Finite Group Databasebeta

← #35183750

Subgroups — #35183750

Order 20224.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777909C211yesmaximal, characteristic, complemented
2#23777412C211yesmaximal, characteristic, complemented
3#23776473C211yesmaximal, characteristic, complemented
4#23776465C211yesmaximal, characteristic, complemented
5#23776215C211yesmaximal, characteristic, complemented
6#23776209C211yesmaximal, characteristic, complemented
7#23775626C211yesmaximal, characteristic, complemented
8#23775624C211yesmaximal, characteristic, complemented
9#23775558C211yesmaximal, characteristic, complemented
10#23775556C211yesmaximal, characteristic, complemented
11#23775472C211yesmaximal, characteristic, complemented
12#23775470C211yesmaximal, characteristic, complemented
13#23775057C211yesmaximal, characteristic, complemented
14#23775051C211yesmaximal, characteristic, complemented
15#23774911C211yesmaximal, characteristic, complemented
16#23774895C211yesmaximal, characteristic, complemented
17#23774888C211yesmaximal, characteristic, complemented
18#23774862C211yesmaximal, characteristic, complemented
19#23774857C211yesmaximal, characteristic, complemented
20#23774784C211yesmaximal, characteristic, complemented
21#23774500C211yesmaximal, characteristic, complemented
22#23774498C211yesmaximal, characteristic, complemented
23#23774398C211yesmaximal, characteristic, complemented
24#23773630C211yesmaximal, characteristic, complemented
25#23773622C211yesmaximal, characteristic, complemented
26#23773549C211yesmaximal, characteristic, complemented
27#23772923C211yesmaximal, characteristic, complemented
28#23772918C211yesmaximal, characteristic, complemented
29#23772891C211yesmaximal, characteristic, complemented
30#23772566C211yesmaximal, characteristic, complemented
31C79×#3266C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic, complemented
33C2×#14579192C2211yescharacteristic, complemented
34C2×#14579188C2211yescharacteristic
35C22×#11929611C2211yescharacteristic, complemented
36#19099310—21no—
37#19099306—21no—
38#19099296C2211yescharacteristic
39#19099295C2211yescharacteristic
40Q8×Dic158C2211yescharacteristic, complemented
41#19099287—21no—
42#19099287C2211yescharacteristic, complemented
43#19099284—21no—
44#19099284—21no—
45#19099284C2211yescharacteristic, complemented
46#19099284C2211yescharacteristic, complemented
47#19099278—21no—
48#19099278C2211yescharacteristic, complemented
49#19099224C2211yescharacteristic, complemented
50#19099224C2211yescharacteristic, complemented
51#19099223C2211yescharacteristic
52#19099220C2211yescharacteristic
53#19099210—21no—
54#19099209C2211yescharacteristic
55#19099203—21no—
56#19099197C2211yescharacteristic
57D4×C22⋊D79C2211yescharacteristic
58#19099186—21no—
59#19099186—21no—
60#19099186C2211yescharacteristic
61#19099186C2211yescharacteristic, complemented
62#19099186C2211yescharacteristic, complemented
63#19099180C2211yescharacteristic
64#19099151—21no—
65#19099149—21no—
66#19099145—21no—
67#19099130C2211yescharacteristic
68#19099127C2211yescharacteristic
69#19099123—21no—
70#19099118—21no—
71#19099118C2211yescharacteristic, complemented
72#19099110C2211yescharacteristic
73#19099095—21no—
74#19099095C2211yescharacteristic
75#124×D79C2211yescharacteristic
76#19099041C2211yescharacteristic, complemented
77#19099041C2211yescharacteristic, complemented
78C4×#11929625C2211yescharacteristic, complemented
79#19098955C2211yescharacteristic, complemented
80#19098949C2211yescharacteristic
81#19098949C2211yescharacteristic
82#19098948C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098924C2211yescharacteristic, complemented
85#19098923C2211yescharacteristic, complemented
86#19098922C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic
89#19098908C2211yescharacteristic
90#19098905C2211yescharacteristic, complemented
91#19098901C2211yescharacteristic, complemented
92#19098890C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic
94#19098886C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic
96#19098857C2211yescharacteristic, complemented
97#19098856C2211yescharacteristic, complemented
98#19098856C2211yescharacteristic, complemented
99#19098856C2211yescharacteristic, complemented
100#19098846C2211yescharacteristic, complemented
101#19098844C2211yescharacteristic, complemented
102#19098843C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098842C2211yescharacteristic, complemented
105#19098841C2211yescharacteristic, complemented
106#19098812C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic, complemented
108#19098811C2211yescharacteristic
109#19098811C2211yescharacteristic, complemented
110#19098809C2211yescharacteristic, complemented
111#19098806C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic, complemented
113#19098802C2211yescharacteristic, complemented
114#19098799C2211yescharacteristic
115#19098797C2211yescharacteristic
116#19098788C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098787C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098787C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098785C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098783C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098781C2211yescharacteristic, complemented
130#19098781C2211yescharacteristic, complemented
131#19098780C2211yescharacteristic, complemented
132#19098779C2211yescharacteristic, complemented
133#19098777C2211yescharacteristic, complemented
134#19098775C2211yescharacteristic, complemented
135#19098765C2211yescharacteristic, complemented
136#19098761C2211yescharacteristic
137#19098761C2211yescharacteristic
138#19098761C2211yescharacteristic
139#19098761C2211yescharacteristic
140#19098761C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098761C2211yescharacteristic, complemented
143#19098757C2211yescharacteristic, complemented
144#19098723C2211yescharacteristic, complemented
145#19098719C2211yescharacteristic, complemented
146#19098717C2211yescharacteristic, complemented
147#19098717C2211yescharacteristic, complemented
148#19098713C2211yescharacteristic, complemented
149#19098712C2211yescharacteristic
150#19098712C2211yescharacteristic
151#19098711C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098708C2211yescharacteristic, complemented
154#19098707C2211yescharacteristic, complemented
155#19098702C2211yescharacteristic
156#19098699C2211yescharacteristic, complemented
157#19098697C2211yescharacteristic, complemented
158#19098692C2211yescharacteristic, complemented
159#19098691C2211yescharacteristic, complemented
160#19098676C2211yescharacteristic, complemented
161#19098673C2211yescharacteristic, complemented
162#19098670C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098666C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098661C2211yescharacteristic, complemented
167Q16×Dic79C2211yescharacteristic, complemented
168#19098655C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098639C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098635C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098618C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098589C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098569C2211yescharacteristic, complemented
184#19098568C2211yescharacteristic, complemented
185#19098566C2211yescharacteristic
186#19098560C2211yescharacteristic, complemented
187#19098559C2211yescharacteristic, complemented
188C2×#137×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190D4×Q8×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#497×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic
194#467×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#461×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#448×C79C2211yescharacteristic
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211#14579193—42no—
212#14579192—42no—
213#14579188—42no—
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929611—42no—
219C2×#11929611C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×D632C2311yescharacteristic
227C2×D632C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C22×C79⋊C8C2311yescharacteristic
234#14579161—21no—
235#14579161C2311yescharacteristic
236#14579160—21no—
237#14579160—21no—
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579160C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579156—21no—
248#14579156—21no—
249#14579156—21no—
250#14579156—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154D411yescharacteristic
255#14579154D411yescharacteristic
256#14579152—21no—
257#14579152D411yescharacteristic
258#14579150—21no—
259#14579150—21no—
260#14579150C2311yescharacteristic
261#14579150C2311yescharacteristic
262#14579150C2311yescharacteristic
263#14579150C2311yescharacteristic
264#14579149C2311yescharacteristic
265#14579148—21no—
266#14579148—21no—
267#14579148D411yescharacteristic
268#14579148C2311yescharacteristic
269#14579148C2311yescharacteristic
270#14579147—21no—
271#14579147—21no—
272#14579147—21no—
273#14579147—21no—
274#14579147—21no—
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579146—21no—
284#14579145—21no—
285#14579144—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579143D411yescharacteristic
292#14579143D411yescharacteristic
293#14579142—21no—
294#14579141—21no—
295#14579141—21no—
296#14579141—21no—
297#14579141—21no—
298#14579141—21no—
299#14579141D411yescharacteristic
300#14579140—21no—
301#14579140C2311yescharacteristic
302#14579139—21no—
303#14579138—21no—
304#14579137—21no—
305#14579137—21no—
306#14579137C2311yescharacteristic
307#14579137C2311yescharacteristic
308#14579136C2311yescharacteristic
309#14579135—21no—
310#14579135—21no—
311#14579135—21no—
312#14579135—21no—
313#14579135C2311yescharacteristic
314#14579135C2311yescharacteristic
315#14579135C2311yescharacteristic
316#14579134—21no—
317#14579134—21no—
318#14579134—21no—
319#14579134—21no—
320#14579133—21no—
321#14579132—21no—
322#14579132—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132D411yescharacteristic
326#14579132C2311yescharacteristic
327#14579131—21no—
328#14579130—21no—
329#14579130—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336Q8×Dic79—21no—
337Q8×Dic79—21no—
338Q8×Dic79—21no—
339Q8×Dic79—21no—
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345Q8×Dic79C2311yescharacteristic
346Q8×Dic79C2311yescharacteristic
347Q8×Dic79C2311yescharacteristic
348C4×Dic158—21no—
349C4×Dic158C2311yescharacteristic
350#14579126—21no—
351#14579126—21no—
352#14579126—21no—
353#14579126C2311yescharacteristic
354C4×D316—21no—
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358#14579123—21no—
359#14579123—21no—
360#14579123C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79C2311yescharacteristic
368C4×C22⋊D79C2311yescharacteristic
369(C22⋊D79)⋊C4—21no—
370#14579120—21no—
371#14579120—21no—
372#14579120—21no—
373#14579120—21no—
374#14579120C2311yescharacteristic
375#14579120C2311yescharacteristic
376#14579120C2311yescharacteristic
377#14579120C2311yescharacteristic
378#14579119—21no—
379#14579119—21no—
380#14579119—21no—
381#14579119—21no—
382#14579119C2311yescharacteristic
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C42×D79—21no—
387C42×D79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#137×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×Q16×C79C2311yescharacteristic
447C2×SD16×C79—42no—
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C4⋊Q8×C79—21no—
457C4⋊Q8×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79—21no—
462C22⋊Q8×C79C2311yescharacteristic
463C22⋊Q8×C79C2311yescharacteristic
464C22⋊Q8×C79C2311yescharacteristic
465#121×C79—21no—
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79C2311yescharacteristic
471C4×D4×C79C2311yescharacteristic
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—22no—
487#11929625—41no—
488#11929624—41no—
489#11929624—41no—
490#11929624—82no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498Q8×D79—41no—
499Q8×D79—41no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—41no—
504C2×D316—41no—
505C2×D316C2411yescharacteristic
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—82no—
521C2×C22⋊D79C2×D411yescharacteristic
522C2×C22⋊D79C2×D411yescharacteristic
523D4×D79—41no—
524D4×D79—41no—
525D4×D79—82no—
526C22×Dic79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2411yescharacteristic
537#11929614—22no—
538#11929614—41no—
539#11929614—41no—
540#11929613—41no—
541#11929611—22no—
542#11929611—22no—
543#11929611—41no—
544#11929611—41no—
545#11929611—41no—
546#11929611—41no—
547#11929611—41no—
548D632—41no—
549D632—41no—
550#11929609—41no—
551#11929609—41no—
552#11929608—41no—
553#11929607—41no—
554#11929607—41no—
555C2×C79⋊C8—41no—
556C2×C79⋊C8C2411yescharacteristic
557C2×C79⋊C8C2411yescharacteristic
558C2×C79⋊C8C2411yescharacteristic
559C2×C79⋊C8C2411yescharacteristic
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79C2×D411yescharacteristic
570C4⋊Dic79C2×D411yescharacteristic
571C4⋊Dic79C2×D411yescharacteristic
572C4⋊Dic79C2×D411yescharacteristic
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79C2×D411yescharacteristic
599C22⋊Dic79C2×D411yescharacteristic
600C22⋊Dic79C2×D411yescharacteristic
601C22⋊Dic79C2×D411yescharacteristic
602C22⋊Dic79C2×D411yescharacteristic
603C22⋊Dic79C2×D411yescharacteristic
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4C2×D411yescharacteristic
626(C2×D79)⋊C4C2×D411yescharacteristic
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C24×C79—21no—
645#41×C79—41no—
646#41×C79—41no—
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79—22no—
650C2×Q8×C79—22no—
651C2×Q8×C79—41no—
652C2×Q8×C79—41no—
653C2×Q8×C79C2411yescharacteristic
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671Q16×C79—22no—
672Q16×C79—41no—
673Q16×C79—41no—
674SD16×C79—22no—
675SD16×C79—22no—
676SD16×C79—41no—
677SD16×C79—41no—
678SD16×C79—41no—
679SD16×C79—41no—
680M16×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79C2×D411yescharacteristic
703C22⋊C4×C79C2×D411yescharacteristic
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—81no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79C22×D411yescharacteristic
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—42no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79C22×D411yescharacteristic
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—21no—
729Q8×C79—21no—
730Q8×C79—42no—
731Q8×C79—42no—
732Q8×C79H(5,𝔽2)12yes—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—41no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—42no—
752C2×C4×C79—42no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—41no—
761C22⋊D79—41no—
762C22⋊D79—42no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—81no—
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787D316—21no—
788D316—21no—
789D316—21no—
790D316—21no—
791D316—21no—
792D316—21no—
793D316—42no—
794D316—42no—
795D316—81no—
796C4×D79—21no—
797C4×D79—21no—
798C4×D79—41no—
799C4×D79—41no—
800C4×D79—42no—
801C4×D79—42no—
802C4×D79—81no—
803C4×D79—81no—
804C4×D79—81no—
805C4×D79—81no—
806C4×D79—81no—
807Dic158—21no—
808Dic158—21no—
809Dic158—41no—
810Dic158—81no—
811Dic158—81no—
812Dic158—81no—
813Dic158—81no—
814Dic158—81no—
815C8×C79—21no—
816C8×C79—21no—
817C8×C79—21no—
818C8×C79—21no—
819C79⋊C8—21no—
820C79⋊C8—21no—
821C79⋊C8—21no—
822C79⋊C8—21no—
823C22×C79—21no—
824C22×C79—21no—
825C22×C79—21no—
826C22×C79—21no—
827C22×C79—21no—
828C22×C79—21no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—162no—
836C22×C79C23×D411yescharacteristic
837C2×D79—21no—
838C2×D79—21no—
839C2×D79—21no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—162no—
850C2×D79—162no—
851C4×C79—21no—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—22no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79—41no—
861C4×C79C2×H(5,𝔽2)11yescharacteristic
862C4×C79#58511yescharacteristic
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—21no—
869Dic79—21no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875#62092—791nomaximal, Sylow
876C2×C79—41no—
877C2×C79—41no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79#348811yescharacteristic
881C2×C79#358511yescharacteristic
882C2×C79#358611yescharacteristic
883D79—41no—
884D79—81no—
885D79—81no—
886D79—81no—
887#3558—791no—
888#3518—791no—
889#3401—791no—
890#3401—791no—
891#3375—791no—
892#3375—791no—
893#3324—791no—
894#3324—791no—
895#3319—791no—
896#3319—791no—
897#3313—791no—
898#3313—791no—
899#3277—791no—
900#3277—791no—
901#3266—791no—
902#3266D7911yescharacteristic, complemented
903#3265—791no—
904#3265—791no—
905#3262—791no—
906#3262—791no—
907#3254—791no—
908#3224—791no—
909#3224—791no—
910#3215—791no—
911#3121—791no—
912#3121—791no—
913#3115—791no—
914#3043—791no—
915#3043—791no—
916#3040—791no—
917#2995—791no—
918C79#6209211yescharacteristic, complemented, Sylow
919C2×#137—791no—
920C2×#137—791no—
921C2×#137C2×D7911yescharacteristic, complemented
922C2×AGL(1,ℤ/8)—791no—
923C22×SD16—791no—
924C22×SD16C2×D7911yescharacteristic, complemented
925#562—1581no—
926H(3,𝔽4)—1581no—
927#559—791no—
928#559—791no—
929Q82—791no—
930#556—791no—
931#556—791no—
932#556—791no—
933#556—1581no—
934#556—1581no—
935#556—1581no—
936#555—791no—
937#555—1581no—
938D4×Q8C2×D7911yescharacteristic, complemented
939#548—791no—
940#548—791no—
941#548—791no—
942#548—791no—
943#546—791no—
944#546—1581no—
945#546—1581no—
946#546C2×D7911yescharacteristic
947D42—791no—
948D42—791no—
949#542—791no—
950#542—791no—
951#542—791no—
952#542—791no—
953#542—1581no—
954#542—1581no—
955#538—1581no—
956#538—1581no—
957#538—1581no—
958#535—791no—
959#535—791no—
960#534—1581no—
961#533—791no—
962#533—1581no—
963#532—791no—
964#529—791no—
965#529—1581no—
966C2×#124—791no—
967#519—791no—
968#519—791no—
969C4×#41—791no—
970#497—791no—
971#497C2×D7911yescharacteristic, complemented
972#496—791no—
973#496—791no—
974#495—791no—
975#495—791no—
976#489—791no—
977#489—791no—
978#489—791no—
979#489—791no—
980#486—791no—
981#486—791no—
982#485—791no—
983#485—791no—
984#482—791no—
985#482—791no—
986#482—791no—
987#482—791no—
988#477—791no—
989#477—791no—
990#477—791no—
991#477—791no—
992#475—791no—
993#474—791no—
994#474—791no—
995#474—791no—
996#474—791no—
997#474—791no—
998#468—791no—
999#468—791no—
1000#468—791no—
1001#468—791no—
1002#468—791no—
1003#468—791no—
1004#468—791no—
1005#468C2×D7911yescharacteristic
1006#467—791no—
1007#467C2×D7911yescharacteristic, complemented
1008#466—791no—
1009#466—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#464—791no—
1022#464—791no—
1023#464C2×D7911yescharacteristic, complemented
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#461—791no—
1031#461C2×D7911yescharacteristic, complemented
1032#460—791no—
1033#460—791no—
1034#460—791no—
1035#460—791no—
1036#460—791no—
1037#460—791no—
1038#460—791no—
1039#459—791no—
1040#452—791no—
1041#452C2×D7911yescharacteristic, complemented
1042#451—791no—
1043#451—791no—
1044#451—791no—
1045#451C2×D7911yescharacteristic, complemented
1046#450—791no—
1047#450—791no—
1048#450—791no—
1049#450C2×D7911yescharacteristic, complemented
1050#449—791no—
1051#449—791no—
1052#449—791no—
1053#449—791no—
1054#448—791no—
1055#448C2×D7911yescharacteristic
1056#447—791no—
1057#447—791no—
1058#446—791no—
1059#446—791no—
1060#442—791no—
1061#442—791no—
1062#441—791no—
1063#441—791no—
1064#440—791no—
1065#440—791no—
1066#440—791no—
1067#440C2×D7911yescharacteristic, complemented
1068C4×Q16—791no—
1069C4×Q16—791no—
1070C4×SD16—791no—
1071C4×SD16—791no—
1072#436—791no—
1073#436—791no—
1074#435—791no—
1075#435—791no—
1076#435—791no—
1077#435C2×D7911yescharacteristic, complemented
1078#433—791no—
1079#433—791no—
1080#432—791no—
1081#424—791no—
1082#424—791no—
1083#423—791no—
1084#419—791no—
1085#418—791no—
1086#418—791no—
1087#418—791no—
1088#416—791no—
1089#416—791no—
1090C2×#41—791no—
1091C2×#41—791no—
1092C2×#41—1581no—
1093C2×#41C22×D7911yescharacteristic
1094C22×Q8—791no—
1095C22×Q8C22×D7911yescharacteristic
1096C22×Q8C22×D7911yescharacteristic
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4—1581no—
1101C22×D4C22×D7911yescharacteristic
1102#137—42no—
1103#137—3162no—
1104#137—3162no—
1105AGL(1,ℤ/8)—3162no—
1106C2×Q16—791no—
1107C2×Q16—791no—
1108C2×Q16—791no—
1109C2×Q16C22×D7911yescharacteristic
1110C2×Q16C22×D7911yescharacteristic
1111C2×Q16C22×D7911yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—3162no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×SD16C22×D7911yescharacteristic
1125C2×SD16C22×D7911yescharacteristic
1126C2×SD16C22×D7911yescharacteristic
1127C2×SD16C22×D7911yescharacteristic
1128C2×D8—791no—
1129C2×D8—791no—
1130C2×D8—791no—
1131C2×D8—791no—
1132C2×M16—791no—
1133C2×M16—791no—
1134C2×M16—791no—
1135C2×M16C22×D7911yescharacteristic
1136C22×C8—791no—
1137C22×C8C22×D7911yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—791no—
1140C4⋊Q8—791no—
1141C4⋊Q8—791no—
1142C4⋊Q8—791no—
1143C4⋊Q8—1581no—
1144C4⋊Q8—1581no—
1145C4⋊Q8—1581no—
1146C4⋊Q8C22×D7911yescharacteristic
1147#127—791no—
1148#127—791no—
1149#127—791no—
1150#126—791no—
1151#126—791no—
1152#126—1581no—
1153#126—1581no—
1154#126—1581no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#125—791no—
1163#125—1581no—
1164#124—791no—
1165#124—791no—
1166#124—791no—
1167#124—791no—
1168#124—791no—
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—1581no—
1173#124—1581no—
1174#124—1581no—
1175#124—1581no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124C22×D7911yescharacteristic
1190#123—21no—
1191#123—791no—
1192#123—791no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
1207C22⋊Q8—791no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8C22×D7911yescharacteristic
1219C22⋊Q8C22×D7911yescharacteristic
1220C22⋊Q8C22×D7911yescharacteristic
1221#121—21no—
1222#121—791no—
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121C22×D7911yescharacteristic
1242#120—21no—
1243#120—1581no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251#120—1581no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8—791no—
1258C4×Q8—791no—
1259C4×Q8—791no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8—1581no—
1266C4×Q8—1581no—
1267C4×Q8—1581no—
1268C4×Q8—1581no—
1269C4×Q8—1581no—
1270C4×Q8C22×D7911yescharacteristic
1271C4×D4—21no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4C22×D7911yescharacteristic
1289C4×D4C22×D7911yescharacteristic
1290#117—791no—
1291#117—791no—
1292#117—791no—
1293#117—791no—
1294#117—791no—
1295#117—1581no—
1296#117—1581no—
1297#117—1581no—
1298#117—1581no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—1581no—
1305C2×C22⋊C4—1581no—
1306C2×C22⋊C4—1581no—
1307C2×C42—791no—
1308C2×C42—1581no—
1309#107—791no—
1310#107—791no—
1311#107—791no—
1312#107—791no—
1313#107—791no—
1314#107C22×D7911yescharacteristic
1315#106—791no—
1316#106—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8—791no—
1320C4⋊C8—791no—
1321C4⋊C8—791no—
1322C4⋊C8—791no—
1323C4⋊C8—791no—
1324C4⋊C8—791no—
1325C4⋊C8—791no—
1326C4⋊C8C22×D7911yescharacteristic
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103—791no—
1334#103—791no—
1335#103—791no—
1336#103—791no—
1337#103C22×D7911yescharacteristic
1338#103C22×D7911yescharacteristic
1339#103C22×D7911yescharacteristic
1340#103C22×D7911yescharacteristic
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102—791no—
1347#102—791no—
1348#102—791no—
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102C22×D7911yescharacteristic
1358#102C22×D7911yescharacteristic
1359C22⋊C8—791no—
1360C22⋊C8—791no—
1361C22⋊C8—791no—
1362C22⋊C8—791no—
1363C22⋊C8C22×D7911yescharacteristic
1364C22⋊C8C22×D7911yescharacteristic
1365#97—791no—
1366#97—791no—
1367#97—791no—
1368#97C22×D7911yescharacteristic
1369C4×C8—791no—
1370C4×C8—791no—
1371C24—21no—
1372C24—1581no—
1373C24—1581no—
1374#41—41no—
1375#41—41no—
1376#41—3161no—
1377#41—3161no—
1378#41—3161no—
1379#41—6322no—
1380#41—1582no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—3161no—
1388C2×Q8—3161no—
1389C2×Q8—791no—
1390C2×Q8—791no—
1391C2×Q8—1581no—
1392C2×Q8—1581no—
1393C2×Q8—1581no—
1394C2×Q8—1581no—
1395C2×Q8—1581no—
1396C2×Q8C23×D7911yescharacteristic
1397C2×Q8C23×D7911yescharacteristic
1398C2×Q8C23×D7911yescharacteristic
1399C2×Q8C23×D7911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—3161no—
1406C2×D4—3161no—
1407C2×D4—3161no—
1408C2×D4—3161no—
1409C2×D4—791no—
1410C2×D4—791no—
1411C2×D4—791no—
1412C2×D4—791no—
1413C2×D4—791no—
1414C2×D4—6322no—
1415C2×D4—6322no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4D4×D7911yescharacteristic
1432C2×D4C23×D7911yescharacteristic
1433C2×D4C23×D7911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—791no—
1439C22×C4—791no—
1440C22×C4—791no—
1441C22×C4—1581no—
1442C22×C4—1581no—
1443C22×C4—1581no—
1444C22×C4—1581no—
1445C22×C4—1581no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4C23×D7911yescharacteristic
1450C22×C4C23×D7911yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—41no—
1454Q16—3161no—
1455Q16—3161no—
1456Q16—1582no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—3161no—
1464SD16—3161no—
1465SD16—3161no—
1466SD16—3161no—
1467SD16—3161no—
1468SD16—3161no—
1469SD16—1582no—
1470SD16—1582no—
1471D8—3161no—
1472D8—3161no—
1473D8—3161no—
1474D8—3161no—
1475M16—41no—
1476M16—3161no—
1477M16—3161no—
1478M16—3161no—
1479C2×C8—41no—
1480C2×C8—3161no—
1481C2×C8—791no—
1482C2×C8—791no—
1483C2×C8—791no—
1484C2×C8—791no—
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C2×C8C23×D7911yescharacteristic
1488C2×C8C23×D7911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—791no—
1496C4⋊C4—791no—
1497C4⋊C4—791no—
1498C4⋊C4—791no—
1499C4⋊C4—791no—
1500C4⋊C4—791no—
1501C4⋊C4—791no—
1502C4⋊C4—791no—
1503C4⋊C4—791no—
1504C4⋊C4—791no—
1505C4⋊C4—791no—
1506C4⋊C4—791no—
1507C4⋊C4—791no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4D4×D7911yescharacteristic
1525C4⋊C4C23×D7911yescharacteristic
1526C4⋊C4C23×D7911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4D4×D7911yescharacteristic
1573C22⋊C4D4×D7911yescharacteristic
1574C42—21no—
1575C42—791no—
1576C42—791no—
1577C42—791no—
1578C42—791no—
1579C42—791no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42—1581no—
1585C42—1581no—
1586C42—1581no—
1587C42—1581no—
1588C42—1581no—
1589C42—1581no—
1590C42—1581no—
1591C42—1581no—
1592C42C23×D7911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—81no—
1596C23—81no—
1597C23—81no—
1598C23—3162no—
1599C23—791no—
1600C23—6321no—
1601C23—6321no—
1602C23—6321no—
1603C23—6321no—
1604C23—6321no—
1605C23—1581no—
1606C23—1581no—
1607C23—1581no—
1608C23C2×D4×D7911yescharacteristic
1609C23C2×D4×D7911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—42no—
1618Q8—42no—
1619Q8—3161no—
1620Q8—6321no—
1621Q8—6321no—
1622Q8—6321no—
1623Q8—6321no—
1624Q8—6321no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8#1457920612yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—3162no—
1637D4—3162no—
1638D4—3162no—
1639D4—3161no—
1640D4—3161no—
1641D4—6321no—
1642D4—6321no—
1643D4—6321no—
1644D4—6321no—
1645D4—6321no—
1646D4—6321no—
1647D4—6321no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—1581no—
1654D4—1581no—
1655D4—1581no—
1656D4—1581no—
1657D4—1581no—
1658D4—1581no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—3162no—
1674C2×C4—3162no—
1675C2×C4—3161no—
1676C2×C4—3161no—
1677C2×C4—791no—
1678C2×C4—791no—
1679C2×C4—791no—
1680C2×C4—791no—
1681C2×C4—791no—
1682C2×C4—791no—
1683C2×C4—791no—
1684C2×C4—6321no—
1685C2×C4—6321no—
1686C2×C4—6321no—
1687C2×C4—6321no—
1688C2×C4—6321no—
1689C2×C4—6321no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C2×D4×D7911yescharacteristic
1699C2×C4C2×D4×D7911yescharacteristic
1700C2×C4C2×D4×D7911yescharacteristic
1701C2×C4C24×D7911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1581no—
1707C8—1581no—
1708C8—1581no—
1709C8—1581no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—3161no—
1724C22—3161no—
1725C22—3161no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—3161no—
1730C22—3161no—
1731C22—3161no—
1732C22—1581no—
1733C22—1581no—
1734C22—1581no—
1735C22—12642no—
1736C22—12642no—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—3161no—
1753C4—1581no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4C2×#1457920611yescharacteristic
1761C4#1909939811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—3161no—
1767C2—6321no—
1768C2—6321no—
1769C2—6321no—
1770C2#2377706011yescharacteristic
1771C2#2377817811yescharacteristic
1772C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3266C2
socleC22×C79C23×D4
hypercenter#3266D79
hypocenterC79#62092
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #23777909C2semidirect
2. #23777412C2semidirect
3. #23776473C2semidirect
4. #23776465C2semidirect
5. #23776215C2semidirect
6. #23776209C2semidirect
7. #23775626C2semidirect
8. #23775624C2semidirect
9. #23775558C2semidirect
10. #23775556C2semidirect
11. #23775472C2semidirect
12. #23775470C2semidirect
13. #23775057C2semidirect
14. #23775051C2semidirect
15. #23774911C2semidirect
16. #23774895C2semidirect
17. #23774888C2semidirect
18. #23774862C2semidirect
19. #23774857C2semidirect
20. #23774784C2semidirect
21. #23774500C2semidirect
22. #23774498C2semidirect
23. #23774398C2semidirect
24. #23773630C2semidirect
25. #23773622C2semidirect
26. #23773549C2semidirect
27. #23772923C2semidirect
28. #23772918C2semidirect
29. #23772891C2semidirect
30. #23772566C2semidirect
31. C79×#3266C2semidirect
32. C2×#14579193C22semidirect
33. C2×#14579192C22semidirect
35. C22×#11929611C22semidirect
40. Q8×Dic158C22semidirect
42. #19099287C22semidirect
45. #19099284C22semidirect
46. #19099284C22semidirect
48. #19099278C22semidirect
49. #19099224C22semidirect
50. #19099224C22semidirect
61. #19099186C22semidirect
62. #19099186C22semidirect
71. #19099118C22semidirect
76. #19099041C22semidirect
77. #19099041C22semidirect
78. C4×#11929625C22semidirect
79. #19098955C22semidirect
82. #19098948C22semidirect
83. #19098944C22semidirect
84. #19098924C22semidirect
85. #19098923C22semidirect
86. #19098922C22semidirect
87. #19098921C22semidirect
90. #19098905C22semidirect
91. #19098901C22semidirect
92. #19098890C22semidirect
94. #19098886C22semidirect
96. #19098857C22semidirect
97. #19098856C22semidirect
98. #19098856C22semidirect
99. #19098856C22semidirect
100. #19098846C22semidirect
101. #19098844C22semidirect
102. #19098843C22semidirect
103. #19098842C22semidirect
104. #19098842C22semidirect
105. #19098841C22semidirect
106. #19098812C22semidirect
107. #19098812C22semidirect
109. #19098811C22semidirect
110. #19098809C22semidirect
111. #19098806C22semidirect
112. #19098806C22semidirect
113. #19098802C22semidirect
116. #19098788C22semidirect
117. #19098787C22semidirect
118. #19098787C22semidirect
119. #19098787C22semidirect
120. #19098787C22semidirect
121. #19098787C22semidirect
122. #19098787C22semidirect
123. #19098785C22semidirect
124. #19098783C22semidirect
125. #19098783C22semidirect
126. #19098783C22semidirect
127. #19098783C22semidirect
128. #19098783C22semidirect
129. #19098781C22semidirect
130. #19098781C22semidirect
131. #19098780C22semidirect
132. #19098779C22semidirect
133. #19098777C22semidirect
134. #19098775C22semidirect
135. #19098765C22semidirect
140. #19098761C22semidirect
141. #19098761C22semidirect
142. #19098761C22semidirect
143. #19098757C22semidirect
144. #19098723C22semidirect
145. #19098719C22semidirect
146. #19098717C22semidirect
147. #19098717C22semidirect
148. #19098713C22semidirect
151. #19098711C22semidirect
152. #19098710C22semidirect
153. #19098708C22semidirect
154. #19098707C22semidirect
156. #19098699C22semidirect
157. #19098697C22semidirect
158. #19098692C22semidirect
159. #19098691C22semidirect
160. #19098676C22semidirect
161. #19098673C22semidirect
162. #19098670C22semidirect
163. #19098667C22semidirect
164. #19098666C22semidirect
165. #19098664C22semidirect
166. #19098661C22semidirect
167. Q16×Dic79C22semidirect
168. #19098655C22semidirect
169. SD16×Dic79C22semidirect
170. #19098648C22semidirect
171. #19098639C22semidirect
172. #19098638C22semidirect
173. #19098635C22semidirect
174. #19098634C22semidirect
175. #19098631C22semidirect
176. #19098621C22semidirect
177. #19098621C22semidirect
178. #19098618C22semidirect
179. #19098591C22semidirect
180. #19098589C22semidirect
181. #19098585C22semidirect
182. #19098570C22semidirect
183. #19098569C22semidirect
184. #19098568C22semidirect
186. #19098560C22semidirect
187. #19098559C22semidirect
188. C2×#137×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. D4×Q8×C79C22semidirect
192. #497×C79C22semidirect
194. #467×C79C22semidirect
195. #464×C79C22semidirect
196. #461×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #450×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
902. #3266D79semidirect
918. C79#62092semidirect
921. C2×#137C2×D79semidirect
924. C22×SD16C2×D79semidirect
938. D4×Q8C2×D79semidirect
971. #497C2×D79semidirect
1007. #467C2×D79semidirect
1023. #464C2×D79semidirect
1031. #461C2×D79semidirect
1041. #452C2×D79semidirect
1045. #451C2×D79semidirect
1049. #450C2×D79semidirect
1067. #440C2×D79semidirect
1077. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779092
#237774122
#237764732
#237764652
#237762152
#237762092
#237756262
#237756242
#237755582
#237755562
#237754722
#237754702
#237750572
#237750512
#237749112
#237748952
#237748882
#237748622
#237748572
#237747842
#237745002
#237744982
#237743982
#237736302
#237736222
#237735492
#237729232
#237729182
#237728912
#237725662
C79×#32662
#6209279