Finite Group Databasebeta

← #35173087

Subgroups — #35173087

Order 20224.

2514 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777156C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic, complemented
3#23775368C211yesmaximal, characteristic, complemented
4#23775367C211yesmaximal, characteristic, complemented
5#23775366C211yesmaximal, characteristic, complemented
6#23775365C211yesmaximal, characteristic, complemented
7#23775363C211yesmaximal, characteristic, complemented
8#23775361C211yesmaximal, characteristic, complemented
9#23775356C211yesmaximal, characteristic, complemented
10#23775354C211yesmaximal, characteristic, complemented
11#23774884C211yesmaximal, characteristic, complemented
12#23774880C211yesmaximal, characteristic, complemented
13#23774879C211yesmaximal, characteristic, complemented
14#23774878C211yesmaximal, characteristic, complemented
15#23774876C211yesmaximal, characteristic, complemented
16#23774875C211yesmaximal, characteristic, complemented
17#23774874C211yesmaximal, characteristic, complemented
18#23774385C211yesmaximal, characteristic, complemented
19#23774382C211yesmaximal, characteristic, complemented
20#23774198C211yesmaximal, characteristic, complemented
21#23774196C211yesmaximal, characteristic, complemented
22#23774154C211yesmaximal, characteristic, complemented
23#23774152C211yesmaximal, characteristic, complemented
24#23773490C211yesmaximal, characteristic, complemented
25#23773489C211yesmaximal, characteristic, complemented
26#23772649C211yesmaximal, characteristic, complemented
27#23772648C211yesmaximal, characteristic, complemented
28C2×#19098695C211yesmaximal, characteristic, complemented
29#447×D79C211yesmaximal, characteristic, complemented
30#23772425C211yesmaximal, characteristic, complemented
31C79×#3264C211yesmaximal, characteristic, complemented
32C2×#14579206—21no—
33C2×#41×D79C2211yescharacteristic, complemented
34C22×D4×D79C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic, complemented
36C2×#14579187C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C22×#11929609C2211yescharacteristic, complemented
39C2×D8×D79C2211yescharacteristic, complemented
40C2×D8×D79C2211yescharacteristic, complemented
41#19099218C2211yescharacteristic, complemented
42#19099217C2211yescharacteristic, complemented
43#19099213C2211yescharacteristic, complemented
44#19099213C2211yescharacteristic, complemented
45#19099210—21no—
46#19099210C2211yescharacteristic, complemented
47#19099209C2211yescharacteristic, complemented
48#19099208C2211yescharacteristic, complemented
49#19099207—21no—
50#19099207C2211yescharacteristic, complemented
51#19099206C2211yescharacteristic, complemented
52#19099205—21no—
53#19099204C2211yescharacteristic, complemented
54#19099203—21no—
55#19099202—21no—
56#19099201C2211yescharacteristic, complemented
57#19099200—21no—
58#19099200—21no—
59#19099200—21no—
60#19099198C2211yescharacteristic, complemented
61D4×C22⋊D79C2211yescharacteristic, complemented
62D4×C22⋊D79C2211yescharacteristic, complemented
63#19099142—21no—
64#19099123—21no—
65#19099123—21no—
66#19099111C2211yescharacteristic, complemented
67#19099110C2211yescharacteristic, complemented
68#124×D79C2211yescharacteristic, complemented
69#123×D79—21no—
70C22⋊Q8×D79C2211yescharacteristic, complemented
71C2×#14579132C2211yescharacteristic
72C2×#14579132C2211yescharacteristic, complemented
73#121×D79—21no—
74#121×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic, complemented
76#121×D79C2211yescharacteristic, complemented
77#120×D79—21no—
78C4×D4×D79C2211yescharacteristic
79C4×D4×D79C2211yescharacteristic, complemented
80C2×C22⋊C4×D79—21no—
81#19098951C2211yescharacteristic, complemented
82#19098950C2211yescharacteristic, complemented
83#19098949C2211yescharacteristic, complemented
84#19098924C2211yescharacteristic, complemented
85#19098923C2211yescharacteristic, complemented
86#19098922C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098895C2211yescharacteristic, complemented
89#19098894C2211yescharacteristic, complemented
90#19098892C2211yescharacteristic, complemented
91#19098891C2211yescharacteristic, complemented
92#19098883C2211yescharacteristic, complemented
93#19098883C2211yescharacteristic, complemented
94#19098882C2211yescharacteristic, complemented
95#19098880C2211yescharacteristic, complemented
96#19098880C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098879C2211yescharacteristic, complemented
100#19098854C2211yescharacteristic, complemented
101#19098853C2211yescharacteristic, complemented
102#19098852C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098816C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098815C2211yescharacteristic, complemented
107#19098814C2211yescharacteristic, complemented
108#19098814C2211yescharacteristic, complemented
109#19098813C2211yescharacteristic, complemented
110#19098813C2211yescharacteristic, complemented
111#19098794C2211yescharacteristic, complemented
112#19098792C2211yescharacteristic, complemented
113#19098791C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098780C2211yescharacteristic, complemented
119#19098780C2211yescharacteristic, complemented
120#19098779C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic, complemented
122#19098776C2211yescharacteristic, complemented
123#19098776C2211yescharacteristic, complemented
124#19098775C2211yescharacteristic, complemented
125#19098757C2211yescharacteristic, complemented
126#19098756C2211yescharacteristic, complemented
127#19098755C2211yescharacteristic, complemented
128#19098715C2211yescharacteristic, complemented
129#19098714C2211yescharacteristic, complemented
130#19098712C2211yescharacteristic, complemented
131#19098710C2211yescharacteristic, complemented
132#19098708C2211yescharacteristic, complemented
133#19098707C2211yescharacteristic, complemented
134#19098707C2211yescharacteristic, complemented
135#19098706C2211yescharacteristic, complemented
136#19098705C2211yescharacteristic, complemented
137#19098705C2211yescharacteristic, complemented
138#19098703C2211yescharacteristic, complemented
139#19098700C2211yescharacteristic, complemented
140#19098700C2211yescharacteristic, complemented
141#19098700C2211yescharacteristic, complemented
142#19098699C2211yescharacteristic, complemented
143#19098698C2211yescharacteristic, complemented
144#19098698C2211yescharacteristic, complemented
145#19098698C2211yescharacteristic, complemented
146#19098697C2211yescharacteristic, complemented
147#19098697C2211yescharacteristic, complemented
148#19098696C2211yescharacteristic, complemented
149#19098695C2211yescharacteristic, complemented
150#19098695C2211yescharacteristic, complemented
151#19098695C2211yescharacteristic, complemented
152#19098695C2211yescharacteristic, complemented
153#19098695C2211yescharacteristic, complemented
154#19098695C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098676C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098675C2211yescharacteristic, complemented
163#19098673C2211yescharacteristic, complemented
164#19098673C2211yescharacteristic, complemented
165#19098672C2211yescharacteristic, complemented
166#19098672C2211yescharacteristic, 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#19098565C2211yescharacteristic, complemented
177#19098564C2211yescharacteristic, complemented
178#19098563C2211yescharacteristic, complemented
179#19098561C2211yescharacteristic, 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×D8×C79C2211yescharacteristic, complemented
190#546×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic, complemented
192#496×C79C2211yescharacteristic, complemented
193#469×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#449×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#442×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579206—48no—
205C2×#11929625C2311yescharacteristic
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—21no—
209C2×#11929624C2311yescharacteristic
210C2×#11929623—21no—
211C2×#11929623—21no—
212C2×#11929623—21no—
213C2×#11929623—21no—
214C2×#11929623—21no—
215C2×#11929623C2311yescharacteristic
216#41×D79—42no—
217#41×D79—42no—
218C2×Q8×D79C2311yescharacteristic
219C22×D316C2311yescharacteristic
220C22×C22⋊D79—21no—
221C22×C22⋊D79—21no—
222C22×C22⋊D79—21no—
223C22×C22⋊D79—21no—
224C22×C22⋊D79—21no—
225C2×D4×D79—21no—
226C2×D4×D79—21no—
227C2×D4×D79—21no—
228C2×D4×D79—21no—
229C2×D4×D79—21no—
230C2×D4×D79—21no—
231C2×D4×D79—21no—
232C2×D4×D79—42no—
233C2×D4×D79—42no—
234C2×D4×D79D411yescharacteristic
235C2×D4×D79C2311yescharacteristic
236C2×D4×D79C2311yescharacteristic
237C2×D4×D79C2311yescharacteristic
238C2×D4×D79C2311yescharacteristic
239C2×D4×D79C2311yescharacteristic
240C2×D4×D79C2311yescharacteristic, complemented
241C22×C4×D79—21no—
242C22×C4×D79—21no—
243C22×C4×D79C2311yescharacteristic
244C22×C4×D79C2311yescharacteristic
245#14579188—42no—
246#14579187—42no—
247#14579185—42no—
248C2×#11929613C2311yescharacteristic, complemented
249C2×#11929612C2311yescharacteristic, complemented
250C2×#11929612C2311yescharacteristic, complemented
251C2×#11929612C2311yescharacteristic, complemented
252C2×#11929611C2311yescharacteristic, complemented
253C2×D632C2311yescharacteristic
254C2×D632C2311yescharacteristic
255C2×#11929609—42no—
256C2×#11929609C2311yescharacteristic
257C2×#11929609C2311yescharacteristic
258C2×#11929609C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929609C2311yescharacteristic
261C2×#11929609C2311yescharacteristic
262C2×#11929609C2311yescharacteristic
263C2×#11929609C2311yescharacteristic
264D8×D79—42no—
265D8×D79—42no—
266C2×#11929608C2311yescharacteristic, complemented
267C2×#11929607C2311yescharacteristic, complemented
268C2×#11929607C2311yescharacteristic, complemented
269C22×C79⋊C8C2311yescharacteristic
270C2×C8×D79C2311yescharacteristic
271C2×C8×D79C2311yescharacteristic
272#14579161C2311yescharacteristic, complemented
273#14579160C2311yescharacteristic, complemented
274#14579157C2311yescharacteristic, complemented
275#14579150C2311yescharacteristic
276#14579149C2311yescharacteristic
277#14579148—21no—
278#14579148C2311yescharacteristic
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579146—21no—
283#14579146—21no—
284#14579145—21no—
285#14579145—21no—
286#14579145—21no—
287#14579144—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579142—21no—
295#14579142—21no—
296#14579142—21no—
297#14579141—21no—
298#14579141C2311yescharacteristic
299#14579140—21no—
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579137C2311yescharacteristic
306#14579136—21no—
307#14579136C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579135—21no—
310#14579135C2311yescharacteristic
311#14579135C2311yescharacteristic
312#14579135C2311yescharacteristic, complemented
313#14579134—21no—
314#14579134—21no—
315#14579134—21no—
316#14579134—21no—
317#14579134—21no—
318#14579134—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579132—21no—
327#14579132—21no—
328#14579132—21no—
329#14579132—21no—
330#14579132—21no—
331#14579132—21no—
332#14579132—21no—
333#14579132C2311yescharacteristic
334#14579132C2311yescharacteristic
335#14579132C2311yescharacteristic
336#14579132C2311yescharacteristic
337#14579132C2311yescharacteristic
338#14579132C2311yescharacteristic
339#14579132C2311yescharacteristic, complemented
340#14579132C2311yescharacteristic, complemented
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579130—21no—
345#14579130—21no—
346#14579130—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351#14579129—21no—
352#14579129—21no—
353#14579129—21no—
354C4×D316C2311yescharacteristic
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic, complemented
357D4×Dic79—21no—
358D4×Dic79D411yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic, complemented
361D4×Dic79C2311yescharacteristic, complemented
362#14579123D411yescharacteristic
363#14579123C2311yescharacteristic
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79C2311yescharacteristic
367C4×C22⋊D79C2311yescharacteristic
368(C22⋊D79)⋊C4—21no—
369(C22⋊D79)⋊C4D411yescharacteristic
370(C22⋊D79)⋊C4D411yescharacteristic
371C2×C4⋊Dic79C2311yescharacteristic
372C2×C4⋊Dic79C2311yescharacteristic, complemented
373C4⋊C4×D79—21no—
374C4⋊C4×D79D411yescharacteristic
375C4⋊C4×D79C2311yescharacteristic
376C4⋊C4×D79C2311yescharacteristic
377C4⋊C4×D79C2311yescharacteristic, complemented
378C2×C22⋊Dic79—21no—
379C2×C22⋊Dic79—21no—
380C2×C22⋊Dic79—21no—
381C2×(C2×D79)⋊C4—21no—
382C2×(C2×D79)⋊C4—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—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#14579093C2311yescharacteristic, complemented
398#14579093C2311yescharacteristic, complemented
399#14579093C2311yescharacteristic, complemented
400#14579092C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403#14579092C2311yescharacteristic, complemented
404C4⋊(C79⋊C8)C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406Dic79⋊C8C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579086C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579085C2311yescharacteristic, complemented
413#14579084C2311yescharacteristic, complemented
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic, complemented
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic, complemented
428#14579082C2311yescharacteristic, complemented
429#14579082C2311yescharacteristic, complemented
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic, complemented
433C22⋊(C79⋊C8)C2311yescharacteristic
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
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442(C2×D79)⋊C8C2311yescharacteristic, complemented
443#14579072C2311yescharacteristic, complemented
444#14579071C2311yescharacteristic, complemented
445#14579071C2311yescharacteristic, complemented
446C2×#41×C79C2311yescharacteristic
447C22×D4×C79—21no—
448C22×D4×C79C2311yescharacteristic
449C22×D4×C79C2311yescharacteristic
450C22×D4×C79C2311yescharacteristic, complemented
451AGL(1,ℤ/8)×C79—42no—
452C2×SD16×C79C2311yescharacteristic, complemented
453C2×SD16×C79C2311yescharacteristic, complemented
454C2×SD16×C79C2311yescharacteristic, complemented
455C2×D8×C79—42no—
456C2×D8×C79C2311yescharacteristic
457C2×D8×C79C2311yescharacteristic
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C2×D8×C79C2311yescharacteristic
461C2×D8×C79C2311yescharacteristic
462C2×M16×C79C2311yescharacteristic, complemented
463C22×C8×C79C2311yescharacteristic
464#127×C79C2311yescharacteristic, complemented
465#124×C79C2311yescharacteristic
466#123×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468#121×C79—21no—
469#121×C79—21no—
470#121×C79C2311yescharacteristic
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic, complemented
473#120×C79—21no—
474#120×C79—21no—
475#120×C79—21no—
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic
478C4×D4×C79C2311yescharacteristic, complemented
479C2×C22⋊C4×C79—21no—
480#106×C79C2311yescharacteristic, complemented
481C4⋊C8×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic, complemented
486#102×C79C2311yescharacteristic, complemented
487#102×C79C2311yescharacteristic, complemented
488C22⋊C8×C79C2311yescharacteristic
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—44no—
499C23×D79—44no—
500C23×D79—82no—
501C23×D79C2×D411yescharacteristic
502C23×D79C2×D411yescharacteristic
503#11929625—22no—
504#11929625—41no—
505#11929624—22no—
506#11929624—44no—
507#11929624—41no—
508#11929624—44no—
509#11929624—44no—
510#11929623—22no—
511#11929623—44no—
512#11929623—44no—
513#11929623—44no—
514#11929623—41no—
515#11929623—44no—
516#11929623—44no—
517C2×Dic158—21no—
518C2×Dic158—21no—
519C2×Dic158—21no—
520C2×Dic158C2411yescharacteristic
521Q8×D79—41no—
522Q8×D79—41no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—21no—
526C2×D316—22no—
527C2×D316—21no—
528C2×D316—41no—
529C2×D316C2×D411yescharacteristic
530C2×D316C2411yescharacteristic
531C2×D316C2411yescharacteristic
532C2×D316C2411yescharacteristic
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—21no—
550C2×C22⋊D79—21no—
551C2×C22⋊D79—21no—
552C2×C22⋊D79—21no—
553C2×C22⋊D79—21no—
554C2×C22⋊D79—44no—
555C2×C22⋊D79—44no—
556C2×C22⋊D79—44no—
557C2×C22⋊D79—44no—
558C2×C22⋊D79—44no—
559C2×C22⋊D79C2×D411yescharacteristic
560C2×C22⋊D79C2×D411yescharacteristic
561D4×D79—22no—
562D4×D79—24no—
563D4×D79—22no—
564D4×D79—22no—
565D4×D79—22no—
566D4×D79—44no—
567D4×D79—41no—
568D4×D79—41no—
569D4×D79—41no—
570D4×D79—41no—
571D4×D79—44no—
572D4×D79—44no—
573D4×D79—44no—
574D4×D79—44no—
575D4×D79—44no—
576D4×D79—41no—
577D4×D79—41no—
578D4×D79—41no—
579D4×D79—41no—
580D4×D79—82no—
581C22×Dic79—21no—
582C22×Dic79—21no—
583C22×Dic79—21no—
584C22×Dic79—21no—
585C22×Dic79—21no—
586C22×Dic79—21no—
587C22×Dic79C2×D411yescharacteristic
588C22×Dic79C2×D411yescharacteristic
589C2×C4×D79—21no—
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—21no—
597C2×C4×D79—21no—
598C2×C4×D79—41no—
599C2×C4×D79—41no—
600C2×C4×D79—41no—
601C2×C4×D79—41no—
602C2×C4×D79—44no—
603C2×C4×D79—82no—
604C2×C4×D79C2×D411yescharacteristic
605C2×C4×D79C2×D411yescharacteristic
606C2×C4×D79C2×D411yescharacteristic
607C2×C4×D79C2×D411yescharacteristic
608C2×C4×D79C2×D411yescharacteristic
609C2×C4×D79C2×D411yescharacteristic
610C2×C4×D79C2411yescharacteristic
611C2×C4×D79C2411yescharacteristic
612C2×C4×D79C2411yescharacteristic
613#11929613—41no—
614#11929612—41no—
615#11929612—41no—
616#11929612—41no—
617#11929611—41no—
618D632—22no—
619D632—41no—
620#11929609—22no—
621#11929609—22no—
622#11929609—22no—
623#11929609—22no—
624#11929609—41no—
625#11929609—41no—
626#11929609—41no—
627#11929609—41no—
628#11929608—41no—
629#11929607—41no—
630#11929607—41no—
631C2×C79⋊C8—41no—
632C2×C79⋊C8C2411yescharacteristic
633C2×C79⋊C8C2411yescharacteristic
634C2×C79⋊C8C2411yescharacteristic
635C2×C79⋊C8C2411yescharacteristic
636C8×D79—41no—
637C8×D79—41no—
638C4⋊Dic79—21no—
639C4⋊Dic79—21no—
640C4⋊Dic79—21no—
641C4⋊Dic79—21no—
642C4⋊Dic79C2×D411yescharacteristic
643C4⋊Dic79C2411yescharacteristic
644C4⋊Dic79C2411yescharacteristic
645C4⋊Dic79C2411yescharacteristic
646C4⋊Dic79C2411yescharacteristic
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⋊Dic79—21no—
663C22⋊Dic79—21no—
664C22⋊Dic79—21no—
665C22⋊Dic79—21no—
666C22⋊Dic79—21no—
667C22⋊Dic79—21no—
668C22⋊Dic79—21no—
669C22⋊Dic79C2×D411yescharacteristic
670C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
683(C2×D79)⋊C4—21no—
684(C2×D79)⋊C4—21no—
685(C2×D79)⋊C4C2×D411yescharacteristic
686(C2×D79)⋊C4C2×D411yescharacteristic
687(C2×D79)⋊C4C2×D411yescharacteristic
688(C2×D79)⋊C4C2×D411yescharacteristic
689C4×Dic79C2×D411yescharacteristic
690C4×Dic79C2×D411yescharacteristic
691C4×Dic79C2411yescharacteristic
692C24×C79—21no—
693C24×C79—21no—
694C24×C79—21no—
695#41×C79—22no—
696#41×C79—41no—
697C2×Q8×C79C2411yescharacteristic
698C2×D4×C79—22no—
699C2×D4×C79—21no—
700C2×D4×C79—21no—
701C2×D4×C79—21no—
702C2×D4×C79—21no—
703C2×D4×C79—21no—
704C2×D4×C79—21no—
705C2×D4×C79—21no—
706C2×D4×C79—21no—
707C2×D4×C79—21no—
708C2×D4×C79—41no—
709C2×D4×C79—41no—
710C2×D4×C79—41no—
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
719C2×D4×C79C2411yescharacteristic
720C22×C4×C79—21no—
721C22×C4×C79—21no—
722C22×C4×C79—21no—
723C22×C4×C79C2411yescharacteristic
724C22×C4×C79C2411yescharacteristic
725SD16×C79—41no—
726SD16×C79—41no—
727SD16×C79—41no—
728D8×C79—22no—
729D8×C79—22no—
730D8×C79—22no—
731D8×C79—41no—
732D8×C79—41no—
733D8×C79—41no—
734M16×C79—41no—
735C2×C8×C79—41no—
736C2×C8×C79C2411yescharacteristic
737C2×C8×C79C2411yescharacteristic
738C2×C8×C79C2411yescharacteristic
739C2×C8×C79C2411yescharacteristic
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×C79—21no—
752C22⋊C4×C79C2×D411yescharacteristic
753C22⋊C4×C79C2×D411yescharacteristic
754C42×C79C2411yescharacteristic
755C23×C79—21no—
756C23×C79—21no—
757C23×C79—21no—
758C23×C79—21no—
759C23×C79—21no—
760C23×C79—42no—
761C23×C79—42no—
762C23×C79—42no—
763C23×C79—42no—
764C23×C79—81no—
765C23×C79—81no—
766C23×C79—81no—
767C23×C79—81no—
768C23×C79—81no—
769C23×C79C22×D411yescharacteristic
770C23×C79C22×D411yescharacteristic
771C22×D79—24no—
772C22×D79—21no—
773C22×D79—22no—
774C22×D79—21no—
775C22×D79—21no—
776C22×D79—41no—
777C22×D79—41no—
778C22×D79—41no—
779C22×D79—41no—
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—81no—
794C22×D79—81no—
795C22×D79—81no—
796C22×D79—81no—
797C22×D79—81no—
798C22×D79—81no—
799C22×D79—81no—
800C22×D79—816no—
801C22×D79AGL(1,ℤ/8)14yescomplemented
802C22×D79C22×D411yescharacteristic
803C22×D79C22×D411yescharacteristic
804C22×D79C22×D411yescharacteristic
805Q8×C79—21no—
806Q8×C79—21no—
807D4×C79—22no—
808D4×C79—21no—
809D4×C79—21no—
810D4×C79—21no—
811D4×C79—21no—
812D4×C79—21no—
813D4×C79—21no—
814D4×C79—21no—
815D4×C79—21no—
816D4×C79—21no—
817D4×C79—42no—
818D4×C79—42no—
819D4×C79—42no—
820D4×C79—42no—
821D4×C79—42no—
822D4×C79—81no—
823D4×C79—81no—
824D4×C79—81no—
825D4×C79—81no—
826D4×C79H(5,𝔽2)12yescomplemented
827C2×C4×C79—21no—
828C2×C4×C79—21no—
829C2×C4×C79—21no—
830C2×C4×C79—21no—
831C2×C4×C79—21no—
832C2×C4×C79—21no—
833C2×C4×C79—21no—
834C2×C4×C79—42no—
835C2×C4×C79—42no—
836C2×C4×C79—81no—
837C2×C4×C79C22×D411yescharacteristic
838C2×C4×C79C22×D411yescharacteristic
839C2×C4×C79C22×D411yescharacteristic
840C2×C4×C79C22×D411yescharacteristic
841C2×C4×C79C2511yescharacteristic
842C22⋊D79—24no—
843C22⋊D79—22no—
844C22⋊D79—22no—
845C22⋊D79—42no—
846C22⋊D79—42no—
847C22⋊D79—42no—
848C22⋊D79—42no—
849C22⋊D79—42no—
850C22⋊D79—42no—
851C22⋊D79—42no—
852C22⋊D79—42no—
853C22⋊D79—42no—
854C22⋊D79—42no—
855C22⋊D79—42no—
856C22⋊D79—42no—
857C22⋊D79—42no—
858C22⋊D79—42no—
859C22⋊D79—42no—
860C22⋊D79—81no—
861C22⋊D79—81no—
862C22⋊D79—81no—
863C22⋊D79—81no—
864C22⋊D79—81no—
865C2×Dic79—21no—
866C2×Dic79—21no—
867C2×Dic79—21no—
868C2×Dic79—21no—
869C2×Dic79—21no—
870C2×Dic79—41no—
871C2×Dic79—41no—
872C2×Dic79—42no—
873C2×Dic79—42no—
874C2×Dic79—42no—
875C2×Dic79—42no—
876C2×Dic79—42no—
877C2×Dic79—81no—
878C2×Dic79C22×D411yescharacteristic
879C2×Dic79C22×D411yescharacteristic
880C2×Dic79C22×D411yescharacteristic
881C2×Dic79C22×D411yescharacteristic
882C2×Dic79C22×D411yescharacteristic
883D316—22no—
884D316—21no—
885D316—21no—
886D316—21no—
887D316—21no—
888D316—21no—
889D316—42no—
890D316—42no—
891D316—42no—
892D316—81no—
893D316H(5,𝔽2)12yescomplemented
894C4×D79—22no—
895C4×D79—21no—
896C4×D79—21no—
897C4×D79—21no—
898C4×D79—21no—
899C4×D79—21no—
900C4×D79—21no—
901C4×D79—41no—
902C4×D79—41no—
903C4×D79—41no—
904C4×D79—41no—
905C4×D79—41no—
906C4×D79—42no—
907C4×D79—42no—
908C4×D79—42no—
909C4×D79—42no—
910C4×D79—42no—
911C4×D79—42no—
912C4×D79—42no—
913C4×D79—81no—
914C4×D79—81no—
915Dic158—21no—
916Dic158—21no—
917Dic158—42no—
918Dic158—42no—
919Dic158—42no—
920C8×C79—21no—
921C8×C79—21no—
922C8×C79—21no—
923C8×C79—21no—
924C79⋊C8—21no—
925C79⋊C8—21no—
926C79⋊C8—21no—
927C79⋊C8—21no—
928C22×C79—21no—
929C22×C79—21no—
930C22×C79—21no—
931C22×C79—22no—
932C22×C79—21no—
933C22×C79—21no—
934C22×C79—41no—
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—41no—
947C22×C79—41no—
948C22×C79—84no—
949C22×C79—162no—
950C22×C79—162no—
951C22×C79C2×AGL(1,ℤ/8)12yes—
952C22×C79C23×D411yescharacteristic
953C2×D79—21no—
954C2×D79—21no—
955C2×D79—21no—
956C2×D79—21no—
957C2×D79—21no—
958C2×D79—22no—
959C2×D79—21no—
960C2×D79—21no—
961C2×D79—44no—
962C2×D79—48no—
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—82no—
972C2×D79—84no—
973C2×D79—84no—
974C2×D79—84no—
975C2×D79—84no—
976C2×D79—162no—
977C2×D79—162no—
978C2×D79C2×AGL(1,ℤ/8)12yes—
979C2×D79C2×AGL(1,ℤ/8)12yes—
980C4×C79—21no—
981C4×C79—21no—
982C4×C79—21no—
983C4×C79—21no—
984C4×C79—41no—
985C4×C79—41no—
986C4×C79—41no—
987C4×C79C2×H(5,𝔽2)11yescharacteristic
988C4×C79C2×H(5,𝔽2)11yescharacteristic
989Dic79—21no—
990Dic79—21no—
991Dic79—21no—
992Dic79—21no—
993Dic79—21no—
994Dic79—41no—
995Dic79—41no—
996Dic79—41no—
997Dic79—41no—
998Dic79—41no—
999#61569—791nomaximal, Sylow
1000C2×C79—22no—
1001C2×C79—42no—
1002C2×C79—41no—
1003C2×C79—81no—
1004C2×C79—81no—
1005C2×C79—81no—
1006C2×C79—81no—
1007C2×C79#348411yescharacteristic
1008C2×C79C22×AGL(1,ℤ/8)11yescharacteristic
1009C2×C79#358511yescharacteristic
1010D79—22no—
1011D79—22no—
1012D79—41no—
1013D79—42no—
1014D79—81no—
1015D79—81no—
1016#3496—791no—
1017C2×#546—791no—
1018#3306—791no—
1019#3306—791no—
1020#3306—791no—
1021#3306—791no—
1022#3306—791no—
1023#3306—791no—
1024#3306—791no—
1025#3306—791no—
1026#3264—791no—
1027#3264—791no—
1028#3264—791no—
1029#3264—791no—
1030#3264—791no—
1031#3264—791no—
1032#3264—791no—
1033#3264D7911yescharacteristic, complemented
1034#3213—791no—
1035#3213—791no—
1036#3192—791no—
1037#3192—791no—
1038#3187—791no—
1039#3187—791no—
1040#3109—791no—
1041#3109—791no—
1042#3006—791no—
1043#3006—791no—
1044C2×#447—791no—
1045C2×#447—791no—
1046#2973—791no—
1047C79#6156911yescharacteristic, complemented, Sylow
1048C2×H(5,𝔽2)—1581no—
1049C22×#41—791no—
1050C23×D4—791no—
1051C2×AGL(1,ℤ/8)—791no—
1052C2×AGL(1,ℤ/8)—791no—
1053C2×AGL(1,ℤ/8)—791no—
1054C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1055C22×D8—791no—
1056C22×D8—791no—
1057C22×D8—791no—
1058C22×D8C2×D7911yescharacteristic, complemented
1059#547—791no—
1060#547—791no—
1061#547—791no—
1062#547—791no—
1063#546—791no—
1064#546—791no—
1065#546—791no—
1066#546—791no—
1067#546—791no—
1068#546—791no—
1069#546—791no—
1070#546—1581no—
1071#546—1581no—
1072#546—1581no—
1073#546—1581no—
1074#546—1581no—
1075#546—1581no—
1076#546—1581no—
1077#546—1581no—
1078#546C2×D7911yescharacteristic, complemented
1079D42—791no—
1080D42—791no—
1081D42—791no—
1082D42C2×D7911yescharacteristic, complemented
1083#537—1581no—
1084#534—1581no—
1085#534—1581no—
1086#532—791no—
1087#532—791no—
1088C2×#124—791no—
1089C2×#123—1581no—
1090C2×C22⋊Q8—791no—
1091C2×#121—791no—
1092C2×#121—791no—
1093C2×#121—791no—
1094C2×#121—791no—
1095C2×#121—791no—
1096C2×#121—1581no—
1097C2×#120—1581no—
1098C2×C4×D4—791no—
1099C2×C4×D4—791no—
1100C22×C22⋊C4—1581no—
1101#496—791no—
1102#496—791no—
1103#496—791no—
1104#496C2×D7911yescharacteristic, complemented
1105#489—791no—
1106#489—791no—
1107#489—791no—
1108#489—791no—
1109#483—791no—
1110#483—791no—
1111#483—791no—
1112#483—791no—
1113#481—791no—
1114#481—791no—
1115#481—791no—
1116#481—791no—
1117#481—791no—
1118#481—791no—
1119#481—791no—
1120#481—791no—
1121#476—791no—
1122#476—791no—
1123#476—791no—
1124#476—791no—
1125#469—791no—
1126#469—791no—
1127#469—791no—
1128#469—791no—
1129#469—791no—
1130#469—791no—
1131#469—791no—
1132#469C2×D7911yescharacteristic, complemented
1133#465—791no—
1134#465—791no—
1135#465—791no—
1136#465—791no—
1137#465—791no—
1138#465—791no—
1139#465—791no—
1140#465C2×D7911yescharacteristic, complemented
1141#463—791no—
1142#463—791no—
1143#463—791no—
1144#463—791no—
1145#463—791no—
1146#463—791no—
1147#463—791no—
1148#463C2×D7911yescharacteristic, complemented
1149#459—791no—
1150#459—791no—
1151#459—791no—
1152#459C2×D7911yescharacteristic, complemented
1153#450—791no—
1154#450—791no—
1155#450—791no—
1156#450C2×D7911yescharacteristic, complemented
1157#449—791no—
1158#449—791no—
1159#449—791no—
1160#449—791no—
1161#449—791no—
1162#449—791no—
1163#449—791no—
1164#449C2×D7911yescharacteristic, complemented
1165#448—791no—
1166#448—791no—
1167#448—791no—
1168#448—791no—
1169#447—791no—
1170#447—791no—
1171#447—791no—
1172#447—791no—
1173#447—791no—
1174#447—791no—
1175#447—791no—
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#447C2×D7911yescharacteristic, complemented
1188#447C2×D7911yescharacteristic, complemented
1189#442—791no—
1190#442—791no—
1191#442—791no—
1192#442—791no—
1193#442—791no—
1194#442—791no—
1195#442—791no—
1196#442C2×D7911yescharacteristic, complemented
1197#435—791no—
1198#435—791no—
1199#435—791no—
1200#435—791no—
1201#435—791no—
1202#435—791no—
1203#435—791no—
1204#435C2×D7911yescharacteristic, complemented
1205#432—791no—
1206#432—791no—
1207#417—791no—
1208#417—791no—
1209#417—791no—
1210#417—791no—
1211C2×#102—791no—
1212C2×#102—791no—
1213C2×#102—791no—
1214C2×#102—791no—
1215#407—791no—
1216#407—791no—
1217C2×C22⋊C8—791no—
1218C2×C22⋊C8—791no—
1219C25—1581no—
1220H(5,𝔽2)—3168no—
1221C2×#41—3162no—
1222C2×#41—3162no—
1223C2×#41—791no—
1224C2×#41—791no—
1225C2×#41—791no—
1226C2×#41—1581no—
1227C2×#41—1581no—
1228C2×#41—1581no—
1229C2×#41—1581no—
1230C2×#41—1581no—
1231C2×#41—1581no—
1232C2×#41—1581no—
1233C2×#41—1581no—
1234C2×#41C22×D7911yescharacteristic
1235C22×Q8—791no—
1236C22×D4—21no—
1237C22×D4—3162no—
1238C22×D4—3162no—
1239C22×D4—791no—
1240C22×D4—791no—
1241C22×D4—791no—
1242C22×D4—791no—
1243C22×D4—791no—
1244C22×D4—791no—
1245C22×D4—791no—
1246C22×D4—791no—
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×D4C22×D7911yescharacteristic
1260C22×D4C22×D7911yescharacteristic
1261C22×D4C22×D7911yescharacteristic, complemented
1262C23×C4—791no—
1263C23×C4—791no—
1264C23×C4—1581no—
1265C23×C4—1581no—
1266AGL(1,ℤ/8)—42no—
1267AGL(1,ℤ/8)—3162no—
1268AGL(1,ℤ/8)—3162no—
1269AGL(1,ℤ/8)—3162no—
1270C2×SD16—791no—
1271C2×SD16—791no—
1272C2×SD16—791no—
1273C2×SD16—791no—
1274C2×SD16—791no—
1275C2×SD16C22×D7911yescharacteristic, complemented
1276C2×SD16C22×D7911yescharacteristic, complemented
1277C2×SD16C22×D7911yescharacteristic, complemented
1278C2×D8—42no—
1279C2×D8—3162no—
1280C2×D8—3162no—
1281C2×D8—3162no—
1282C2×D8—791no—
1283C2×D8—791no—
1284C2×D8—791no—
1285C2×D8—791no—
1286C2×D8—791no—
1287C2×D8—791no—
1288C2×D8—791no—
1289C2×D8—791no—
1290C2×D8—791no—
1291C2×D8—791no—
1292C2×D8C22×D7911yescharacteristic
1293C2×D8C22×D7911yescharacteristic
1294C2×D8C22×D7911yescharacteristic
1295C2×D8C22×D7911yescharacteristic
1296C2×D8C22×D7911yescharacteristic
1297C2×D8C22×D7911yescharacteristic
1298C2×M16—791no—
1299C2×M16—791no—
1300C2×M16—791no—
1301C2×M16C22×D7911yescharacteristic, complemented
1302C22×C8—791no—
1303C22×C8—791no—
1304C22×C8—791no—
1305C22×C8C22×D7911yescharacteristic
1306C4⋊Q8—791no—
1307C4⋊Q8—791no—
1308#127—791no—
1309#127C22×D7911yescharacteristic, complemented
1310#124—791no—
1311#124—791no—
1312#124—791no—
1313#124—1581no—
1314#124—1581no—
1315#124—1581no—
1316#124—1581no—
1317#124C22×D7911yescharacteristic
1318#123—21no—
1319#123—1581no—
1320#123—1581no—
1321#123—1581no—
1322#123—1581no—
1323#123—1581no—
1324#123—1581no—
1325#123—1581no—
1326#123—1581no—
1327#123—1581no—
1328#123—1581no—
1329#123—1581no—
1330#123—1581no—
1331#123—1581no—
1332#123—1581no—
1333#123—1581no—
1334C22⋊Q8—791no—
1335C22⋊Q8—791no—
1336C22⋊Q8—791no—
1337C22⋊Q8—1581no—
1338C22⋊Q8—1581no—
1339C22⋊Q8—1581no—
1340C22⋊Q8—1581no—
1341C22⋊Q8—1581no—
1342C22⋊Q8—1581no—
1343C22⋊Q8C22×D7911yescharacteristic
1344#121—21no—
1345#121—21no—
1346#121—791no—
1347#121—791no—
1348#121—791no—
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—1581no—
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#121—1581no—
1379#121—1581no—
1380#121—1581no—
1381#121C22×D7911yescharacteristic
1382#121C22×D7911yescharacteristic
1383#121C22×D7911yescharacteristic, complemented
1384#120—21no—
1385#120—21no—
1386#120—21no—
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—
1400C4×D4—791no—
1401C4×D4—791no—
1402C4×D4—791no—
1403C4×D4—791no—
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—1581no—
1414C4×D4—1581no—
1415C4×D4—1581no—
1416C4×D4—1581no—
1417C4×D4C22×D7911yescharacteristic
1418C4×D4C22×D7911yescharacteristic
1419C4×D4C22×D7911yescharacteristic, complemented
1420C2×C4⋊C4—791no—
1421C2×C4⋊C4—791no—
1422C2×C4⋊C4—791no—
1423C2×C4⋊C4—791no—
1424C2×C4⋊C4—791no—
1425C2×C4⋊C4—791no—
1426C2×C4⋊C4—1581no—
1427C2×C22⋊C4—21no—
1428C2×C22⋊C4—791no—
1429C2×C22⋊C4—791no—
1430C2×C22⋊C4—1581no—
1431C2×C22⋊C4—1581no—
1432C2×C22⋊C4—1581no—
1433C2×C22⋊C4—1581no—
1434C2×C22⋊C4—1581no—
1435C2×C22⋊C4—1581no—
1436C2×C22⋊C4—1581no—
1437C2×C22⋊C4—1581no—
1438C2×C22⋊C4—1581no—
1439C2×C22⋊C4—1581no—
1440C2×C22⋊C4—1581no—
1441C2×C22⋊C4—1581no—
1442C2×C22⋊C4—1581no—
1443C2×C22⋊C4—1581no—
1444C2×C22⋊C4—1581no—
1445C2×C22⋊C4—1581no—
1446C2×C42—791no—
1447#106—791no—
1448#106—791no—
1449#106—791no—
1450#106—791no—
1451#106—791no—
1452#106—791no—
1453#106—791no—
1454#106C22×D7911yescharacteristic, complemented
1455C4⋊C8—791no—
1456C4⋊C8—791no—
1457C4⋊C8—791no—
1458C4⋊C8C22×D7911yescharacteristic, complemented
1459#103—791no—
1460#103—791no—
1461#103—791no—
1462#103—791no—
1463#103—791no—
1464#103—791no—
1465#103—791no—
1466#103C22×D7911yescharacteristic, complemented
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#102C22×D7911yescharacteristic
1487#102C22×D7911yescharacteristic
1488#102C22×D7911yescharacteristic, complemented
1489#102C22×D7911yescharacteristic, complemented
1490#102C22×D7911yescharacteristic, complemented
1491C22⋊C8—791no—
1492C22⋊C8—791no—
1493C22⋊C8—791no—
1494C22⋊C8—791no—
1495C22⋊C8—791no—
1496C22⋊C8—791no—
1497C22⋊C8—791no—
1498C22⋊C8—791no—
1499C22⋊C8—791no—
1500C22⋊C8—791no—
1501C22⋊C8C22×D7911yescharacteristic
1502C22⋊C8C22×D7911yescharacteristic, complemented
1503#97—791no—
1504#97—791no—
1505#97—791no—
1506#97C22×D7911yescharacteristic, complemented
1507C24—21no—
1508C24—21no—
1509C24—21no—
1510C24—3164no—
1511C24—3164no—
1512C24—791no—
1513C24—791no—
1514C24—6322no—
1515C24—1581no—
1516C24—1581no—
1517C24—1581no—
1518C24—1581no—
1519C24—1581no—
1520C24—1581no—
1521C24—1581no—
1522#41—22no—
1523#41—41no—
1524#41—3161no—
1525#41—3164no—
1526#41—3164no—
1527#41—3164no—
1528#41—3164no—
1529#41—3164no—
1530#41—3164no—
1531#41—3164no—
1532#41—3161no—
1533#41—3164no—
1534#41—3161no—
1535#41—1582no—
1536#41—1582no—
1537#41—1582no—
1538C2×Q8—3161no—
1539C2×Q8—3161no—
1540C2×Q8—791no—
1541C2×Q8—1581no—
1542C2×Q8—1581no—
1543C2×Q8—1581no—
1544C2×Q8C23×D7911yescharacteristic
1545C2×D4—22no—
1546C2×D4—21no—
1547C2×D4—21no—
1548C2×D4—21no—
1549C2×D4—21no—
1550C2×D4—21no—
1551C2×D4—21no—
1552C2×D4—21no—
1553C2×D4—21no—
1554C2×D4—21no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—41no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—44no—
1561C2×D4—3161no—
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—3164no—
1571C2×D4—3164no—
1572C2×D4—3164no—
1573C2×D4—3161no—
1574C2×D4—3161no—
1575C2×D4—3161no—
1576C2×D4—3161no—
1577C2×D4—3161no—
1578C2×D4—3161no—
1579C2×D4—3161no—
1580C2×D4—3161no—
1581C2×D4—791no—
1582C2×D4—791no—
1583C2×D4—791no—
1584C2×D4—791no—
1585C2×D4—791no—
1586C2×D4—791no—
1587C2×D4—6322no—
1588C2×D4—1581no—
1589C2×D4—1581no—
1590C2×D4—1582no—
1591C2×D4—1581no—
1592C2×D4—1581no—
1593C2×D4—1581no—
1594C2×D4—1581no—
1595C2×D4—1581no—
1596C2×D4—1581no—
1597C2×D4—1581no—
1598C2×D4—1581no—
1599C2×D4—1581no—
1600C2×D4—1582no—
1601C2×D4—1582no—
1602C2×D4—1584no—
1603C2×D4—1581no—
1604C2×D4—1581no—
1605C2×D4—1581no—
1606C2×D4—1581no—
1607C2×D4—1581no—
1608C2×D4—1581no—
1609C2×D4—1581no—
1610C2×D4—1581no—
1611C2×D4—1581no—
1612C2×D4—1581no—
1613C2×D4—1581no—
1614C2×D4—1582no—
1615C2×D4—1581no—
1616C2×D4—1581no—
1617C2×D4—1582no—
1618C2×D4—1581no—
1619C2×D4D4×D7911yescharacteristic
1620C2×D4C23×D7911yescharacteristic
1621C2×D4C23×D7911yescharacteristic
1622C2×D4C23×D7911yescharacteristic
1623C2×D4C23×D7911yescharacteristic
1624C2×D4C23×D7911yescharacteristic
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—21no—
1628C22×C4—3161no—
1629C22×C4—3161no—
1630C22×C4—3161no—
1631C22×C4—3161no—
1632C22×C4—3164no—
1633C22×C4—791no—
1634C22×C4—791no—
1635C22×C4—791no—
1636C22×C4—791no—
1637C22×C4—791no—
1638C22×C4—791no—
1639C22×C4—791no—
1640C22×C4—791no—
1641C22×C4—791no—
1642C22×C4—791no—
1643C22×C4—791no—
1644C22×C4—6322no—
1645C22×C4—1581no—
1646C22×C4—1581no—
1647C22×C4—1581no—
1648C22×C4—1581no—
1649C22×C4—1581no—
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×C4—1581no—
1660C22×C4C23×D7911yescharacteristic
1661C22×C4C23×D7911yescharacteristic
1662SD16—41no—
1663SD16—41no—
1664SD16—41no—
1665SD16—3161no—
1666SD16—3161no—
1667SD16—3161no—
1668SD16—3161no—
1669SD16—3161no—
1670D8—22no—
1671D8—22no—
1672D8—22no—
1673D8—41no—
1674D8—41no—
1675D8—41no—
1676D8—3161no—
1677D8—3161no—
1678D8—3161no—
1679D8—3161no—
1680D8—3161no—
1681D8—1582no—
1682D8—1582no—
1683D8—1582no—
1684D8—1582no—
1685D8—1582no—
1686M16—41no—
1687M16—3161no—
1688M16—3161no—
1689M16—3161no—
1690C2×C8—41no—
1691C2×C8—3161no—
1692C2×C8—3161no—
1693C2×C8—3161no—
1694C2×C8—791no—
1695C2×C8—791no—
1696C2×C8—791no—
1697C2×C8—791no—
1698C2×C8C23×D7911yescharacteristic
1699C2×C8C23×D7911yescharacteristic
1700C2×C8C23×D7911yescharacteristic
1701C2×C8C23×D7911yescharacteristic
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⋊C4D4×D7911yescharacteristic
1721C4⋊C4C23×D7911yescharacteristic
1722C4⋊C4C23×D7911yescharacteristic
1723C22⋊C4—21no—
1724C22⋊C4—21no—
1725C22⋊C4—21no—
1726C22⋊C4—21no—
1727C22⋊C4—21no—
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—791no—
1732C22⋊C4—791no—
1733C22⋊C4—791no—
1734C22⋊C4—791no—
1735C22⋊C4—791no—
1736C22⋊C4—791no—
1737C22⋊C4—1581no—
1738C22⋊C4—1581no—
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⋊C4—1581no—
1765C22⋊C4D4×D7911yescharacteristic
1766C22⋊C4D4×D7911yescharacteristic
1767C42—791no—
1768C42—791no—
1769C42—791no—
1770C42C23×D7911yescharacteristic
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—42no—
1777C23—42no—
1778C23—42no—
1779C23—42no—
1780C23—81no—
1781C23—81no—
1782C23—81no—
1783C23—81no—
1784C23—81no—
1785C23—3161no—
1786C23—3161no—
1787C23—3162no—
1788C23—3162no—
1789C23—3161no—
1790C23—3161no—
1791C23—3162no—
1792C23—3162no—
1793C23—3162no—
1794C23—3162no—
1795C23—3162no—
1796C23—3162no—
1797C23—3162no—
1798C23—3162no—
1799C23—3162no—
1800C23—3162no—
1801C23—3162no—
1802C23—794no—
1803C23—791no—
1804C23—791no—
1805C23—791no—
1806C23—6321no—
1807C23—6321no—
1808C23—6321no—
1809C23—6321no—
1810C23—6321no—
1811C23—6321no—
1812C23—6321no—
1813C23—63216no—
1814C23—1584no—
1815C23—1582no—
1816C23—1581no—
1817C23—1581no—
1818C23—1581no—
1819C23C2×D4×D7911yescharacteristic
1820C23C2×D4×D7911yescharacteristic
1821Q8—21no—
1822Q8—21no—
1823Q8—3162no—
1824Q8—3162no—
1825Q8—3162no—
1826Q8—1581no—
1827Q8—1581no—
1828D4—22no—
1829D4—21no—
1830D4—21no—
1831D4—21no—
1832D4—21no—
1833D4—21no—
1834D4—21no—
1835D4—21no—
1836D4—21no—
1837D4—21no—
1838D4—42no—
1839D4—42no—
1840D4—42no—
1841D4—42no—
1842D4—42no—
1843D4—81no—
1844D4—81no—
1845D4—81no—
1846D4—81no—
1847D4—3162no—
1848D4—3162no—
1849D4—3162no—
1850D4—3162no—
1851D4—3162no—
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—792no—
1866D4—6321no—
1867D4—6321no—
1868D4—6321no—
1869D4—6321no—
1870D4—6321no—
1871D4—6321no—
1872D4—1582no—
1873D4—1582no—
1874D4—1584no—
1875D4—1582no—
1876D4—1581no—
1877D4—1581no—
1878D4—1581no—
1879D4—1581no—
1880D4—1581no—
1881D4#1457920612yescomplemented
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—42no—
1890C2×C4—42no—
1891C2×C4—81no—
1892C2×C4—3162no—
1893C2×C4—3162no—
1894C2×C4—3161no—
1895C2×C4—3161no—
1896C2×C4—3161no—
1897C2×C4—3161no—
1898C2×C4—3161no—
1899C2×C4—3162no—
1900C2×C4—3162no—
1901C2×C4—3162no—
1902C2×C4—3162no—
1903C2×C4—3162no—
1904C2×C4—3162no—
1905C2×C4—3162no—
1906C2×C4—3162no—
1907C2×C4—3162no—
1908C2×C4—3162no—
1909C2×C4—3161no—
1910C2×C4—3161no—
1911C2×C4—791no—
1912C2×C4—791no—
1913C2×C4—791no—
1914C2×C4—791no—
1915C2×C4—791no—
1916C2×C4—6321no—
1917C2×C4—6321no—
1918C2×C4—6321no—
1919C2×C4—1582no—
1920C2×C4—1581no—
1921C2×C4—1581no—
1922C2×C4—1581no—
1923C2×C4—1581no—
1924C2×C4—1581no—
1925C2×C4—1581no—
1926C2×C4—1581no—
1927C2×C4—1581no—
1928C2×C4—1581no—
1929C2×C4—1581no—
1930C2×C4—1581no—
1931C2×C4C2×D4×D7911yescharacteristic
1932C2×C4C2×D4×D7911yescharacteristic
1933C2×C4C2×D4×D7911yescharacteristic
1934C2×C4C2×D4×D7911yescharacteristic
1935C2×C4C24×D7911yescharacteristic
1936C8—21no—
1937C8—21no—
1938C8—21no—
1939C8—21no—
1940C8—1581no—
1941C8—1581no—
1942C8—1581no—
1943C8—1581no—
1944C22—21no—
1945C22—21no—
1946C22—21no—
1947C22—22no—
1948C22—21no—
1949C22—21no—
1950C22—41no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—41no—
1956C22—41no—
1957C22—41no—
1958C22—41no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—84no—
1965C22—162no—
1966C22—162no—
1967C22—3164no—
1968C22—3168no—
1969C22—3161no—
1970C22—3161no—
1971C22—3161no—
1972C22—3161no—
1973C22—3161no—
1974C22—3161no—
1975C22—3161no—
1976C22—3161no—
1977C22—792no—
1978C22—792no—
1979C22—6324no—
1980C22—6322no—
1981C22—6324no—
1982C22—6324no—
1983C22—6324no—
1984C22—1582no—
1985C22—1581no—
1986C22—1581no—
1987C22—1581no—
1988C22—1581no—
1989C22—1581no—
1990C22—1581no—
1991C22—1581no—
1992C22—12642no—
1993C22—12642no—
1994C22AGL(1,ℤ/8)×D7912yes—
1995C22C22×D4×D7911yescharacteristic
1996C4—21no—
1997C4—21no—
1998C4—21no—
1999C4—21no—
2000C4—41no—
2001C4—41no—
2002C4—41no—
2003C4—3161no—
2004C4—3161no—
2005C4—3161no—
2006C4—3161no—
2007C4—3161no—
2008C4—1581no—
2009C4—1581no—
2010C4—1581no—
2011C4—1581no—
2012C4—1581no—
2013C4H(5,𝔽2)×D7911yescharacteristic
2014C4C2×#1457920611yescharacteristic
2015C2—22no—
2016C2—41no—
2017C2—42no—
2018C2—81no—
2019C2—81no—
2020C2—81no—
2021C2—81no—
2022C2—3162no—
2023C2—3161no—
2024C2—6321no—
2025C2—6321no—
2026C2—1582no—
2027C2—1582no—
2028C2#2377702811yescharacteristic
2029C2C2×AGL(1,ℤ/8)×D7911yescharacteristic
2030C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3264C2
socleC22×C79C23×D4
hypercenter#3264D79
hypocenterC79#61569
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #23777156C2semidirect
2. #546×D79C2semidirect
3. #23775368C2semidirect
4. #23775367C2semidirect
5. #23775366C2semidirect
6. #23775365C2semidirect
7. #23775363C2semidirect
8. #23775361C2semidirect
9. #23775356C2semidirect
10. #23775354C2semidirect
11. #23774884C2semidirect
12. #23774880C2semidirect
13. #23774879C2semidirect
14. #23774878C2semidirect
15. #23774876C2semidirect
16. #23774875C2semidirect
17. #23774874C2semidirect
18. #23774385C2semidirect
19. #23774382C2semidirect
20. #23774198C2semidirect
21. #23774196C2semidirect
22. #23774154C2semidirect
23. #23774152C2semidirect
24. #23773490C2semidirect
25. #23773489C2semidirect
26. #23772649C2semidirect
27. #23772648C2semidirect
28. C2×#19098695C2semidirect
29. #447×D79C2semidirect
30. #23772425C2semidirect
31. C79×#3264C2semidirect
33. C2×#41×D79C22semidirect
34. C22×D4×D79C22semidirect
35. C2×#14579188C22semidirect
36. C2×#14579187C22semidirect
37. C2×#14579185C22semidirect
38. C22×#11929609C22semidirect
39. C2×D8×D79C22semidirect
40. C2×D8×D79C22semidirect
41. #19099218C22semidirect
42. #19099217C22semidirect
43. #19099213C22semidirect
44. #19099213C22semidirect
46. #19099210C22semidirect
47. #19099209C22semidirect
48. #19099208C22semidirect
50. #19099207C22semidirect
51. #19099206C22semidirect
53. #19099204C22semidirect
56. #19099201C22semidirect
60. #19099198C22semidirect
61. D4×C22⋊D79C22semidirect
62. D4×C22⋊D79C22semidirect
66. #19099111C22semidirect
67. #19099110C22semidirect
68. #124×D79C22semidirect
70. C22⋊Q8×D79C22semidirect
72. C2×#14579132C22semidirect
75. #121×D79C22semidirect
76. #121×D79C22semidirect
79. C4×D4×D79C22semidirect
81. #19098951C22semidirect
82. #19098950C22semidirect
83. #19098949C22semidirect
84. #19098924C22semidirect
85. #19098923C22semidirect
86. #19098922C22semidirect
87. #19098921C22semidirect
88. #19098895C22semidirect
89. #19098894C22semidirect
90. #19098892C22semidirect
91. #19098891C22semidirect
92. #19098883C22semidirect
93. #19098883C22semidirect
94. #19098882C22semidirect
95. #19098880C22semidirect
96. #19098880C22semidirect
97. #19098880C22semidirect
98. #19098880C22semidirect
99. #19098879C22semidirect
100. #19098854C22semidirect
101. #19098853C22semidirect
102. #19098852C22semidirect
103. #19098851C22semidirect
104. #19098816C22semidirect
105. #19098815C22semidirect
106. #19098815C22semidirect
107. #19098814C22semidirect
108. #19098814C22semidirect
109. #19098813C22semidirect
110. #19098813C22semidirect
111. #19098794C22semidirect
112. #19098792C22semidirect
113. #19098791C22semidirect
114. #19098791C22semidirect
115. #19098790C22semidirect
116. #19098789C22semidirect
117. #19098789C22semidirect
118. #19098780C22semidirect
119. #19098780C22semidirect
120. #19098779C22semidirect
121. #19098778C22semidirect
122. #19098776C22semidirect
123. #19098776C22semidirect
124. #19098775C22semidirect
125. #19098757C22semidirect
126. #19098756C22semidirect
127. #19098755C22semidirect
128. #19098715C22semidirect
129. #19098714C22semidirect
130. #19098712C22semidirect
131. #19098710C22semidirect
132. #19098708C22semidirect
133. #19098707C22semidirect
134. #19098707C22semidirect
135. #19098706C22semidirect
136. #19098705C22semidirect
137. #19098705C22semidirect
138. #19098703C22semidirect
139. #19098700C22semidirect
140. #19098700C22semidirect
141. #19098700C22semidirect
142. #19098699C22semidirect
143. #19098698C22semidirect
144. #19098698C22semidirect
145. #19098698C22semidirect
146. #19098697C22semidirect
147. #19098697C22semidirect
148. #19098696C22semidirect
149. #19098695C22semidirect
150. #19098695C22semidirect
151. #19098695C22semidirect
152. #19098695C22semidirect
153. #19098695C22semidirect
154. #19098695C22semidirect
155. #19098695C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098695C22semidirect
160. #19098676C22semidirect
161. #19098675C22semidirect
162. #19098675C22semidirect
163. #19098673C22semidirect
164. #19098673C22semidirect
165. #19098672C22semidirect
166. #19098672C22semidirect
167. #19098637C22semidirect
168. #19098636C22semidirect
169. #19098635C22semidirect
170. #19098634C22semidirect
171. #19098633C22semidirect
172. #19098632C22semidirect
173. #19098631C22semidirect
174. #19098619C22semidirect
175. #19098618C22semidirect
176. #19098565C22semidirect
177. #19098564C22semidirect
178. #19098563C22semidirect
179. #19098561C22semidirect
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×D8×C79C22semidirect
190. #546×C79C22semidirect
191. D42×C79C22semidirect
192. #496×C79C22semidirect
193. #469×C79C22semidirect
194. #465×C79C22semidirect
195. #463×C79C22semidirect
196. #459×C79C22semidirect
197. #450×C79C22semidirect
198. #449×C79C22semidirect
199. #447×C79C22semidirect
200. #447×C79C22semidirect
201. #442×C79C22semidirect
202. #435×C79C22semidirect
240. C2×D4×D79C23semidirect
248. C2×#11929613C23semidirect
249. C2×#11929612C23semidirect
250. C2×#11929612C23semidirect
251. C2×#11929612C23semidirect
252. C2×#11929611C23semidirect
266. C2×#11929608C23semidirect
267. C2×#11929607C23semidirect
268. C2×#11929607C23semidirect
272. #14579161C23semidirect
273. #14579160C23semidirect
274. #14579157C23semidirect
312. #14579135C23semidirect
339. #14579132C23semidirect
340. #14579132C23semidirect
356. C4×D316C23semidirect
360. D4×Dic79C23semidirect
361. D4×Dic79C23semidirect
372. C2×C4⋊Dic79C23semidirect
377. C4⋊C4×D79C23semidirect
397. #14579093C23semidirect
398. #14579093C23semidirect
399. #14579093C23semidirect
400. #14579092C23semidirect
401. #14579092C23semidirect
402. #14579092C23semidirect
403. #14579092C23semidirect
404. C4⋊(C79⋊C8)C23semidirect
405. Dic79⋊C8C23semidirect
406. Dic79⋊C8C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579086C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579085C23semidirect
413. #14579084C23semidirect
420. #14579083C23semidirect
427. #14579082C23semidirect
428. #14579082C23semidirect
429. #14579082C23semidirect
432. #14579081C23semidirect
434. C22⋊(C79⋊C8)C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. (C2×D79)⋊C8C23semidirect
443. #14579072C23semidirect
444. #14579071C23semidirect
445. #14579071C23semidirect
450. C22×D4×C79C23semidirect
452. C2×SD16×C79C23semidirect
453. C2×SD16×C79C23semidirect
454. C2×SD16×C79C23semidirect
462. C2×M16×C79C23semidirect
464. #127×C79C23semidirect
472. #121×C79C23semidirect
478. C4×D4×C79C23semidirect
480. #106×C79C23semidirect
481. C4⋊C8×C79C23semidirect
482. #103×C79C23semidirect
485. #102×C79C23semidirect
486. #102×C79C23semidirect
487. #102×C79C23semidirect
489. C22⋊C8×C79C23semidirect
490. #97×C79C23semidirect
801. C22×D79AGL(1,ℤ/8)semidirect
826. D4×C79H(5,𝔽2)semidirect
893. D316H(5,𝔽2)semidirect
1033. #3264D79semidirect
1047. C79#61569semidirect
1054. C2×AGL(1,ℤ/8)C2×D79semidirect
1058. C22×D8C2×D79semidirect
1078. #546C2×D79semidirect
1082. D42C2×D79semidirect
1104. #496C2×D79semidirect
1132. #469C2×D79semidirect
1140. #465C2×D79semidirect
1148. #463C2×D79semidirect
1152. #459C2×D79semidirect
1156. #450C2×D79semidirect
1164. #449C2×D79semidirect
1187. #447C2×D79semidirect
1188. #447C2×D79semidirect
1196. #442C2×D79semidirect
1204. #435C2×D79semidirect
1261. C22×D4C22×D79semidirect
1275. C2×SD16C22×D79semidirect
1276. C2×SD16C22×D79semidirect
1277. C2×SD16C22×D79semidirect
1301. C2×M16C22×D79semidirect
1309. #127C22×D79semidirect
1383. #121C22×D79semidirect
1419. C4×D4C22×D79semidirect
1454. #106C22×D79semidirect
1458. C4⋊C8C22×D79semidirect
1466. #103C22×D79semidirect
1488. #102C22×D79semidirect
1489. #102C22×D79semidirect
1490. #102C22×D79semidirect
1502. C22⋊C8C22×D79semidirect
1506. #97C22×D79semidirect
1881. D4#14579206semidirect

Maximal subgroups

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

subgroupindex
#237771562
#546×D792
#237753682
#237753672
#237753662
#237753652
#237753632
#237753612
#237753562
#237753542
#237748842
#237748802
#237748792
#237748782
#237748762
#237748752
#237748742
#237743852
#237743822
#237741982
#237741962
#237741542
#237741522
#237734902
#237734892
#237726492
#237726482
C2×#190986952
#447×D792
#237724252
C79×#32642
#6156979