Finite Group Databasebeta

← #35165420

Subgroups — #35165420

Order 20224.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D79C211yesmaximal, characteristic, complemented
2D4×#11929623C211yesmaximal, characteristic, complemented
3#23775659C211yesmaximal, characteristic, complemented
4#23775651C211yesmaximal, characteristic, complemented
5#23775605C211yesmaximal, characteristic, complemented
6#23775597C211yesmaximal, characteristic, complemented
7#23775573C211yesmaximal, characteristic, complemented
8#23775565C211yesmaximal, characteristic, complemented
9#23775541C211yesmaximal, characteristic, complemented
10#23775413C211yesmaximal, characteristic, complemented
11#23775405C211yesmaximal, characteristic, complemented
12#23775381C211yesmaximal, characteristic, complemented
13#23775373C211yesmaximal, characteristic, complemented
14#23775308C211yesmaximal, characteristic, complemented
15#23775300C211yesmaximal, characteristic, complemented
16#23775254C211yesmaximal, characteristic, complemented
17#23775246C211yesmaximal, characteristic, complemented
18#23773799C211yesmaximal, characteristic, complemented
19#23773328C211yesmaximal, characteristic, complemented
20#23773322C211yesmaximal, characteristic, complemented
21#23773217C211yesmaximal, characteristic, complemented
22#23773018C211yesmaximal, characteristic, complemented
23#23773016C211yesmaximal, characteristic, complemented
24#23772859C211yesmaximal, characteristic, complemented
25#23772647C211yesmaximal, characteristic, complemented
26#23772647C211yesmaximal, characteristic, complemented
27#23772211C211yesmaximal, characteristic, complemented
28#23772133C211yesmaximal, characteristic, complemented
29#23771914C211yesmaximal, characteristic, complemented
30C2×#19098561C211yesmaximal, characteristic, complemented
31C79×#3318C211yesmaximal, characteristic, complemented
32C22×#11929623C2211yescharacteristic
33C22×#11929623C2211yescharacteristic
34C2×#14579185C2211yescharacteristic
35C2×#14579185C2211yescharacteristic, complemented
36C2×#14579185C2211yescharacteristic, complemented
37C22×#11929607C2211yescharacteristic, complemented
38C2×M16×D79C2211yescharacteristic, complemented
39#19099266C2211yescharacteristic, complemented
40#19099265C2211yescharacteristic, complemented
41#19099264—21no—
42#19099263C2211yescharacteristic, complemented
43#19099262—21no—
44#19099261C2211yescharacteristic, complemented
45#19099260C2211yescharacteristic, complemented
46#19099259C2211yescharacteristic
47#19099258—21no—
48#19099257C2211yescharacteristic, complemented
49#19099256—21no—
50#19099233C2211yescharacteristic, complemented
51D4×Dic158C2211yescharacteristic, complemented
52#19099219C2211yescharacteristic, complemented
53#19099219C2211yescharacteristic, complemented
54#19099217C2211yescharacteristic, complemented
55#19099213—21no—
56#19099207C2211yescharacteristic, complemented
57#19099207C2211yescharacteristic, complemented
58#19099200—21no—
59#19099200—21no—
60D4×C22⋊D79—21no—
61#19099111C2211yescharacteristic
62#19099108—21no—
63#126×D79—21no—
64#125×D79C2211yescharacteristic, complemented
65#19099073C2211yescharacteristic
66#19099073C2211yescharacteristic
67#19099069—21no—
68#19099069—21no—
69#123×D79—21no—
70#121×D79—21no—
71#121×D79C2211yescharacteristic, complemented
72#121×D79C2211yescharacteristic, complemented
73C4×#11929623C2211yescharacteristic
74C2×D4×Dic79—21no—
75C4×D4×D79—21no—
76C4×D4×D79C2211yescharacteristic
77C4×D4×D79C2211yescharacteristic, complemented
78#117×D79C2211yescharacteristic, complemented
79C2×C4⋊C4×D79C2211yescharacteristic, complemented
80#19098933C2211yescharacteristic, complemented
81#19098932C2211yescharacteristic, complemented
82#19098927C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098916C2211yescharacteristic, complemented
87#19098907C2211yescharacteristic, complemented
88#19098906C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098904C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic, complemented
92#19098898C2211yescharacteristic, complemented
93#19098895C2211yescharacteristic, complemented
94#19098895C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098879C2211yescharacteristic, complemented
99#19098875C2211yescharacteristic, complemented
100#19098875C2211yescharacteristic, complemented
101#19098873C2211yescharacteristic, complemented
102#19098871C2211yescharacteristic, complemented
103#19098869C2211yescharacteristic, complemented
104#19098867C2211yescharacteristic, complemented
105#19098865C2211yescharacteristic, complemented
106#19098863C2211yescharacteristic, complemented
107#19098861C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098814C2211yescharacteristic, complemented
110#19098813C2211yescharacteristic, complemented
111#19098810C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098808C2211yescharacteristic, complemented
114#19098807C2211yescharacteristic, complemented
115#19098798C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic, complemented
117#19098796C2211yescharacteristic, complemented
118#19098793C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098791C2211yescharacteristic, complemented
121#19098790C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098777C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098769C2211yescharacteristic, complemented
127#19098768C2211yescharacteristic, complemented
128#19098755C2211yescharacteristic, complemented
129#19098709C2211yescharacteristic, complemented
130#19098709C2211yescharacteristic, complemented
131#19098709C2211yescharacteristic, complemented
132#19098709C2211yescharacteristic, complemented
133#19098705C2211yescharacteristic, complemented
134#19098705C2211yescharacteristic, complemented
135#19098705C2211yescharacteristic, complemented
136#19098705C2211yescharacteristic, complemented
137#19098704C2211yescharacteristic, complemented
138#19098704C2211yescharacteristic, complemented
139#19098701C2211yescharacteristic, complemented
140#19098701C2211yescharacteristic, complemented
141#19098697C2211yescharacteristic, complemented
142#19098697C2211yescharacteristic, 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#19098602C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic, complemented
160#19098585C2211yescharacteristic, complemented
161#19098573C2211yescharacteristic, complemented
162#19098571C2211yescharacteristic, complemented
163#19098568C2211yescharacteristic, complemented
164#19098566C2211yescharacteristic, complemented
165#19098561C2211yescharacteristic
166#19098561C2211yescharacteristic
167#19098561C2211yescharacteristic
168#19098561C2211yescharacteristic, complemented
169#19098561C2211yescharacteristic, complemented
170#19098561C2211yescharacteristic, complemented
171#19098561C2211yescharacteristic, complemented
172#19098561C2211yescharacteristic, complemented
173#19098561C2211yescharacteristic, complemented
174#19098561C2211yescharacteristic, complemented
175#19098561C2211yescharacteristic, complemented
176#19098561C2211yescharacteristic, complemented
177#19098561C2211yescharacteristic, complemented
178#19098556C2211yescharacteristic, complemented
179#19098556C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181#19098556C2211yescharacteristic, complemented
182C2×#14579086C2211yescharacteristic, complemented
183C2×#14579084C2211yescharacteristic, complemented
184C2×#14579082C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187#19098515C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic
189D42×C79C2211yescharacteristic, complemented
190#490×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929623—24no—
204C2×#11929623—24no—
205C2×#11929623—21no—
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623—21no—
209C2×#11929623—42no—
210C2×#11929623—42no—
211C2×#11929623C2311yescharacteristic
212C2×#11929623C2311yescharacteristic
213C2×#11929623C2311yescharacteristic
214C2×#11929623C2311yescharacteristic
215C2×#11929623C2311yescharacteristic
216C2×#11929623C2311yescharacteristic
217C2×#11929623C2311yescharacteristic
218C22×Dic158C2311yescharacteristic
219C22×Dic158C2311yescharacteristic
220C22×C22⋊D79—21no—
221C22×C22⋊D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—21no—
224C2×D4×D79D411yescharacteristic
225C2×D4×D79C2311yescharacteristic
226C23×Dic79—21no—
227C23×Dic79—21no—
228C22×C4×D79—21no—
229C22×C4×D79—21no—
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232#14579185—24no—
233#14579185—42no—
234#14579185—42no—
235C2×#11929613C2311yescharacteristic
236C2×#11929613C2311yescharacteristic
237C2×#11929613C2311yescharacteristic
238C2×#11929612C2311yescharacteristic
239C2×#11929612C2311yescharacteristic
240C2×#11929612C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244C2×#11929608C2311yescharacteristic
245C2×#11929607—42no—
246C2×#11929607C2311yescharacteristic
247C2×#11929607C2311yescharacteristic
248C2×#11929607C2311yescharacteristic
249C2×#11929607C2311yescharacteristic
250C2×#11929607C2311yescharacteristic
251C2×#11929607C2311yescharacteristic
252M16×D79—42no—
253C22×C79⋊C8C2311yescharacteristic
254C2×C8×D79C2311yescharacteristic
255C2×C8×D79C2311yescharacteristic
256#14579161C2311yescharacteristic
257#14579160—21no—
258#14579157—21no—
259#14579156—21no—
260#14579156—21no—
261#14579156—21no—
262#14579155—21no—
263#14579154—21no—
264#14579154—21no—
265#14579154—21no—
266#14579153C2311yescharacteristic
267#14579152C2311yescharacteristic
268#14579152C2311yescharacteristic
269#14579151—21no—
270#14579151—21no—
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579146—21no—
276#14579146—21no—
277#14579145—21no—
278#14579145—21no—
279#14579145—21no—
280#14579144—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579141C2311yescharacteristic
289#14579141C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579136—21no—
297#14579136C2311yescharacteristic
298#14579136C2311yescharacteristic
299#14579135—21no—
300#14579135—21no—
301#14579135C2311yescharacteristic
302#14579135C2311yescharacteristic
303#14579134—21no—
304#14579134—21no—
305#14579134—21no—
306#14579134—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579132—21no—
318#14579132—21no—
319#14579132—21no—
320#14579132C2311yescharacteristic
321#14579132C2311yescharacteristic
322#14579132C2311yescharacteristic
323#14579132C2311yescharacteristic
324#14579130—21no—
325#14579130—21no—
326#14579129—21no—
327#14579129—21no—
328C4×Dic158C2311yescharacteristic
329#14579126C2311yescharacteristic
330C4×D316—21no—
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79—21no—
337D4×Dic79—21no—
338D4×Dic79—21no—
339D4×Dic79—21no—
340D4×Dic79—21no—
341D4×Dic79—21no—
342D4×Dic79D411yescharacteristic
343D4×Dic79C2311yescharacteristic
344D4×Dic79C2311yescharacteristic
345#14579123—21no—
346#14579123D411yescharacteristic
347#14579123C2311yescharacteristic
348C4×C22⋊D79—21no—
349C4×C22⋊D79—21no—
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79C2311yescharacteristic
353C4×C22⋊D79C2311yescharacteristic
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4D411yescharacteristic
361(C22⋊D79)⋊C4D411yescharacteristic
362#14579120C2311yescharacteristic
363#14579119C2311yescharacteristic
364#14579119C2311yescharacteristic
365#14579119C2311yescharacteristic
366#14579118—21no—
367#14579117—21no—
368#14579117—21no—
369C2×C4⋊Dic79—21no—
370C2×C4⋊Dic79C2311yescharacteristic
371C2×Dic79⋊C4—21no—
372C4⋊C4×D79—21no—
373C4⋊C4×D79—21no—
374C4⋊C4×D79—21no—
375C4⋊C4×D79—21no—
376C4⋊C4×D79D411yescharacteristic
377C4⋊C4×D79C2311yescharacteristic
378C4⋊C4×D79C2311yescharacteristic
379C4⋊C4×D79C2311yescharacteristic
380C4⋊C4×D79C2311yescharacteristic
381C4⋊C4×D79C2311yescharacteristic
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79D411yescharacteristic
389C22⋊C4×D79D411yescharacteristic
390C2×C4×Dic79—21no—
391C42×D79—21no—
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
401#14579092C2311yescharacteristic
402C4⋊(C79⋊C8)C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579082C2311yescharacteristic
431#14579082C2311yescharacteristic
432#14579082C2311yescharacteristic
433#14579082C2311yescharacteristic
434#14579081C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic
436C22⋊(C79⋊C8)C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441#14579072C2311yescharacteristic
442C8×Dic79C2311yescharacteristic
443C8×Dic79C2311yescharacteristic
444C22×D4×C79—21no—
445C22×D4×C79C2311yescharacteristic
446C22×D4×C79C2311yescharacteristic
447C2×D8×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×M16×C79C2311yescharacteristic
451C22×C8×C79C2311yescharacteristic
452#127×C79C2311yescharacteristic
453#126×C79—21no—
454#125×C79C2311yescharacteristic
455#123×C79—21no—
456#121×C79—21no—
457#121×C79—21no—
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#120×C79—21no—
463#120×C79—21no—
464C4×D4×C79—21no—
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468#117×C79C2311yescharacteristic
469C2×C4⋊C4×C79C2311yescharacteristic
470#107×C79C2311yescharacteristic
471#106×C79C2311yescharacteristic
472#106×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C22⋊C8×C79C2311yescharacteristic
485C22⋊C8×C79C2311yescharacteristic
486#97×C79C2311yescharacteristic
487C23×D79—21no—
488C23×D79C2×D411yescharacteristic
489C23×D79C2×D411yescharacteristic
490#11929623—22no—
491#11929623—22no—
492#11929623—22no—
493#11929623—22no—
494#11929623—22no—
495#11929623—22no—
496#11929623—22no—
497#11929623—22no—
498#11929623—22no—
499#11929623—44no—
500#11929623—44no—
501#11929623—41no—
502#11929623—41no—
503#11929623—41no—
504#11929623—41no—
505#11929623—44no—
506#11929623—44no—
507#11929623#4114yes—
508C2×Dic158—22no—
509C2×Dic158—22no—
510C2×Dic158—21no—
511C2×Dic158—21no—
512C2×Dic158—41no—
513C2×Dic158—41no—
514C2×Dic158C2411yescharacteristic
515C2×Dic158C2411yescharacteristic
516C2×Dic158C2411yescharacteristic
517C2×D316—21no—
518C2×D316—21no—
519C2×D316C2×D411yescharacteristic
520C2×D316C2411yescharacteristic
521C2×C22⋊D79—21no—
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—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—44no—
536C2×C22⋊D79—44no—
537C2×C22⋊D79C2×D411yescharacteristic
538C2×C22⋊D79C2×D411yescharacteristic
539D4×D79—22no—
540D4×D79—22no—
541D4×D79—42no—
542D4×D79—44no—
543D4×D79—82no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79—21no—
549C22×Dic79—21no—
550C22×Dic79—21no—
551C22×Dic79—21no—
552C22×Dic79—21no—
553C22×Dic79—21no—
554C22×Dic79—21no—
555C22×Dic79—21no—
556C22×Dic79—44no—
557C22×Dic79—44no—
558C22×Dic79C2×D411yescharacteristic
559C22×Dic79C2×D411yescharacteristic
560C2×C4×D79—22no—
561C2×C4×D79—22no—
562C2×C4×D79—22no—
563C2×C4×D79—22no—
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
568C2×C4×D79—21no—
569C2×C4×D79—21no—
570C2×C4×D79—21no—
571C2×C4×D79—82no—
572C2×C4×D79—82no—
573C2×C4×D79C2×D411yescharacteristic
574C2×C4×D79C2×D411yescharacteristic
575C2×C4×D79C2×D411yescharacteristic
576C2×C4×D79C2×D411yescharacteristic
577C2×C4×D79C2×D411yescharacteristic
578C2×C4×D79C2×D411yescharacteristic
579C2×C4×D79C2411yescharacteristic
580C2×C4×D79C2411yescharacteristic
581C2×C4×D79C2411yescharacteristic
582#11929613—22no—
583#11929613—41no—
584#11929613—41no—
585#11929612—22no—
586#11929612—41no—
587#11929612—41no—
588#11929609—22no—
589#11929609—41no—
590#11929609—41no—
591#11929608—41no—
592#11929607—22no—
593#11929607—22no—
594#11929607—22no—
595#11929607—22no—
596#11929607—41no—
597#11929607—41no—
598C2×C79⋊C8—41no—
599C2×C79⋊C8C2411yescharacteristic
600C2×C79⋊C8C2411yescharacteristic
601C2×C79⋊C8C2411yescharacteristic
602C2×C79⋊C8C2411yescharacteristic
603C8×D79—41no—
604C8×D79—41no—
605C4⋊Dic79—21no—
606C4⋊Dic79—21no—
607C4⋊Dic79—21no—
608C4⋊Dic79—21no—
609C4⋊Dic79—21no—
610C4⋊Dic79—21no—
611C4⋊Dic79—21no—
612C4⋊Dic79C2×D411yescharacteristic
613C4⋊Dic79C2411yescharacteristic
614C4⋊Dic79C2411yescharacteristic
615C4⋊Dic79C2411yescharacteristic
616C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4C2×D411yescharacteristic
631Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79C2×D411yescharacteristic
646C22⋊Dic79C2×D411yescharacteristic
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×Dic79C2×D411yescharacteristic
669C4×Dic79C2×D411yescharacteristic
670C4×Dic79C2411yescharacteristic
671C24×C79—21no—
672C24×C79—21no—
673C2×D4×C79—22no—
674C2×D4×C79—22no—
675C2×D4×C79—21no—
676C2×D4×C79—21no—
677C2×D4×C79—21no—
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×C79—41no—
685C2×D4×C79—44no—
686C2×D4×C79C2×D411yescharacteristic
687C2×D4×C79C2411yescharacteristic
688C2×D4×C79C2411yescharacteristic
689C2×D4×C79C2411yescharacteristic
690C2×D4×C79C2411yescharacteristic
691C22×C4×C79—21no—
692C22×C4×C79—21no—
693C22×C4×C79—21no—
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2411yescharacteristic
696D8×C79—22no—
697D8×C79—41no—
698D8×C79—41no—
699M16×C79—41no—
700C2×C8×C79—41no—
701C2×C8×C79C2411yescharacteristic
702C2×C8×C79C2411yescharacteristic
703C2×C8×C79C2411yescharacteristic
704C2×C8×C79C2411yescharacteristic
705C4⋊C4×C79—21no—
706C4⋊C4×C79—21no—
707C4⋊C4×C79—21no—
708C4⋊C4×C79C2×D411yescharacteristic
709C4⋊C4×C79C2411yescharacteristic
710C4⋊C4×C79C2411yescharacteristic
711C4⋊C4×C79C2411yescharacteristic
712C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
720C22⋊C4×C79C2×D411yescharacteristic
721C22⋊C4×C79C2×D411yescharacteristic
722C42×C79—21no—
723C42×C79C2411yescharacteristic
724C23×C79—21no—
725C23×C79—21no—
726C23×C79—21no—
727C23×C79—21no—
728C23×C79—42no—
729C23×C79—42no—
730C23×C79—42no—
731C23×C79—42no—
732C23×C79—81no—
733C23×C79—81no—
734C23×C79C22×D411yescharacteristic
735C23×C79C22×D411yescharacteristic
736C22×D79—22no—
737C22×D79—22no—
738C22×D79—22no—
739C22×D79—21no—
740C22×D79—41no—
741C22×D79—41no—
742C22×D79—41no—
743C22×D79—42no—
744C22×D79—42no—
745C22×D79—42no—
746C22×D79C22×D411yescharacteristic
747C22×D79C22×D411yescharacteristic
748C22×D79C22×D411yescharacteristic
749D4×C79—22no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—21no—
753D4×C79—21no—
754D4×C79—21no—
755D4×C79—21no—
756D4×C79—21no—
757D4×C79—42no—
758D4×C79—42no—
759D4×C79—42no—
760D4×C79—42no—
761D4×C79—42no—
762D4×C79—42no—
763D4×C79—81no—
764D4×C79—81no—
765D4×C79C2×#4112yes—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—42no—
775C2×C4×C79—81no—
776C2×C4×C79—81no—
777C2×C4×C79C22×D411yescharacteristic
778C2×C4×C79C22×D411yescharacteristic
779C2×C4×C79C22×D411yescharacteristic
780C2×C4×C79C22×D411yescharacteristic
781C2×C4×C79C2511yescharacteristic
782C22⋊D79—22no—
783C22⋊D79—24no—
784C22⋊D79—41no—
785C22⋊D79—42no—
786C22⋊D79—42no—
787C22⋊D79—42no—
788C22⋊D79—42no—
789C22⋊D79—42no—
790C22⋊D79—42no—
791C22⋊D79—42no—
792C22⋊D79—42no—
793C22⋊D79—42no—
794C22⋊D79—81no—
795C22⋊D79—81no—
796C22⋊D79—81no—
797C22⋊D79—81no—
798C2×Dic79—21no—
799C2×Dic79—22no—
800C2×Dic79—22no—
801C2×Dic79—24no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—42no—
809C2×Dic79—42no—
810C2×Dic79—42no—
811C2×Dic79—42no—
812C2×Dic79—42no—
813C2×Dic79—42no—
814C2×Dic79—42no—
815C2×Dic79—42no—
816C2×Dic79—81no—
817C2×Dic79—81no—
818C2×Dic79—81no—
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821C2×Dic79C22×D411yescharacteristic
822C2×Dic79C22×D411yescharacteristic
823C2×Dic79C22×D411yescharacteristic
824D316—21no—
825D316—21no—
826D316—41no—
827D316—42no—
828D316—81no—
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—81no—
843C4×D79—81no—
844C4×D79—81no—
845C4×D79—81no—
846C4×D79C2×#4112yes—
847C4×D79H(5,𝔽2)12yes—
848Dic158—21no—
849Dic158—21no—
850Dic158—21no—
851Dic158—21no—
852Dic158—21no—
853Dic158—42no—
854Dic158—42no—
855Dic158C2×#4112yes—
856C8×C79—21no—
857C8×C79—21no—
858C8×C79—21no—
859C8×C79—21no—
860C79⋊C8—21no—
861C79⋊C8—21no—
862C79⋊C8—21no—
863C79⋊C8—21no—
864C22×C79—21no—
865C22×C79—21no—
866C22×C79—21no—
867C22×C79—22no—
868C22×C79—21no—
869C22×C79—21no—
870C22×C79—41no—
871C22×C79—41no—
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—41no—
881C22×C79—84no—
882C22×C79—84no—
883C22×C79#57512yes—
884C22×C79C23×D411yescharacteristic
885C2×D79—21no—
886C2×D79—21no—
887C2×D79—21no—
888C2×D79—21no—
889C2×D79—21no—
890C2×D79—21no—
891C2×D79—21no—
892C2×D79—21no—
893C2×D79—44no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—82no—
898C2×D79—84no—
899C2×D79#54612yes—
900C4×C79—21no—
901C4×C79—21no—
902C4×C79—21no—
903C4×C79—21no—
904C4×C79—41no—
905C4×C79—41no—
906C4×C79—41no—
907C4×C79—41no—
908C4×C79C22×#4111yescharacteristic
909C4×C79C2×H(5,𝔽2)11yescharacteristic
910Dic79—21no—
911Dic79—22no—
912Dic79—21no—
913Dic79—21no—
914Dic79—21no—
915Dic79—41no—
916Dic79—41no—
917Dic79—41no—
918Dic79—41no—
919Dic79—41no—
920Dic79—41no—
921Dic79#54612yes—
922#61164—791nomaximal, Sylow
923C2×C79—22no—
924C2×C79—41no—
925C2×C79—42no—
926C2×C79—81no—
927C2×C79—81no—
928C2×C79—81no—
929C2×C79C2×#54611yescharacteristic
930C2×C79C2×#57511yescharacteristic
931C2×C79#358511yescharacteristic
932D79—22no—
933D79—41no—
934D79—41no—
935D79—81no—
936C2×#553—791no—
937D4×#41—791no—
938#3326—791no—
939#3326—791no—
940#3322—791no—
941#3322—791no—
942#3320—791no—
943#3320—791no—
944#3318—791no—
945#3318D7911yescharacteristic, complemented
946#3309—791no—
947#3309—791no—
948#3307—791no—
949#3307—791no—
950#3301—791no—
951#3301—791no—
952#3297—791no—
953#3297—791no—
954#3142—791no—
955#3093—791no—
956#3092—791no—
957#3080—791no—
958#3055—791no—
959#3055—791no—
960#3036—791no—
961#3006—791no—
962#3006—791no—
963C4×AGL(1,ℤ/8)—791no—
964D4×M16—791no—
965#2896—791no—
966C2×#417—791no—
967C79#6116411yescharacteristic, complemented, Sylow
968C22×#41—791no—
969C22×#41—791no—
970C2×AGL(1,ℤ/8)—791no—
971C2×AGL(1,ℤ/8)—791no—
972C2×AGL(1,ℤ/8)—791no—
973C22×M16—791no—
974C22×M16—791no—
975#553—791no—
976#553—791no—
977#553—791no—
978#553—791no—
979#553—791no—
980#553—791no—
981#553—791no—
982#553—1581no—
983#553—1581no—
984#553—1581no—
985#553—1581no—
986#553C2×D7911yescharacteristic
987#550—791no—
988D4×Q8—791no—
989#548—791no—
990#548—791no—
991#547—791no—
992#547—1581no—
993#546—791no—
994#546—791no—
995#546—1581no—
996#546—1581no—
997D42—1581no—
998D42C2×D7911yescharacteristic, complemented
999#532—791no—
1000#532—1581no—
1001C2×#126—1581no—
1002C2×#125—791no—
1003#525—791no—
1004#525—791no—
1005#525—1581no—
1006#525—1581no—
1007C2×#123—1581no—
1008C2×#121—791no—
1009C2×#121—791no—
1010C2×#121—1581no—
1011C4×#41—791no—
1012C2×C4×D4—791no—
1013C2×C4×D4—791no—
1014C2×C4×D4—1581no—
1015C2×C4×D4—1581no—
1016C2×#117—791no—
1017C22×C4⋊C4—791no—
1018#491—791no—
1019#491—791no—
1020#490—791no—
1021#490C2×D7911yescharacteristic, complemented
1022#488—791no—
1023#488—791no—
1024#488—791no—
1025#488—791no—
1026#485—791no—
1027#485—791no—
1028#485—791no—
1029#485—791no—
1030#484—791no—
1031#484—791no—
1032#483—791no—
1033#483—791no—
1034#482—791no—
1035#482—791no—
1036#482—791no—
1037#482C2×D7911yescharacteristic, complemented
1038#481—791no—
1039#481C2×D7911yescharacteristic, complemented
1040#480—791no—
1041#480—791no—
1042#479—791no—
1043#479—791no—
1044#479—791no—
1045#479—791no—
1046#478—791no—
1047#478—791no—
1048#478—791no—
1049#478C2×D7911yescharacteristic, complemented
1050#469—791no—
1051#469—791no—
1052#469—791no—
1053#469C2×D7911yescharacteristic, complemented
1054#468—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#466—791no—
1059#466—791no—
1060#466—791no—
1061#466C2×D7911yescharacteristic, complemented
1062#465—791no—
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#463—791no—
1067#463—791no—
1068#463—791no—
1069#463—791no—
1070#461—791no—
1071#461—791no—
1072#459—791no—
1073#459C2×D7911yescharacteristic, complemented
1074#449—791no—
1075#449—791no—
1076#449—791no—
1077#449—791no—
1078#449—791no—
1079#449—791no—
1080#449—791no—
1081#449—791no—
1082#448—791no—
1083#448—791no—
1084#448—791no—
1085#448—791no—
1086#447—791no—
1087#447—791no—
1088#447C2×D7911yescharacteristic, complemented
1089#447C2×D7911yescharacteristic, complemented
1090#442—791no—
1091#442C2×D7911yescharacteristic, complemented
1092#440—791no—
1093#440—791no—
1094C4×SD16—791no—
1095C4×SD16—791no—
1096C4×D8—791no—
1097C4×D8—791no—
1098#436—791no—
1099#436—791no—
1100#435—791no—
1101#435—791no—
1102#435—791no—
1103#435C2×D7911yescharacteristic, complemented
1104C8×D4—791no—
1105C8×D4—791no—
1106#428—791no—
1107#428—791no—
1108#428—791no—
1109#423—791no—
1110#419—791no—
1111#419—791no—
1112#418—791no—
1113#418—791no—
1114#418C2×D7911yescharacteristic, complemented
1115#417—791no—
1116#417—791no—
1117#417—791no—
1118#417—791no—
1119#417—791no—
1120#417—791no—
1121#417—791no—
1122#417—791no—
1123#417—791no—
1124#417—791no—
1125#417—791no—
1126#417—791no—
1127#417—791no—
1128#416—791no—
1129#416—791no—
1130#416—791no—
1131#416—791no—
1132C2×#103—791no—
1133C2×#103—791no—
1134C2×#102—791no—
1135C2×#102C2×D7911yescharacteristic, complemented
1136#407—791no—
1137#407—791no—
1138C4×M16—791no—
1139C2×#41—3162no—
1140C2×#41—3162no—
1141C2×#41—791no—
1142C2×#41—791no—
1143C2×#41—791no—
1144C2×#41—791no—
1145C2×#41—791no—
1146C2×#41—791no—
1147C2×#41—791no—
1148C2×#41—1584no—
1149C2×#41—1584no—
1150C2×#41—1581no—
1151C2×#41—1581no—
1152C2×#41—1581no—
1153C2×#41—1581no—
1154C22×Q8—791no—
1155C22×Q8—791no—
1156C22×D4—21no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—1581no—
1160C22×D4—1581no—
1161C22×D4—1581no—
1162C22×D4—1581no—
1163C22×D4C22×D7911yescharacteristic
1164C22×D4C22×D7911yescharacteristic
1165C23×C4—791no—
1166C23×C4—791no—
1167C23×C4—1581no—
1168C23×C4—1581no—
1169C23×C4—1581no—
1170C23×C4—1581no—
1171AGL(1,ℤ/8)—3162no—
1172AGL(1,ℤ/8)—3162no—
1173AGL(1,ℤ/8)—1584no—
1174C2×SD16—791no—
1175C2×SD16—791no—
1176C2×SD16—791no—
1177C2×SD16—791no—
1178C2×SD16—791no—
1179C2×SD16—791no—
1180C2×D8—791no—
1181C2×D8—791no—
1182C2×D8—791no—
1183C2×D8C22×D7911yescharacteristic
1184C2×D8C22×D7911yescharacteristic
1185C2×D8C22×D7911yescharacteristic
1186C2×M16—3162no—
1187C2×M16—3162no—
1188C2×M16—791no—
1189C2×M16—791no—
1190C2×M16—791no—
1191C2×M16—791no—
1192C2×M16—791no—
1193C2×M16—791no—
1194C2×M16—791no—
1195C2×M16C22×D7911yescharacteristic
1196C22×C8—791no—
1197C22×C8—791no—
1198C22×C8—791no—
1199C22×C8C22×D7911yescharacteristic
1200C4⋊Q8—791no—
1201C4⋊Q8—1581no—
1202#127—1581no—
1203#127C22×D7911yescharacteristic
1204#126—21no—
1205#126—1581no—
1206#126—1581no—
1207#126—1581no—
1208#126—1581no—
1209#126—1581no—
1210#126—1581no—
1211#126—1581no—
1212#125—791no—
1213#125—791no—
1214#125—791no—
1215#125—1581no—
1216#125—1581no—
1217#125C22×D7911yescharacteristic
1218#124—791no—
1219#124—791no—
1220#124—1581no—
1221#124—1581no—
1222#123—21no—
1223#123—1581no—
1224#123—1581no—
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—
1236C22⋊Q8—791no—
1237C22⋊Q8—791no—
1238C22⋊Q8—791no—
1239C22⋊Q8—791no—
1240C22⋊Q8—1581no—
1241C22⋊Q8—1581no—
1242C22⋊Q8—1581no—
1243C22⋊Q8—1581no—
1244#121—21no—
1245#121—21no—
1246#121—791no—
1247#121—791no—
1248#121—791no—
1249#121—791no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—1581no—
1255#121—1581no—
1256#121—1581no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
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#121—1581no—
1274#121C22×D7911yescharacteristic
1275#121C22×D7911yescharacteristic
1276#121C22×D7911yescharacteristic
1277#121C22×D7911yescharacteristic
1278#120—21no—
1279#120—21no—
1280#120—1581no—
1281#120—1581no—
1282#120—1581no—
1283#120—1581no—
1284C4×Q8—791no—
1285C4×Q8—791no—
1286C4×D4—21no—
1287C4×D4—791no—
1288C4×D4—791no—
1289C4×D4—791no—
1290C4×D4—791no—
1291C4×D4—791no—
1292C4×D4—791no—
1293C4×D4—791no—
1294C4×D4—791no—
1295C4×D4—791no—
1296C4×D4—791no—
1297C4×D4—791no—
1298C4×D4—1581no—
1299C4×D4—1581no—
1300C4×D4—1581no—
1301C4×D4—1581no—
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×D4—1581no—
1314C4×D4—1581no—
1315C4×D4—1581no—
1316C4×D4—1581no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4C22×D7911yescharacteristic
1320C4×D4C22×D7911yescharacteristic
1321C4×D4C22×D7911yescharacteristic
1322#117—791no—
1323#117—791no—
1324#117—791no—
1325#117—791no—
1326#117—1581no—
1327#117—1581no—
1328#117—1581no—
1329#117C22×D7911yescharacteristic
1330C2×C4⋊C4—791no—
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×C4⋊C4—1581no—
1339C2×C4⋊C4—1581no—
1340C2×C4⋊C4—1581no—
1341C2×C4⋊C4—1581no—
1342C2×C4⋊C4—1581no—
1343C2×C4⋊C4C22×D7911yescharacteristic
1344C2×C22⋊C4—791no—
1345C2×C22⋊C4—791no—
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×C42—791no—
1353C2×C42—1581no—
1354C2×C42—1581no—
1355#107—791no—
1356#107—791no—
1357#107—791no—
1358#107—791no—
1359#107—791no—
1360#107C22×D7911yescharacteristic
1361#106—791no—
1362#106—791no—
1363#106—791no—
1364#106—791no—
1365#106C22×D7911yescharacteristic
1366#106C22×D7911yescharacteristic
1367C4⋊C8—791no—
1368C4⋊C8—791no—
1369C4⋊C8—791no—
1370C4⋊C8C22×D7911yescharacteristic
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#103—791no—
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#103—791no—
1387#103—791no—
1388#103—791no—
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#102C22×D7911yescharacteristic
1402#102C22×D7911yescharacteristic
1403#102C22×D7911yescharacteristic
1404#102C22×D7911yescharacteristic
1405#102C22×D7911yescharacteristic
1406#102C22×D7911yescharacteristic
1407#102C22×D7911yescharacteristic
1408#102C22×D7911yescharacteristic
1409#102C22×D7911yescharacteristic
1410#102C22×D7911yescharacteristic
1411C22⋊C8—791no—
1412C22⋊C8—791no—
1413C22⋊C8—791no—
1414C22⋊C8—791no—
1415C22⋊C8—791no—
1416C22⋊C8—791no—
1417C22⋊C8C22×D7911yescharacteristic
1418C22⋊C8C22×D7911yescharacteristic
1419#97—791no—
1420#97C22×D7911yescharacteristic
1421C4×C8—791no—
1422C4×C8—791no—
1423C24—21no—
1424C24—21no—
1425C24—791no—
1426C24—791no—
1427C24—1581no—
1428#41—3161no—
1429#41—3161no—
1430#41—3161no—
1431#41—3161no—
1432#41—3164no—
1433#41—3164no—
1434#41—3164no—
1435#41—3164no—
1436#41—794no—
1437#41—1582no—
1438#41—1582no—
1439#41—1582no—
1440#41—1582no—
1441#41—1582no—
1442#41—1582no—
1443#41—1582no—
1444#41—1582no—
1445#41—1582no—
1446C2×Q8—3161no—
1447C2×Q8—3161no—
1448C2×Q8—791no—
1449C2×Q8—791no—
1450C2×Q8—791no—
1451C2×Q8—1582no—
1452C2×Q8—1582no—
1453C2×Q8—1581no—
1454C2×Q8—1581no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—44no—
1468C2×D4—3162no—
1469C2×D4—3164no—
1470C2×D4—3164no—
1471C2×D4—3164no—
1472C2×D4—791no—
1473C2×D4—791no—
1474C2×D4—791no—
1475C2×D4—791no—
1476C2×D4—6322no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1582no—
1480C2×D4—1582no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4—1581no—
1487C2×D4—1581no—
1488C2×D4—1581no—
1489C2×D4—1581no—
1490C2×D4—1581no—
1491C2×D4—1581no—
1492C2×D4—1581no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4D4×D7911yescharacteristic
1496C2×D4C23×D7911yescharacteristic
1497C2×D4C23×D7911yescharacteristic
1498C2×D4C23×D7911yescharacteristic
1499C2×D4C23×D7911yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—3164no—
1504C22×C4—3164no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—791no—
1508C22×C4—791no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—6322no—
1517C22×C4—6322no—
1518C22×C4—1581no—
1519C22×C4—1581no—
1520C22×C4—1581no—
1521C22×C4—1581no—
1522C22×C4—1582no—
1523C22×C4—1582no—
1524C22×C4—1582no—
1525C22×C4—1582no—
1526C22×C4—1581no—
1527C22×C4—1581no—
1528C22×C4—1581no—
1529C22×C4—1581no—
1530C22×C4—1581no—
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×C4—1581no—
1540C22×C4—1581no—
1541C22×C4C23×D7911yescharacteristic
1542C22×C4C23×D7911yescharacteristic
1543SD16—3161no—
1544SD16—3161no—
1545SD16—3161no—
1546SD16—3161no—
1547SD16—1582no—
1548SD16—1582no—
1549D8—22no—
1550D8—41no—
1551D8—41no—
1552D8—3161no—
1553D8—3161no—
1554D8—1582no—
1555M16—41no—
1556M16—3161no—
1557M16—3161no—
1558M16—3161no—
1559M16—1582no—
1560M16—1582no—
1561M16—1582no—
1562M16—1582no—
1563C2×C8—41no—
1564C2×C8—3161no—
1565C2×C8—3161no—
1566C2×C8—3161no—
1567C2×C8—791no—
1568C2×C8—791no—
1569C2×C8—791no—
1570C2×C8—791no—
1571C2×C8C23×D7911yescharacteristic
1572C2×C8C23×D7911yescharacteristic
1573C2×C8C23×D7911yescharacteristic
1574C2×C8C23×D7911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—791no—
1579C4⋊C4—791no—
1580C4⋊C4—791no—
1581C4⋊C4—791no—
1582C4⋊C4—791no—
1583C4⋊C4—791no—
1584C4⋊C4—791no—
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⋊C4—1581no—
1602C4⋊C4—1581no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4D4×D7911yescharacteristic
1606C4⋊C4C23×D7911yescharacteristic
1607C4⋊C4C23×D7911yescharacteristic
1608C4⋊C4C23×D7911yescharacteristic
1609C4⋊C4C23×D7911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—791no—
1618C22⋊C4—791no—
1619C22⋊C4—791no—
1620C22⋊C4—791no—
1621C22⋊C4—791no—
1622C22⋊C4—791no—
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⋊C4D4×D7911yescharacteristic
1648C22⋊C4D4×D7911yescharacteristic
1649C42—21no—
1650C42—791no—
1651C42—791no—
1652C42—791no—
1653C42—1581no—
1654C42—1581no—
1655C42—1581no—
1656C42—1581no—
1657C42—1581no—
1658C42—1581no—
1659C42C23×D7911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—42no—
1665C23—42no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—81no—
1670C23—3161no—
1671C23—3161no—
1672C23—3161no—
1673C23—3162no—
1674C23—3162no—
1675C23—3162no—
1676C23—791no—
1677C23—791no—
1678C23—791no—
1679C23—1582no—
1680C23—1582no—
1681C23—1581no—
1682C23—1582no—
1683C23C2×D4×D7911yescharacteristic
1684C23C2×D4×D7911yescharacteristic
1685Q8—3162no—
1686Q8—3162no—
1687Q8—792no—
1688Q8—1581no—
1689Q8—1581no—
1690Q8—1581no—
1691Q8—1581no—
1692Q8—1581no—
1693D4—22no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—42no—
1707D4—81no—
1708D4—81no—
1709D4—3161no—
1710D4—3162no—
1711D4—3162no—
1712D4—3162no—
1713D4—3162no—
1714D4—3162no—
1715D4—3162no—
1716D4—3162no—
1717D4—3162no—
1718D4—3161no—
1719D4—3162no—
1720D4—3162no—
1721D4—6321no—
1722D4—6321no—
1723D4—6321no—
1724D4—6321no—
1725D4—6321no—
1726D4—1584no—
1727D4—1582no—
1728D4—1581no—
1729D4—1581no—
1730D4#41×D7912yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—42no—
1740C2×C4—81no—
1741C2×C4—81no—
1742C2×C4—3161no—
1743C2×C4—3161no—
1744C2×C4—3162no—
1745C2×C4—3162no—
1746C2×C4—3162no—
1747C2×C4—3162no—
1748C2×C4—3162no—
1749C2×C4—3162no—
1750C2×C4—3162no—
1751C2×C4—3162no—
1752C2×C4—3162no—
1753C2×C4—3162no—
1754C2×C4—3162no—
1755C2×C4—791no—
1756C2×C4—792no—
1757C2×C4—792no—
1758C2×C4—791no—
1759C2×C4—791no—
1760C2×C4—791no—
1761C2×C4—791no—
1762C2×C4—6321no—
1763C2×C4—6321no—
1764C2×C4—6321no—
1765C2×C4—6321no—
1766C2×C4—6321no—
1767C2×C4—6321no—
1768C2×C4—6321no—
1769C2×C4—1582no—
1770C2×C4—1582no—
1771C2×C4—1582no—
1772C2×C4—1582no—
1773C2×C4—1581no—
1774C2×C4—1581no—
1775C2×C4—1581no—
1776C2×C4—1581no—
1777C2×C4—1581no—
1778C2×C4—1581no—
1779C2×C4—1582no—
1780C2×C4—1582no—
1781C2×C4—1584no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4C2×D4×D7911yescharacteristic
1788C2×C4C2×D4×D7911yescharacteristic
1789C2×C4C2×D4×D7911yescharacteristic
1790C2×C4C2×D4×D7911yescharacteristic
1791C2×C4C24×D7911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1581no—
1797C8—1581no—
1798C8—1581no—
1799C8—1581no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—84no—
1818C22—84no—
1819C22—3164no—
1820C22—3161no—
1821C22—3161no—
1822C22—3161no—
1823C22—792no—
1824C22—6322no—
1825C22—6324no—
1826C22—1581no—
1827C22—1581no—
1828C22—1581no—
1829C22—1581no—
1830C22—1581no—
1831C22—1581no—
1832C22—1581no—
1833C22—1581no—
1834C22#1909935912yes—
1835C22C22×D4×D7911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—3161no—
1845C4—3161no—
1846C4—3161no—
1847C4—3161no—
1848C4—3161no—
1849C4—3161no—
1850C4—792no—
1851C4—1581no—
1852C4—1581no—
1853C4—1582no—
1854C4—1581no—
1855C4—1581no—
1856C4C2×#41×D7911yescharacteristic
1857C4H(5,𝔽2)×D7911yescharacteristic
1858C2—22no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2—3161no—
1865C2—3161no—
1866C2—6321no—
1867C2—1582no—
1868C2#546×D7911yescharacteristic
1869C2C2×#1909935911yescharacteristic
1870C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3318C2
socleC22×C79C23×D4
hypercenter#3318D79
hypocenterC79#61164
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #553×D79C2semidirect
2. D4×#11929623C2semidirect
3. #23775659C2semidirect
4. #23775651C2semidirect
5. #23775605C2semidirect
6. #23775597C2semidirect
7. #23775573C2semidirect
8. #23775565C2semidirect
9. #23775541C2semidirect
10. #23775413C2semidirect
11. #23775405C2semidirect
12. #23775381C2semidirect
13. #23775373C2semidirect
14. #23775308C2semidirect
15. #23775300C2semidirect
16. #23775254C2semidirect
17. #23775246C2semidirect
18. #23773799C2semidirect
19. #23773328C2semidirect
20. #23773322C2semidirect
21. #23773217C2semidirect
22. #23773018C2semidirect
23. #23773016C2semidirect
24. #23772859C2semidirect
25. #23772647C2semidirect
26. #23772647C2semidirect
27. #23772211C2semidirect
28. #23772133C2semidirect
29. #23771914C2semidirect
30. C2×#19098561C2semidirect
31. C79×#3318C2semidirect
35. C2×#14579185C22semidirect
36. C2×#14579185C22semidirect
37. C22×#11929607C22semidirect
38. C2×M16×D79C22semidirect
39. #19099266C22semidirect
40. #19099265C22semidirect
42. #19099263C22semidirect
44. #19099261C22semidirect
45. #19099260C22semidirect
48. #19099257C22semidirect
50. #19099233C22semidirect
51. D4×Dic158C22semidirect
52. #19099219C22semidirect
53. #19099219C22semidirect
54. #19099217C22semidirect
56. #19099207C22semidirect
57. #19099207C22semidirect
64. #125×D79C22semidirect
71. #121×D79C22semidirect
72. #121×D79C22semidirect
77. C4×D4×D79C22semidirect
78. #117×D79C22semidirect
79. C2×C4⋊C4×D79C22semidirect
80. #19098933C22semidirect
81. #19098932C22semidirect
82. #19098927C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
85. #19098916C22semidirect
86. #19098916C22semidirect
87. #19098907C22semidirect
88. #19098906C22semidirect
89. #19098905C22semidirect
90. #19098904C22semidirect
91. #19098899C22semidirect
92. #19098898C22semidirect
93. #19098895C22semidirect
94. #19098895C22semidirect
95. #19098886C22semidirect
96. #19098885C22semidirect
97. #19098884C22semidirect
98. #19098879C22semidirect
99. #19098875C22semidirect
100. #19098875C22semidirect
101. #19098873C22semidirect
102. #19098871C22semidirect
103. #19098869C22semidirect
104. #19098867C22semidirect
105. #19098865C22semidirect
106. #19098863C22semidirect
107. #19098861C22semidirect
108. #19098815C22semidirect
109. #19098814C22semidirect
110. #19098813C22semidirect
111. #19098810C22semidirect
112. #19098809C22semidirect
113. #19098808C22semidirect
114. #19098807C22semidirect
115. #19098798C22semidirect
116. #19098797C22semidirect
117. #19098796C22semidirect
118. #19098793C22semidirect
119. #19098792C22semidirect
120. #19098791C22semidirect
121. #19098790C22semidirect
122. #19098777C22semidirect
123. #19098777C22semidirect
124. #19098776C22semidirect
125. #19098776C22semidirect
126. #19098769C22semidirect
127. #19098768C22semidirect
128. #19098755C22semidirect
129. #19098709C22semidirect
130. #19098709C22semidirect
131. #19098709C22semidirect
132. #19098709C22semidirect
133. #19098705C22semidirect
134. #19098705C22semidirect
135. #19098705C22semidirect
136. #19098705C22semidirect
137. #19098704C22semidirect
138. #19098704C22semidirect
139. #19098701C22semidirect
140. #19098701C22semidirect
141. #19098697C22semidirect
142. #19098697C22semidirect
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. #19098602C22semidirect
159. #19098602C22semidirect
160. #19098585C22semidirect
161. #19098573C22semidirect
162. #19098571C22semidirect
163. #19098568C22semidirect
164. #19098566C22semidirect
168. #19098561C22semidirect
169. #19098561C22semidirect
170. #19098561C22semidirect
171. #19098561C22semidirect
172. #19098561C22semidirect
173. #19098561C22semidirect
174. #19098561C22semidirect
175. #19098561C22semidirect
176. #19098561C22semidirect
177. #19098561C22semidirect
178. #19098556C22semidirect
179. #19098556C22semidirect
180. #19098556C22semidirect
181. #19098556C22semidirect
182. C2×#14579086C22semidirect
183. C2×#14579084C22semidirect
184. C2×#14579082C22semidirect
185. #19098525C22semidirect
186. #19098525C22semidirect
187. #19098515C22semidirect
189. D42×C79C22semidirect
190. #490×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #478×C79C22semidirect
194. #469×C79C22semidirect
195. #466×C79C22semidirect
196. #459×C79C22semidirect
197. #447×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. C2×#102×C79C22semidirect
945. #3318D79semidirect
967. C79#61164semidirect
998. D42C2×D79semidirect
1021. #490C2×D79semidirect
1037. #482C2×D79semidirect
1039. #481C2×D79semidirect
1049. #478C2×D79semidirect
1053. #469C2×D79semidirect
1061. #466C2×D79semidirect
1073. #459C2×D79semidirect
1088. #447C2×D79semidirect
1089. #447C2×D79semidirect
1091. #442C2×D79semidirect
1103. #435C2×D79semidirect
1114. #418C2×D79semidirect
1135. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#553×D792
D4×#119296232
#237756592
#237756512
#237756052
#237755972
#237755732
#237755652
#237755412
#237754132
#237754052
#237753812
#237753732
#237753082
#237753002
#237752542
#237752462
#237737992
#237733282
#237733222
#237732172
#237730182
#237730162
#237728592
#237726472
#237722112
#237721332
#237719142
C2×#190985612
C79×#33182
#6116479