Finite Group Databasebeta

← #35165272

Subgroups — #35165272

Order 20224.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776957C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic, complemented
3#23775614C211yesmaximal, characteristic, complemented
4#23775612C211yesmaximal, characteristic, complemented
5#23775607C211yesmaximal, characteristic, complemented
6#23775605C211yesmaximal, characteristic, complemented
7#23775550C211yesmaximal, characteristic, complemented
8#23775480C211yesmaximal, characteristic, complemented
9#23775478C211yesmaximal, characteristic, complemented
10#23775438C211yesmaximal, characteristic, complemented
11#23775436C211yesmaximal, characteristic, complemented
12#23775368C211yesmaximal, characteristic, complemented
13#23775366C211yesmaximal, characteristic, complemented
14#23775245C211yesmaximal, characteristic, complemented
15#23775243C211yesmaximal, characteristic, complemented
16#23775238C211yesmaximal, characteristic, complemented
17#23775236C211yesmaximal, characteristic, complemented
18#23773785C211yesmaximal, characteristic, complemented
19#23773347C211yesmaximal, characteristic, complemented
20#23773339C211yesmaximal, characteristic, complemented
21#23773192C211yesmaximal, characteristic, complemented
22#23773025C211yesmaximal, characteristic, complemented
23#23773016C211yesmaximal, characteristic, complemented
24#23772889C211yesmaximal, characteristic, complemented
25#23772638C211yesmaximal, characteristic, complemented
26#23772624C211yesmaximal, characteristic, complemented
27#23772211C211yesmaximal, characteristic, complemented
28#23772133C211yesmaximal, characteristic, complemented
29#23771915C211yesmaximal, characteristic, complemented
30#418×D79C211yesmaximal, characteristic, complemented
31C79×#3319C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579185C2211yescharacteristic
36C2×#14579185C2211yescharacteristic
37C22×#11929607C2211yescharacteristic, complemented
38C2×M16×D79C2211yescharacteristic
39#19099283C2211yescharacteristic, complemented
40#19099274C2211yescharacteristic, complemented
41#19099260C2211yescharacteristic, complemented
42#19099260C2211yescharacteristic, complemented
43#19099252—21no—
44#19099252C2211yescharacteristic, complemented
45#19099252C2211yescharacteristic, complemented
46#19099243—21no—
47#19099243—21no—
48#19099218C2211yescharacteristic, complemented
49#19099210—21no—
50#19099210C2211yescharacteristic
51#19099209C2211yescharacteristic
52#19099208C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099206C2211yescharacteristic
55#19099205—21no—
56#19099204C2211yescharacteristic
57#19099203—21no—
58#19099202—21no—
59#19099201C2211yescharacteristic
60#19099200—21no—
61#19099118C2211yescharacteristic, complemented
62#19099094—21no—
63#19099092—21no—
64#19099092—21no—
65#124×D79C2211yescharacteristic
66#19099073C2211yescharacteristic
67#19099073C2211yescharacteristic, complemented
68#123×D79—21no—
69C22⋊Q8×D79C2211yescharacteristic
70#121×D79—21no—
71#121×D79C2211yescharacteristic
72#120×D79—21no—
73#19099031—21no—
74C4×#11929623C2211yescharacteristic, complemented
75C4×D4×D79C2211yescharacteristic
76C4×D4×D79C2211yescharacteristic
77#117×D79C2211yescharacteristic
78#117×D79C2211yescharacteristic, complemented
79C2×C22⋊C4×D79—21no—
80#19098925C2211yescharacteristic, complemented
81#19098923C2211yescharacteristic, complemented
82#19098922C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098916C2211yescharacteristic, complemented
87#19098905C2211yescharacteristic, complemented
88#19098904C2211yescharacteristic, complemented
89#19098901C2211yescharacteristic, complemented
90#19098900C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098895C2211yescharacteristic, complemented
93#19098892C2211yescharacteristic, complemented
94#19098888C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic, complemented
97#19098883C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098878C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098866C2211yescharacteristic, complemented
102#19098866C2211yescharacteristic, complemented
103#19098865C2211yescharacteristic, complemented
104#19098865C2211yescharacteristic, complemented
105#19098854C2211yescharacteristic, complemented
106#19098853C2211yescharacteristic, complemented
107#19098840C2211yescharacteristic, complemented
108#19098821C2211yescharacteristic, complemented
109#19098819C2211yescharacteristic, complemented
110#19098815C2211yescharacteristic, complemented
111#19098813C2211yescharacteristic, complemented
112#19098810C2211yescharacteristic, complemented
113#19098808C2211yescharacteristic, complemented
114#19098807C2211yescharacteristic, complemented
115#19098805C2211yescharacteristic, complemented
116#19098803C2211yescharacteristic, complemented
117#19098797C2211yescharacteristic, complemented
118#19098792C2211yescharacteristic, complemented
119#19098791C2211yescharacteristic, complemented
120#19098790C2211yescharacteristic, complemented
121#19098789C2211yescharacteristic, complemented
122#19098788C2211yescharacteristic, complemented
123#19098786C2211yescharacteristic, complemented
124#19098784C2211yescharacteristic, complemented
125#19098782C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098778C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098728C2211yescharacteristic, complemented
130#19098727C2211yescharacteristic, complemented
131#19098726C2211yescharacteristic, complemented
132#19098725C2211yescharacteristic, complemented
133#19098716C2211yescharacteristic, complemented
134#19098715C2211yescharacteristic, complemented
135#19098715C2211yescharacteristic, complemented
136#19098714C2211yescharacteristic, complemented
137#19098707C2211yescharacteristic, complemented
138#19098706C2211yescharacteristic, complemented
139#19098705C2211yescharacteristic, complemented
140#19098696C2211yescharacteristic, complemented
141#19098695C2211yescharacteristic, complemented
142#19098695C2211yescharacteristic, complemented
143#19098673C2211yescharacteristic, complemented
144#19098665C2211yescharacteristic, complemented
145#19098663C2211yescharacteristic, complemented
146#19098654C2211yescharacteristic, complemented
147#19098650C2211yescharacteristic, complemented
148D8×Dic79C2211yescharacteristic, complemented
149#19098643C2211yescharacteristic, complemented
150#19098639C2211yescharacteristic, complemented
151#19098638C2211yescharacteristic, complemented
152#19098636C2211yescharacteristic, complemented
153#19098635C2211yescharacteristic, complemented
154#19098633C2211yescharacteristic, complemented
155C8×C22⋊D79C2211yescharacteristic, complemented
156(C22⋊D79)⋊C8C2211yescharacteristic, complemented
157#19098604C2211yescharacteristic, complemented
158#19098604C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic, complemented
160#19098585C2211yescharacteristic, complemented
161#19098570C2211yescharacteristic, complemented
162#19098570C2211yescharacteristic, complemented
163#19098570C2211yescharacteristic, complemented
164#19098569C2211yescharacteristic, complemented
165#19098568C2211yescharacteristic, complemented
166#19098567C2211yescharacteristic, complemented
167#19098566C2211yescharacteristic
168#19098566C2211yescharacteristic
169#19098566C2211yescharacteristic
170#19098566C2211yescharacteristic
171#19098566C2211yescharacteristic
172#19098566C2211yescharacteristic
173#19098563C2211yescharacteristic, complemented
174#19098563C2211yescharacteristic, complemented
175#19098561C2211yescharacteristic, complemented
176#19098561C2211yescharacteristic, complemented
177#19098561C2211yescharacteristic, complemented
178#19098560C2211yescharacteristic, complemented
179#19098559C2211yescharacteristic, complemented
180#19098557C2211yescharacteristic, complemented
181#102×D79C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic
186#19098525C2211yescharacteristic, complemented
187#19098515C2211yescharacteristic, complemented
188#555×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211#41×D79—24no—
212#41×D79—42no—
213C2×Q8×D79C2311yescharacteristic
214C22×D316C2311yescharacteristic
215C22×C22⋊D79—21no—
216C2×D4×D79—24no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—42no—
222C2×D4×D79D411yescharacteristic
223C2×D4×D79C2311yescharacteristic
224C2×D4×D79C2311yescharacteristic
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C22×C4×D79—21no—
228C22×C4×D79—21no—
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579190—42no—
232#14579185—24no—
233#14579185—42no—
234C2×Dic316C2311yescharacteristic, complemented
235C2×#11929614C2311yescharacteristic, complemented
236C2×#11929613C2311yescharacteristic
237C2×#11929613C2311yescharacteristic
238C2×#11929612C2311yescharacteristic
239C2×#11929612C2311yescharacteristic
240C2×#11929612C2311yescharacteristic, complemented
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929607—42no—
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C2×#11929607C2311yescharacteristic
249C2×#11929607C2311yescharacteristic, complemented
250C2×#11929607C2311yescharacteristic, complemented
251M16×D79—42no—
252C22×C79⋊C8C2311yescharacteristic, complemented
253C2×C8×D79C2311yescharacteristic
254C2×C8×D79C2311yescharacteristic
255#14579161C2311yescharacteristic, complemented
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579153—21no—
263#14579153—21no—
264#14579152—21no—
265#14579152C2311yescharacteristic, complemented
266#14579152C2311yescharacteristic, complemented
267#14579150C2311yescharacteristic
268#14579149C2311yescharacteristic
269#14579148—21no—
270#14579148C2311yescharacteristic
271#14579147—21no—
272#14579147—21no—
273#14579146—21no—
274#14579146—21no—
275#14579145—21no—
276#14579144—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579141—21no—
289#14579141C2311yescharacteristic
290#14579141C2311yescharacteristic
291#14579141C2311yescharacteristic, complemented
292#14579140—21no—
293#14579140C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579140C2311yescharacteristic, complemented
296#14579139—21no—
297#14579138—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137—21no—
301#14579137C2311yescharacteristic
302#14579136—21no—
303#14579136C2311yescharacteristic
304#14579135—21no—
305#14579135C2311yescharacteristic
306#14579134—21no—
307#14579134—21no—
308#14579134—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579132—21no—
313#14579132—21no—
314#14579132—21no—
315#14579132C2311yescharacteristic
316#14579132C2311yescharacteristic
317#14579132C2311yescharacteristic, complemented
318#14579131—21no—
319#14579131—21no—
320#14579131—21no—
321#14579130—21no—
322#14579129—21no—
323#14579129—21no—
324#14579129—21no—
325#14579129—21no—
326#14579129—21no—
327Q8×Dic79—21no—
328C4×Dic158C2311yescharacteristic, complemented
329#14579126—21no—
330#14579126—21no—
331#14579126C2311yescharacteristic, complemented
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79D411yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic, complemented
339#14579123—21no—
340#14579123D411yescharacteristic
341#14579123C2311yescharacteristic
342C4×C22⋊D79—21no—
343C4×C22⋊D79—21no—
344C4×C22⋊D79C2311yescharacteristic
345C4×C22⋊D79C2311yescharacteristic
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4D411yescharacteristic
353(C22⋊D79)⋊C4D411yescharacteristic
354#14579120C2311yescharacteristic
355#14579120C2311yescharacteristic, complemented
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579119C2311yescharacteristic
359#14579118—21no—
360#14579118—21no—
361#14579118—21no—
362#14579118—21no—
363#14579117—21no—
364#14579117—21no—
365#14579117—21no—
366C4⋊C4×D79—21no—
367C4⋊C4×D79D411yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C4⋊C4×D79C2311yescharacteristic, complemented
372C4⋊C4×D79C2311yescharacteristic, complemented
373C2×C22⋊Dic79—21no—
374C2×(C2×D79)⋊C4—21no—
375C2×(C2×D79)⋊C4—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C22⋊C4×D79—21no—
380C22⋊C4×D79—21no—
381C22⋊C4×D79—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79D411yescharacteristic
388C22⋊C4×D79D411yescharacteristic
389C2×C4×Dic79—21no—
390C42×D79—21no—
391C42×D79—21no—
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic, complemented
394#14579094C2311yescharacteristic, complemented
395#14579094C2311yescharacteristic, complemented
396#14579094C2311yescharacteristic, complemented
397#14579093C2311yescharacteristic, complemented
398#14579093C2311yescharacteristic, complemented
399#14579092C2311yescharacteristic, complemented
400#14579092C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402C4⋊(C79⋊C8)C2311yescharacteristic, complemented
403Dic79⋊C8C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405#14579086C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579086C2311yescharacteristic, complemented
408#14579086C2311yescharacteristic, complemented
409#14579085C2311yescharacteristic, complemented
410#14579085C2311yescharacteristic, complemented
411#14579085C2311yescharacteristic, complemented
412#14579084C2311yescharacteristic, complemented
413#14579084C2311yescharacteristic, complemented
414#14579084C2311yescharacteristic, complemented
415#14579084C2311yescharacteristic, complemented
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic, complemented
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic
434#14579081C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic
436C22⋊(C79⋊C8)C2311yescharacteristic, complemented
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic, complemented
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441#14579072C2311yescharacteristic, complemented
442C8×Dic79C2311yescharacteristic, complemented
443C8×Dic79C2311yescharacteristic, complemented
444C2×#41×C79C2311yescharacteristic
445C22×D4×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic, complemented
447C2×D8×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×M16×C79C2311yescharacteristic
450C22×C8×C79C2311yescharacteristic, complemented
451C4⋊Q8×C79C2311yescharacteristic, complemented
452#124×C79—21no—
453#124×C79—21no—
454#124×C79C2311yescharacteristic
455#123×C79—21no—
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79—21no—
458#121×C79—21no—
459#121×C79C2311yescharacteristic
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic, complemented
462#120×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic, complemented
466#117×C79—21no—
467#117×C79C2311yescharacteristic
468#117×C79C2311yescharacteristic, complemented
469C2×C22⋊C4×C79—21no—
470#107×C79C2311yescharacteristic, complemented
471#107×C79C2311yescharacteristic, complemented
472#106×C79C2311yescharacteristic, complemented
473C4⋊C8×C79C2311yescharacteristic, complemented
474#103×C79C2311yescharacteristic, complemented
475#103×C79C2311yescharacteristic, complemented
476#103×C79C2311yescharacteristic, complemented
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic, complemented
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic, complemented
486#97×C79C2311yescharacteristic, complemented
487C23×D79—21no—
488C23×D79—21no—
489C23×D79—21no—
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—44no—
493C23×D79—44no—
494C23×D79—82no—
495C23×D79C2×D411yescharacteristic
496C23×D79C2×D411yescharacteristic
497#11929625—22no—
498#11929625—41no—
499#11929624—22no—
500#11929624—44no—
501#11929624—41no—
502#11929624—44no—
503#11929623—22no—
504#11929623—22no—
505#11929623—22no—
506#11929623—44no—
507#11929623—41no—
508C2×Dic158—21no—
509C2×Dic158—21no—
510C2×Dic158C2411yescharacteristic
511C2×Dic158C2411yescharacteristic
512Q8×D79—22no—
513Q8×D79—22no—
514C2×D316—21no—
515C2×D316—21no—
516C2×D316—22no—
517C2×D316—21no—
518C2×D316—41no—
519C2×D316C2×D411yescharacteristic
520C2×D316C2411yescharacteristic
521C2×D316C2411yescharacteristic
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—44no—
534C2×C22⋊D79C2×D411yescharacteristic
535C2×C22⋊D79C2×D411yescharacteristic
536D4×D79—22no—
537D4×D79—22no—
538D4×D79—22no—
539D4×D79—22no—
540D4×D79—22no—
541D4×D79—42no—
542D4×D79—44no—
543D4×D79—41no—
544D4×D79—41no—
545D4×D79—44no—
546D4×D79—44no—
547D4×D79—82no—
548D4×D79#4114yescomplemented
549C22×Dic79—21no—
550C22×Dic79—21no—
551C22×Dic79—21no—
552C22×Dic79—21no—
553C22×Dic79C2×D411yescharacteristic
554C22×Dic79C2×D411yescharacteristic
555C2×C4×D79—22no—
556C2×C4×D79—22no—
557C2×C4×D79—22no—
558C2×C4×D79—22no—
559C2×C4×D79—21no—
560C2×C4×D79—21no—
561C2×C4×D79—21no—
562C2×C4×D79—21no—
563C2×C4×D79—21no—
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
568C2×C4×D79—21no—
569C2×C4×D79—44no—
570C2×C4×D79—82no—
571C2×C4×D79C2×D411yescharacteristic
572C2×C4×D79C2×D411yescharacteristic
573C2×C4×D79C2×D411yescharacteristic
574C2×C4×D79C2×D411yescharacteristic
575C2×C4×D79C2×D411yescharacteristic
576C2×C4×D79C2×D411yescharacteristic
577C2×C4×D79C2411yescharacteristic
578C2×C4×D79C2411yescharacteristic
579C2×C4×D79C2411yescharacteristic
580Dic316—41no—
581#11929614—41no—
582#11929613—22no—
583#11929613—41no—
584#11929612—22no—
585#11929612—41no—
586#11929612—41no—
587#11929609—22no—
588#11929609—41no—
589#11929608—41no—
590#11929607—22no—
591#11929607—22no—
592#11929607—22no—
593#11929607—22no—
594#11929607—41no—
595#11929607—41no—
596C2×C79⋊C8—41no—
597C2×C79⋊C8C2411yescharacteristic
598C2×C79⋊C8C2411yescharacteristic
599C2×C79⋊C8C2411yescharacteristic
600C2×C79⋊C8C2411yescharacteristic
601C8×D79—41no—
602C8×D79—41no—
603C4⋊Dic79—21no—
604C4⋊Dic79—21no—
605C4⋊Dic79—21no—
606C4⋊Dic79—21no—
607C4⋊Dic79—21no—
608C4⋊Dic79—21no—
609C4⋊Dic79C2×D411yescharacteristic
610C4⋊Dic79C2411yescharacteristic
611C4⋊Dic79C2411yescharacteristic
612C4⋊Dic79C2411yescharacteristic
613C4⋊Dic79C2411yescharacteristic
614Dic79⋊C4—21no—
615Dic79⋊C4—21no—
616Dic79⋊C4—21no—
617Dic79⋊C4—21no—
618Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
628Dic79⋊C4C2×D411yescharacteristic
629C22⋊Dic79—21no—
630C22⋊Dic79—21no—
631C22⋊Dic79—21no—
632C22⋊Dic79—21no—
633C22⋊Dic79—21no—
634C22⋊Dic79—21no—
635C22⋊Dic79—21no—
636C22⋊Dic79—21no—
637C22⋊Dic79—21no—
638C22⋊Dic79—21no—
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79C2×D411yescharacteristic
642C22⋊Dic79C2×D411yescharacteristic
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4C2×D411yescharacteristic
659(C2×D79)⋊C4C2×D411yescharacteristic
660(C2×D79)⋊C4C2×D411yescharacteristic
661(C2×D79)⋊C4C2×D411yescharacteristic
662C4×Dic79—21no—
663C4×Dic79—21no—
664C4×Dic79—21no—
665C4×Dic79—21no—
666C4×Dic79—21no—
667C4×Dic79—21no—
668C4×Dic79—21no—
669C4×Dic79C2×D411yescharacteristic
670C4×Dic79C2×D411yescharacteristic
671C4×Dic79C2411yescharacteristic
672C24×C79—21no—
673#41×C79—22no—
674#41×C79—41no—
675C2×Q8×C79—21no—
676C2×Q8×C79C2411yescharacteristic
677C2×D4×C79—22no—
678C2×D4×C79—21no—
679C2×D4×C79—21no—
680C2×D4×C79—21no—
681C2×D4×C79—21no—
682C2×D4×C79—21no—
683C2×D4×C79—41no—
684C2×D4×C79C2×D411yescharacteristic
685C2×D4×C79C2411yescharacteristic
686C2×D4×C79C2411yescharacteristic
687C2×D4×C79C2411yescharacteristic
688C22×C4×C79—21no—
689C22×C4×C79—21no—
690C22×C4×C79—21no—
691C22×C4×C79C2411yescharacteristic
692C22×C4×C79C2411yescharacteristic
693SD16×C79—41no—
694D8×C79—22no—
695D8×C79—41no—
696M16×C79—41no—
697C2×C8×C79—41no—
698C2×C8×C79C2411yescharacteristic
699C2×C8×C79C2411yescharacteristic
700C2×C8×C79C2411yescharacteristic
701C2×C8×C79C2411yescharacteristic
702C4⋊C4×C79—21no—
703C4⋊C4×C79—21no—
704C4⋊C4×C79C2×D411yescharacteristic
705C4⋊C4×C79C2411yescharacteristic
706C4⋊C4×C79C2411yescharacteristic
707C4⋊C4×C79C2411yescharacteristic
708C4⋊C4×C79C2411yescharacteristic
709C22⋊C4×C79—21no—
710C22⋊C4×C79—21no—
711C22⋊C4×C79—21no—
712C22⋊C4×C79—21no—
713C22⋊C4×C79—21no—
714C22⋊C4×C79—21no—
715C22⋊C4×C79—21no—
716C22⋊C4×C79—21no—
717C22⋊C4×C79—21no—
718C22⋊C4×C79—21no—
719C22⋊C4×C79C2×D411yescharacteristic
720C22⋊C4×C79C2×D411yescharacteristic
721C42×C79—21no—
722C42×C79—21no—
723C42×C79C2411yescharacteristic
724C23×C79—21no—
725C23×C79—21no—
726C23×C79—21no—
727C23×C79—42no—
728C23×C79—42no—
729C23×C79—81no—
730C23×C79C22×D411yescharacteristic
731C23×C79C22×D411yescharacteristic
732C22×D79—21no—
733C22×D79—22no—
734C22×D79—24no—
735C22×D79—22no—
736C22×D79—22no—
737C22×D79—21no—
738C22×D79—41no—
739C22×D79—41no—
740C22×D79—41no—
741C22×D79—42no—
742C22×D79—42no—
743C22×D79—42no—
744C22×D79—42no—
745C22×D79—42no—
746C22×D79—42no—
747C22×D79—42no—
748C22×D79—42no—
749C22×D79—42no—
750C22×D79—42no—
751C22×D79—42no—
752C22×D79—81no—
753C22×D79—81no—
754C22×D79—81no—
755C22×D79—816no—
756C22×D79C22×D411yescharacteristic
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—81no—
762D4×C79—21no—
763D4×C79—21no—
764D4×C79—21no—
765D4×C79—21no—
766D4×C79—21no—
767D4×C79—41no—
768D4×C79—42no—
769D4×C79—42no—
770D4×C79—81no—
771D4×C79—81no—
772D4×C79—81no—
773D4×C79C2×#4112yes—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—42no—
784C2×C4×C79—42no—
785C2×C4×C79—81no—
786C2×C4×C79C22×D411yescharacteristic
787C2×C4×C79C22×D411yescharacteristic
788C2×C4×C79C22×D411yescharacteristic
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C2511yescharacteristic
791C22⋊D79—22no—
792C22⋊D79—24no—
793C22⋊D79—41no—
794C22⋊D79—42no—
795C22⋊D79—42no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—42no—
799C22⋊D79—42no—
800C22⋊D79—42no—
801C22⋊D79—42no—
802C22⋊D79—81no—
803C22⋊D79—81no—
804C2×Dic79—22no—
805C2×Dic79—22no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—42no—
813C2×Dic79—42no—
814C2×Dic79—81no—
815C2×Dic79—81no—
816C2×Dic79C22×D411yescharacteristic
817C2×Dic79C22×D411yescharacteristic
818C2×Dic79C22×D411yescharacteristic
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821D316—22no—
822D316—21no—
823D316—21no—
824D316—21no—
825D316—42no—
826D316—42no—
827D316—81no—
828D316C2×#4112yes—
829C4×D79—22no—
830C4×D79—22no—
831C4×D79—21no—
832C4×D79—21no—
833C4×D79—21no—
834C4×D79—21no—
835C4×D79—22no—
836C4×D79—22no—
837C4×D79—41no—
838C4×D79—41no—
839C4×D79—42no—
840C4×D79—42no—
841C4×D79—42no—
842C4×D79—42no—
843C4×D79—42no—
844C4×D79—42no—
845C4×D79—81no—
846C4×D79—81no—
847C4×D79—81no—
848C4×D79—81no—
849C4×D79C2×#4112yes—
850C4×D79H(5,𝔽2)12yes—
851Dic158—21no—
852Dic158—21no—
853Dic158—21no—
854Dic158—21no—
855Dic158—42no—
856Dic158—42no—
857C8×C79—21no—
858C8×C79—21no—
859C8×C79—21no—
860C8×C79—21no—
861C79⋊C8—21no—
862C79⋊C8—21no—
863C79⋊C8—21no—
864C79⋊C8—21no—
865C22×C79—21no—
866C22×C79—21no—
867C22×C79—22no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—21no—
871C22×C79—21no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79—41no—
876C22×C79—41no—
877C22×C79—41no—
878C22×C79—41no—
879C22×C79—41no—
880C22×C79—84no—
881C22×C79C23×D411yescharacteristic
882C2×D79—21no—
883C2×D79—21no—
884C2×D79—21no—
885C2×D79—21no—
886C2×D79—21no—
887C2×D79—22no—
888C2×D79—21no—
889C2×D79—21no—
890C2×D79—44no—
891C2×D79—48no—
892C2×D79—41no—
893C2×D79—41no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—82no—
898C2×D79—84no—
899C2×D79—84no—
900C2×D79—84no—
901C2×D79—84no—
902C2×D79#54612yes—
903C2×D79#57512yes—
904C4×C79—21no—
905C4×C79—21no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—41no—
909C4×C79—41no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79C22×#4111yescharacteristic
914C4×C79C2×H(5,𝔽2)11yescharacteristic
915Dic79—21no—
916Dic79—21no—
917Dic79—21no—
918Dic79—21no—
919Dic79—41no—
920Dic79—41no—
921Dic79—41no—
922Dic79—41no—
923Dic79—41no—
924Dic79—41no—
925Dic79#54612yes—
926#61156—791nomaximal, Sylow
927C2×C79—41no—
928C2×C79—42no—
929C2×C79—41no—
930C2×C79—81no—
931C2×C79—81no—
932C2×C79C2×#54611yescharacteristic
933C2×C79C2×#57511yescharacteristic
934C2×C79#358511yescharacteristic
935D79—22no—
936D79—22no—
937D79—41no—
938D79—42no—
939D79—81no—
940#3475—791no—
941C2×#546—791no—
942#3323—791no—
943#3323—791no—
944#3322—791no—
945#3322—791no—
946#3319—791no—
947#3319D7911yescharacteristic, complemented
948#3314—791no—
949#3314—791no—
950#3311—791no—
951#3311—791no—
952#3306—791no—
953#3306—791no—
954#3297—791no—
955#3297—791no—
956#3296—791no—
957#3296—791no—
958#3140—791no—
959#3095—791no—
960#3094—791no—
961#3077—791no—
962#3056—791no—
963#3055—791no—
964#3040—791no—
965#3005—791no—
966#3003—791no—
967C4×AGL(1,ℤ/8)—791no—
968D4×M16—791no—
969#2896—791no—
970C2×#418—791no—
971C79#6115611yescharacteristic, complemented, Sylow
972C22×#41—791no—
973C23×D4—791no—
974C2×#137—791no—
975C2×AGL(1,ℤ/8)—791no—
976C2×AGL(1,ℤ/8)—791no—
977C22×M16—791no—
978C22×M16—791no—
979#556—791no—
980#555C2×D7911yescharacteristic, complemented
981#554—791no—
982#553—791no—
983#553—791no—
984#552—791no—
985#552—791no—
986#552—1581no—
987#551—1581no—
988#551—1581no—
989#547—791no—
990#546—791no—
991#546—791no—
992#546—791no—
993#546—791no—
994#546—791no—
995#546—791no—
996#546—791no—
997#546—1581no—
998#546—1581no—
999#546—1581no—
1000#546—1581no—
1001#546—1581no—
1002#546C2×D7911yescharacteristic
1003#533—791no—
1004#529—1581no—
1005#529—1581no—
1006#529—1581no—
1007C2×#124—791no—
1008#525—791no—
1009#525—791no—
1010C2×#123—1581no—
1011C2×C22⋊Q8—791no—
1012C2×#121—791no—
1013C2×#121—1581no—
1014C2×#120—1581no—
1015C4×#41—791no—
1016C4×#41—1581no—
1017C2×C4×D4—791no—
1018C2×C4×D4—791no—
1019C2×#117—791no—
1020C2×#117—791no—
1021C22×C22⋊C4—1581no—
1022#489—791no—
1023#489—791no—
1024#489—791no—
1025#489C2×D7911yescharacteristic, complemented
1026#488—791no—
1027#488—791no—
1028#488—791no—
1029#488—791no—
1030#485—791no—
1031#485—791no—
1032#485—791no—
1033#485C2×D7911yescharacteristic, complemented
1034#484—791no—
1035#484—791no—
1036#483—791no—
1037#483—791no—
1038#482—791no—
1039#482—791no—
1040#482—791no—
1041#482C2×D7911yescharacteristic, complemented
1042#481—791no—
1043#481—791no—
1044#480—791no—
1045#480—791no—
1046#478—791no—
1047#478—791no—
1048#478—791no—
1049#478—791no—
1050#476—791no—
1051#476—791no—
1052#474—791no—
1053#474C2×D7911yescharacteristic, complemented
1054#470—791no—
1055#470—791no—
1056#469—791no—
1057#469—791no—
1058#468—791no—
1059#468—791no—
1060#468—791no—
1061#468C2×D7911yescharacteristic, complemented
1062#467—791no—
1063#467—791no—
1064#466—791no—
1065#466C2×D7911yescharacteristic, complemented
1066#465—791no—
1067#465—791no—
1068#465—791no—
1069#465—791no—
1070#464—791no—
1071#464—791no—
1072#464—791no—
1073#464—791no—
1074#463—791no—
1075#463—791no—
1076#463—791no—
1077#463C2×D7911yescharacteristic, complemented
1078#452—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450—791no—
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449C2×D7911yescharacteristic, complemented
1090#447—791no—
1091#447—791no—
1092#447—791no—
1093#447C2×D7911yescharacteristic, complemented
1094#442—791no—
1095#442C2×D7911yescharacteristic, complemented
1096#440—791no—
1097#440—791no—
1098C4×SD16—791no—
1099C4×SD16—791no—
1100C4×D8—791no—
1101C4×D8—791no—
1102#436—791no—
1103#436—791no—
1104#435—791no—
1105#435—791no—
1106#435—791no—
1107#435C2×D7911yescharacteristic, complemented
1108C8×D4—791no—
1109C8×D4—791no—
1110#428—791no—
1111#428—791no—
1112#428—791no—
1113#423—791no—
1114#419—791no—
1115#419—791no—
1116#419—791no—
1117#418—791no—
1118#418—791no—
1119#418—791no—
1120#418—791no—
1121#418—791no—
1122#418—791no—
1123#418—791no—
1124#418—791no—
1125#418—791no—
1126#418C2×D7911yescharacteristic, complemented
1127#417—791no—
1128#417—791no—
1129#417—791no—
1130#417—791no—
1131#417—791no—
1132#416—791no—
1133#416—791no—
1134#416—791no—
1135#416C2×D7911yescharacteristic, complemented
1136C2×#102—791no—
1137C2×#102—791no—
1138C2×#102—791no—
1139C2×#102—791no—
1140#407—791no—
1141#407—791no—
1142C4×M16—791no—
1143C25—1581no—
1144C2×#41—3162no—
1145C2×#41—791no—
1146C2×#41—791no—
1147C2×#41—791no—
1148C2×#41—791no—
1149C2×#41—1581no—
1150C2×#41—1581no—
1151C2×#41—1584no—
1152C2×#41—1581no—
1153C2×#41C22×D7911yescharacteristic
1154C22×Q8—791no—
1155C22×D4—3162no—
1156C22×D4—791no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—791no—
1162C22×D4—1581no—
1163C22×D4—1581no—
1164C22×D4—1581no—
1165C22×D4—1581no—
1166C22×D4—1584no—
1167C22×D4—1581no—
1168C22×D4C22×D7911yescharacteristic
1169C23×C4—791no—
1170C23×C4—791no—
1171C23×C4—1581no—
1172C23×C4—1581no—
1173#137—3162no—
1174AGL(1,ℤ/8)—3162no—
1175AGL(1,ℤ/8)—1584no—
1176C2×Q16—791no—
1177C2×Q16—791no—
1178C2×SD16—791no—
1179C2×SD16—791no—
1180C2×SD16—791no—
1181C2×SD16—791no—
1182C2×SD16—791no—
1183C2×SD16C22×D7911yescharacteristic, complemented
1184C2×D8—791no—
1185C2×D8—791no—
1186C2×D8C22×D7911yescharacteristic
1187C2×D8C22×D7911yescharacteristic
1188C2×M16—3162no—
1189C2×M16—3162no—
1190C2×M16—791no—
1191C2×M16—791no—
1192C2×M16—791no—
1193C2×M16—791no—
1194C2×M16—791no—
1195C2×M16—791no—
1196C2×M16—791no—
1197C2×M16C22×D7911yescharacteristic
1198C22×C8—791no—
1199C22×C8—791no—
1200C22×C8—791no—
1201C22×C8C22×D7911yescharacteristic, complemented
1202C4⋊Q8—791no—
1203C4⋊Q8C22×D7911yescharacteristic, complemented
1204#126—1581no—
1205#126—1581no—
1206#126—1581no—
1207#126—1581no—
1208#126—1581no—
1209#126—1581no—
1210#125—791no—
1211#125—791no—
1212#125—1581no—
1213#125—1581no—
1214#125—1581no—
1215#124—21no—
1216#124—21no—
1217#124—791no—
1218#124—791no—
1219#124—791no—
1220#124—1581no—
1221#124—1581no—
1222#124—1581no—
1223#124C22×D7911yescharacteristic
1224#123—21no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—791no—
1245C22⋊Q8—791no—
1246C22⋊Q8—791no—
1247C22⋊Q8—1581no—
1248C22⋊Q8—1581no—
1249C22⋊Q8—1581no—
1250C22⋊Q8—1581no—
1251C22⋊Q8—1581no—
1252C22⋊Q8—1581no—
1253C22⋊Q8—1581no—
1254C22⋊Q8C22×D7911yescharacteristic
1255#121—21no—
1256#121—21no—
1257#121—791no—
1258#121—791no—
1259#121—791no—
1260#121—791no—
1261#121—791no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121C22×D7911yescharacteristic
1274#121C22×D7911yescharacteristic
1275#121C22×D7911yescharacteristic, complemented
1276#120—21no—
1277#120—1581no—
1278#120—1581no—
1279#120—1581no—
1280#120—1581no—
1281#120—1581no—
1282#120—1581no—
1283#120—1581no—
1284#120—1581no—
1285#120—1581no—
1286C4×Q8—791no—
1287C4×Q8—791no—
1288C4×Q8—1581no—
1289C4×Q8—1581no—
1290C4×Q8—1581no—
1291C4×D4—791no—
1292C4×D4—791no—
1293C4×D4—791no—
1294C4×D4—791no—
1295C4×D4—791no—
1296C4×D4—791no—
1297C4×D4—791no—
1298C4×D4—791no—
1299C4×D4—791no—
1300C4×D4—791no—
1301C4×D4—791no—
1302C4×D4—1581no—
1303C4×D4—1581no—
1304C4×D4—1581no—
1305C4×D4—1581no—
1306C4×D4—1581no—
1307C4×D4—1581no—
1308C4×D4—1581no—
1309C4×D4—1581no—
1310C4×D4—1581no—
1311C4×D4—1581no—
1312C4×D4—1581no—
1313C4×D4C22×D7911yescharacteristic
1314C4×D4C22×D7911yescharacteristic
1315C4×D4C22×D7911yescharacteristic, complemented
1316#117—21no—
1317#117—791no—
1318#117—791no—
1319#117—791no—
1320#117—791no—
1321#117—791no—
1322#117—1581no—
1323#117—1581no—
1324#117—1581no—
1325#117—1581no—
1326#117—1581no—
1327#117—1581no—
1328#117—1581no—
1329#117C22×D7911yescharacteristic
1330#117C22×D7911yescharacteristic, complemented
1331C2×C4⋊C4—791no—
1332C2×C4⋊C4—791no—
1333C2×C4⋊C4—791no—
1334C2×C4⋊C4—791no—
1335C2×C4⋊C4—791no—
1336C2×C4⋊C4—791no—
1337C2×C4⋊C4—1581no—
1338C2×C22⋊C4—21no—
1339C2×C22⋊C4—791no—
1340C2×C22⋊C4—791no—
1341C2×C22⋊C4—1581no—
1342C2×C22⋊C4—1581no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C22⋊C4—1581no—
1350C2×C22⋊C4—1581no—
1351C2×C22⋊C4—1581no—
1352C2×C22⋊C4—1581no—
1353C2×C22⋊C4—1581no—
1354C2×C22⋊C4—1581no—
1355C2×C42—791no—
1356C2×C42—1581no—
1357C2×C42—1581no—
1358C2×C42—1581no—
1359#107—791no—
1360#107—791no—
1361#107—791no—
1362#107—791no—
1363#107C22×D7911yescharacteristic, complemented
1364#107C22×D7911yescharacteristic, complemented
1365#106—791no—
1366#106—791no—
1367#106—791no—
1368#106—791no—
1369#106—791no—
1370#106C22×D7911yescharacteristic, complemented
1371C4⋊C8—791no—
1372C4⋊C8—791no—
1373C4⋊C8—791no—
1374C4⋊C8C22×D7911yescharacteristic, complemented
1375#103—791no—
1376#103—791no—
1377#103—791no—
1378#103—791no—
1379#103—791no—
1380#103—791no—
1381#103—791no—
1382#103—791no—
1383#103—791no—
1384#103—791no—
1385#103—791no—
1386#103C22×D7911yescharacteristic, complemented
1387#103C22×D7911yescharacteristic, complemented
1388#103C22×D7911yescharacteristic, complemented
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102—791no—
1393#102—791no—
1394#102—791no—
1395#102—791no—
1396#102—791no—
1397#102—791no—
1398#102—791no—
1399#102—791no—
1400#102—791no—
1401#102—791no—
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102C22×D7911yescharacteristic
1409#102C22×D7911yescharacteristic
1410#102C22×D7911yescharacteristic
1411#102C22×D7911yescharacteristic
1412#102C22×D7911yescharacteristic
1413#102C22×D7911yescharacteristic
1414#102C22×D7911yescharacteristic, complemented
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8C22×D7911yescharacteristic
1422C22⋊C8C22×D7911yescharacteristic, complemented
1423#97—791no—
1424#97C22×D7911yescharacteristic, complemented
1425C4×C8—791no—
1426C4×C8—791no—
1427C24—21no—
1428C24—3164no—
1429C24—3164no—
1430C24—791no—
1431C24—791no—
1432C24—6322no—
1433C24—1581no—
1434C24—1581no—
1435C24—1581no—
1436C24—1581no—
1437C24—1581no—
1438#41—22no—
1439#41—41no—
1440#41—3161no—
1441#41—3164no—
1442#41—3164no—
1443#41—3161no—
1444#41—3164no—
1445#41—3161no—
1446#41—1582no—
1447#41—1582no—
1448#41—1582no—
1449#41—1582no—
1450#41—1582no—
1451C2×Q8—21no—
1452C2×Q8—791no—
1453C2×Q8—791no—
1454C2×Q8—1581no—
1455C2×Q8—1582no—
1456C2×Q8—1582no—
1457C2×Q8—1581no—
1458C2×Q8C23×D7911yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—3161no—
1467C2×D4—3164no—
1468C2×D4—3162no—
1469C2×D4—3161no—
1470C2×D4—3161no—
1471C2×D4—3164no—
1472C2×D4—3164no—
1473C2×D4—3164no—
1474C2×D4—791no—
1475C2×D4—794no—
1476C2×D4—791no—
1477C2×D4—791no—
1478C2×D4—791no—
1479C2×D4—791no—
1480C2×D4—6322no—
1481C2×D4—1581no—
1482C2×D4—1582no—
1483C2×D4—1581no—
1484C2×D4—1582no—
1485C2×D4—1582no—
1486C2×D4—1582no—
1487C2×D4—1581no—
1488C2×D4—1581no—
1489C2×D4—1581no—
1490C2×D4—1581no—
1491C2×D4—1582no—
1492C2×D4—1581no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1582no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4D4×D7911yescharacteristic
1502C2×D4C23×D7911yescharacteristic
1503C2×D4C23×D7911yescharacteristic
1504C2×D4C23×D7911yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—3164no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—791no—
1520C22×C4—6322no—
1521C22×C4—1581no—
1522C22×C4—1581no—
1523C22×C4—1581no—
1524C22×C4—1581no—
1525C22×C4—1581no—
1526C22×C4—1581no—
1527C22×C4—1582no—
1528C22×C4—1582no—
1529C22×C4—1582no—
1530C22×C4—1582no—
1531C22×C4—1581no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541Q16—3161no—
1542Q16—3161no—
1543SD16—41no—
1544SD16—3161no—
1545SD16—3161no—
1546SD16—3161no—
1547SD16—1582no—
1548SD16—1582no—
1549D8—22no—
1550D8—41no—
1551D8—3161no—
1552D8—1582no—
1553M16—41no—
1554M16—3161no—
1555M16—3161no—
1556M16—3161no—
1557M16—1582no—
1558M16—1582no—
1559M16—1582no—
1560M16—1582no—
1561C2×C8—41no—
1562C2×C8—3161no—
1563C2×C8—3161no—
1564C2×C8—3161no—
1565C2×C8—791no—
1566C2×C8—791no—
1567C2×C8—791no—
1568C2×C8—791no—
1569C2×C8C23×D7911yescharacteristic
1570C2×C8C23×D7911yescharacteristic
1571C2×C8C23×D7911yescharacteristic
1572C2×C8C23×D7911yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—791no—
1576C4⋊C4—791no—
1577C4⋊C4—791no—
1578C4⋊C4—791no—
1579C4⋊C4—791no—
1580C4⋊C4—791no—
1581C4⋊C4—791no—
1582C4⋊C4—1581no—
1583C4⋊C4—1581no—
1584C4⋊C4—1581no—
1585C4⋊C4—1581no—
1586C4⋊C4—1581no—
1587C4⋊C4—1581no—
1588C4⋊C4—1581no—
1589C4⋊C4—1581no—
1590C4⋊C4—1581no—
1591C4⋊C4—1581no—
1592C4⋊C4—1581no—
1593C4⋊C4—1581no—
1594C4⋊C4—1581no—
1595C4⋊C4—1581no—
1596C4⋊C4—1581no—
1597C4⋊C4—1581no—
1598C4⋊C4—1581no—
1599C4⋊C4—1581no—
1600C4⋊C4—1581no—
1601C4⋊C4D4×D7911yescharacteristic
1602C4⋊C4C23×D7911yescharacteristic
1603C4⋊C4C23×D7911yescharacteristic
1604C4⋊C4C23×D7911yescharacteristic
1605C4⋊C4C23×D7911yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—791no—
1617C22⋊C4—791no—
1618C22⋊C4—791no—
1619C22⋊C4—791no—
1620C22⋊C4—791no—
1621C22⋊C4—791no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4—1581no—
1629C22⋊C4—1581no—
1630C22⋊C4—1581no—
1631C22⋊C4—1581no—
1632C22⋊C4—1581no—
1633C22⋊C4—1581no—
1634C22⋊C4—1581no—
1635C22⋊C4—1581no—
1636C22⋊C4—1581no—
1637C22⋊C4—1581no—
1638C22⋊C4—1581no—
1639C22⋊C4—1581no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4D4×D7911yescharacteristic
1650C22⋊C4D4×D7911yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—791no—
1654C42—791no—
1655C42—791no—
1656C42—1581no—
1657C42—1581no—
1658C42—1581no—
1659C42—1581no—
1660C42—1581no—
1661C42—1581no—
1662C42—1581no—
1663C42C23×D7911yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—42no—
1668C23—42no—
1669C23—81no—
1670C23—3161no—
1671C23—3162no—
1672C23—3162no—
1673C23—3162no—
1674C23—3161no—
1675C23—3161no—
1676C23—3162no—
1677C23—3162no—
1678C23—3162no—
1679C23—3162no—
1680C23—3162no—
1681C23—3162no—
1682C23—3162no—
1683C23—3162no—
1684C23—791no—
1685C23—791no—
1686C23—791no—
1687C23—6321no—
1688C23—6321no—
1689C23—6321no—
1690C23—63216no—
1691C23—1584no—
1692C23—1582no—
1693C23—1582no—
1694C23—1582no—
1695C23—1581no—
1696C23—1581no—
1697C23C2×D4×D7911yescharacteristic
1698C23C2×D4×D7911yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—81no—
1702Q8—3162no—
1703Q8—3162no—
1704Q8—1581no—
1705Q8—1581no—
1706Q8—1581no—
1707Q8—1581no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—3162no—
1720D4—3162no—
1721D4—3162no—
1722D4—3162no—
1723D4—3162no—
1724D4—3162no—
1725D4—3162no—
1726D4—3162no—
1727D4—3162no—
1728D4—3161no—
1729D4—3162no—
1730D4—792no—
1731D4—6321no—
1732D4—6321no—
1733D4—6321no—
1734D4—1582no—
1735D4—1584no—
1736D4—1582no—
1737D4—1581no—
1738D4—1581no—
1739D4—1581no—
1740D4#41×D7912yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—3162no—
1754C2×C4—3161no—
1755C2×C4—3161no—
1756C2×C4—3162no—
1757C2×C4—3162no—
1758C2×C4—3162no—
1759C2×C4—3162no—
1760C2×C4—3162no—
1761C2×C4—3162no—
1762C2×C4—3162no—
1763C2×C4—791no—
1764C2×C4—792no—
1765C2×C4—792no—
1766C2×C4—791no—
1767C2×C4—791no—
1768C2×C4—791no—
1769C2×C4—791no—
1770C2×C4—6321no—
1771C2×C4—6321no—
1772C2×C4—6321no—
1773C2×C4—6321no—
1774C2×C4—6321no—
1775C2×C4—6321no—
1776C2×C4—1582no—
1777C2×C4—1582no—
1778C2×C4—1582no—
1779C2×C4—1582no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1582no—
1787C2×C4—1582no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4C2×D4×D7911yescharacteristic
1793C2×C4C2×D4×D7911yescharacteristic
1794C2×C4C2×D4×D7911yescharacteristic
1795C2×C4C2×D4×D7911yescharacteristic
1796C2×C4C24×D7911yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1581no—
1802C8—1581no—
1803C8—1581no—
1804C8—1581no—
1805C22—21no—
1806C22—21no—
1807C22—22no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—84no—
1821C22—3168no—
1822C22—3164no—
1823C22—3161no—
1824C22—3161no—
1825C22—3161no—
1826C22—3161no—
1827C22—3161no—
1828C22—792no—
1829C22—792no—
1830C22—6324no—
1831C22—6322no—
1832C22—6324no—
1833C22—6324no—
1834C22—6324no—
1835C22—1582no—
1836C22—1581no—
1837C22—1581no—
1838C22—1581no—
1839C22—1581no—
1840C22—1581no—
1841C22—1581no—
1842C22—1581no—
1843C22C22×D4×D7911yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—3161no—
1854C4—3161no—
1855C4—3161no—
1856C4—3161no—
1857C4—3161no—
1858C4—3161no—
1859C4—792no—
1860C4—1581no—
1861C4—1581no—
1862C4—1581no—
1863C4—1581no—
1864C4C2×#41×D7911yescharacteristic
1865C4H(5,𝔽2)×D7911yescharacteristic
1866C2—41no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—81no—
1871C2—3162no—
1872C2—3161no—
1873C2—6321no—
1874C2—1582no—
1875C2—1582no—
1876C2#546×D7911yescharacteristic
1877C2#575×D7911yescharacteristic
1878C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3319C2
socleC22×C79C23×D4
hypercenter#3319D79
hypocenterC79#61156
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #23776957C2semidirect
2. #546×D79C2semidirect
3. #23775614C2semidirect
4. #23775612C2semidirect
5. #23775607C2semidirect
6. #23775605C2semidirect
7. #23775550C2semidirect
8. #23775480C2semidirect
9. #23775478C2semidirect
10. #23775438C2semidirect
11. #23775436C2semidirect
12. #23775368C2semidirect
13. #23775366C2semidirect
14. #23775245C2semidirect
15. #23775243C2semidirect
16. #23775238C2semidirect
17. #23775236C2semidirect
18. #23773785C2semidirect
19. #23773347C2semidirect
20. #23773339C2semidirect
21. #23773192C2semidirect
22. #23773025C2semidirect
23. #23773016C2semidirect
24. #23772889C2semidirect
25. #23772638C2semidirect
26. #23772624C2semidirect
27. #23772211C2semidirect
28. #23772133C2semidirect
29. #23771915C2semidirect
30. #418×D79C2semidirect
31. C79×#3319C2semidirect
34. C2×#14579190C22semidirect
37. C22×#11929607C22semidirect
39. #19099283C22semidirect
40. #19099274C22semidirect
41. #19099260C22semidirect
42. #19099260C22semidirect
44. #19099252C22semidirect
45. #19099252C22semidirect
48. #19099218C22semidirect
61. #19099118C22semidirect
67. #19099073C22semidirect
74. C4×#11929623C22semidirect
78. #117×D79C22semidirect
80. #19098925C22semidirect
81. #19098923C22semidirect
82. #19098922C22semidirect
83. #19098919C22semidirect
84. #19098919C22semidirect
85. #19098916C22semidirect
86. #19098916C22semidirect
87. #19098905C22semidirect
88. #19098904C22semidirect
89. #19098901C22semidirect
90. #19098900C22semidirect
91. #19098897C22semidirect
92. #19098895C22semidirect
93. #19098892C22semidirect
94. #19098888C22semidirect
95. #19098887C22semidirect
96. #19098884C22semidirect
97. #19098883C22semidirect
98. #19098880C22semidirect
99. #19098878C22semidirect
100. #19098875C22semidirect
101. #19098866C22semidirect
102. #19098866C22semidirect
103. #19098865C22semidirect
104. #19098865C22semidirect
105. #19098854C22semidirect
106. #19098853C22semidirect
107. #19098840C22semidirect
108. #19098821C22semidirect
109. #19098819C22semidirect
110. #19098815C22semidirect
111. #19098813C22semidirect
112. #19098810C22semidirect
113. #19098808C22semidirect
114. #19098807C22semidirect
115. #19098805C22semidirect
116. #19098803C22semidirect
117. #19098797C22semidirect
118. #19098792C22semidirect
119. #19098791C22semidirect
120. #19098790C22semidirect
121. #19098789C22semidirect
122. #19098788C22semidirect
123. #19098786C22semidirect
124. #19098784C22semidirect
125. #19098782C22semidirect
126. #19098780C22semidirect
127. #19098778C22semidirect
128. #19098776C22semidirect
129. #19098728C22semidirect
130. #19098727C22semidirect
131. #19098726C22semidirect
132. #19098725C22semidirect
133. #19098716C22semidirect
134. #19098715C22semidirect
135. #19098715C22semidirect
136. #19098714C22semidirect
137. #19098707C22semidirect
138. #19098706C22semidirect
139. #19098705C22semidirect
140. #19098696C22semidirect
141. #19098695C22semidirect
142. #19098695C22semidirect
143. #19098673C22semidirect
144. #19098665C22semidirect
145. #19098663C22semidirect
146. #19098654C22semidirect
147. #19098650C22semidirect
148. D8×Dic79C22semidirect
149. #19098643C22semidirect
150. #19098639C22semidirect
151. #19098638C22semidirect
152. #19098636C22semidirect
153. #19098635C22semidirect
154. #19098633C22semidirect
155. C8×C22⋊D79C22semidirect
156. (C22⋊D79)⋊C8C22semidirect
157. #19098604C22semidirect
158. #19098604C22semidirect
159. #19098602C22semidirect
160. #19098585C22semidirect
161. #19098570C22semidirect
162. #19098570C22semidirect
163. #19098570C22semidirect
164. #19098569C22semidirect
165. #19098568C22semidirect
166. #19098567C22semidirect
173. #19098563C22semidirect
174. #19098563C22semidirect
175. #19098561C22semidirect
176. #19098561C22semidirect
177. #19098561C22semidirect
178. #19098560C22semidirect
179. #19098559C22semidirect
180. #19098557C22semidirect
181. #102×D79C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
184. #102×D79C22semidirect
186. #19098525C22semidirect
187. #19098515C22semidirect
188. #555×C79C22semidirect
190. #489×C79C22semidirect
191. #485×C79C22semidirect
192. #482×C79C22semidirect
193. #474×C79C22semidirect
194. #468×C79C22semidirect
195. #466×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. #416×C79C22semidirect
234. C2×Dic316C23semidirect
235. C2×#11929614C23semidirect
240. C2×#11929612C23semidirect
249. C2×#11929607C23semidirect
250. C2×#11929607C23semidirect
252. C22×C79⋊C8C23semidirect
255. #14579161C23semidirect
265. #14579152C23semidirect
266. #14579152C23semidirect
291. #14579141C23semidirect
295. #14579140C23semidirect
317. #14579132C23semidirect
328. C4×Dic158C23semidirect
331. #14579126C23semidirect
338. D4×Dic79C23semidirect
355. #14579120C23semidirect
371. C4⋊C4×D79C23semidirect
372. C4⋊C4×D79C23semidirect
393. #14579095C23semidirect
394. #14579094C23semidirect
395. #14579094C23semidirect
396. #14579094C23semidirect
397. #14579093C23semidirect
398. #14579093C23semidirect
399. #14579092C23semidirect
400. #14579092C23semidirect
401. #14579092C23semidirect
402. C4⋊(C79⋊C8)C23semidirect
403. Dic79⋊C8C23semidirect
404. Dic79⋊C8C23semidirect
405. #14579086C23semidirect
406. #14579086C23semidirect
407. #14579086C23semidirect
408. #14579086C23semidirect
409. #14579085C23semidirect
410. #14579085C23semidirect
411. #14579085C23semidirect
412. #14579084C23semidirect
413. #14579084C23semidirect
414. #14579084C23semidirect
415. #14579084C23semidirect
428. #14579082C23semidirect
436. C22⋊(C79⋊C8)C23semidirect
439. (C2×D79)⋊C8C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. #14579072C23semidirect
442. C8×Dic79C23semidirect
443. C8×Dic79C23semidirect
446. C2×SD16×C79C23semidirect
450. C22×C8×C79C23semidirect
451. C4⋊Q8×C79C23semidirect
461. #121×C79C23semidirect
465. C4×D4×C79C23semidirect
468. #117×C79C23semidirect
470. #107×C79C23semidirect
471. #107×C79C23semidirect
472. #106×C79C23semidirect
473. C4⋊C8×C79C23semidirect
474. #103×C79C23semidirect
475. #103×C79C23semidirect
476. #103×C79C23semidirect
483. #102×C79C23semidirect
485. C22⋊C8×C79C23semidirect
486. #97×C79C23semidirect
548. D4×D79#41semidirect
947. #3319D79semidirect
971. C79#61156semidirect
980. #555C2×D79semidirect
1025. #489C2×D79semidirect
1033. #485C2×D79semidirect
1041. #482C2×D79semidirect
1053. #474C2×D79semidirect
1061. #468C2×D79semidirect
1065. #466C2×D79semidirect
1077. #463C2×D79semidirect
1089. #449C2×D79semidirect
1093. #447C2×D79semidirect
1095. #442C2×D79semidirect
1107. #435C2×D79semidirect
1126. #418C2×D79semidirect
1135. #416C2×D79semidirect
1183. C2×SD16C22×D79semidirect
1201. C22×C8C22×D79semidirect
1203. C4⋊Q8C22×D79semidirect
1275. #121C22×D79semidirect
1315. C4×D4C22×D79semidirect
1330. #117C22×D79semidirect
1363. #107C22×D79semidirect
1364. #107C22×D79semidirect
1370. #106C22×D79semidirect
1374. C4⋊C8C22×D79semidirect
1386. #103C22×D79semidirect
1387. #103C22×D79semidirect
1388. #103C22×D79semidirect
1414. #102C22×D79semidirect
1422. C22⋊C8C22×D79semidirect
1424. #97C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237769572
#546×D792
#237756142
#237756122
#237756072
#237756052
#237755502
#237754802
#237754782
#237754382
#237754362
#237753682
#237753662
#237752452
#237752432
#237752382
#237752362
#237737852
#237733472
#237733392
#237731922
#237730252
#237730162
#237728892
#237726382
#237726242
#237722112
#237721332
#237719152
#418×D792
C79×#33192
#6115679