1335#123—1581no—
1336#123—1581no—
1337C22⋊Q8—21no—
1338C22⋊Q8—791no—
1339C22⋊Q8—791no—
1340C22⋊Q8—791no—
1341C22⋊Q8—791no—
1342C22⋊Q8—791no—
1343C22⋊Q8—1581no—
1344C22⋊Q8—1581no—
1345C22⋊Q8—1581no—
1346C22⋊Q8C22×D7911yescharacteristic, complemented
1347#121—21no—
1348#121—21no—
1349#121—791no—
1350#121—791no—
1351#121—791no—
1352#121—791no—
1353#121—791no—
1354#121—791no—
1355#121—791no—
1356#121—791no—
1357#121—791no—
1358#121—791no—
1359#121—791no—
1360#121—1581no—
1361#121—1581no—
1362#121—1581no—
1363#121—1581no—
1364#121—1581no—
1365#121—1581no—
1366#121—1581no—
1367#121—1581no—
1368#121—1581no—
1369#121—1581no—
1370#121—1581no—
1371#121—1581no—
1372#121—1581no—
1373#121—1581no—
1374#121—1581no—
1375#121—1581no—
1376#121—1581no—
1377#121—1581no—
1378#121C22×D7911yescharacteristic
1379#121C22×D7911yescharacteristic
1380#121C22×D7911yescharacteristic, complemented
1381#120—21no—
1382#120—21no—
1383#120—1581no—
1384#120—1581no—
1385#120—1581no—
1386#120—1581no—
1387#120—1581no—
1388#120—1581no—
1389#120—1581no—
1390#120—1581no—
1391#120—1581no—
1392#120—1581no—
1393#120—1581no—
1394#120—1581no—
1395#120—1581no—
1396#120—1581no—
1397#120—1581no—
1398#120—1581no—
1399#120—1581no—
1400#120—1581no—
1401C4×Q8—791no—
1402C4×Q8C22×D7911yescharacteristic, complemented
1403C4×D4—21no—
1404C4×D4—791no—
1405C4×D4—791no—
1406C4×D4—791no—
1407C4×D4—791no—
1408C4×D4—791no—
1409C4×D4—791no—
1410C4×D4—791no—
1411C4×D4—791no—
1412C4×D4—791no—
1413C4×D4—791no—
1414C4×D4—791no—
1415C4×D4—791no—
1416C4×D4—1581no—
1417C4×D4—1581no—
1418C4×D4—1581no—
1419C4×D4—1581no—
1420C4×D4—1581no—
1421C4×D4—1581no—
1422C4×D4—1581no—
1423C4×D4—1581no—
1424C4×D4—1581no—
1425C4×D4—1581no—
1426C4×D4—1581no—
1427C4×D4C22×D7911yescharacteristic
1428C4×D4C22×D7911yescharacteristic
1429#117—791no—
1430#117—791no—
1431#117—1581no—
1432#117—1581no—
1433#117—1581no—
1434#117—1581no—
1435C2×C4⋊C4—791no—
1436C2×C4⋊C4—791no—
1437C2×C4⋊C4—791no—
1438C2×C4⋊C4—791no—
1439C2×C4⋊C4—1581no—
1440C2×C22⋊C4—791no—
1441C2×C22⋊C4—791no—
1442C2×C22⋊C4—1581no—
1443C2×C22⋊C4—1581no—
1444C2×C22⋊C4—1581no—
1445C2×C22⋊C4—1581no—
1446C2×C22⋊C4—1581no—
1447C2×C22⋊C4—1581no—
1448C2×C22⋊C4—1581no—
1449C2×C42—791no—
1450#107—791no—
1451#107—791no—
1452#107—791no—
1453#107C22×D7911yescharacteristic, complemented
1454#106—791no—
1455#106—791no—
1456#106—791no—
1457#106—791no—
1458C4⋊C8—791no—
1459C4⋊C8—791no—
1460C4⋊C8—791no—
1461C4⋊C8C22×D7911yescharacteristic, complemented
1462#103—791no—
1463#103—791no—
1464#103C22×D7911yescharacteristic, complemented
1465#103C22×D7911yescharacteristic, complemented
1466#102—791no—
1467#102—791no—
1468#102—791no—
1469#102—791no—
1470#102—791no—
1471#102—791no—
1472#102—791no—
1473#102—791no—
1474#102—791no—
1475#102—791no—
1476#102—791no—
1477#102—791no—
1478#102—791no—
1479#102—791no—
1480#102—791no—
1481#102—791no—
1482#102—791no—
1483#102—791no—
1484#102—791no—
1485#102—791no—
1486#102—791no—
1487#102—791no—
1488#102—791no—
1489#102—791no—
1490#102C22×D7911yescharacteristic
1491#102C22×D7911yescharacteristic, complemented
1492#102C22×D7911yescharacteristic, complemented
1493#102C22×D7911yescharacteristic, complemented
1494C22⋊C8—791no—
1495C22⋊C8—791no—
1496C22⋊C8—791no—
1497C22⋊C8—791no—
1498C22⋊C8—791no—
1499C22⋊C8—791no—
1500C22⋊C8—791no—
1501C22⋊C8—791no—
1502C22⋊C8—791no—
1503C22⋊C8—791no—
1504C22⋊C8C22×D7911yescharacteristic, complemented
1505C22⋊C8C22×D7911yescharacteristic, complemented
1506#97—791no—
1507#97—791no—
1508#97—791no—
1509#97C22×D7911yescharacteristic, complemented
1510C24—21no—
1511C24—21no—
1512C24—3164no—
1513C24—3164no—
1514C24—3164no—
1515C24—3164no—
1516C24—791no—
1517C24—791no—
1518C24—6322no—
1519C24—6322no—
1520C24—1581no—
1521C24—1581no—
1522C24—1581no—
1523C24—1581no—
1524C24—1581no—
1525C24—1581no—
1526C24—1581no—
1527C24—1581no—
1528C24—1581no—
1529C24—1581no—
1530#41—41no—
1531#41—41no—
1532#41—3161no—
1533#41—3161no—
1534C2×Q8—21no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8C23×D7911yescharacteristic
1538C2×Q8C23×D7911yescharacteristic
1539C2×D4—22no—
1540C2×D4—22no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—44no—
1552C2×D4—3161no—
1553C2×D4—3161no—
1554C2×D4—3164no—
1555C2×D4—3164no—
1556C2×D4—3164no—
1557C2×D4—3164no—
1558C2×D4—3164no—
1559C2×D4—3164no—
1560C2×D4—3164no—
1561C2×D4—3164no—
1562C2×D4—3164no—
1563C2×D4—3164no—
1564C2×D4—3164no—
1565C2×D4—3164no—
1566C2×D4—3164no—
1567C2×D4—3164no—
1568C2×D4—3164no—
1569C2×D4—3164no—
1570C2×D4—3161no—
1571C2×D4—3161no—
1572C2×D4—3161no—
1573C2×D4—3161no—
1574C2×D4—3161no—
1575C2×D4—3161no—
1576C2×D4—3161no—
1577C2×D4—3161no—
1578C2×D4—3161no—
1579C2×D4—3161no—
1580C2×D4—3164no—
1581C2×D4—791no—
1582C2×D4—791no—
1583C2×D4—791no—
1584C2×D4—791no—
1585C2×D4—791no—
1586C2×D4—791no—
1587C2×D4—791no—
1588C2×D4—6322no—
1589C2×D4—1581no—
1590C2×D4—1581no—
1591C2×D4—1581no—
1592C2×D4—1582no—
1593C2×D4—1582no—
1594C2×D4—1581no—
1595C2×D4—1581no—
1596C2×D4—1581no—
1597C2×D4—1581no—
1598C2×D4—1581no—
1599C2×D4—1581no—
1600C2×D4—1581no—
1601C2×D4—1581no—
1602C2×D4—1581no—
1603C2×D4—1581no—
1604C2×D4—1581no—
1605C2×D4—1581no—
1606C2×D4—1581no—
1607C2×D4—1582no—
1608C2×D4—1582no—
1609C2×D4—1582no—
1610C2×D4—1584no—
1611C2×D4—1581no—
1612C2×D4—1581no—
1613C2×D4—1581no—
1614C2×D4—1581no—
1615C2×D4—1581no—
1616C2×D4—1581no—
1617C2×D4—1582no—
1618C2×D4—1582no—
1619C2×D4—1581no—
1620C2×D4—1581no—
1621C2×D4—1582no—
1622C2×D4—1581no—
1623C2×D4—1581no—
1624C2×D4—1581no—
1625C2×D4—1581no—
1626C2×D4D4×D7911yescharacteristic
1627C2×D4C23×D7911yescharacteristic
1628C2×D4C23×D7911yescharacteristic
1629C2×D4C23×D7911yescharacteristic
1630C2×D4C23×D7911yescharacteristic
1631C22×C4—21no—
1632C22×C4—21no—
1633C22×C4—21no—
1634C22×C4—3161no—
1635C22×C4—3161no—
1636C22×C4—3161no—
1637C22×C4—3161no—
1638C22×C4—3164no—
1639C22×C4—791no—
1640C22×C4—791no—
1641C22×C4—791no—
1642C22×C4—791no—
1643C22×C4—791no—
1644C22×C4—791no—
1645C22×C4—791no—
1646C22×C4—791no—
1647C22×C4—791no—
1648C22×C4—791no—
1649C22×C4—791no—
1650C22×C4—1581no—
1651C22×C4—1581no—
1652C22×C4—1581no—
1653C22×C4—1581no—
1654C22×C4—1581no—
1655C22×C4—1581no—
1656C22×C4—1581no—
1657C22×C4—1581no—
1658C22×C4—1581no—
1659C22×C4C23×D7911yescharacteristic
1660C22×C4C23×D7911yescharacteristic
1661SD16—22no—
1662SD16—22no—
1663SD16—41no—
1664SD16—41no—
1665SD16—41no—
1666SD16—41no—
1667SD16—3161no—
1668SD16—3161no—
1669SD16—3161no—
1670SD16—3161no—
1671SD16—1582no—
1672SD16—1582no—
1673D8—22no—
1674D8—41no—
1675D8—41no—
1676D8—3161no—
1677D8—3161no—
1678D8—3161no—
1679D8—3161no—
1680D8—3161no—
1681D8—3161no—
1682D8—1582no—
1683D8—1582no—
1684D8—1582no—
1685M16—41no—
1686M16—3161no—
1687M16—3161no—
1688M16—3161no—
1689C2×C8—41no—
1690C2×C8—3161no—
1691C2×C8—3161no—
1692C2×C8—3161no—
1693C2×C8—791no—
1694C2×C8—791no—
1695C2×C8—791no—
1696C2×C8—791no—
1697C2×C8C23×D7911yescharacteristic
1698C2×C8C23×D7911yescharacteristic
1699C2×C8C23×D7911yescharacteristic
1700C2×C8C23×D7911yescharacteristic
1701C4⋊C4—21no—
1702C4⋊C4—21no—
1703C4⋊C4—791no—
1704C4⋊C4—791no—
1705C4⋊C4—791no—
1706C4⋊C4—791no—
1707C4⋊C4—791no—
1708C4⋊C4—791no—
1709C4⋊C4—791no—
1710C4⋊C4—1581no—
1711C4⋊C4—1581no—
1712C4⋊C4—1581no—
1713C4⋊C4—1581no—
1714C4⋊C4—1581no—
1715C4⋊C4—1581no—
1716C4⋊C4—1581no—
1717C4⋊C4—1581no—
1718C4⋊C4—1581no—
1719C4⋊C4—1581no—
1720C4⋊C4—1581no—
1721C4⋊C4—1581no—
1722C4⋊C4—1581no—
1723C4⋊C4D4×D7911yescharacteristic
1724C4⋊C4C23×D7911yescharacteristic
1725C4⋊C4C23×D7911yescharacteristic
1726C22⋊C4—21no—
1727C22⋊C4—21no—
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—21no—
1732C22⋊C4—21no—
1733C22⋊C4—791no—
1734C22⋊C4—791no—
1735C22⋊C4—791no—
1736C22⋊C4—791no—
1737C22⋊C4—791no—
1738C22⋊C4—791no—
1739C22⋊C4—1581no—
1740C22⋊C4—1581no—
1741C22⋊C4—1581no—
1742C22⋊C4—1581no—
1743C22⋊C4—1581no—
1744C22⋊C4—1581no—
1745C22⋊C4—1581no—
1746C22⋊C4—1581no—
1747C22⋊C4—1581no—
1748C22⋊C4—1581no—
1749C22⋊C4—1581no—
1750C22⋊C4—1581no—
1751C22⋊C4—1581no—
1752C22⋊C4—1581no—
1753C22⋊C4—1581no—
1754C22⋊C4—1581no—
1755C22⋊C4—1581no—
1756C22⋊C4—1581no—
1757C22⋊C4—1581no—
1758C22⋊C4—1581no—
1759C22⋊C4—1581no—
1760C22⋊C4—1581no—
1761C22⋊C4—1581no—
1762C22⋊C4—1581no—
1763C22⋊C4—1581no—
1764C22⋊C4D4×D7911yescharacteristic
1765C22⋊C4D4×D7911yescharacteristic
1766C42—21no—
1767C42—791no—
1768C42—791no—
1769C42—791no—
1770C42—1581no—
1771C42—1581no—
1772C42—1581no—
1773C42C23×D7911yescharacteristic
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—42no—
1779C23—42no—
1780C23—42no—
1781C23—42no—
1782C23—81no—
1783C23—81no—
1784C23—3161no—
1785C23—3161no—
1786C23—3161no—
1787C23—3161no—
1788C23—3162no—
1789C23—3162no—
1790C23—3162no—
1791C23—3162no—
1792C23—3162no—
1793C23—3162no—
1794C23—3162no—
1795C23—3162no—
1796C23—3162no—
1797C23—3162no—
1798C23—3162no—
1799C23—3162no—
1800C23—3162no—
1801C23—3162no—
1802C23—3162no—
1803C23—3162no—
1804C23—3162no—
1805C23—3162no—
1806C23—3162no—
1807C23—3162no—
1808C23—3162no—
1809C23—794no—
1810C23—791no—
1811C23—791no—
1812C23—791no—
1813C23—6321no—
1814C23—6321no—
1815C23—6321no—
1816C23—6321no—
1817C23—6321no—
1818C23—6321no—
1819C23—6321no—
1820C23—6321no—
1821C23—63216no—
1822C23—63216no—
1823C23—1582no—
1824C23—1584no—
1825C23—1581no—
1826C23—1581no—
1827C23—1581no—
1828C23—1581no—
1829C23C2×D4×D7911yescharacteristic
1830C23C2×D4×D7911yescharacteristic
1831Q8—21no—
1832Q8—21no—
1833Q8—21no—
1834Q8—21no—
1835Q8—81no—
1836D4—22no—
1837D4—21no—
1838D4—21no—
1839D4—21no—
1840D4—21no—
1841D4—21no—
1842D4—21no—
1843D4—21no—
1844D4—42no—
1845D4—42no—
1846D4—42no—
1847D4—42no—
1848D4—42no—
1849D4—42no—
1850D4—81no—
1851D4—81no—
1852D4—3162no—
1853D4—3162no—
1854D4—3162no—
1855D4—3162no—
1856D4—3162no—
1857D4—3162no—
1858D4—3162no—
1859D4—3162no—
1860D4—3162no—
1861D4—3162no—
1862D4—3162no—
1863D4—3162no—
1864D4—3162no—
1865D4—3162no—
1866D4—3162no—
1867D4—3162no—
1868D4—3162no—
1869D4—3162no—
1870D4—3162no—
1871D4—3162no—
1872D4—792no—
1873D4—6321no—
1874D4—6321no—
1875D4—6321no—
1876D4—6321no—
1877D4—6321no—
1878D4—6321no—
1879D4—6321no—
1880D4—1582no—
1881D4—1582no—
1882D4—1584no—
1883D4—1582no—
1884D4—1581no—
1885D4—1581no—
1886D4—1581no—
1887D4—1581no—
1888D4—1581no—
1889D4—1581no—
1890D4—1581no—
1891D4#1457920612yes—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—42no—
1901C2×C4—81no—
1902C2×C4—81no—
1903C2×C4—3162no—
1904C2×C4—3161no—
1905C2×C4—3161no—
1906C2×C4—3161no—
1907C2×C4—3161no—
1908C2×C4—3161no—
1909C2×C4—3162no—
1910C2×C4—3162no—
1911C2×C4—3162no—
1912C2×C4—3162no—
1913C2×C4—3161no—
1914C2×C4—3161no—
1915C2×C4—791no—
1916C2×C4—791no—
1917C2×C4—791no—
1918C2×C4—791no—
1919C2×C4—791no—
1920C2×C4—6321no—
1921C2×C4—6321no—
1922C2×C4—6321no—
1923C2×C4—6321no—
1924C2×C4—1582no—
1925C2×C4—1581no—
1926C2×C4—1581no—
1927C2×C4—1581no—
1928C2×C4—1581no—
1929C2×C4—1581no—
1930C2×C4—1581no—
1931C2×C4—1581no—
1932C2×C4—1581no—
1933C2×C4—1581no—
1934C2×C4—1581no—
1935C2×C4C2×D4×D7911yescharacteristic
1936C2×C4C2×D4×D7911yescharacteristic
1937C2×C4C2×D4×D7911yescharacteristic
1938C2×C4C2×D4×D7911yescharacteristic
1939C2×C4C24×D7911yescharacteristic
1940C8—21no—
1941C8—21no—
1942C8—21no—
1943C8—21no—
1944C8—1581no—
1945C8—1581no—
1946C8—1581no—
1947C8—1581no—
1948C22—21no—
1949C22—21no—
1950C22—21no—
1951C22—22no—
1952C22—21no—
1953C22—21no—
1954C22—41no—
1955C22—41no—
1956C22—41no—
1957C22—41no—
1958C22—41no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—84no—
1966C22—84no—
1967C22—3164no—
1968C22—3164no—
1969C22—3168no—
1970C22—3161no—
1971C22—3161no—
1972C22—3161no—
1973C22—3161no—
1974C22—3161no—
1975C22—3161no—
1976C22—3161no—
1977C22—3161no—
1978C22—3161no—
1979C22—3161no—
1980C22—3161no—
1981C22—792no—
1982C22—792no—
1983C22—6324no—
1984C22—6324no—
1985C22—6324no—
1986C22—6324no—
1987C22—6324no—
1988C22—6324no—
1989C22—6324no—
1990C22—6324no—
1991C22—1581no—
1992C22—1582no—
1993C22—1581no—
1994C22—1581no—
1995C22—1581no—
1996C22—1581no—
1997C22—1581no—
1998C22—1581no—
1999C22—12642no—
2000C22AGL(1,ℤ/8)×D7912yes—
2001C22C22×D4×D7911yescharacteristic
2002C4—21no—
2003C4—21no—
2004C4—21no—
2005C4—21no—
2006C4—41no—
2007C4—41no—
2008C4—41no—
2009C4—41no—
2010C4—3161no—
2011C4—3161no—
2012C4—3161no—
2013C4—3161no—
2014C4—1581no—
2015C4—1581no—
2016C4—1581no—
2017C4—1581no—
2018C4—1581no—
2019C4H(5,𝔽2)×D7911yescharacteristic
2020C4C2×#1457920611yescharacteristic
2021C2—22no—
2022C2—41no—
2023C2—42no—
2024C2—81no—
2025C2—81no—
2026C2—81no—
2027C2—3162no—
2028C2—3161no—
2029C2—6321no—
2030C2—6321no—
2031C2—6321no—
2032C2—1582no—
2033C2—1582no—
2034C2#2377702811yescharacteristic
2035C2C2×AGL(1,ℤ/8)×D7911yescharacteristic
2036C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3265C2
socleC22×C79C23×D4
hypercenter#3265D79
hypocenterC79#61571
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. #23777236C2semidirect
2. D42×D79C2semidirect
3. #23775547C2semidirect
4. #23775545C2semidirect
5. #23775543C2semidirect
6. #23775541C2semidirect
7. #23775428C2semidirect
8. #23775426C2semidirect
9. #23775416C2semidirect
10. #23775414C2semidirect
11. #23774896C2semidirect
12. #23774895C2semidirect
13. #23774888C2semidirect
14. #23774886C2semidirect
15. #23774883C2semidirect
16. #23774879C2semidirect
17. #23774874C2semidirect
18. #23774422C2semidirect
19. #23774414C2semidirect
20. #23774215C2semidirect
21. #23774212C2semidirect
22. #23774155C2semidirect
23. #23774147C2semidirect
24. #23773542C2semidirect
25. #23773537C2semidirect
26. #23772628C2semidirect
27. #23772625C2semidirect
28. C2×#19098712C2semidirect
29. #447×D79C2semidirect
30. #23772425C2semidirect
31. C79×#3265C2semidirect
34. C22×D4×D79C22semidirect
35. C2×#14579188C22semidirect
36. C2×#14579188C22semidirect
37. C2×#14579186C22semidirect
38. C22×#11929611C22semidirect
39. C2×D8×D79C22semidirect
40. C2×D8×D79C22semidirect
41. #19099265C22semidirect
43. #19099259C22semidirect
45. #19099254C22semidirect
46. #19099247C22semidirect
49. #19099224C22semidirect
50. #19099206C22semidirect
51. #19099201C22semidirect
53. D4×D316C22semidirect
57. #19099197C22semidirect
60. D4×C22⋊D79C22semidirect
66. #127×D79C22semidirect
67. #19099100C22semidirect
68. #19099092C22semidirect
69. #19099076C22semidirect
70. #19099070C22semidirect
71. C2×#14579137C22semidirect
74. #121×D79C22semidirect
75. #121×D79C22semidirect
80. C4×D4×D79C22semidirect
81. #19098953C22semidirect
82. #19098949C22semidirect
83. #19098949C22semidirect
84. #19098928C22semidirect
85. #19098927C22semidirect
86. #19098926C22semidirect
87. #19098926C22semidirect
88. #19098892C22semidirect
89. #19098892C22semidirect
90. #19098890C22semidirect
91. #19098888C22semidirect
92. #19098886C22semidirect
93. #19098884C22semidirect
94. #19098882C22semidirect
95. #19098879C22semidirect
96. #19098878C22semidirect
97. #19098878C22semidirect
98. #19098875C22semidirect
99. #19098875C22semidirect
100. #19098866C22semidirect
101. #19098865C22semidirect
102. #19098864C22semidirect
103. #19098863C22semidirect
104. #19098816C22semidirect
105. #19098815C22semidirect
106. #19098814C22semidirect
107. #19098813C22semidirect
108. #19098812C22semidirect
109. #19098811C22semidirect
110. #19098806C22semidirect
111. #19098799C22semidirect
112. #19098797C22semidirect
113. #19098797C22semidirect
114. #19098795C22semidirect
115. #19098795C22semidirect
116. #19098789C22semidirect
117. #19098789C22semidirect
118. #19098781C22semidirect
119. #19098780C22semidirect
120. #19098775C22semidirect
121. #19098763C22semidirect
122. #19098761C22semidirect
123. #19098761C22semidirect
124. #19098759C22semidirect
125. #19098756C22semidirect
126. #19098756C22semidirect
127. #19098755C22semidirect
128. #19098713C22semidirect
129. #19098712C22semidirect
130. #19098712C22semidirect
131. #19098712C22semidirect
132. #19098712C22semidirect
133. #19098712C22semidirect
134. #19098712C22semidirect
135. #19098712C22semidirect
136. #19098712C22semidirect
137. #19098712C22semidirect
138. #19098712C22semidirect
139. #19098712C22semidirect
140. #19098712C22semidirect
141. #19098711C22semidirect
142. #19098708C22semidirect
143. #19098707C22semidirect
144. #19098702C22semidirect
145. #19098699C22semidirect
146. #19098699C22semidirect
148. #19098698C22semidirect
149. #19098698C22semidirect
150. #19098698C22semidirect
151. #19098697C22semidirect
152. #19098697C22semidirect
153. #19098696C22semidirect
155. #19098695C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098695C22semidirect
160. #19098676C22semidirect
161. #19098675C22semidirect
162. #19098673C22semidirect
163. #19098672C22semidirect
164. #19098666C22semidirect
165. #19098664C22semidirect
166. #19098661C22semidirect
167. #19098637C22semidirect
168. #19098636C22semidirect
169. #19098635C22semidirect
170. #19098634C22semidirect
171. #19098633C22semidirect
172. #19098632C22semidirect
173. #19098631C22semidirect
174. #19098619C22semidirect
175. #19098618C22semidirect
176. #19098569C22semidirect
177. #19098568C22semidirect
178. #19098566C22semidirect
179. #19098566C22semidirect
180. C2×#14579083C22semidirect
181. C2×#14579082C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
184. #19098526C22semidirect
185. #19098525C22semidirect
186. C2×(C2×D79)⋊C8C22semidirect
187. C22⋊C8×D79C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
191. D42×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
205. C2×#11929625C23semidirect
239. C2×D4×D79C23semidirect
249. C2×#11929611C23semidirect
250. C2×#11929611C23semidirect
251. C2×#11929611C23semidirect
252. C2×#11929611C23semidirect
254. C2×D632C23semidirect
255. C2×D632C23semidirect
258. C2×#11929609C23semidirect
259. C2×#11929609C23semidirect
260. C2×#11929609C23semidirect
261. C2×#11929609C23semidirect
264. C2×#11929608C23semidirect
265. C2×#11929607C23semidirect
266. C2×#11929607C23semidirect
267. C22×C79⋊C8C23semidirect
268. C2×C8×D79C23semidirect
269. C2×C8×D79C23semidirect
281. #14579153C23semidirect
282. #14579152C23semidirect
286. #14579150C23semidirect
302. #14579137C23semidirect
303. #14579137C23semidirect
304. #14579137C23semidirect
313. #14579135C23semidirect
314. #14579135C23semidirect
333. #14579132C23semidirect
352. Q8×Dic79C23semidirect
356. C4×D316C23semidirect
360. D4×Dic79C23semidirect
376. #14579120C23semidirect
378. #14579119C23semidirect
382. C2×C4⋊Dic79C23semidirect
386. C4⋊C4×D79C23semidirect
397. #14579095C23semidirect
398. #14579094C23semidirect
399. #14579094C23semidirect
400. #14579093C23semidirect
401. #14579093C23semidirect
402. #14579092C23semidirect
403. #14579092C23semidirect
404. C4⋊(C79⋊C8)C23semidirect
405. Dic79⋊C8C23semidirect
406. Dic79⋊C8C23semidirect
407. #14579085C23semidirect
408. #14579085C23semidirect
412. #14579083C23semidirect
413. #14579083C23semidirect
414. #14579083C23semidirect
415. #14579083C23semidirect
416. #14579083C23semidirect
417. #14579083C23semidirect
418. #14579083C23semidirect
422. #14579082C23semidirect
423. #14579082C23semidirect
424. #14579082C23semidirect
425. #14579082C23semidirect
426. #14579082C23semidirect
427. #14579082C23semidirect
428. #14579082C23semidirect
430. #14579081C23semidirect
431. #14579081C23semidirect
432. #14579081C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
434. C22⋊(C79⋊C8)C23semidirect
439. (C2×D79)⋊C8C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. (C2×D79)⋊C8C23semidirect
443. #14579072C23semidirect
444. #14579071C23semidirect
445. #14579071C23semidirect
446. C2×#41×C79C23semidirect
447. C22×Q8×C79C23semidirect
455. C2×SD16×C79C23semidirect
456. C2×SD16×C79C23semidirect
457. C2×SD16×C79C23semidirect
458. C2×SD16×C79C23semidirect
460. C2×D8×C79C23semidirect
461. C2×D8×C79C23semidirect
462. C2×M16×C79C23semidirect
463. C22×C8×C79C23semidirect
466. #124×C79C23semidirect
468. C22⋊Q8×C79C23semidirect
473. #121×C79C23semidirect
476. C4×Q8×C79C23semidirect
480. #107×C79C23semidirect
481. C4⋊C8×C79C23semidirect
482. #103×C79C23semidirect
483. #103×C79C23semidirect
485. #102×C79C23semidirect
486. #102×C79C23semidirect
487. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C22⋊C8×C79C23semidirect
490. #97×C79C23semidirect
808. C22×D79AGL(1,ℤ/8)semidirect
1032. #3265D79semidirect
1050. C79#61571semidirect
1057. C2×AGL(1,ℤ/8)C2×D79semidirect
1059. C22×SD16C2×D79semidirect
1071. #548C2×D79semidirect
1085. D42C2×D79semidirect
1107. #496C2×D79semidirect
1135. #468C2×D79semidirect
1139. #466C2×D79semidirect
1147. #463C2×D79semidirect
1151. #460C2×D79semidirect
1169. #450C2×D79semidirect
1173. #449C2×D79semidirect
1175. #448C2×D79semidirect
1191. #447C2×D79semidirect
1199. #440C2×D79semidirect
1207. #435C2×D79semidirect
1225. C2×#41C22×D79semidirect
1226. C22×Q8C22×D79semidirect
1281. C2×SD16C22×D79semidirect
1282. C2×SD16C22×D79semidirect
1283. C2×SD16C22×D79semidirect
1284. C2×SD16C22×D79semidirect
1297. C2×D8C22×D79semidirect
1298. C2×D8C22×D79semidirect
1302. C2×M16C22×D79semidirect
1306. C22×C8C22×D79semidirect
1326. #124C22×D79semidirect
1346. C22⋊Q8C22×D79semidirect
1380. #121C22×D79semidirect
1402. C4×Q8C22×D79semidirect
1453. #107C22×D79semidirect
1461. C4⋊C8C22×D79semidirect
1464. #103C22×D79semidirect
1465. #103C22×D79semidirect
1491. #102C22×D79semidirect
1492. #102C22×D79semidirect
1493. #102C22×D79semidirect
1504. C22⋊C8C22×D79semidirect
1505. C22⋊C8C22×D79semidirect
1509. #97C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237772362
D42×D792
#237755472
#237755452
#237755432
#237755412
#237754282
#237754262
#237754162
#237754142
#237748962
#237748952
#237748882
#237748862
#237748832
#237748792
#237748742
#237744222
#237744142
#237742152
#237742122
#237741552
#237741472
#237735422
#237735372
#237726282
#237726252
C2×#190987122
#447×D792
#237724252
C79×#32652
#6157179