Finite Group Databasebeta

← #35181830

Subgroups — #35181830

Order 20224.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777917C211yesmaximal, characteristic, complemented
2#23777436C211yesmaximal, characteristic, complemented
3#23776472C211yesmaximal, characteristic, complemented
4#23776469C211yesmaximal, characteristic, complemented
5#23776190C211yesmaximal, characteristic, complemented
6#23776187C211yesmaximal, characteristic, complemented
7#23775515C211yesmaximal, characteristic, complemented
8#23775511C211yesmaximal, characteristic, complemented
9#23775367C211yesmaximal, characteristic, complemented
10#23775354C211yesmaximal, characteristic, complemented
11#23775225C211yesmaximal, characteristic, complemented
12#23775219C211yesmaximal, characteristic, complemented
13#23775107C211yesmaximal, characteristic, complemented
14#23774928C211yesmaximal, characteristic, complemented
15#23774925C211yesmaximal, characteristic, complemented
16#23774881C211yesmaximal, characteristic, complemented
17#23774873C211yesmaximal, characteristic, complemented
18#23774868C211yesmaximal, characteristic, complemented
19#23774864C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774492C211yesmaximal, characteristic, complemented
22#23774487C211yesmaximal, characteristic, complemented
23#23774402C211yesmaximal, characteristic, complemented
24#23773673C211yesmaximal, characteristic, complemented
25#23773670C211yesmaximal, characteristic, complemented
26#23773486C211yesmaximal, characteristic, complemented
27#23772940C211yesmaximal, characteristic, complemented
28#23772937C211yesmaximal, characteristic, complemented
29C2×#19098780C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31C79×#3282C211yesmaximal, characteristic, complemented
32C2×#14579186C2211yescharacteristic, complemented
33C2×#14579185C2211yescharacteristic, complemented
34C2×#14579182C2211yescharacteristic, complemented
35C22×#11929609C2211yescharacteristic
36#19099309—21no—
37#19099305—21no—
38#19099298C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099282C2211yescharacteristic, complemented
41#19099271C2211yescharacteristic, complemented
42#19099270C2211yescharacteristic, complemented
43#19099250—21no—
44#19099244—21no—
45#19099239—21no—
46D4×Dic158C2211yescharacteristic, complemented
47#19099224C2211yescharacteristic
48#19099219—21no—
49#19099213C2211yescharacteristic, complemented
50#19099212C2211yescharacteristic, complemented
51#19099208—21no—
52#19099207C2211yescharacteristic, complemented
53#19099204C2211yescharacteristic, complemented
54#19099202—21no—
55#19099201C2211yescharacteristic, complemented
56D4×D316C2211yescharacteristic
57#19099197C2211yescharacteristic
58#19099186C2211yescharacteristic, complemented
59#19099185C2211yescharacteristic, complemented
60#19099182C2211yescharacteristic, complemented
61#19099180C2211yescharacteristic, complemented
62#19099158—21no—
63#19099157—21no—
64#19099153—21no—
65#19099147—21no—
66#19099146—21no—
67#19099131C2211yescharacteristic, complemented
68#19099127C2211yescharacteristic, complemented
69#19099121—21no—
70#19099115C2211yescharacteristic, complemented
71#19099108C2211yescharacteristic
72#19099093C2211yescharacteristic
73C2×#14579150C2211yescharacteristic
74#19099069—21no—
75C2×#14579138—21no—
76#19099046C2211yescharacteristic, complemented
77#19099042C2211yescharacteristic, complemented
78C2×D4×Dic79C2211yescharacteristic, complemented
79#19098956C2211yescharacteristic, complemented
80#19098956C2211yescharacteristic, complemented
81#19098953C2211yescharacteristic
82#19098951C2211yescharacteristic
83#19098944C2211yescharacteristic, complemented
84#19098924C2211yescharacteristic, complemented
85#19098924C2211yescharacteristic, complemented
86#19098924C2211yescharacteristic, complemented
87#19098922C2211yescharacteristic, complemented
88#19098910C2211yescharacteristic, complemented
89#19098908C2211yescharacteristic, complemented
90#19098892C2211yescharacteristic, complemented
91#19098891C2211yescharacteristic, complemented
92#19098883C2211yescharacteristic, complemented
93#19098882C2211yescharacteristic, complemented
94#19098882C2211yescharacteristic, complemented
95#19098879C2211yescharacteristic, complemented
96#19098854C2211yescharacteristic, complemented
97#19098852C2211yescharacteristic, complemented
98#19098852C2211yescharacteristic, complemented
99#19098851C2211yescharacteristic, complemented
100#19098851C2211yescharacteristic, complemented
101#19098851C2211yescharacteristic, complemented
102#19098848C2211yescharacteristic, complemented
103#19098847C2211yescharacteristic, complemented
104#19098846C2211yescharacteristic, complemented
105#19098846C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098818C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic
109#19098814C2211yescharacteristic
110#19098795C2211yescharacteristic, complemented
111#19098794C2211yescharacteristic, complemented
112#19098792C2211yescharacteristic, complemented
113#19098792C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098789C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098787C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098782C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic, complemented
124#19098780C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098780C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098780C2211yescharacteristic, complemented
130#19098780C2211yescharacteristic, complemented
131#19098780C2211yescharacteristic, complemented
132#19098777C2211yescharacteristic, complemented
133#19098775C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098764C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic, complemented
139#19098761C2211yescharacteristic, complemented
140#19098758C2211yescharacteristic
141#19098756C2211yescharacteristic
142#19098756C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic, complemented
145#19098724C2211yescharacteristic, complemented
146#19098722C2211yescharacteristic, complemented
147#19098719C2211yescharacteristic, complemented
148#19098716C2211yescharacteristic
149#19098716C2211yescharacteristic, complemented
150#19098713C2211yescharacteristic
151#19098712C2211yescharacteristic, complemented
152#19098709C2211yescharacteristic
153#19098708C2211yescharacteristic
154#19098707C2211yescharacteristic, complemented
155#19098697C2211yescharacteristic, complemented
156#19098696C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098693C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098672C2211yescharacteristic, complemented
165#19098672C2211yescharacteristic, complemented
166#19098670C2211yescharacteristic, complemented
167#19098668C2211yescharacteristic, complemented
168C4×#11929613C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic, complemented
182#19098564C2211yescharacteristic, complemented
183#19098563C2211yescharacteristic, complemented
184C2×#14579085C2211yescharacteristic, complemented
185C2×#14579083C2211yescharacteristic
186C2×#14579083C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic
191#546×C79C2211yescharacteristic, complemented
192#495×C79C2211yescharacteristic, complemented
193#465×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C22×Dic158—21no—
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C2×D4×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213C23×Dic79—21no—
214#14579186—42no—
215#14579185—42no—
216#14579182—42no—
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929609—42no—
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929608C2311yescharacteristic
234C2×#11929607C2311yescharacteristic
235C22×C79⋊C8C2311yescharacteristic
236C2×C8×D79C2311yescharacteristic
237#14579161C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579160C2311yescharacteristic
241#14579159C2311yescharacteristic
242#14579158C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579157C2311yescharacteristic
245#14579156—21no—
246#14579156D411yescharacteristic
247#14579155—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154D411yescharacteristic
253#14579152—21no—
254#14579151—21no—
255#14579151—21no—
256#14579151D411yescharacteristic
257#14579150—21no—
258#14579150—21no—
259#14579150—21no—
260#14579150C2311yescharacteristic
261#14579150C2311yescharacteristic
262#14579150C2311yescharacteristic
263#14579150C2311yescharacteristic
264#14579150C2311yescharacteristic
265#14579149—21no—
266#14579149—21no—
267#14579148—21no—
268#14579148C2311yescharacteristic
269#14579147—21no—
270#14579147—21no—
271#14579147—21no—
272#14579147—21no—
273#14579147D411yescharacteristic
274#14579146—21no—
275#14579146—21no—
276#14579146—21no—
277#14579146—21no—
278#14579145—21no—
279#14579145—21no—
280#14579145D411yescharacteristic
281#14579144—21no—
282#14579144—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579142—21no—
287#14579142—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142D411yescharacteristic
291#14579141—21no—
292#14579141—21no—
293#14579140—21no—
294#14579140C2311yescharacteristic
295#14579140C2311yescharacteristic
296#14579139—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138D411yescharacteristic
308#14579137—21no—
309#14579137C2311yescharacteristic
310#14579137C2311yescharacteristic
311#14579136—21no—
312#14579136—21no—
313#14579136C2311yescharacteristic
314#14579135—21no—
315#14579135—21no—
316#14579135—21no—
317#14579135C2311yescharacteristic
318#14579135C2311yescharacteristic
319#14579134—21no—
320#14579134—21no—
321#14579134—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579133D411yescharacteristic
327#14579132C2311yescharacteristic
328#14579131—21no—
329#14579131—21no—
330#14579131—21no—
331#14579131—21no—
332#14579131—21no—
333#14579131—21no—
334#14579130—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342C4×Dic158C2311yescharacteristic
343C4×Dic158C2311yescharacteristic
344#14579126—21no—
345#14579126C2311yescharacteristic
346C4×D316—21no—
347C4×D316C2311yescharacteristic
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79—21no—
352D4×Dic79—21no—
353D4×Dic79C2311yescharacteristic
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359#14579123C2311yescharacteristic
360#14579123C2311yescharacteristic
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79C2311yescharacteristic
364C4×C22⋊D79C2311yescharacteristic
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120—21no—
370#14579120C2311yescharacteristic
371#14579118C2311yescharacteristic
372#14579117—21no—
373#14579117—21no—
374#14579117—21no—
375C2×C4⋊Dic79—21no—
376C2×C4⋊Dic79C2311yescharacteristic
377C2×C4⋊Dic79C2311yescharacteristic
378C2×Dic79⋊C4—21no—
379C2×Dic79⋊C4—21no—
380C4⋊C4×D79C2311yescharacteristic
381C2×C22⋊Dic79—21no—
382C2×C22⋊Dic79—21no—
383C2×(C2×D79)⋊C4—21no—
384C2×(C2×D79)⋊C4—21no—
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
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#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
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
437#14579071C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#135×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79—42no—
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#124×C79—21no—
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79C2311yescharacteristic
462C22⋊Q8×C79C2311yescharacteristic
463#121×C79—21no—
464#121×C79—21no—
465#121×C79C2311yescharacteristic
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#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929625—41no—
488#11929625—41no—
489#11929623—22no—
490#11929623—41no—
491#11929623—82no—
492#11929623—82no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—82no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—21no—
505C2×D316—21no—
506C2×D316—41no—
507C2×D316—41no—
508C2×D316—41no—
509C2×D316—41no—
510C2×D316C2411yescharacteristic
511C2×D316C2411yescharacteristic
512C2×D316C2411yescharacteristic
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—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79C2×D411yescharacteristic
523C2×C22⋊D79C2×D411yescharacteristic
524D4×D79—41no—
525D4×D79—41no—
526D4×D79—82no—
527D4×D79—82no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—82no—
538C22×Dic79C2×D411yescharacteristic
539C22×Dic79C2×D411yescharacteristic
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79C2411yescharacteristic
546#11929614—41no—
547#11929614—41no—
548#11929613—41no—
549#11929613—41no—
550#11929613—41no—
551#11929612—41no—
552#11929611—41no—
553#11929611—41no—
554#11929611—41no—
555#11929609—22no—
556#11929609—22no—
557#11929609—22no—
558#11929609—41no—
559#11929609—41no—
560#11929609—41no—
561#11929608—41no—
562#11929607—41no—
563C2×C79⋊C8—41no—
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C8×D79—41no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2×D411yescharacteristic
577C4⋊Dic79C2×D411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636(C2×D79)⋊C4C2×D411yescharacteristic
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C24×C79—21no—
648#41×C79—22no—
649#41×C79—41no—
650#41×C79—41no—
651#41×C79—41no—
652C2×Q8×C79—21no—
653C2×Q8×C79—41no—
654C2×Q8×C79—41no—
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×Q8×C79C2411yescharacteristic
658C2×D4×C79—22no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675Q16×C79—41no—
676Q16×C79—41no—
677SD16×C79—22no—
678SD16×C79—22no—
679SD16×C79—41no—
680SD16×C79—41no—
681SD16×C79—41no—
682D8×C79—22no—
683D8×C79—41no—
684C2×C8×C79—41no—
685C2×C8×C79—41no—
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C2×C8×C79C2411yescharacteristic
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79C2×D411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79C2×D411yescharacteristic
706C22⋊C4×C79C2×D411yescharacteristic
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—42no—
713C23×C79—42no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—42no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79—81no—
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732Q8×C79—21no—
733Q8×C79—21no—
734Q8×C79—21no—
735Q8×C79—21no—
736Q8×C79—81no—
737D4×C79—22no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—21no—
741D4×C79—21no—
742D4×C79—21no—
743D4×C79—42no—
744D4×C79—42no—
745D4×C79—42no—
746D4×C79—81no—
747D4×C79—81no—
748D4×C79H(5,𝔽2)12yes—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—42no—
759C2×C4×C79—81no—
760C2×C4×C79—81no—
761C2×C4×C79—81no—
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C22×D411yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C22⋊D79—22no—
768C22⋊D79—41no—
769C22⋊D79—42no—
770C22⋊D79—42no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C2×Dic79—22no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—41no—
785C2×Dic79—42no—
786C2×Dic79—42no—
787C2×Dic79—42no—
788C2×Dic79—81no—
789C2×Dic79—81no—
790C2×Dic79—81no—
791C2×Dic79—81no—
792C2×Dic79—81no—
793C2×Dic79—81no—
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799C2×Dic79C22×D411yescharacteristic
800C2×Dic79C22×D411yescharacteristic
801D316—21no—
802D316—21no—
803D316—21no—
804D316—21no—
805D316—21no—
806D316—21no—
807D316—81no—
808D316—81no—
809D316—81no—
810D316—81no—
811D316—81no—
812D316—81no—
813C4×D79—21no—
814C4×D79—21no—
815C4×D79—81no—
816C4×D79—81no—
817C4×D79—81no—
818C4×D79—81no—
819C4×D79—81no—
820Dic158—21no—
821Dic158—21no—
822Dic158—41no—
823Dic158—42no—
824Dic158—81no—
825Dic158—81no—
826Dic158—81no—
827C8×C79—21no—
828C8×C79—21no—
829C8×C79—21no—
830C8×C79—21no—
831C79⋊C8—21no—
832C79⋊C8—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—21no—
838C22×C79—22no—
839C22×C79—21no—
840C22×C79—21no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—84no—
850C22×C79#57712yes—
851C22×C79C23×D411yescharacteristic
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—21no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—162no—
865C2×D79—162no—
866C2×D79—162no—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—41no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79C2×H(5,𝔽2)11yescharacteristic
877C4×C79#58511yescharacteristic
878Dic79—21no—
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—21no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79—41no—
890#62018—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—41no—
893C2×C79—42no—
894C2×C79—81no—
895C2×C79—81no—
896C2×C79#348811yescharacteristic
897C2×C79C2×#57711yescharacteristic
898C2×C79#358511yescharacteristic
899D79—41no—
900D79—81no—
901D79—81no—
902D79—81no—
903#3558—791no—
904#3520—791no—
905#3401—791no—
906#3401—791no—
907#3373—791no—
908#3373—791no—
909#3316—791no—
910#3316—791no—
911#3306—791no—
912#3306—791no—
913#3295—791no—
914#3295—791no—
915#3282—791no—
916#3282D7911yescharacteristic, complemented
917#3267—791no—
918#3267—791no—
919#3264—791no—
920#3264—791no—
921#3263—791no—
922#3263—791no—
923#3246—791no—
924#3224—791no—
925#3224—791no—
926#3215—791no—
927#3125—791no—
928#3125—791no—
929#3109—791no—
930#3045—791no—
931#3045—791no—
932C2×#463—791no—
933#2992—791no—
934C79#6201811yescharacteristic, complemented, Sylow
935C2×AGL(1,ℤ/8)—791no—
936C2×AGL(1,ℤ/8)—791no—
937C2×#135—791no—
938C2×#135C2×D7911yescharacteristic, complemented
939C22×SD16C2×D7911yescharacteristic, complemented
940C22×D8—791no—
941#562—1581no—
942H(3,𝔽4)—1581no—
943#559—791no—
944#559—791no—
945#556—791no—
946#554—791no—
947#554—791no—
948#552—1581no—
949#551—1581no—
950#551—1581no—
951D4×Q8—791no—
952#548—791no—
953#548—1581no—
954#548C2×D7911yescharacteristic
955#547—791no—
956#547—791no—
957#546—791no—
958#546—791no—
959#546—791no—
960#546—1581no—
961#546—1581no—
962#546C2×D7911yescharacteristic, complemented
963D42—791no—
964D42—791no—
965#542—791no—
966#542—791no—
967#542—791no—
968#542—791no—
969#539—1581no—
970#539—1581no—
971#538—1581no—
972#538—1581no—
973#538—1581no—
974#535—791no—
975#535—791no—
976#534—1581no—
977#533—791no—
978#532—791no—
979#529—791no—
980C2×#124—791no—
981#525—1581no—
982C2×C22⋊Q8—1581no—
983#520—791no—
984#520—791no—
985C2×C4×D4—791no—
986#497—791no—
987#497—791no—
988#496—791no—
989#496—791no—
990#495—791no—
991#495C2×D7911yescharacteristic, complemented
992#489—791no—
993#489—791no—
994#489—791no—
995#489—791no—
996#486—791no—
997#486—791no—
998#483—791no—
999#483—791no—
1000#481—791no—
1001#481—791no—
1002#481—791no—
1003#481—791no—
1004#476—791no—
1005#476—791no—
1006#476—791no—
1007#476—791no—
1008#476—791no—
1009#476—791no—
1010#475—791no—
1011#475—791no—
1012#475—791no—
1013#475—791no—
1014#470—791no—
1015#470—791no—
1016#469—791no—
1017#469—791no—
1018#465—791no—
1019#465—791no—
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465C2×D7911yescharacteristic, complemented
1025#465C2×D7911yescharacteristic, complemented
1026#464—791no—
1027#464—791no—
1028#464—791no—
1029#464—791no—
1030#464—791no—
1031#464—791no—
1032#464—791no—
1033#464C2×D7911yescharacteristic, complemented
1034#463—791no—
1035#463—791no—
1036#463—791no—
1037#463—791no—
1038#463—791no—
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463—791no—
1043#463—791no—
1044#463—791no—
1045#463C2×D7911yescharacteristic, complemented
1046#461—791no—
1047#461—791no—
1048#460—791no—
1049#460—791no—
1050#460—791no—
1051#460—791no—
1052#459—791no—
1053#459—791no—
1054#459—791no—
1055#459—791no—
1056#452—791no—
1057#452—791no—
1058#452—791no—
1059#452C2×D7911yescharacteristic, complemented
1060#451—791no—
1061#451C2×D7911yescharacteristic, complemented
1062#450—791no—
1063#450—791no—
1064#450—791no—
1065#450—791no—
1066#449—791no—
1067#449—791no—
1068#449—791no—
1069#449C2×D7911yescharacteristic, complemented
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447C2×D7911yescharacteristic, complemented
1074#446—791no—
1075#446—791no—
1076#442—791no—
1077#442—791no—
1078#442—791no—
1079#442—791no—
1080#442—791no—
1081#442—791no—
1082#441—791no—
1083#441—791no—
1084C4×SD16—791no—
1085C4×SD16—791no—
1086C4×SD16—791no—
1087C4×SD16C2×D7911yescharacteristic, complemented
1088#435—791no—
1089#435—791no—
1090#435—791no—
1091#435—791no—
1092C8×D4—791no—
1093C8×D4C2×D7911yescharacteristic, complemented
1094#433—791no—
1095#433—791no—
1096#432—791no—
1097#424—791no—
1098#424—791no—
1099C2×C4⋊C8—791no—
1100#417—791no—
1101#417—791no—
1102C2×#103—791no—
1103C2×#102—791no—
1104C2×#102—791no—
1105C2×#102—791no—
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—1581no—
1109C2×#41—1581no—
1110C2×#41C22×D7911yescharacteristic
1111C2×#41C22×D7911yescharacteristic
1112C22×Q8—1581no—
1113C22×Q8C22×D7911yescharacteristic
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C22×D4—1581no—
1118C22×D4—1581no—
1119C22×D4C22×D7911yescharacteristic
1120C23×C4—1581no—
1121AGL(1,ℤ/8)—3162no—
1122AGL(1,ℤ/8)—3162no—
1123#135—42no—
1124#135—3162no—
1125C2×Q16—791no—
1126C2×Q16—791no—
1127C2×Q16C22×D7911yescharacteristic
1128C2×Q16C22×D7911yescharacteristic
1129C2×SD16—42no—
1130C2×SD16—791no—
1131C2×SD16—791no—
1132C2×SD16—791no—
1133C2×SD16—791no—
1134C2×SD16—791no—
1135C2×SD16—791no—
1136C2×SD16—791no—
1137C2×SD16C22×D7911yescharacteristic
1138C2×SD16C22×D7911yescharacteristic
1139C2×SD16C22×D7911yescharacteristic
1140C2×SD16C22×D7911yescharacteristic
1141C2×SD16C22×D7911yescharacteristic
1142C2×D8—3162no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8C22×D7911yescharacteristic
1150C2×D8C22×D7911yescharacteristic
1151C2×M16—791no—
1152C2×M16—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8C22×D7911yescharacteristic
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—791no—
1162#127—791no—
1163#127—791no—
1164#127—791no—
1165#126—791no—
1166#126—791no—
1167#126—1581no—
1168#126—1581no—
1169#126—1581no—
1170#126—1581no—
1171#126—1581no—
1172#126—1581no—
1173#125—791no—
1174#125—1581no—
1175#125—1581no—
1176#125—1581no—
1177#124—21no—
1178#124—791no—
1179#124—791no—
1180#124—791no—
1181#124—791no—
1182#124—791no—
1183#124—791no—
1184#124—791no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124—1581no—
1190#124—1581no—
1191#124—1581no—
1192#124—1581no—
1193#124—1581no—
1194#124—1581no—
1195#124C22×D7911yescharacteristic
1196#124C22×D7911yescharacteristic
1197#123—21no—
1198#123—791no—
1199#123—791no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209#123—1581no—
1210#123—1581no—
1211#123—1581no—
1212#123—1581no—
1213#123—1581no—
1214#123—1581no—
1215C22⋊Q8—21no—
1216C22⋊Q8—791no—
1217C22⋊Q8—791no—
1218C22⋊Q8—791no—
1219C22⋊Q8—791no—
1220C22⋊Q8—791no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8—1581no—
1225C22⋊Q8—1581no—
1226C22⋊Q8—1581no—
1227C22⋊Q8—1581no—
1228C22⋊Q8—1581no—
1229C22⋊Q8—1581no—
1230C22⋊Q8—1581no—
1231C22⋊Q8—1581no—
1232C22⋊Q8—1581no—
1233C22⋊Q8—1581no—
1234C22⋊Q8—1581no—
1235C22⋊Q8—1581no—
1236C22⋊Q8C22×D7911yescharacteristic
1237C22⋊Q8C22×D7911yescharacteristic
1238#121—21no—
1239#121—21no—
1240#121—791no—
1241#121—791no—
1242#121—791no—
1243#121—791no—
1244#121—791no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121—1581no—
1250#121—1581no—
1251#121—1581no—
1252#121—1581no—
1253#121—1581no—
1254#121—1581no—
1255#121—1581no—
1256#121—1581no—
1257#121C22×D7911yescharacteristic
1258#121C22×D7911yescharacteristic
1259#120—21no—
1260#120—1581no—
1261#120—1581no—
1262#120—1581no—
1263#120—1581no—
1264#120—1581no—
1265#120—1581no—
1266#120—1581no—
1267#120—1581no—
1268#120—1581no—
1269#120—1581no—
1270#120—1581no—
1271C4×Q8—791no—
1272C4×Q8—791no—
1273C4×Q8—791no—
1274C4×Q8—791no—
1275C4×Q8—791no—
1276C4×Q8—791no—
1277C4×Q8—1581no—
1278C4×Q8C22×D7911yescharacteristic
1279C4×D4—21no—
1280C4×D4—791no—
1281C4×D4—791no—
1282C4×D4—791no—
1283C4×D4—791no—
1284C4×D4—791no—
1285C4×D4—791no—
1286C4×D4—791no—
1287C4×D4—791no—
1288C4×D4—791no—
1289C4×D4—791no—
1290C4×D4—791no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4—1581no—
1295C4×D4—1581no—
1296C4×D4—1581no—
1297C4×D4—1581no—
1298C4×D4—1581no—
1299C4×D4—1581no—
1300C4×D4—1581no—
1301C4×D4—1581no—
1302C4×D4—1581no—
1303C4×D4C22×D7911yescharacteristic
1304C4×D4C22×D7911yescharacteristic
1305#117—791no—
1306#117—791no—
1307#117—1581no—
1308#117—1581no—
1309#117—1581no—
1310#117—1581no—
1311C2×C4⋊C4—791no—
1312C2×C4⋊C4—791no—
1313C2×C4⋊C4—791no—
1314C2×C4⋊C4—1581no—
1315C2×C4⋊C4—1581no—
1316C2×C4⋊C4—1581no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C22⋊C4—1581no—
1322C2×C22⋊C4—1581no—
1323C2×C22⋊C4—1581no—
1324C2×C42—791no—
1325#106—791no—
1326#106—791no—
1327#106—791no—
1328#106—791no—
1329#106—791no—
1330#106—791no—
1331#106—791no—
1332#106C22×D7911yescharacteristic
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335C4⋊C8—791no—
1336C4⋊C8—791no—
1337C4⋊C8—791no—
1338C4⋊C8—791no—
1339C4⋊C8—791no—
1340C4⋊C8—791no—
1341C4⋊C8—791no—
1342C4⋊C8C22×D7911yescharacteristic
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#103—791no—
1350#103—791no—
1351#103—791no—
1352#103C22×D7911yescharacteristic
1353#103C22×D7911yescharacteristic
1354#103C22×D7911yescharacteristic
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102—791no—
1369#102—791no—
1370#102—791no—
1371#102—791no—
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375C22⋊C8—791no—
1376C22⋊C8—791no—
1377C22⋊C8—791no—
1378C22⋊C8—791no—
1379C22⋊C8C22×D7911yescharacteristic
1380C22⋊C8C22×D7911yescharacteristic
1381#97—791no—
1382#97—791no—
1383#97—791no—
1384#97—791no—
1385C4×C8—791no—
1386C4×C8C22×D7911yescharacteristic
1387C24—21no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—3161no—
1396#41—3161no—
1397#41—3161no—
1398#41—6322no—
1399#41—6322no—
1400#41—1582no—
1401C2×Q8—21no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—6322no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8—1581no—
1410C2×Q8—1581no—
1411C2×Q8C23×D7911yescharacteristic
1412C2×Q8C23×D7911yescharacteristic
1413C2×Q8C23×D7911yescharacteristic
1414C2×D4—22no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—41no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—3161no—
1427C2×D4—791no—
1428C2×D4—791no—
1429C2×D4—791no—
1430C2×D4—791no—
1431C2×D4—791no—
1432C2×D4—6322no—
1433C2×D4—6322no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1581no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4—1581no—
1446C2×D4—1581no—
1447C2×D4—1581no—
1448C2×D4—1581no—
1449C2×D4D4×D7911yescharacteristic
1450C2×D4C23×D7911yescharacteristic
1451C2×D4C23×D7911yescharacteristic
1452C2×D4C23×D7911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—791no—
1460C22×C4—6322no—
1461C22×C4—1581no—
1462C22×C4—1581no—
1463C22×C4—1581no—
1464C22×C4—1581no—
1465C22×C4—1581no—
1466C22×C4—1581no—
1467C22×C4—1581no—
1468C22×C4—1581no—
1469C22×C4—1581no—
1470C22×C4—1581no—
1471C22×C4—1581no—
1472C22×C4—1581no—
1473C22×C4—1581no—
1474C22×C4—1581no—
1475C22×C4C23×D7911yescharacteristic
1476C22×C4C23×D7911yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—3161no—
1480Q16—3161no—
1481SD16—22no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—3161no—
1490SD16—3161no—
1491SD16—3161no—
1492SD16—3161no—
1493D8—22no—
1494D8—41no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—1582no—
1499D8—1582no—
1500D8—1582no—
1501M16—3161no—
1502M16—3161no—
1503C2×C8—41no—
1504C2×C8—41no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—791no—
1519C4⋊C4—791no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
1527C4⋊C4—791no—
1528C4⋊C4—791no—
1529C4⋊C4—791no—
1530C4⋊C4—791no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4—1581no—
1539C4⋊C4—1581no—
1540C4⋊C4—1581no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4—1581no—
1544C4⋊C4—1581no—
1545C4⋊C4—1581no—
1546C4⋊C4—1581no—
1547C4⋊C4—1581no—
1548C4⋊C4—1581no—
1549C4⋊C4D4×D7911yescharacteristic
1550C4⋊C4C23×D7911yescharacteristic
1551C4⋊C4C23×D7911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—791no—
1562C22⋊C4—791no—
1563C22⋊C4—791no—
1564C22⋊C4—791no—
1565C22⋊C4—791no—
1566C22⋊C4—791no—
1567C22⋊C4—791no—
1568C22⋊C4—791no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4D4×D7911yescharacteristic
1599C22⋊C4D4×D7911yescharacteristic
1600C42—21no—
1601C42—791no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—1581no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42—1581no—
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—3162no—
1619C23—791no—
1620C23—6321no—
1621C23—6321no—
1622C23—6321no—
1623C23—6321no—
1624C23—6321no—
1625C23—6321no—
1626C23—6321no—
1627C23—6321no—
1628C23—1581no—
1629C23—1581no—
1630C23—1581no—
1631C23C2×D4×D7911yescharacteristic
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—3161no—
1641Q8—3162no—
1642Q8—6321no—
1643Q8—6321no—
1644Q8—6321no—
1645Q8—1581no—
1646Q8—1581no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—42no—
1656D4—81no—
1657D4—81no—
1658D4—3162no—
1659D4—3162no—
1660D4—3161no—
1661D4—6321no—
1662D4—6321no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—6321no—
1671D4—6321no—
1672D4—6321no—
1673D4—6321no—
1674D4—1582no—
1675D4—1581no—
1676D4—1581no—
1677D4—1581no—
1678D4—1581no—
1679D4—1581no—
1680D4—1581no—
1681D4#1457920612yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—42no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—3162no—
1696C2×C4—3162no—
1697C2×C4—3162no—
1698C2×C4—3161no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—791no—
1706C2×C4—6321no—
1707C2×C4—6321no—
1708C2×C4—6321no—
1709C2×C4—6321no—
1710C2×C4—6321no—
1711C2×C4—6321no—
1712C2×C4—6321no—
1713C2×C4—6321no—
1714C2×C4—6321no—
1715C2×C4—6321no—
1716C2×C4—6321no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1581no—
1722C2×C4—1582no—
1723C2×C4—1581no—
1724C2×C4—1581no—
1725C2×C4C2×D4×D7911yescharacteristic
1726C2×C4C2×D4×D7911yescharacteristic
1727C2×C4C2×D4×D7911yescharacteristic
1728C2×C4C2×D4×D7911yescharacteristic
1729C2×C4C24×D7911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1581no—
1735C8—1581no—
1736C8—1581no—
1737C8—1581no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—84no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—3161no—
1762C22—1581no—
1763C22—1581no—
1764C22—1581no—
1765C22—12642no—
1766C22—12642no—
1767C22—12642no—
1768C22#1909937012yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—3161no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—1581no—
1785C4—1581no—
1786C4—1581no—
1787C4—1581no—
1788C4—1581no—
1789C4—1581no—
1790C4—1581no—
1791C4C2×#1457920611yescharacteristic
1792C4#1909939811yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—3161no—
1799C2—6321no—
1800C2—6321no—
1801C2—6321no—
1802C2#2377706011yescharacteristic
1803C2C2×#1909937011yescharacteristic
1804C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3282C2
socleC22×C79C23×D4
hypercenter#3282D79
hypocenterC79#62018
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #23777917C2semidirect
2. #23777436C2semidirect
3. #23776472C2semidirect
4. #23776469C2semidirect
5. #23776190C2semidirect
6. #23776187C2semidirect
7. #23775515C2semidirect
8. #23775511C2semidirect
9. #23775367C2semidirect
10. #23775354C2semidirect
11. #23775225C2semidirect
12. #23775219C2semidirect
13. #23775107C2semidirect
14. #23774928C2semidirect
15. #23774925C2semidirect
16. #23774881C2semidirect
17. #23774873C2semidirect
18. #23774868C2semidirect
19. #23774864C2semidirect
20. #23774711C2semidirect
21. #23774492C2semidirect
22. #23774487C2semidirect
23. #23774402C2semidirect
24. #23773673C2semidirect
25. #23773670C2semidirect
26. #23773486C2semidirect
27. #23772940C2semidirect
28. #23772937C2semidirect
29. C2×#19098780C2semidirect
30. #23772533C2semidirect
31. C79×#3282C2semidirect
32. C2×#14579186C22semidirect
33. C2×#14579185C22semidirect
34. C2×#14579182C22semidirect
38. #19099298C22semidirect
39. #19099295C22semidirect
40. #19099282C22semidirect
41. #19099271C22semidirect
42. #19099270C22semidirect
46. D4×Dic158C22semidirect
49. #19099213C22semidirect
50. #19099212C22semidirect
52. #19099207C22semidirect
53. #19099204C22semidirect
55. #19099201C22semidirect
58. #19099186C22semidirect
59. #19099185C22semidirect
60. #19099182C22semidirect
61. #19099180C22semidirect
67. #19099131C22semidirect
68. #19099127C22semidirect
70. #19099115C22semidirect
76. #19099046C22semidirect
77. #19099042C22semidirect
78. C2×D4×Dic79C22semidirect
79. #19098956C22semidirect
80. #19098956C22semidirect
83. #19098944C22semidirect
84. #19098924C22semidirect
85. #19098924C22semidirect
86. #19098924C22semidirect
87. #19098922C22semidirect
88. #19098910C22semidirect
89. #19098908C22semidirect
90. #19098892C22semidirect
91. #19098891C22semidirect
92. #19098883C22semidirect
93. #19098882C22semidirect
94. #19098882C22semidirect
95. #19098879C22semidirect
96. #19098854C22semidirect
97. #19098852C22semidirect
98. #19098852C22semidirect
99. #19098851C22semidirect
100. #19098851C22semidirect
101. #19098851C22semidirect
102. #19098848C22semidirect
103. #19098847C22semidirect
104. #19098846C22semidirect
105. #19098846C22semidirect
106. #19098819C22semidirect
107. #19098818C22semidirect
110. #19098795C22semidirect
111. #19098794C22semidirect
112. #19098792C22semidirect
113. #19098792C22semidirect
114. #19098790C22semidirect
115. #19098789C22semidirect
116. #19098788C22semidirect
117. #19098788C22semidirect
118. #19098787C22semidirect
119. #19098787C22semidirect
120. #19098787C22semidirect
121. #19098783C22semidirect
122. #19098782C22semidirect
123. #19098780C22semidirect
124. #19098780C22semidirect
125. #19098780C22semidirect
126. #19098780C22semidirect
127. #19098780C22semidirect
128. #19098780C22semidirect
129. #19098780C22semidirect
130. #19098780C22semidirect
131. #19098780C22semidirect
132. #19098777C22semidirect
133. #19098775C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
136. #19098764C22semidirect
137. #19098762C22semidirect
138. #19098761C22semidirect
139. #19098761C22semidirect
142. #19098756C22semidirect
143. #19098756C22semidirect
144. #19098725C22semidirect
145. #19098724C22semidirect
146. #19098722C22semidirect
147. #19098719C22semidirect
149. #19098716C22semidirect
151. #19098712C22semidirect
154. #19098707C22semidirect
155. #19098697C22semidirect
156. #19098696C22semidirect
157. #19098695C22semidirect
158. #19098693C22semidirect
159. #19098692C22semidirect
160. #19098675C22semidirect
161. #19098675C22semidirect
162. #19098673C22semidirect
163. #19098672C22semidirect
164. #19098672C22semidirect
165. #19098672C22semidirect
166. #19098670C22semidirect
167. #19098668C22semidirect
168. C4×#11929613C22semidirect
169. SD16×Dic79C22semidirect
170. #19098648C22semidirect
171. #19098637C22semidirect
172. #19098635C22semidirect
173. #19098634C22semidirect
174. #19098631C22semidirect
175. C8×C22⋊D79C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
178. #19098617C22semidirect
179. #19098589C22semidirect
180. #19098588C22semidirect
181. C2×Dic79⋊C8C22semidirect
182. #19098564C22semidirect
183. #19098563C22semidirect
184. C2×#14579085C22semidirect
186. C2×#14579083C22semidirect
187. #102×D79C22semidirect
188. C2×#135×C79C22semidirect
189. C22×SD16×C79C22semidirect
191. #546×C79C22semidirect
192. #495×C79C22semidirect
193. #465×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #463×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
916. #3282D79semidirect
934. C79#62018semidirect
938. C2×#135C2×D79semidirect
939. C22×SD16C2×D79semidirect
962. #546C2×D79semidirect
991. #495C2×D79semidirect
1024. #465C2×D79semidirect
1025. #465C2×D79semidirect
1033. #464C2×D79semidirect
1045. #463C2×D79semidirect
1059. #452C2×D79semidirect
1061. #451C2×D79semidirect
1069. #449C2×D79semidirect
1073. #447C2×D79semidirect
1087. C4×SD16C2×D79semidirect
1093. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779172
#237774362
#237764722
#237764692
#237761902
#237761872
#237755152
#237755112
#237753672
#237753542
#237752252
#237752192
#237751072
#237749282
#237749252
#237748812
#237748732
#237748682
#237748642
#237747112
#237744922
#237744872
#237744022
#237736732
#237736702
#237734862
#237729402
#237729372
C2×#190987802
#237725332
C79×#32822
#6201879