Finite Group Databasebeta

← #35173848

Subgroups — #35173848

Order 20224.

2226 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777683C211yesmaximal, characteristic, complemented
2#23777028C211yesmaximal, characteristic, complemented
3#23775626C211yesmaximal, characteristic, complemented
4#23775618C211yesmaximal, characteristic, complemented
5#23775548C211yesmaximal, characteristic, complemented
6#23775476C211yesmaximal, characteristic, complemented
7#23775429C211yesmaximal, characteristic, complemented
8#23775421C211yesmaximal, characteristic, complemented
9#23775255C211yesmaximal, characteristic, complemented
10#23775217C211yesmaximal, characteristic, complemented
11#23775110C211yesmaximal, characteristic, complemented
12#23775095C211yesmaximal, characteristic, complemented
13#23775031C211yesmaximal, characteristic, complemented
14#23774926C211yesmaximal, characteristic, complemented
15#23774916C211yesmaximal, characteristic, complemented
16#23774898C211yesmaximal, characteristic, complemented
17#23774889C211yesmaximal, characteristic, complemented
18#23774491C211yesmaximal, characteristic, complemented
19#23774465C211yesmaximal, characteristic, complemented
20#23774268C211yesmaximal, characteristic, complemented
21#23774251C211yesmaximal, characteristic, complemented
22#23774225C211yesmaximal, characteristic, complemented
23#23774190C211yesmaximal, characteristic, complemented
24#23773650C211yesmaximal, characteristic, complemented
25#23773580C211yesmaximal, characteristic, complemented
26#23772703C211yesmaximal, characteristic, complemented
27#23772672C211yesmaximal, characteristic, complemented
28#23772625C211yesmaximal, characteristic, complemented
29#450×D79C211yesmaximal, characteristic, complemented
30#23772444C211yesmaximal, characteristic, complemented
31C79×#3272C211yesmaximal, characteristic, complemented
32C2×#14579206C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579186C2211yescharacteristic, complemented
36C2×#14579181C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic, complemented
38C2×SD16×D79C2211yescharacteristic, complemented
39C2×SD16×D79C2211yescharacteristic, complemented
40#19099316—21no—
41#19099308—21no—
42#19099284C2211yescharacteristic, complemented
43#19099271C2211yescharacteristic, complemented
44#19099268—21no—
45#19099263C2211yescharacteristic, complemented
46#19099258—21no—
47#19099253C2211yescharacteristic, complemented
48#19099228C2211yescharacteristic, complemented
49#19099220C2211yescharacteristic, complemented
50#19099220C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic
52#19099209C2211yescharacteristic
53#19099208C2211yescharacteristic
54#19099207C2211yescharacteristic
55#19099202—21no—
56#19099200—21no—
57#19099198C2211yescharacteristic
58#19099197C2211yescharacteristic
59D4×C22⋊D79—21no—
60D4×C22⋊D79C2211yescharacteristic
61#19099195—21no—
62#19099181—21no—
63#19099178C2211yescharacteristic, complemented
64#19099174C2211yescharacteristic, complemented
65#19099160—21no—
66#19099149—21no—
67#19099145—21no—
68#19099141C2211yescharacteristic, complemented
69#19099136C2211yescharacteristic, complemented
70#19099129C2211yescharacteristic
71#19099126C2211yescharacteristic
72#19099123—21no—
73#19099121—21no—
74#19099073C2211yescharacteristic
75#19099072C2211yescharacteristic
76#19099070C2211yescharacteristic, complemented
77C22⋊Q8×D79C2211yescharacteristic, complemented
78C2×#14579129—21no—
79#120×D79—21no—
80#19099035C2211yescharacteristic
81#19098955C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098946C2211yescharacteristic, complemented
84#19098927C2211yescharacteristic, complemented
85#19098921C2211yescharacteristic, complemented
86#19098918C2211yescharacteristic, complemented
87#19098908C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098903C2211yescharacteristic, complemented
91#19098902C2211yescharacteristic, complemented
92#19098900C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic, complemented
97#19098882C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098874C2211yescharacteristic, complemented
100#19098864C2211yescharacteristic, complemented
101#19098863C2211yescharacteristic, complemented
102#19098851C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098821C2211yescharacteristic, complemented
105#19098819C2211yescharacteristic, complemented
106#19098813C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic, complemented
108#19098809C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098803C2211yescharacteristic, complemented
111#19098798C2211yescharacteristic, complemented
112#19098796C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098789C2211yescharacteristic, complemented
117#19098789C2211yescharacteristic, complemented
118#19098786C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098776C2211yescharacteristic, complemented
124#19098765C2211yescharacteristic, complemented
125#19098761C2211yescharacteristic, complemented
126#19098761C2211yescharacteristic, complemented
127#19098760C2211yescharacteristic, complemented
128#19098727C2211yescharacteristic, complemented
129#19098726C2211yescharacteristic, complemented
130#19098725C2211yescharacteristic, complemented
131#19098723C2211yescharacteristic, complemented
132#19098722C2211yescharacteristic, complemented
133#19098722C2211yescharacteristic, complemented
134#19098722C2211yescharacteristic, complemented
135#19098720C2211yescharacteristic, complemented
136#19098716C2211yescharacteristic, complemented
137#19098715C2211yescharacteristic
138#19098715C2211yescharacteristic, complemented
139#19098714C2211yescharacteristic, complemented
140#19098714C2211yescharacteristic, complemented
141#19098713C2211yescharacteristic, complemented
142#19098712C2211yescharacteristic
143#19098712C2211yescharacteristic
144#19098712C2211yescharacteristic, complemented
145#19098712C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098708C2211yescharacteristic, complemented
150#19098705C2211yescharacteristic, complemented
151#19098705C2211yescharacteristic, complemented
152#19098703C2211yescharacteristic, complemented
153#19098700C2211yescharacteristic, complemented
154#19098700C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic, complemented
160#19098673C2211yescharacteristic, complemented
161#19098666C2211yescharacteristic, complemented
162#19098664C2211yescharacteristic, complemented
163#19098663C2211yescharacteristic, complemented
164C4×#11929613C2211yescharacteristic, complemented
165SD16×Dic79C2211yescharacteristic, complemented
166#19098648C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098637C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic, complemented
170#19098633C2211yescharacteristic, complemented
171#19098632C2211yescharacteristic, complemented
172C8×D316C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174#19098623C2211yescharacteristic, complemented
175#19098622C2211yescharacteristic, complemented
176#19098569C2211yescharacteristic, complemented
177#19098568C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098565C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181C2×#14579082C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#19098531C2211yescharacteristic, complemented
185#19098528C2211yescharacteristic, complemented
186#19098526C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
190#547×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic
192#492×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#461×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#436×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204#14579206—42no—
205#14579206—42no—
206C2×#11929624C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211C2×Q8×D79C2311yescharacteristic
212C2×Q8×D79C2311yescharacteristic, complemented
213C22×D316C2311yescharacteristic
214C22×C22⋊D79—21no—
215C22×C22⋊D79—21no—
216C22×C22⋊D79—21no—
217C22×C22⋊D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—42no—
224C2×D4×D79—42no—
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579190—42no—
232#14579186—42no—
233#14579181—42no—
234C2×Dic316C2311yescharacteristic, complemented
235C2×#11929614C2311yescharacteristic, complemented
236C2×#11929614C2311yescharacteristic, complemented
237C2×#11929613C2311yescharacteristic
238C2×#11929613C2311yescharacteristic
239C2×#11929612C2311yescharacteristic
240C2×#11929612C2311yescharacteristic
241C2×#11929612C2311yescharacteristic, complemented
242C2×#11929612C2311yescharacteristic, complemented
243C2×#11929611C2311yescharacteristic
244C2×#11929611C2311yescharacteristic
245C2×#11929611C2311yescharacteristic
246C2×#11929611C2311yescharacteristic
247SD16×D79—42no—
248SD16×D79—42no—
249SD16×D79—42no—
250C2×#11929609C2311yescharacteristic
251C2×#11929609C2311yescharacteristic
252C2×#11929608C2311yescharacteristic
253C2×#11929607C2311yescharacteristic, complemented
254C22×C79⋊C8C2311yescharacteristic, complemented
255C2×C8×D79C2311yescharacteristic
256C2×C8×D79C2311yescharacteristic
257C2×C8×D79C2311yescharacteristic, complemented
258#14579160—21no—
259#14579160—21no—
260#14579160C2311yescharacteristic, complemented
261#14579157—21no—
262#14579157C2311yescharacteristic
263#14579156—21no—
264#14579156—21no—
265#14579156—21no—
266#14579154—21no—
267#14579154—21no—
268#14579154—21no—
269#14579154—21no—
270#14579153C2311yescharacteristic, complemented
271#14579151—21no—
272#14579151—21no—
273#14579151—21no—
274#14579151—21no—
275#14579149C2311yescharacteristic
276#14579148—21no—
277#14579148—21no—
278#14579148C2311yescharacteristic
279#14579148C2311yescharacteristic, complemented
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579146—21no—
285#14579146—21no—
286#14579146D411yescharacteristic
287#14579145—21no—
288#14579144—21no—
289#14579144—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143D411yescharacteristic
294#14579142—21no—
295#14579142—21no—
296#14579142—21no—
297#14579141—21no—
298#14579141C2311yescharacteristic
299#14579141C2311yescharacteristic
300#14579140—21no—
301#14579140—21no—
302#14579140—21no—
303#14579140—21no—
304#14579140C2311yescharacteristic
305#14579140C2311yescharacteristic
306#14579140C2311yescharacteristic, complemented
307#14579139—21no—
308#14579139—21no—
309#14579139—21no—
310#14579139D411yescharacteristic
311#14579138—21no—
312#14579138—21no—
313#14579138D411yescharacteristic
314#14579137C2311yescharacteristic
315#14579137C2311yescharacteristic
316#14579137C2311yescharacteristic
317#14579137C2311yescharacteristic, complemented
318#14579136C2311yescharacteristic
319#14579135—21no—
320#14579135—21no—
321#14579135C2311yescharacteristic
322#14579134—21no—
323#14579134—21no—
324#14579134—21no—
325#14579134D411yescharacteristic
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133D411yescharacteristic
333#14579132—21no—
334#14579132—21no—
335#14579132—21no—
336#14579132—21no—
337#14579132C2311yescharacteristic
338#14579132C2311yescharacteristic
339#14579132C2311yescharacteristic
340#14579132C2311yescharacteristic
341#14579132C2311yescharacteristic, complemented
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131D411yescharacteristic
346#14579130—21no—
347#14579130—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351#14579129—21no—
352#14579129—21no—
353#14579129—21no—
354#14579129—21no—
355#14579129—21no—
356#14579129—21no—
357#14579129—21no—
358#14579129—21no—
359#14579129D411yescharacteristic
360Q8×Dic79C2311yescharacteristic, complemented
361Q8×Dic79C2311yescharacteristic, complemented
362C4×Dic158C2311yescharacteristic, complemented
363#14579126—21no—
364C4×D316C2311yescharacteristic
365C4×D316C2311yescharacteristic
366D4×Dic79—21no—
367D4×Dic79C2311yescharacteristic
368#14579123—21no—
369#14579123C2311yescharacteristic
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79—21no—
376C4×C22⋊D79C2311yescharacteristic
377C4×C22⋊D79C2311yescharacteristic
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381#14579120C2311yescharacteristic
382#14579119C2311yescharacteristic
383#14579119C2311yescharacteristic, complemented
384#14579118C2311yescharacteristic
385#14579117—21no—
386C2×C4⋊Dic79C2311yescharacteristic, complemented
387C4⋊C4×D79—21no—
388C4⋊C4×D79C2311yescharacteristic
389C2×C22⋊Dic79—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C22⋊C4×D79—21no—
396#14579095C2311yescharacteristic, complemented
397#14579094C2311yescharacteristic, complemented
398#14579094C2311yescharacteristic, complemented
399#14579093C2311yescharacteristic, complemented
400#14579093C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579086C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579084C2311yescharacteristic, complemented
413#14579084C2311yescharacteristic, complemented
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic, complemented
427#14579082C2311yescharacteristic, complemented
428#14579082C2311yescharacteristic, complemented
429#14579082C2311yescharacteristic, complemented
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic, complemented
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442#14579072C2311yescharacteristic, complemented
443#14579071C2311yescharacteristic, complemented
444C8×Dic79C2311yescharacteristic, complemented
445C2×#41×C79C2311yescharacteristic
446C2×#41×C79C2311yescharacteristic, complemented
447C22×D4×C79—21no—
448C22×D4×C79C2311yescharacteristic
449C22×D4×C79C2311yescharacteristic
450AGL(1,ℤ/8)×C79—42no—
451AGL(1,ℤ/8)×C79—42no—
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C2×SD16×C79C2311yescharacteristic
456C2×SD16×C79C2311yescharacteristic, complemented
457C2×SD16×C79C2311yescharacteristic, complemented
458C2×D8×C79C2311yescharacteristic
459C2×D8×C79C2311yescharacteristic
460C2×D8×C79C2311yescharacteristic, complemented
461C2×M16×C79C2311yescharacteristic
462C2×M16×C79C2311yescharacteristic, complemented
463C4⋊Q8×C79C2311yescharacteristic, complemented
464#127×C79C2311yescharacteristic
465#123×C79—21no—
466#123×C79—21no—
467C22⋊Q8×C79C2311yescharacteristic
468C22⋊Q8×C79C2311yescharacteristic, complemented
469#121×C79—21no—
470#121×C79—21no—
471#121×C79C2311yescharacteristic
472#121×C79C2311yescharacteristic
473#120×C79—21no—
474#120×C79—21no—
475C4×D4×C79C2311yescharacteristic
476C4×D4×C79C2311yescharacteristic
477C4×D4×C79C2311yescharacteristic, complemented
478C2×C4⋊C4×C79—21no—
479#107×C79C2311yescharacteristic, complemented
480C4⋊C8×C79C2311yescharacteristic, complemented
481#103×C79C2311yescharacteristic, complemented
482#103×C79C2311yescharacteristic, complemented
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic, complemented
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489C4×C8×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—44no—
497C23×D79—82no—
498C23×D79—82no—
499C23×D79C2×D411yescharacteristic
500#11929624—22no—
501#11929624—41no—
502#11929624—41no—
503#11929624—41no—
504#11929623—22no—
505#11929623—44no—
506#11929623—41no—
507#11929623—41no—
508#11929623—41no—
509C2×Dic158—21no—
510C2×Dic158—21no—
511C2×Dic158—21no—
512C2×Dic158C2×D411yescharacteristic
513C2×Dic158C2411yescharacteristic
514C2×Dic158C2411yescharacteristic
515Q8×D79—41no—
516Q8×D79—41no—
517Q8×D79—41no—
518Q8×D79—41no—
519C2×D316—21no—
520C2×D316—22no—
521C2×D316—21no—
522C2×D316—41no—
523C2×D316C2×D411yescharacteristic
524C2×D316C2×D411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×D316C2411yescharacteristic
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—44no—
544C2×C22⋊D79—44no—
545C2×C22⋊D79—44no—
546C2×C22⋊D79—82no—
547C2×C22⋊D79C2×D411yescharacteristic
548C2×C22⋊D79C2×D411yescharacteristic
549C2×C22⋊D79C2×D411yescharacteristic
550C2×C22⋊D79C2×D411yescharacteristic
551D4×D79—22no—
552D4×D79—22no—
553D4×D79—22no—
554D4×D79—22no—
555D4×D79—22no—
556D4×D79—44no—
557D4×D79—41no—
558D4×D79—41no—
559D4×D79—41no—
560D4×D79—41no—
561D4×D79—41no—
562D4×D79—44no—
563D4×D79—44no—
564D4×D79—82no—
565D4×D79—82no—
566C22×Dic79—21no—
567C22×Dic79—21no—
568C22×Dic79—21no—
569C22×Dic79—21no—
570C22×Dic79C2×D411yescharacteristic
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—41no—
578C2×C4×D79—41no—
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2×D411yescharacteristic
581C2×C4×D79C2411yescharacteristic
582C2×C4×D79C2411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584Dic316—41no—
585#11929614—41no—
586#11929614—41no—
587#11929613—22no—
588#11929613—41no—
589#11929612—22no—
590#11929612—41no—
591#11929612—41no—
592#11929612—41no—
593#11929611—22no—
594#11929611—22no—
595#11929611—41no—
596#11929611—41no—
597#11929609—22no—
598#11929609—41no—
599#11929608—41no—
600#11929607—41no—
601C2×C79⋊C8—41no—
602C2×C79⋊C8C2411yescharacteristic
603C2×C79⋊C8C2411yescharacteristic
604C2×C79⋊C8C2411yescharacteristic
605C2×C79⋊C8C2411yescharacteristic
606C8×D79—41no—
607C8×D79—41no—
608C8×D79—41no—
609C4⋊Dic79—21no—
610C4⋊Dic79—21no—
611C4⋊Dic79—21no—
612C4⋊Dic79—21no—
613C4⋊Dic79—21no—
614C4⋊Dic79C2×D411yescharacteristic
615C4⋊Dic79C2411yescharacteristic
616C4⋊Dic79C2411yescharacteristic
617C4⋊Dic79C2411yescharacteristic
618C4⋊Dic79C2411yescharacteristic
619Dic79⋊C4—21no—
620Dic79⋊C4—21no—
621Dic79⋊C4—21no—
622Dic79⋊C4—21no—
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4C2×D411yescharacteristic
632Dic79⋊C4C2×D411yescharacteristic
633Dic79⋊C4C2×D411yescharacteristic
634Dic79⋊C4C2×D411yescharacteristic
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79C2×D411yescharacteristic
650C22⋊Dic79C2×D411yescharacteristic
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4C2×D411yescharacteristic
666(C2×D79)⋊C4C2×D411yescharacteristic
667(C2×D79)⋊C4C2×D411yescharacteristic
668(C2×D79)⋊C4C2×D411yescharacteristic
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671C4×Dic79—21no—
672C4×Dic79—21no—
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79C2411yescharacteristic
678C24×C79—21no—
679C24×C79—21no—
680#41×C79—41no—
681#41×C79—41no—
682#41×C79—41no—
683#41×C79—41no—
684C2×Q8×C79C2411yescharacteristic
685C2×Q8×C79C2411yescharacteristic
686C2×D4×C79—22no—
687C2×D4×C79—22no—
688C2×D4×C79—21no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—41no—
697C2×D4×C79—41no—
698C2×D4×C79—82no—
699C2×D4×C79C2×D411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C22×C4×C79—21no—
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710SD16×C79—22no—
711SD16×C79—22no—
712SD16×C79—41no—
713SD16×C79—41no—
714SD16×C79—41no—
715SD16×C79—41no—
716D8×C79—22no—
717D8×C79—41no—
718D8×C79—41no—
719M16×C79—41no—
720M16×C79—41no—
721C2×C8×C79C2411yescharacteristic
722C2×C8×C79C2411yescharacteristic
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C4⋊C4×C79—21no—
726C4⋊C4×C79—21no—
727C4⋊C4×C79—21no—
728C4⋊C4×C79—21no—
729C4⋊C4×C79C2×D411yescharacteristic
730C4⋊C4×C79C2411yescharacteristic
731C4⋊C4×C79C2411yescharacteristic
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C22⋊C4×C79C2×D411yescharacteristic
739C22⋊C4×C79C2×D411yescharacteristic
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—21no—
745C23×C79—42no—
746C23×C79—42no—
747C23×C79—42no—
748C23×C79—81no—
749C23×C79—81no—
750C23×C79—81no—
751C23×C79C22×D411yescharacteristic
752C23×C79C22×D411yescharacteristic
753C22×D79—21no—
754C22×D79—24no—
755C22×D79—22no—
756C22×D79—21no—
757C22×D79—41no—
758C22×D79—41no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—42no—
766C22×D79—42no—
767C22×D79—81no—
768C22×D79—81no—
769C22×D79—81no—
770C22×D79—81no—
771C22×D79—81no—
772C22×D79—81no—
773C22×D79—81no—
774C22×D79—81no—
775C22×D79—81no—
776C22×D79—816no—
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782Q8×C79—21no—
783Q8×C79—21no—
784D4×C79—21no—
785D4×C79—21no—
786D4×C79—21no—
787D4×C79—21no—
788D4×C79—21no—
789D4×C79—21no—
790D4×C79—21no—
791D4×C79—41no—
792D4×C79—42no—
793D4×C79—42no—
794D4×C79—42no—
795D4×C79—81no—
796D4×C79—81no—
797D4×C79—81no—
798D4×C79—81no—
799D4×C79—81no—
800D4×C79H(5,𝔽2)12yes—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—21no—
804C2×C4×C79—21no—
805C2×C4×C79—21no—
806C2×C4×C79—21no—
807C2×C4×C79—21no—
808C2×C4×C79—21no—
809C2×C4×C79—81no—
810C2×C4×C79—81no—
811C2×C4×C79—81no—
812C2×C4×C79—81no—
813C2×C4×C79C22×D411yescharacteristic
814C2×C4×C79C22×D411yescharacteristic
815C2×C4×C79C22×D411yescharacteristic
816C2×C4×C79C22×D411yescharacteristic
817C2×C4×C79C2511yescharacteristic
818C22⋊D79—24no—
819C22⋊D79—22no—
820C22⋊D79—41no—
821C22⋊D79—41no—
822C22⋊D79—41no—
823C22⋊D79—42no—
824C22⋊D79—42no—
825C22⋊D79—42no—
826C22⋊D79—42no—
827C22⋊D79—42no—
828C22⋊D79—42no—
829C22⋊D79—42no—
830C22⋊D79—42no—
831C22⋊D79—42no—
832C22⋊D79—81no—
833C22⋊D79—81no—
834C22⋊D79—81no—
835C22⋊D79—81no—
836C22⋊D79—81no—
837C22⋊D79—81no—
838C2×Dic79—21no—
839C2×Dic79—21no—
840C2×Dic79—21no—
841C2×Dic79—21no—
842C2×Dic79—21no—
843C2×Dic79—21no—
844C2×Dic79—41no—
845C2×Dic79—42no—
846C2×Dic79—42no—
847C2×Dic79—81no—
848C2×Dic79—81no—
849C2×Dic79C22×D411yescharacteristic
850C2×Dic79C22×D411yescharacteristic
851C2×Dic79C22×D411yescharacteristic
852C2×Dic79C22×D411yescharacteristic
853C2×Dic79C22×D411yescharacteristic
854D316—22no—
855D316—21no—
856D316—21no—
857D316—21no—
858D316—41no—
859D316—42no—
860D316—81no—
861D316H(5,𝔽2)12yes—
862C4×D79—21no—
863C4×D79—21no—
864C4×D79—21no—
865C4×D79—21no—
866C4×D79—21no—
867C4×D79—21no—
868C4×D79—41no—
869C4×D79—41no—
870C4×D79—42no—
871C4×D79—81no—
872C4×D79—81no—
873C4×D79—81no—
874C4×D79—81no—
875C4×D79—81no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—41no—
881Dic158—81no—
882Dic158—81no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—22no—
895C22×C79—21no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—21no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—41no—
907C22×C79—41no—
908C22×C79—41no—
909C22×C79—41no—
910C22×C79—84no—
911C22×C79—162no—
912C22×C79C23×D411yescharacteristic
913C2×D79—21no—
914C2×D79—21no—
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—22no—
918C2×D79—21no—
919C2×D79—21no—
920C2×D79—21no—
921C2×D79—21no—
922C2×D79—44no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—41no—
928C2×D79—84no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—162no—
934C2×D79#57712yes—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79C2×H(5,𝔽2)11yescharacteristic
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945Dic79—21no—
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—41no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61610—791nomaximal, Sylow
957C2×C79—41no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79—81no—
963C2×C79#348411yescharacteristic
964C2×C79C2×#57711yescharacteristic
965C2×C79#358511yescharacteristic
966D79—22no—
967D79—41no—
968D79—41no—
969D79—42no—
970D79—81no—
971#3541—791no—
972#3484—791no—
973#3324—791no—
974#3323—791no—
975#3318—791no—
976#3314—791no—
977#3311—791no—
978#3310—791no—
979#3297—791no—
980#3295—791no—
981#3282—791no—
982D4×SD16—791no—
983#3275—791no—
984#3272D7911yescharacteristic, complemented
985#3267—791no—
986#3266—791no—
987#3265—791no—
988#3265—791no—
989#3224—791no—
990#3222—791no—
991#3200—791no—
992#3198—791no—
993#3196—791no—
994#3191—791no—
995#3123—791no—
996#3118—791no—
997#3012—791no—
998#3009—791no—
999#3003—791no—
1000C2×#450—791no—
1001#2976—791no—
1002C79#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)—791no—
1004C23×D4—791no—
1005C2×#137—791no—
1006C2×AGL(1,ℤ/8)—791no—
1007C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1008C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1009C2×#135—791no—
1010C22×SD16—791no—
1011C22×SD16—791no—
1012C22×SD16—791no—
1013#563—1581no—
1014#562—1581no—
1015#556—791no—
1016#554—791no—
1017#554—1581no—
1018#553—791no—
1019#553—1581no—
1020#552—791no—
1021D4×Q8—791no—
1022#548—791no—
1023#548—791no—
1024#547C2×D7911yescharacteristic, complemented
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—1581no—
1030#546—1581no—
1031D42—791no—
1032D42—791no—
1033D42—791no—
1034D42—1581no—
1035D42—1581no—
1036D42C2×D7911yescharacteristic
1037#542—791no—
1038#542—1581no—
1039#541—791no—
1040#539—1581no—
1041#538—1581no—
1042#538—1581no—
1043#537—791no—
1044#536—791no—
1045#535—791no—
1046#535—791no—
1047#534—1581no—
1048#534—1581no—
1049#525—791no—
1050#525—791no—
1051#525—791no—
1052C2×C22⋊Q8—791no—
1053C2×#120—1581no—
1054C2×#120—1581no—
1055#518—791no—
1056#497—791no—
1057#496—791no—
1058#495—791no—
1059#492C2×D7911yescharacteristic, complemented
1060#490—791no—
1061#489—791no—
1062#488—791no—
1063#486—791no—
1064#485—791no—
1065#485—791no—
1066#485—791no—
1067#485—791no—
1068#484—791no—
1069#482—791no—
1070#482—791no—
1071#482—791no—
1072#482—791no—
1073#481—791no—
1074#481—791no—
1075#480—791no—
1076#478—791no—
1077#478—791no—
1078#476—791no—
1079#474—791no—
1080#470—791no—
1081#470—791no—
1082#469—791no—
1083#468—791no—
1084#468—791no—
1085#468—791no—
1086#468C2×D7911yescharacteristic, complemented
1087#468C2×D7911yescharacteristic, complemented
1088#467—791no—
1089#466—791no—
1090#466—791no—
1091#465—791no—
1092#465—791no—
1093#465—791no—
1094#465—791no—
1095#465—791no—
1096#464—791no—
1097#464—791no—
1098#464—791no—
1099#463—791no—
1100#463—791no—
1101#463—791no—
1102#461—791no—
1103#461C2×D7911yescharacteristic, complemented
1104#460—791no—
1105#460—791no—
1106#460—791no—
1107#459C2×D7911yescharacteristic, complemented
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452—791no—
1112#452—791no—
1113#452—791no—
1114#452—791no—
1115#451—791no—
1116#450—791no—
1117#450—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#450—791no—
1127#450—791no—
1128#450—791no—
1129#450C2×D7911yescharacteristic, complemented
1130#450C2×D7911yescharacteristic, complemented
1131#449—791no—
1132#449—791no—
1133#449—791no—
1134#449C2×D7911yescharacteristic, complemented
1135#449C2×D7911yescharacteristic, complemented
1136#448—791no—
1137#448—791no—
1138#448—791no—
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447—791no—
1144#442—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148C4×SD16—791no—
1149C4×SD16—791no—
1150C4×SD16—791no—
1151C4×D8C2×D7911yescharacteristic, complemented
1152#436—791no—
1153#436C2×D7911yescharacteristic, complemented
1154#435—791no—
1155#435—791no—
1156#435—791no—
1157#435—791no—
1158C8×D4—791no—
1159C8×D4—791no—
1160#433—791no—
1161#433—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#417—791no—
1166#416—791no—
1167C2×#102—791no—
1168C2×#102—791no—
1169C2×#102—791no—
1170#408—791no—
1171#408—791no—
1172#407—791no—
1173C2×C22⋊C8—791no—
1174C25—1581no—
1175H(5,𝔽2)—3162no—
1176H(5,𝔽2)—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—1581no—
1182C2×#41C22×D7911yescharacteristic
1183C2×#41C22×D7911yescharacteristic, complemented
1184C22×Q8—791no—
1185C22×Q8—791no—
1186C22×D4—21no—
1187C22×D4—3162no—
1188C22×D4—3162no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4—1581no—
1203C22×D4—1581no—
1204C22×D4C22×D7911yescharacteristic
1205C22×D4C22×D7911yescharacteristic
1206C23×C4—791no—
1207#137—3162no—
1208AGL(1,ℤ/8)—42no—
1209AGL(1,ℤ/8)—42no—
1210AGL(1,ℤ/8)—3162no—
1211#135—3162no—
1212C2×Q16—791no—
1213C2×Q16—791no—
1214C2×Q16—791no—
1215C2×SD16—3162no—
1216C2×SD16—3162no—
1217C2×SD16—3162no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16—791no—
1226C2×SD16—791no—
1227C2×SD16—791no—
1228C2×SD16C22×D7911yescharacteristic
1229C2×SD16C22×D7911yescharacteristic
1230C2×SD16C22×D7911yescharacteristic
1231C2×SD16C22×D7911yescharacteristic
1232C2×SD16C22×D7911yescharacteristic, complemented
1233C2×SD16C22×D7911yescharacteristic, complemented
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8C22×D7911yescharacteristic
1237C2×D8C22×D7911yescharacteristic
1238C2×D8C22×D7911yescharacteristic, complemented
1239C2×M16—791no—
1240C2×M16—791no—
1241C2×M16C22×D7911yescharacteristic
1242C2×M16C22×D7911yescharacteristic, complemented
1243C22×C8—791no—
1244C22×C8—791no—
1245C22×C8—791no—
1246C22×C8—791no—
1247C4⋊Q8—791no—
1248C4⋊Q8—1581no—
1249C4⋊Q8—1581no—
1250C4⋊Q8C22×D7911yescharacteristic, complemented
1251#127—791no—
1252#127—1581no—
1253#127C22×D7911yescharacteristic
1254#126—1581no—
1255#126—1581no—
1256#126—1581no—
1257#126—1581no—
1258#126—1581no—
1259#126—1581no—
1260#126—1581no—
1261#125—791no—
1262#125—1581no—
1263#125—1581no—
1264#125—1581no—
1265#125—1581no—
1266#124—791no—
1267#124—791no—
1268#124—791no—
1269#124—1581no—
1270#124—1581no—
1271#124—1581no—
1272#124—1581no—
1273#124—1581no—
1274#124—1581no—
1275#123—21no—
1276#123—21no—
1277#123—791no—
1278#123—791no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285#123—1581no—
1286#123—1581no—
1287#123—1581no—
1288#123—1581no—
1289#123—1581no—
1290C22⋊Q8—791no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—791no—
1297C22⋊Q8—791no—
1298C22⋊Q8—791no—
1299C22⋊Q8—791no—
1300C22⋊Q8—791no—
1301C22⋊Q8—1581no—
1302C22⋊Q8—1581no—
1303C22⋊Q8—1581no—
1304C22⋊Q8—1581no—
1305C22⋊Q8—1581no—
1306C22⋊Q8—1581no—
1307C22⋊Q8—1581no—
1308C22⋊Q8—1581no—
1309C22⋊Q8—1581no—
1310C22⋊Q8—1581no—
1311C22⋊Q8C22×D7911yescharacteristic
1312C22⋊Q8C22×D7911yescharacteristic, complemented
1313#121—21no—
1314#121—21no—
1315#121—791no—
1316#121—791no—
1317#121—791no—
1318#121—791no—
1319#121—791no—
1320#121—791no—
1321#121—791no—
1322#121—791no—
1323#121—791no—
1324#121—1581no—
1325#121—1581no—
1326#121—1581no—
1327#121—1581no—
1328#121—1581no—
1329#121—1581no—
1330#121—1581no—
1331#121—1581no—
1332#121—1581no—
1333#121—1581no—
1334#121—1581no—
1335#121—1581no—
1336#121—1581no—
1337#121—1581no—
1338#121—1581no—
1339#121C22×D7911yescharacteristic
1340#121C22×D7911yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—791no—
1344#120—791no—
1345#120—1581no—
1346#120—1581no—
1347#120—1581no—
1348#120—1581no—
1349#120—1581no—
1350#120—1581no—
1351#120—1581no—
1352#120—1581no—
1353#120—1581no—
1354#120—1581no—
1355#120—1581no—
1356#120—1581no—
1357#120—1581no—
1358#120—1581no—
1359#120—1581no—
1360#120—1581no—
1361C4×Q8—791no—
1362C4×Q8—791no—
1363C4×Q8—791no—
1364C4×Q8—1581no—
1365C4×D4—791no—
1366C4×D4—791no—
1367C4×D4—791no—
1368C4×D4—791no—
1369C4×D4—791no—
1370C4×D4—791no—
1371C4×D4—1581no—
1372C4×D4—1581no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377C4×D4—1581no—
1378C4×D4—1581no—
1379C4×D4—1581no—
1380C4×D4—1581no—
1381C4×D4—1581no—
1382C4×D4C22×D7911yescharacteristic
1383C4×D4C22×D7911yescharacteristic
1384C4×D4C22×D7911yescharacteristic, complemented
1385#117—791no—
1386#117—791no—
1387#117—791no—
1388#117—791no—
1389#117—1581no—
1390C2×C4⋊C4—21no—
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—791no—
1393C2×C4⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C22⋊C4—1581no—
1401#107—791no—
1402#107—791no—
1403#107—791no—
1404#107C22×D7911yescharacteristic, complemented
1405#106—791no—
1406#106—791no—
1407#106—791no—
1408#106—791no—
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103—791no—
1421#103C22×D7911yescharacteristic, complemented
1422#103C22×D7911yescharacteristic, complemented
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102C22×D7911yescharacteristic
1442#102C22×D7911yescharacteristic
1443#102C22×D7911yescharacteristic, complemented
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457#97—791no—
1458#97—791no—
1459C4×C8—791no—
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—3164no—
1464C24—791no—
1465C24—6322no—
1466C24—6322no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—3161no—
1478#41—3161no—
1479#41—3161no—
1480#41—3164no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—3161no—
1487C2×Q8—3161no—
1488C2×Q8—3161no—
1489C2×Q8—3161no—
1490C2×Q8—791no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—1581no—
1494C2×Q8—1581no—
1495C2×Q8—1581no—
1496C2×Q8C23×D7911yescharacteristic
1497C2×Q8C23×D7911yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—3161no—
1512C2×D4—3164no—
1513C2×D4—3164no—
1514C2×D4—3164no—
1515C2×D4—3164no—
1516C2×D4—3164no—
1517C2×D4—3164no—
1518C2×D4—3161no—
1519C2×D4—3161no—
1520C2×D4—3161no—
1521C2×D4—3161no—
1522C2×D4—3161no—
1523C2×D4—791no—
1524C2×D4—791no—
1525C2×D4—791no—
1526C2×D4—791no—
1527C2×D4—791no—
1528C2×D4—791no—
1529C2×D4—791no—
1530C2×D4—791no—
1531C2×D4—6322no—
1532C2×D4—6322no—
1533C2×D4—6322no—
1534C2×D4—1582no—
1535C2×D4—1581no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1582no—
1544C2×D4—1582no—
1545C2×D4—1582no—
1546C2×D4—1581no—
1547C2×D4—1581no—
1548C2×D4—1581no—
1549C2×D4—1581no—
1550C2×D4—1581no—
1551C2×D4—1582no—
1552C2×D4—1581no—
1553C2×D4—1581no—
1554C2×D4—1581no—
1555C2×D4—1581no—
1556C2×D4—1582no—
1557C2×D4—1581no—
1558C2×D4D4×D7911yescharacteristic
1559C2×D4C23×D7911yescharacteristic
1560C2×D4C23×D7911yescharacteristic
1561C2×D4C23×D7911yescharacteristic
1562C2×D4C23×D7911yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—3161no—
1568C22×C4—3161no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—791no—
1572C22×C4—791no—
1573C22×C4—791no—
1574C22×C4—791no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4—1581no—
1584C22×C4—1581no—
1585C22×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—3161no—
1588Q16—3161no—
1589Q16—3161no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—41no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—3161no—
1601SD16—3161no—
1602SD16—1582no—
1603SD16—1582no—
1604SD16—1582no—
1605SD16—1582no—
1606D8—22no—
1607D8—41no—
1608D8—41no—
1609D8—3161no—
1610D8—1582no—
1611M16—41no—
1612M16—41no—
1613M16—3161no—
1614M16—3161no—
1615C2×C8—3161no—
1616C2×C8—3161no—
1617C2×C8—3161no—
1618C2×C8—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—791no—
1639C4⋊C4—791no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4—1581no—
1653C4⋊C4—1581no—
1654C4⋊C4—1581no—
1655C4⋊C4—1581no—
1656C4⋊C4—1581no—
1657C4⋊C4D4×D7911yescharacteristic
1658C4⋊C4C23×D7911yescharacteristic
1659C4⋊C4C23×D7911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—791no—
1672C22⋊C4—791no—
1673C22⋊C4—791no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—791no—
1705C42—1581no—
1706C42—1581no—
1707C42—1581no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—3161no—
1723C23—3161no—
1724C23—3162no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—3162no—
1730C23—3162no—
1731C23—3162no—
1732C23—791no—
1733C23—791no—
1734C23—791no—
1735C23—6321no—
1736C23—6321no—
1737C23—6321no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—6321no—
1743C23—6321no—
1744C23—63216no—
1745C23—1582no—
1746C23—1584no—
1747C23—1581no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—3161no—
1756Q8—6321no—
1757Q8—6321no—
1758Q8—6321no—
1759Q8—1581no—
1760Q8—1581no—
1761Q8—1581no—
1762Q8—1581no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—3162no—
1780D4—3161no—
1781D4—3162no—
1782D4—3162no—
1783D4—3162no—
1784D4—3162no—
1785D4—3162no—
1786D4—3162no—
1787D4—3161no—
1788D4—3161no—
1789D4—3161no—
1790D4—3162no—
1791D4—3162no—
1792D4—3162no—
1793D4—792no—
1794D4—6321no—
1795D4—6321no—
1796D4—6321no—
1797D4—6321no—
1798D4—6321no—
1799D4—6321no—
1800D4—6321no—
1801D4—1582no—
1802D4—1582no—
1803D4—1584no—
1804D4—1581no—
1805D4—1581no—
1806D4—1581no—
1807D4#1457920612yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—3162no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3162no—
1824C2×C4—3162no—
1825C2×C4—3161no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—22no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—84no—
1882C22—162no—
1883C22—3164no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—3161no—
1889C22—792no—
1890C22—6324no—
1891C22—6324no—
1892C22—6324no—
1893C22—6324no—
1894C22—6324no—
1895C22—1581no—
1896C22—1582no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—1581no—
1904C22—12642no—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—3161no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920611yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—3161no—
1934C2—3162no—
1935C2—3161no—
1936C2—6321no—
1937C2—1582no—
1938C2#2377702811yescharacteristic
1939C2#577×D7911yescharacteristic
1940C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3272C2
socleC22×C79C23×D4
hypercenter#3272D79
hypocenterC79#61610
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3272

Complements

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

NH ≅ G/Ntype
1. #23777683C2semidirect
2. #23777028C2semidirect
3. #23775626C2semidirect
4. #23775618C2semidirect
5. #23775548C2semidirect
6. #23775476C2semidirect
7. #23775429C2semidirect
8. #23775421C2semidirect
9. #23775255C2semidirect
10. #23775217C2semidirect
11. #23775110C2semidirect
12. #23775095C2semidirect
13. #23775031C2semidirect
14. #23774926C2semidirect
15. #23774916C2semidirect
16. #23774898C2semidirect
17. #23774889C2semidirect
18. #23774491C2semidirect
19. #23774465C2semidirect
20. #23774268C2semidirect
21. #23774251C2semidirect
22. #23774225C2semidirect
23. #23774190C2semidirect
24. #23773650C2semidirect
25. #23773580C2semidirect
26. #23772703C2semidirect
27. #23772672C2semidirect
28. #23772625C2semidirect
29. #450×D79C2semidirect
30. #23772444C2semidirect
31. C79×#3272C2semidirect
34. C2×#14579190C22semidirect
35. C2×#14579186C22semidirect
36. C2×#14579181C22semidirect
37. C2×SD16×D79C22semidirect
38. C2×SD16×D79C22semidirect
39. C2×SD16×D79C22semidirect
42. #19099284C22semidirect
43. #19099271C22semidirect
45. #19099263C22semidirect
47. #19099253C22semidirect
48. #19099228C22semidirect
49. #19099220C22semidirect
50. #19099220C22semidirect
63. #19099178C22semidirect
64. #19099174C22semidirect
68. #19099141C22semidirect
69. #19099136C22semidirect
76. #19099070C22semidirect
77. C22⋊Q8×D79C22semidirect
81. #19098955C22semidirect
82. #19098951C22semidirect
83. #19098946C22semidirect
84. #19098927C22semidirect
85. #19098921C22semidirect
86. #19098918C22semidirect
87. #19098908C22semidirect
88. #19098906C22semidirect
89. #19098905C22semidirect
90. #19098903C22semidirect
91. #19098902C22semidirect
92. #19098900C22semidirect
93. #19098890C22semidirect
94. #19098886C22semidirect
95. #19098885C22semidirect
96. #19098884C22semidirect
97. #19098882C22semidirect
98. #19098880C22semidirect
99. #19098874C22semidirect
100. #19098864C22semidirect
101. #19098863C22semidirect
102. #19098851C22semidirect
103. #19098842C22semidirect
104. #19098821C22semidirect
105. #19098819C22semidirect
106. #19098813C22semidirect
107. #19098812C22semidirect
108. #19098809C22semidirect
109. #19098807C22semidirect
110. #19098803C22semidirect
111. #19098798C22semidirect
112. #19098796C22semidirect
113. #19098794C22semidirect
114. #19098791C22semidirect
115. #19098790C22semidirect
116. #19098789C22semidirect
117. #19098789C22semidirect
118. #19098786C22semidirect
119. #19098783C22semidirect
120. #19098783C22semidirect
121. #19098778C22semidirect
122. #19098777C22semidirect
123. #19098776C22semidirect
124. #19098765C22semidirect
125. #19098761C22semidirect
126. #19098761C22semidirect
127. #19098760C22semidirect
128. #19098727C22semidirect
129. #19098726C22semidirect
130. #19098725C22semidirect
131. #19098723C22semidirect
132. #19098722C22semidirect
133. #19098722C22semidirect
134. #19098722C22semidirect
135. #19098720C22semidirect
136. #19098716C22semidirect
138. #19098715C22semidirect
139. #19098714C22semidirect
140. #19098714C22semidirect
141. #19098713C22semidirect
144. #19098712C22semidirect
145. #19098712C22semidirect
146. #19098712C22semidirect
147. #19098712C22semidirect
148. #19098712C22semidirect
149. #19098708C22semidirect
150. #19098705C22semidirect
151. #19098705C22semidirect
152. #19098703C22semidirect
153. #19098700C22semidirect
154. #19098700C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098695C22semidirect
160. #19098673C22semidirect
161. #19098666C22semidirect
162. #19098664C22semidirect
163. #19098663C22semidirect
164. C4×#11929613C22semidirect
165. SD16×Dic79C22semidirect
166. #19098648C22semidirect
167. #19098639C22semidirect
168. #19098637C22semidirect
169. #19098635C22semidirect
170. #19098633C22semidirect
171. #19098632C22semidirect
172. C8×D316C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. #19098623C22semidirect
175. #19098622C22semidirect
176. #19098569C22semidirect
177. #19098568C22semidirect
178. #19098566C22semidirect
179. #19098565C22semidirect
180. #19098556C22semidirect
181. C2×#14579082C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
184. #19098531C22semidirect
185. #19098528C22semidirect
186. #19098526C22semidirect
187. C22⋊C8×D79C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C2×AGL(1,ℤ/8)×C79C22semidirect
190. #547×C79C22semidirect
192. #492×C79C22semidirect
193. #468×C79C22semidirect
194. #468×C79C22semidirect
195. #461×C79C22semidirect
196. #459×C79C22semidirect
197. #450×C79C22semidirect
198. #450×C79C22semidirect
199. #449×C79C22semidirect
200. #449×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #436×C79C22semidirect
212. C2×Q8×D79C23semidirect
234. C2×Dic316C23semidirect
235. C2×#11929614C23semidirect
236. C2×#11929614C23semidirect
241. C2×#11929612C23semidirect
242. C2×#11929612C23semidirect
253. C2×#11929607C23semidirect
254. C22×C79⋊C8C23semidirect
257. C2×C8×D79C23semidirect
260. #14579160C23semidirect
270. #14579153C23semidirect
279. #14579148C23semidirect
306. #14579140C23semidirect
317. #14579137C23semidirect
341. #14579132C23semidirect
360. Q8×Dic79C23semidirect
361. Q8×Dic79C23semidirect
362. C4×Dic158C23semidirect
383. #14579119C23semidirect
386. C2×C4⋊Dic79C23semidirect
396. #14579095C23semidirect
397. #14579094C23semidirect
398. #14579094C23semidirect
399. #14579093C23semidirect
400. #14579093C23semidirect
401. #14579092C23semidirect
402. #14579092C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579086C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579084C23semidirect
413. #14579084C23semidirect
426. #14579082C23semidirect
427. #14579082C23semidirect
428. #14579082C23semidirect
429. #14579082C23semidirect
433. C22⋊(C79⋊C8)C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. #14579072C23semidirect
443. #14579071C23semidirect
444. C8×Dic79C23semidirect
446. C2×#41×C79C23semidirect
456. C2×SD16×C79C23semidirect
457. C2×SD16×C79C23semidirect
460. C2×D8×C79C23semidirect
462. C2×M16×C79C23semidirect
463. C4⋊Q8×C79C23semidirect
468. C22⋊Q8×C79C23semidirect
477. C4×D4×C79C23semidirect
479. #107×C79C23semidirect
480. C4⋊C8×C79C23semidirect
481. #103×C79C23semidirect
482. #103×C79C23semidirect
485. #102×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C4×C8×C79C23semidirect
984. #3272D79semidirect
1002. C79#61610semidirect
1007. C2×AGL(1,ℤ/8)C2×D79semidirect
1008. C2×AGL(1,ℤ/8)C2×D79semidirect
1024. #547C2×D79semidirect
1059. #492C2×D79semidirect
1086. #468C2×D79semidirect
1087. #468C2×D79semidirect
1103. #461C2×D79semidirect
1107. #459C2×D79semidirect
1129. #450C2×D79semidirect
1130. #450C2×D79semidirect
1134. #449C2×D79semidirect
1135. #449C2×D79semidirect
1151. C4×D8C2×D79semidirect
1153. #436C2×D79semidirect
1183. C2×#41C22×D79semidirect
1232. C2×SD16C22×D79semidirect
1233. C2×SD16C22×D79semidirect
1238. C2×D8C22×D79semidirect
1242. C2×M16C22×D79semidirect
1250. C4⋊Q8C22×D79semidirect
1312. C22⋊Q8C22×D79semidirect
1384. C4×D4C22×D79semidirect
1404. #107C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1421. #103C22×D79semidirect
1422. #103C22×D79semidirect
1443. #102C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1460. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776832
#237770282
#237756262
#237756182
#237755482
#237754762
#237754292
#237754212
#237752552
#237752172
#237751102
#237750952
#237750312
#237749262
#237749162
#237748982
#237748892
#237744912
#237744652
#237742682
#237742512
#237742252
#237741902
#237736502
#237735802
#237727032
#237726722
#237726252
#450×D792
#237724442
C79×#32722
#6161079