Finite Group Databasebeta

← #35183759

Subgroups — #35183759

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#23777918C211yesmaximal, characteristic, complemented
2#23777413C211yesmaximal, characteristic, complemented
3#23776472C211yesmaximal, characteristic, complemented
4#23776461C211yesmaximal, characteristic, complemented
5#23776219C211yesmaximal, characteristic, complemented
6#23776211C211yesmaximal, characteristic, complemented
7#23775630C211yesmaximal, characteristic, complemented
8#23775624C211yesmaximal, characteristic, complemented
9#23775560C211yesmaximal, characteristic, complemented
10#23775549C211yesmaximal, characteristic, complemented
11#23775470C211yesmaximal, characteristic, complemented
12#23775465C211yesmaximal, characteristic, complemented
13#23775055C211yesmaximal, characteristic, complemented
14#23775050C211yesmaximal, characteristic, complemented
15#23774914C211yesmaximal, characteristic, complemented
16#23774908C211yesmaximal, characteristic, complemented
17#23774899C211yesmaximal, characteristic, complemented
18#23774894C211yesmaximal, characteristic, complemented
19#23774858C211yesmaximal, characteristic, complemented
20#23774856C211yesmaximal, characteristic, complemented
21#23774785C211yesmaximal, characteristic, complemented
22#23774491C211yesmaximal, characteristic, complemented
23#23774401C211yesmaximal, characteristic, complemented
24#23773631C211yesmaximal, characteristic, complemented
25#23773626C211yesmaximal, characteristic, complemented
26#23773548C211yesmaximal, characteristic, complemented
27#23772917C211yesmaximal, characteristic, complemented
28#23772916C211yesmaximal, characteristic, complemented
29#23772889C211yesmaximal, characteristic, complemented
30#23772565C211yesmaximal, characteristic, complemented
31C79×#3224C211yesmaximal, characteristic, complemented
32C2×#14579191C2211yescharacteristic, complemented
33C2×#14579190C2211yescharacteristic, complemented
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579185C2211yescharacteristic
36C22×#11929612C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic, complemented
38#19099308—21no—
39#19099306—21no—
40#19099299C2211yescharacteristic
41#19099295C2211yescharacteristic
42#19099293C2211yescharacteristic, complemented
43#19099287C2211yescharacteristic, complemented
44#19099284C2211yescharacteristic, complemented
45#19099282—21no—
46#19099282C2211yescharacteristic, complemented
47#19099280—21no—
48#19099280—21no—
49#19099277C2211yescharacteristic, complemented
50#19099275—21no—
51#19099226C2211yescharacteristic, complemented
52#19099221C2211yescharacteristic
53#19099221C2211yescharacteristic, complemented
54#19099220C2211yescharacteristic
55#19099219C2211yescharacteristic, complemented
56#19099207C2211yescharacteristic
57#19099202—21no—
58#19099201C2211yescharacteristic
59#19099200—21no—
60#19099198C2211yescharacteristic
61D4×C22⋊D79C2211yescharacteristic
62#19099184C2211yescharacteristic
63#19099183—21no—
64#19099182C2211yescharacteristic
65#19099181—21no—
66#19099178C2211yescharacteristic, complemented
67#19099150—21no—
68#19099148—21no—
69#19099145—21no—
70#19099126C2211yescharacteristic
71#19099123—21no—
72#19099117C2211yescharacteristic, complemented
73#19099115—21no—
74#19099111C2211yescharacteristic
75#19099091C2211yescharacteristic
76#19099090—21no—
77#124×D79C2211yescharacteristic
78#19099040C2211yescharacteristic, complemented
79#19099039C2211yescharacteristic, complemented
80C4×#11929623C2211yescharacteristic, complemented
81#19098956C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic
84#19098946C2211yescharacteristic, complemented
85#19098924C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic
89#19098905C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098888C2211yescharacteristic
92#19098886C2211yescharacteristic
93#19098886C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098859C2211yescharacteristic, complemented
96#19098858C2211yescharacteristic, complemented
97#19098856C2211yescharacteristic, complemented
98#19098855C2211yescharacteristic, complemented
99#19098849C2211yescharacteristic, complemented
100#19098843C2211yescharacteristic, complemented
101#19098841C2211yescharacteristic, complemented
102#19098841C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098840C2211yescharacteristic, complemented
105#19098811C2211yescharacteristic
106#19098808C2211yescharacteristic
107#19098808C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic, complemented
110#19098806C2211yescharacteristic, complemented
111#19098806C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic, complemented
113#19098803C2211yescharacteristic, complemented
114#19098802C2211yescharacteristic, complemented
115#19098797C2211yescharacteristic
116#19098796C2211yescharacteristic
117#19098788C2211yescharacteristic, complemented
118#19098786C2211yescharacteristic, complemented
119#19098786C2211yescharacteristic, complemented
120#19098785C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098782C2211yescharacteristic, complemented
126#19098782C2211yescharacteristic, complemented
127#19098782C2211yescharacteristic, complemented
128#19098782C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098780C2211yescharacteristic, complemented
131#19098778C2211yescharacteristic, complemented
132#19098776C2211yescharacteristic, complemented
133#19098776C2211yescharacteristic, complemented
134#19098775C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic
138#19098761C2211yescharacteristic
139#19098760C2211yescharacteristic
140#19098760C2211yescharacteristic
141#19098760C2211yescharacteristic, complemented
142#19098760C2211yescharacteristic, complemented
143#19098726C2211yescharacteristic, complemented
144#19098721C2211yescharacteristic, complemented
145#19098720C2211yescharacteristic, complemented
146#19098717C2211yescharacteristic, complemented
147#19098717C2211yescharacteristic, complemented
148#19098715C2211yescharacteristic
149#19098715C2211yescharacteristic, complemented
150#19098712C2211yescharacteristic
151#19098705C2211yescharacteristic, complemented
152#19098705C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic, complemented
154#19098704C2211yescharacteristic
155#19098700C2211yescharacteristic
156#19098695C2211yescharacteristic, complemented
157#19098693C2211yescharacteristic, complemented
158#19098691C2211yescharacteristic, complemented
159#19098675C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098671C2211yescharacteristic, complemented
162#19098670C2211yescharacteristic, complemented
163#19098665C2211yescharacteristic, complemented
164#19098660C2211yescharacteristic, complemented
165#19098660C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167C4×Dic316C2211yescharacteristic, complemented
168#19098655C2211yescharacteristic, complemented
169C4×#11929613C2211yescharacteristic, complemented
170SD16×Dic79C2211yescharacteristic, complemented
171#19098642C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098637C2211yescharacteristic, complemented
174#19098636C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176#19098631C2211yescharacteristic, complemented
177#19098623C2211yescharacteristic, complemented
178#19098619C2211yescharacteristic, complemented
179#19098590C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098568C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic
185#19098566C2211yescharacteristic, complemented
186#19098559C2211yescharacteristic, complemented
187#19098556C2211yescharacteristic, complemented
188#542×C79C2211yescharacteristic, complemented
189#535×C79C2211yescharacteristic
190#496×C79C2211yescharacteristic
191#495×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic
194#464×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201#447×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×C22⋊D79—21no—
210C2×D4×D79—21no—
211C2×D4×D79C2311yescharacteristic
212C2×D4×D79C2311yescharacteristic
213#14579191—42no—
214#14579190—42no—
215#14579190—42no—
216#14579185—42no—
217C2×Dic316C2311yescharacteristic
218C2×Dic316C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929612—42no—
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929611C2311yescharacteristic
233SD16×D79—42no—
234C2×#11929609C2311yescharacteristic
235C2×#11929608C2311yescharacteristic
236C2×#11929607C2311yescharacteristic
237C2×#11929607C2311yescharacteristic
238C2×#11929607C2311yescharacteristic
239C22×C79⋊C8C2311yescharacteristic
240C2×C8×D79C2311yescharacteristic
241#14579161C2311yescharacteristic
242#14579160—21no—
243#14579160—21no—
244#14579160C2311yescharacteristic
245#14579160C2311yescharacteristic
246#14579159—21no—
247#14579159—21no—
248#14579159C2311yescharacteristic
249#14579157C2311yescharacteristic
250#14579156—21no—
251#14579156—21no—
252#14579156—21no—
253#14579156—21no—
254#14579156D411yescharacteristic
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154D411yescharacteristic
261#14579151—21no—
262#14579151D411yescharacteristic
263#14579150—21no—
264#14579150C2311yescharacteristic
265#14579149C2311yescharacteristic
266#14579148—21no—
267#14579148—21no—
268#14579148—21no—
269#14579148—21no—
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
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#14579147—21no—
284#14579147D411yescharacteristic
285#14579146D411yescharacteristic
286#14579145—21no—
287#14579145—21no—
288#14579144—21no—
289#14579144—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143D411yescharacteristic
293#14579142—21no—
294#14579142—21no—
295#14579142—21no—
296#14579141C2311yescharacteristic
297#14579141C2311yescharacteristic
298#14579140—21no—
299#14579140—21no—
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579139—21no—
303#14579139—21no—
304#14579139D411yescharacteristic
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138—21no—
310#14579138—21no—
311#14579137C2311yescharacteristic
312#14579137C2311yescharacteristic
313#14579135C2311yescharacteristic
314#14579134—21no—
315#14579134—21no—
316#14579134D411yescharacteristic
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132—21no—
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579130—21no—
332#14579130—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339Q8×Dic79—21no—
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342C4×Dic158—21no—
343C4×Dic158—21no—
344C4×Dic158C2311yescharacteristic
345C4×Dic158C2311yescharacteristic
346C4×Dic158C2311yescharacteristic
347C4×Dic158C2311yescharacteristic
348C4×Dic158C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350#14579126—21no—
351#14579126—21no—
352#14579126—21no—
353#14579126—21no—
354#14579126—21no—
355#14579126C2311yescharacteristic
356#14579126C2311yescharacteristic
357C4×D316C2311yescharacteristic
358C4×D316C2311yescharacteristic
359D4×Dic79—21no—
360D4×Dic79—21no—
361D4×Dic79—21no—
362D4×Dic79C2311yescharacteristic
363D4×Dic79C2311yescharacteristic
364D4×Dic79C2311yescharacteristic
365D4×Dic79C2311yescharacteristic
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79C2311yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375#14579120C2311yescharacteristic
376#14579119—21no—
377#14579119C2311yescharacteristic
378#14579119C2311yescharacteristic
379#14579118—21no—
380#14579118—21no—
381#14579118C2311yescharacteristic
382#14579117—21no—
383#14579117—21no—
384#14579117—21no—
385#14579117—21no—
386#14579117—21no—
387C2×C22⋊Dic79—21no—
388C2×(C2×D79)⋊C4—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C2×C4×Dic79—21no—
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402C4⋊(C79⋊C8)C2311yescharacteristic
403C4⋊(C79⋊C8)C2311yescharacteristic
404C4⋊(C79⋊C8)C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579085C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579082C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439#14579071C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443C2×Q16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C4⋊Q8×C79C2311yescharacteristic
452#127×C79C2311yescharacteristic
453#127×C79C2311yescharacteristic
454#126×C79—21no—
455#124×C79—21no—
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79C2311yescharacteristic
462#121×C79—21no—
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#120×C79—21no—
466#120×C79—21no—
467C4×Q8×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471C4⋊C8×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480C22⋊C8×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482#97×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929623—22no—
487#11929623—41no—
488#11929623—41no—
489#11929623—41no—
490#11929623—82no—
491C2×Dic158—22no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—41no—
499C2×Dic158C2×D411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503Q8×D79—22no—
504Q8×D79—41no—
505Q8×D79—41no—
506Q8×D79—41no—
507C2×D316C2×D411yescharacteristic
508C2×D316C2411yescharacteristic
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—41no—
526D4×D79—41no—
527D4×D79—82no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79C2×D411yescharacteristic
539C2×C4×D79C2×D411yescharacteristic
540C2×C4×D79C2411yescharacteristic
541C2×C4×D79C2411yescharacteristic
542Dic316—22no—
543Dic316—41no—
544#11929614—22no—
545#11929614—41no—
546#11929614—41no—
547#11929613—22no—
548#11929613—41no—
549#11929612—22no—
550#11929612—22no—
551#11929612—22no—
552#11929612—41no—
553#11929612—41no—
554#11929612—41no—
555#11929612—41no—
556#11929611—41no—
557#11929609—41no—
558#11929608—41no—
559#11929607—41no—
560#11929607—41no—
561#11929607—41no—
562C2×C79⋊C8—41no—
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C8×D79—41no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599C22⋊Dic79—21no—
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⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79C2×D411yescharacteristic
616C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79C2×D411yescharacteristic
648C4×Dic79C2×D411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C4×Dic79C2411yescharacteristic
651C24×C79—21no—
652#41×C79—41no—
653#41×C79—41no—
654C2×Q8×C79—21no—
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×D4×C79—21no—
658C2×D4×C79—21no—
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×C79—41no—
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79C2411yescharacteristic
673Q16×C79—41no—
674SD16×C79—41no—
675SD16×C79—41no—
676SD16×C79—41no—
677SD16×C79—41no—
678D8×C79—41no—
679D8×C79—41no—
680D8×C79—41no—
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79C2×D411yescharacteristic
689C4⋊C4×C79C2×D411yescharacteristic
690C4⋊C4×C79C2411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C22⋊C4×C79—21no—
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
702C22⋊C4×C79C2×D411yescharacteristic
703C42×C79—21no—
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79—81no—
713C23×C79C22×D411yescharacteristic
714C22×D79—21no—
715C22×D79—42no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722C22×D79C22×D411yescharacteristic
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—81no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—81no—
737D4×C79—81no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
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—81no—
750C2×C4×C79—81no—
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C22×D411yescharacteristic
753C2×C4×C79C22×D411yescharacteristic
754C2×C4×C79C22×D411yescharacteristic
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C2511yescharacteristic
757C22⋊D79—41no—
758C22⋊D79—41no—
759C22⋊D79—42no—
760C22⋊D79—42no—
761C22⋊D79—42no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—42no—
778C2×Dic79—42no—
779C2×Dic79—42no—
780C2×Dic79—81no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79—81no—
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790D316—21no—
791D316—21no—
792D316—41no—
793C4×D79—21no—
794C4×D79—21no—
795C4×D79—21no—
796C4×D79—21no—
797C4×D79—41no—
798C4×D79—41no—
799C4×D79—42no—
800C4×D79—81no—
801C4×D79—81no—
802Dic158—21no—
803Dic158—21no—
804Dic158—21no—
805Dic158—21no—
806Dic158—21no—
807Dic158—41no—
808Dic158—42no—
809Dic158—42no—
810Dic158—81no—
811Dic158—81no—
812Dic158—81no—
813Dic158—81no—
814Dic158H(5,𝔽2)12yes—
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—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—162no—
839C22×C79C23×D411yescharacteristic
840C2×D79—21no—
841C2×D79—21no—
842C2×D79—21no—
843C2×D79—21no—
844C2×D79—21no—
845C2×D79—21no—
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—21no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79C2×H(5,𝔽2)11yescharacteristic
861C4×C79#58511yescharacteristic
862Dic79—21no—
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—22no—
867Dic79—21no—
868Dic79—21no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875#62092—791nomaximal, Sylow
876C2×C79—41no—
877C2×C79—81no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79—81no—
881C2×C79#348811yescharacteristic
882C2×C79#358511yescharacteristic
883C2×C79#358611yescharacteristic
884D79—41no—
885D79—41no—
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#3266—791no—
903#3265—791no—
904#3265—791no—
905#3262—791no—
906#3262—791no—
907#3254—791no—
908#3224—791no—
909#3224D7911yescharacteristic, complemented
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×#137—791no—
922C2×AGL(1,ℤ/8)—791no—
923C22×SD16—791no—
924C22×SD16—791no—
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×Q8—791no—
939#548—791no—
940#548—791no—
941#548—791no—
942#548—791no—
943#546—791no—
944#546—791no—
945#546—1581no—
946#546—1581no—
947D42—791no—
948D42—791no—
949#542—791no—
950#542—791no—
951#542—791no—
952#542—1581no—
953#542—1581no—
954#542C2×D7911yescharacteristic, complemented
955#538—1581no—
956#538—1581no—
957#538—1581no—
958#535—791no—
959#535C2×D7911yescharacteristic
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#497—791no—
972#496—791no—
973#496C2×D7911yescharacteristic
974#495—791no—
975#495C2×D7911yescharacteristic, complemented
976#489—791no—
977#489—791no—
978#489—791no—
979#489C2×D7911yescharacteristic, complemented
980#486—791no—
981#486C2×D7911yescharacteristic
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#468—791no—
1006#467—791no—
1007#467—791no—
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#463C2×D7911yescharacteristic, complemented
1030#461—791no—
1031#461—791no—
1032#460—791no—
1033#460—791no—
1034#460—791no—
1035#460—791no—
1036#460—791no—
1037#460—791no—
1038#460C2×D7911yescharacteristic, complemented
1039#459C2×D7911yescharacteristic, complemented
1040#452—791no—
1041#452C2×D7911yescharacteristic, complemented
1042#451—791no—
1043#451—791no—
1044#451—791no—
1045#451—791no—
1046#450—791no—
1047#450—791no—
1048#450—791no—
1049#450C2×D7911yescharacteristic, complemented
1050#449—791no—
1051#449—791no—
1052#449—791no—
1053#449C2×D7911yescharacteristic, complemented
1054#448—791no—
1055#448—791no—
1056#447—791no—
1057#447C2×D7911yescharacteristic, complemented
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#440—791no—
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#435—791no—
1078#433—791no—
1079#433C2×D7911yescharacteristic, complemented
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×Q8—791no—
1096C22×Q8—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4—1581no—
1101C22×D4C22×D7911yescharacteristic
1102#137—3162no—
1103#137—3162no—
1104#137—3162no—
1105AGL(1,ℤ/8)—3162no—
1106C2×Q16—791no—
1107C2×Q16—791no—
1108C2×Q16—791no—
1109C2×Q16—791no—
1110C2×Q16—791no—
1111C2×Q16C22×D7911yescharacteristic
1112C2×SD16—3162no—
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×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16C22×D7911yescharacteristic
1125C2×SD16C22×D7911yescharacteristic
1126C2×SD16C22×D7911yescharacteristic
1127C2×SD16C22×D7911yescharacteristic
1128C2×D8—791no—
1129C2×D8C22×D7911yescharacteristic
1130C2×D8C22×D7911yescharacteristic
1131C2×D8C22×D7911yescharacteristic
1132C2×M16—791no—
1133C2×M16—791no—
1134C2×M16—791no—
1135C2×M16—791no—
1136C22×C8—791no—
1137C22×C8—791no—
1138C4⋊Q8—791no—
1139C4⋊Q8—791no—
1140C4⋊Q8—791no—
1141C4⋊Q8—791no—
1142C4⋊Q8—1581no—
1143C4⋊Q8—1581no—
1144C4⋊Q8—1581no—
1145C4⋊Q8—1581no—
1146C4⋊Q8C22×D7911yescharacteristic
1147#127—791no—
1148#127C22×D7911yescharacteristic
1149#127C22×D7911yescharacteristic
1150#126—21no—
1151#126—791no—
1152#126—791no—
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—21no—
1165#124—791no—
1166#124—791no—
1167#124—791no—
1168#124—791no—
1169#124—791no—
1170#124—791no—
1171#124—1581no—
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#124C22×D7911yescharacteristic
1188#124C22×D7911yescharacteristic
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—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
1207C22⋊Q8—791no—
1208C22⋊Q8—791no—
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⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8C22×D7911yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
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—21no—
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—791no—
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×D4—1581no—
1289C4×D4C22×D7911yescharacteristic
1290#117—791no—
1291#117—791no—
1292#117—791no—
1293#117—791no—
1294#117—1581no—
1295#117—1581no—
1296#117—1581no—
1297#117—1581no—
1298#117—1581no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117C22×D7911yescharacteristic
1303C2×C22⋊C4—1581no—
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#107—791no—
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⋊C8C22×D7911yescharacteristic
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#103—791no—
1338#103—791no—
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#102C22×D7911yescharacteristic
1354#102C22×D7911yescharacteristic
1355#102C22×D7911yescharacteristic
1356#102C22×D7911yescharacteristic
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×C8C22×D7911yescharacteristic
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—3161no—
1383C2×Q8—3161no—
1384C2×Q8—3161no—
1385C2×Q8—3161no—
1386C2×Q8—791no—
1387C2×Q8—791no—
1388C2×Q8—791no—
1389C2×Q8—791no—
1390C2×Q8—1582no—
1391C2×Q8—1581no—
1392C2×Q8—1581no—
1393C2×Q8—1581no—
1394C2×Q8—1581no—
1395C2×Q8—1582no—
1396C2×Q8—1581no—
1397C2×Q8—1581no—
1398C2×Q8C23×D7911yescharacteristic
1399C2×Q8C23×D7911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—3161no—
1412C2×D4—3161no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—791no—
1416C2×D4—791no—
1417C2×D4—6322no—
1418C2×D4—6322no—
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×D4C23×D7911yescharacteristic
1431C2×D4C23×D7911yescharacteristic
1432C2×D4C23×D7911yescharacteristic
1433C2×D4C23×D7911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—791no—
1437C22×C4—791no—
1438C22×C4—791no—
1439C22×C4—791no—
1440C22×C4—1581no—
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×C4—1581no—
1450C22×C4C23×D7911yescharacteristic
1451Q16—41no—
1452Q16—3161no—
1453Q16—3161no—
1454Q16—3161no—
1455Q16—1582no—
1456Q16—1582no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460SD16—41no—
1461SD16—3161no—
1462SD16—3161no—
1463SD16—3161no—
1464SD16—3161no—
1465SD16—3161no—
1466SD16—3161no—
1467SD16—1582no—
1468SD16—1582no—
1469SD16—1582no—
1470SD16—1582no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—3161no—
1475M16—3161no—
1476M16—3161no—
1477M16—3161no—
1478M16—3161no—
1479C2×C8—3161no—
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—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
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—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
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—21no—
1535C22⋊C4—21no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
1542C22⋊C4—791no—
1543C22⋊C4—791no—
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—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42—1581no—
1585C42—1581no—
1586C42—1581no—
1587C42—1581no—
1588C42—1581no—
1589C42—1581no—
1590C42—1581no—
1591C42C23×D7911yescharacteristic
1592C42C23×D7911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—81no—
1598C23—81no—
1599C23—81no—
1600C23—3162no—
1601C23—791no—
1602C23—791no—
1603C23—6321no—
1604C23—6321no—
1605C23—6321no—
1606C23—6321no—
1607C23—6321no—
1608C23—1581no—
1609C23C2×D4×D7911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—3162no—
1616Q8—3161no—
1617Q8—3162no—
1618Q8—792no—
1619Q8—6321no—
1620Q8—6321no—
1621Q8—6321no—
1622Q8—6321no—
1623Q8—1581no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8—1581no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—3161no—
1644D4—3162no—
1645D4—3162no—
1646D4—3161no—
1647D4—3161no—
1648D4—3162no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—1581no—
1658D4—1581no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—3161no—
1668C2×C4—3161no—
1669C2×C4—3162no—
1670C2×C4—3162no—
1671C2×C4—3162no—
1672C2×C4—3162no—
1673C2×C4—791no—
1674C2×C4—791no—
1675C2×C4—791no—
1676C2×C4—791no—
1677C2×C4—791no—
1678C2×C4—791no—
1679C2×C4—6321no—
1680C2×C4—6321no—
1681C2×C4—6321no—
1682C2×C4—6321no—
1683C2×C4—6321no—
1684C2×C4—6321no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4C2×D4×D7911yescharacteristic
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—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—1581no—
1730C22—1581no—
1731C22—1581no—
1732C22—1581no—
1733C22—1581no—
1734C22—1581no—
1735C22—12642no—
1736C22—12642no—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—3161no—
1753C4—1582no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4H(5,𝔽2)×D7911yescharacteristic
1761C4#1909939811yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3161no—
1768C2—3161no—
1769C2—6321no—
1770C2#2377706711yescharacteristic
1771C2#2377817511yescharacteristic
1772C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3224C2
socleC22×C79C23×D4
hypercenter#3224D79
hypocenterC79#62092
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #23777918C2semidirect
2. #23777413C2semidirect
3. #23776472C2semidirect
4. #23776461C2semidirect
5. #23776219C2semidirect
6. #23776211C2semidirect
7. #23775630C2semidirect
8. #23775624C2semidirect
9. #23775560C2semidirect
10. #23775549C2semidirect
11. #23775470C2semidirect
12. #23775465C2semidirect
13. #23775055C2semidirect
14. #23775050C2semidirect
15. #23774914C2semidirect
16. #23774908C2semidirect
17. #23774899C2semidirect
18. #23774894C2semidirect
19. #23774858C2semidirect
20. #23774856C2semidirect
21. #23774785C2semidirect
22. #23774491C2semidirect
23. #23774401C2semidirect
24. #23773631C2semidirect
25. #23773626C2semidirect
26. #23773548C2semidirect
27. #23772917C2semidirect
28. #23772916C2semidirect
29. #23772889C2semidirect
30. #23772565C2semidirect
31. C79×#3224C2semidirect
32. C2×#14579191C22semidirect
33. C2×#14579190C22semidirect
34. C2×#14579190C22semidirect
36. C22×#11929612C22semidirect
37. C2×SD16×D79C22semidirect
42. #19099293C22semidirect
43. #19099287C22semidirect
44. #19099284C22semidirect
46. #19099282C22semidirect
49. #19099277C22semidirect
51. #19099226C22semidirect
53. #19099221C22semidirect
55. #19099219C22semidirect
66. #19099178C22semidirect
72. #19099117C22semidirect
78. #19099040C22semidirect
79. #19099039C22semidirect
80. C4×#11929623C22semidirect
81. #19098956C22semidirect
82. #19098954C22semidirect
84. #19098946C22semidirect
85. #19098924C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
89. #19098905C22semidirect
90. #19098902C22semidirect
93. #19098886C22semidirect
94. #19098886C22semidirect
95. #19098859C22semidirect
96. #19098858C22semidirect
97. #19098856C22semidirect
98. #19098855C22semidirect
99. #19098849C22semidirect
100. #19098843C22semidirect
101. #19098841C22semidirect
102. #19098841C22semidirect
103. #19098841C22semidirect
104. #19098840C22semidirect
107. #19098808C22semidirect
108. #19098808C22semidirect
109. #19098807C22semidirect
110. #19098806C22semidirect
111. #19098806C22semidirect
112. #19098806C22semidirect
113. #19098803C22semidirect
114. #19098802C22semidirect
117. #19098788C22semidirect
118. #19098786C22semidirect
119. #19098786C22semidirect
120. #19098785C22semidirect
121. #19098784C22semidirect
122. #19098784C22semidirect
123. #19098783C22semidirect
124. #19098783C22semidirect
125. #19098782C22semidirect
126. #19098782C22semidirect
127. #19098782C22semidirect
128. #19098782C22semidirect
129. #19098782C22semidirect
130. #19098780C22semidirect
131. #19098778C22semidirect
132. #19098776C22semidirect
133. #19098776C22semidirect
134. #19098775C22semidirect
135. #19098766C22semidirect
136. #19098766C22semidirect
141. #19098760C22semidirect
142. #19098760C22semidirect
143. #19098726C22semidirect
144. #19098721C22semidirect
145. #19098720C22semidirect
146. #19098717C22semidirect
147. #19098717C22semidirect
149. #19098715C22semidirect
151. #19098705C22semidirect
152. #19098705C22semidirect
153. #19098705C22semidirect
156. #19098695C22semidirect
157. #19098693C22semidirect
158. #19098691C22semidirect
159. #19098675C22semidirect
160. #19098675C22semidirect
161. #19098671C22semidirect
162. #19098670C22semidirect
163. #19098665C22semidirect
164. #19098660C22semidirect
165. #19098660C22semidirect
166. #19098660C22semidirect
167. C4×Dic316C22semidirect
168. #19098655C22semidirect
169. C4×#11929613C22semidirect
170. SD16×Dic79C22semidirect
171. #19098642C22semidirect
172. #19098638C22semidirect
173. #19098637C22semidirect
174. #19098636C22semidirect
175. #19098631C22semidirect
176. #19098631C22semidirect
177. #19098623C22semidirect
178. #19098619C22semidirect
179. #19098590C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
182. #19098570C22semidirect
183. #19098568C22semidirect
185. #19098566C22semidirect
186. #19098559C22semidirect
187. #19098556C22semidirect
188. #542×C79C22semidirect
191. #495×C79C22semidirect
192. #489×C79C22semidirect
194. #464×C79C22semidirect
195. #463×C79C22semidirect
196. #460×C79C22semidirect
197. #459×C79C22semidirect
198. #452×C79C22semidirect
199. #450×C79C22semidirect
200. #449×C79C22semidirect
201. #447×C79C22semidirect
202. #433×C79C22semidirect
909. #3224D79semidirect
918. C79#62092semidirect
954. #542C2×D79semidirect
975. #495C2×D79semidirect
979. #489C2×D79semidirect
1023. #464C2×D79semidirect
1029. #463C2×D79semidirect
1038. #460C2×D79semidirect
1039. #459C2×D79semidirect
1041. #452C2×D79semidirect
1049. #450C2×D79semidirect
1053. #449C2×D79semidirect
1057. #447C2×D79semidirect
1079. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779182
#237774132
#237764722
#237764612
#237762192
#237762112
#237756302
#237756242
#237755602
#237755492
#237754702
#237754652
#237750552
#237750502
#237749142
#237749082
#237748992
#237748942
#237748582
#237748562
#237747852
#237744912
#237744012
#237736312
#237736262
#237735482
#237729172
#237729162
#237728892
#237725652
C79×#32242
#6209279