Finite Group Databasebeta

← #35181853

Subgroups — #35181853

Order 20224.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777914C211yesmaximal, characteristic
2#23777489C211yesmaximal, characteristic, complemented
3#23776454C211yesmaximal, characteristic, complemented
4#23776452C211yesmaximal, characteristic, complemented
5#23776166C211yesmaximal, characteristic, complemented
6#23776163C211yesmaximal, characteristic, complemented
7#23775437C211yesmaximal, characteristic, complemented
8#23775434C211yesmaximal, characteristic, complemented
9#23775417C211yesmaximal, characteristic, complemented
10#23775285C211yesmaximal, characteristic, complemented
11#23775281C211yesmaximal, characteristic, complemented
12#23775094C211yesmaximal, characteristic, complemented
13D4×#11929612C211yesmaximal, characteristic, complemented
14#23774975C211yesmaximal, characteristic, complemented
15#23774967C211yesmaximal, characteristic, complemented
16#23774917C211yesmaximal, characteristic, complemented
17#23774914C211yesmaximal, characteristic, complemented
18#23774830C211yesmaximal, characteristic, complemented
19#23774827C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774473C211yesmaximal, characteristic, complemented
22#23774468C211yesmaximal, characteristic, complemented
23#23774400C211yesmaximal, characteristic, complemented
24#23773627C211yesmaximal, characteristic, complemented
25#23773624C211yesmaximal, characteristic, complemented
26#23773519C211yesmaximal, characteristic, complemented
27#23772920C211yesmaximal, characteristic, complemented
28#23772916C211yesmaximal, characteristic, complemented
29C2×#19098784C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3310C211yesmaximal, characteristic, complemented
32C2×#14579194C2211yescharacteristic, complemented
33C2×#14579190C2211yescharacteristic, complemented
34C22×Dic316C2211yescharacteristic, complemented
35C22×#11929612C2211yescharacteristic
36C22×#11929612C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic, complemented
38#19099308—21no—
39#19099306—21no—
40#19099299C2211yescharacteristic
41#19099296C2211yescharacteristic
42#19099291C2211yescharacteristic, complemented
43#19099290—21no—
44#19099290C2211yescharacteristic, complemented
45#19099281C2211yescharacteristic, complemented
46#19099280—21no—
47#19099250—21no—
48#19099248C2211yescharacteristic, complemented
49#19099246—21no—
50D4×Dic158C2211yescharacteristic, complemented
51#19099226C2211yescharacteristic, complemented
52#19099226C2211yescharacteristic, complemented
53#19099222C2211yescharacteristic
54#19099219C2211yescharacteristic
55#19099210C2211yescharacteristic
56#19099207—21no—
57#19099207C2211yescharacteristic
58#19099200—21no—
59D4×C22⋊D79C2211yescharacteristic
60#19099180C2211yescharacteristic
61#19099178C2211yescharacteristic
62#19099176C2211yescharacteristic, complemented
63#19099173C2211yescharacteristic, complemented
64#19099172—21no—
65#19099170—21no—
66#19099148—21no—
67#19099148—21no—
68#19099145—21no—
69#19099130C2211yescharacteristic
70#19099126C2211yescharacteristic
71#19099122—21no—
72#19099116—21no—
73#19099115C2211yescharacteristic, complemented
74#19099108C2211yescharacteristic
75#19099093C2211yescharacteristic
76#19099090—21no—
77C2×#14579148C2211yescharacteristic
78#19099040C2211yescharacteristic, complemented
79#19099039C2211yescharacteristic, complemented
80C2×#14579126C2211yescharacteristic, complemented
81#19098957C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098954C2211yescharacteristic, complemented
84#19098954C2211yescharacteristic, complemented
85#19098935C2211yescharacteristic
86#19098934C2211yescharacteristic
87#19098926C2211yescharacteristic
88#19098921C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098920C2211yescharacteristic, complemented
91#19098916C2211yescharacteristic, complemented
92#19098906C2211yescharacteristic, complemented
93#19098904C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic
95#19098876C2211yescharacteristic, complemented
96#19098869C2211yescharacteristic, complemented
97#19098867C2211yescharacteristic, complemented
98#19098865C2211yescharacteristic, complemented
99#19098857C2211yescharacteristic, complemented
100#19098857C2211yescharacteristic, complemented
101#19098852C2211yescharacteristic, complemented
102#19098851C2211yescharacteristic, complemented
103#19098847C2211yescharacteristic, complemented
104#19098846C2211yescharacteristic, complemented
105#19098822C2211yescharacteristic, complemented
106#19098821C2211yescharacteristic, complemented
107#19098808C2211yescharacteristic
108#19098805C2211yescharacteristic, complemented
109#19098802C2211yescharacteristic, complemented
110#19098794C2211yescharacteristic, complemented
111#19098792C2211yescharacteristic, complemented
112#19098791C2211yescharacteristic
113#19098790C2211yescharacteristic
114#19098790C2211yescharacteristic, complemented
115#19098786C2211yescharacteristic, complemented
116#19098785C2211yescharacteristic, complemented
117#19098784C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098784C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098784C2211yescharacteristic, complemented
124#19098784C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098784C2211yescharacteristic, complemented
127#19098784C2211yescharacteristic, complemented
128#19098784C2211yescharacteristic, complemented
129#19098783C2211yescharacteristic, complemented
130#19098783C2211yescharacteristic, complemented
131#19098774C2211yescharacteristic, complemented
132#19098772C2211yescharacteristic, complemented
133#19098768C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic
138#19098762C2211yescharacteristic
139#19098762C2211yescharacteristic, complemented
140#19098762C2211yescharacteristic, complemented
141#19098762C2211yescharacteristic, complemented
142#19098761C2211yescharacteristic, complemented
143#19098760C2211yescharacteristic
144#19098727C2211yescharacteristic, complemented
145#19098726C2211yescharacteristic, complemented
146#19098726C2211yescharacteristic, complemented
147#19098723C2211yescharacteristic, complemented
148#19098721C2211yescharacteristic, complemented
149#19098721C2211yescharacteristic, complemented
150#19098720C2211yescharacteristic, complemented
151#19098718C2211yescharacteristic, complemented
152#19098715C2211yescharacteristic, complemented
153#19098715C2211yescharacteristic, complemented
154#19098714C2211yescharacteristic
155#19098714C2211yescharacteristic, complemented
156#19098704C2211yescharacteristic, complemented
157#19098701C2211yescharacteristic
158#19098701C2211yescharacteristic, complemented
159#19098700C2211yescharacteristic
160#19098691C2211yescharacteristic, complemented
161#19098690C2211yescharacteristic, complemented
162#19098671C2211yescharacteristic, complemented
163#19098669C2211yescharacteristic, complemented
164#19098662C2211yescharacteristic, complemented
165#19098662C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167#19098660C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098657C2211yescharacteristic, complemented
170C4×#11929614C2211yescharacteristic, complemented
171#19098654C2211yescharacteristic, complemented
172C4×#11929612C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176D4×C79⋊C8C2211yescharacteristic, complemented
177(C22⋊D79)⋊C8C2211yescharacteristic, complemented
178#19098625C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098617C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C2×Dic79⋊C8C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098557C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187C2×#14579084C2211yescharacteristic, complemented
188#552×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic
191#482×C79C2211yescharacteristic
192#480×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic
195#465×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C22×Dic158C2311yescharacteristic
209C2×Q8×D79C2311yescharacteristic
210C22×C22⋊D79—21no—
211C2×D4×D79C2311yescharacteristic
212#14579194—42no—
213#14579190—42no—
214C2×Dic316—42no—
215C2×Dic316C2311yescharacteristic
216C2×Dic316C2311yescharacteristic
217C2×Dic316C2311yescharacteristic
218C2×Dic316C2311yescharacteristic
219C2×Dic316C2311yescharacteristic
220C2×Dic316C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929614C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929612—42no—
227C2×#11929612—42no—
228C2×#11929612C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929612C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238SD16×D79—42no—
239C2×#11929607C2311yescharacteristic
240C22×C79⋊C8C2311yescharacteristic
241C22×C79⋊C8C2311yescharacteristic
242C2×C8×D79C2311yescharacteristic
243#14579161C2311yescharacteristic
244#14579160—21no—
245#14579160—21no—
246#14579160—21no—
247#14579160—21no—
248#14579160C2311yescharacteristic
249#14579160C2311yescharacteristic
250#14579159C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579157C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579156—21no—
255#14579156—21no—
256#14579156—21no—
257#14579156D411yescharacteristic
258#14579155—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579154D411yescharacteristic
265#14579153—21no—
266#14579152—21no—
267#14579152—21no—
268#14579152—21no—
269#14579152C2311yescharacteristic
270#14579151—21no—
271#14579151—21no—
272#14579151—21no—
273#14579151—21no—
274#14579151—21no—
275#14579151—21no—
276#14579151—21no—
277#14579151D411yescharacteristic
278#14579149C2311yescharacteristic
279#14579148—21no—
280#14579148—21no—
281#14579148—21no—
282#14579148—21no—
283#14579148C2311yescharacteristic
284#14579148C2311yescharacteristic
285#14579148C2311yescharacteristic
286#14579148C2311yescharacteristic
287#14579148C2311yescharacteristic
288#14579147—21no—
289#14579147—21no—
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579147D411yescharacteristic
295#14579145D411yescharacteristic
296#14579144—21no—
297#14579144—21no—
298#14579144—21no—
299#14579143—21no—
300#14579143—21no—
301#14579142—21no—
302#14579142—21no—
303#14579142—21no—
304#14579142—21no—
305#14579142D411yescharacteristic
306#14579141C2311yescharacteristic
307#14579141C2311yescharacteristic
308#14579141C2311yescharacteristic
309#14579140—21no—
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579139—21no—
314#14579139—21no—
315#14579139—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138—21no—
320#14579138—21no—
321#14579138—21no—
322#14579138—21no—
323#14579138D411yescharacteristic
324#14579135C2311yescharacteristic
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133D411yescharacteristic
333#14579132—21no—
334#14579132—21no—
335#14579132—21no—
336#14579132C2311yescharacteristic
337#14579130—21no—
338#14579130—21no—
339#14579130—21no—
340#14579130—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345Q8×Dic79C2311yescharacteristic
346C4×Dic158—21no—
347C4×Dic158—21no—
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158—21no—
351C4×Dic158C2311yescharacteristic
352C4×Dic158C2311yescharacteristic
353C4×Dic158C2311yescharacteristic
354#14579126—21no—
355#14579126—21no—
356#14579126—21no—
357#14579126—21no—
358#14579126—21no—
359#14579126C2311yescharacteristic
360#14579126C2311yescharacteristic
361#14579126C2311yescharacteristic
362#14579126C2311yescharacteristic
363#14579126C2311yescharacteristic
364#14579126C2311yescharacteristic
365#14579126C2311yescharacteristic
366#14579126C2311yescharacteristic
367D4×Dic79—21no—
368D4×Dic79—21no—
369D4×Dic79—21no—
370D4×Dic79C2311yescharacteristic
371D4×Dic79C2311yescharacteristic
372#14579123C2311yescharacteristic
373C4×C22⋊D79—21no—
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380#14579120—21no—
381#14579120C2311yescharacteristic
382#14579119—21no—
383#14579119C2311yescharacteristic
384#14579118—21no—
385#14579118C2311yescharacteristic
386#14579117—21no—
387#14579117—21no—
388#14579117—21no—
389C2×Dic79⋊C4—21no—
390C2×C22⋊Dic79—21no—
391C2×C22⋊Dic79—21no—
392C2×C22⋊Dic79—21no—
393C22⋊C4×D79—21no—
394C2×C4×Dic79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579084C2311yescharacteristic
424#14579084C2311yescharacteristic
425#14579083C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×M16×C79C2311yescharacteristic
448C22×C8×C79C2311yescharacteristic
449#127×C79C2311yescharacteristic
450#126×C79—21no—
451#125×C79—21no—
452#125×C79C2311yescharacteristic
453#123×C79—21no—
454C22⋊Q8×C79C2311yescharacteristic
455C22⋊Q8×C79C2311yescharacteristic
456#121×C79—21no—
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460#120×C79—21no—
461C4×Q8×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464#117×C79—21no—
465#117×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929623—41no—
488#11929623—41no—
489#11929623—82no—
490C2×Dic158—22no—
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×Dic158—41no—
500C2×Dic158—41no—
501C2×Dic158—41no—
502C2×Dic158C2×D411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×Dic158C2411yescharacteristic
505C2×Dic158C2411yescharacteristic
506C2×Dic158C2411yescharacteristic
507C2×Dic158C2411yescharacteristic
508Q8×D79—22no—
509Q8×D79—41no—
510C2×D316C2411yescharacteristic
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—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79C2×D411yescharacteristic
532C22×Dic79C2×D411yescharacteristic
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79C2411yescharacteristic
537Dic316—22no—
538Dic316—22no—
539Dic316—41no—
540Dic316—41no—
541Dic316—41no—
542Dic316—41no—
543#11929614—41no—
544#11929614—41no—
545#11929613—22no—
546#11929613—41no—
547#11929613—41no—
548#11929612—22no—
549#11929612—22no—
550#11929612—22no—
551#11929612—41no—
552#11929612—41no—
553#11929612—41no—
554#11929612—41no—
555#11929612—41no—
556#11929612—41no—
557#11929611—41no—
558#11929607—41no—
559C2×C79⋊C8—41no—
560C2×C79⋊C8—41no—
561C2×C79⋊C8C2411yescharacteristic
562C2×C79⋊C8C2411yescharacteristic
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C8×D79—41no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊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⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79C2×D411yescharacteristic
621C22⋊Dic79C2×D411yescharacteristic
622C22⋊Dic79C2×D411yescharacteristic
623C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
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×Dic79—21no—
648C4×Dic79C2×D411yescharacteristic
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C24×C79—21no—
654C24×C79—21no—
655C2×Q8×C79C2411yescharacteristic
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—41no—
663C2×D4×C79—41no—
664C2×D4×C79—41no—
665C2×D4×C79—41no—
666C2×D4×C79—82no—
667C2×D4×C79C2×D411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675SD16×C79—41no—
676SD16×C79—41no—
677SD16×C79—41no—
678M16×C79—41no—
679C2×C8×C79—41no—
680C2×C8×C79C2411yescharacteristic
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79C2×D411yescharacteristic
702C22⋊C4×C79C2×D411yescharacteristic
703C42×C79—21no—
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—42no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79—81no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C22×D79—21no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724D4×C79—22no—
725D4×C79—21no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—42no—
732D4×C79—81no—
733D4×C79—81no—
734D4×C79—81no—
735D4×C79—81no—
736D4×C79—81no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—42no—
747C2×C4×C79—81no—
748C2×C4×C79C22×D411yescharacteristic
749C2×C4×C79C22×D411yescharacteristic
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C2511yescharacteristic
753C22⋊D79—22no—
754C22⋊D79—41no—
755C22⋊D79—42no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C2×Dic79—22no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—41no—
773C2×Dic79—42no—
774C2×Dic79—42no—
775C2×Dic79—81no—
776C2×Dic79—81no—
777C2×Dic79—81no—
778C2×Dic79—81no—
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786D316—21no—
787D316—21no—
788C4×D79—21no—
789C4×D79—21no—
790C4×D79—42no—
791C4×D79—81no—
792C4×D79—81no—
793Dic158—21no—
794Dic158—21no—
795Dic158—21no—
796Dic158—21no—
797Dic158—21no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—41no—
803Dic158—42no—
804Dic158—42no—
805Dic158—42no—
806Dic158—42no—
807Dic158—81no—
808Dic158—81no—
809Dic158H(5,𝔽2)12yes—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—162no—
833C22×C79—162no—
834C22×C79#57712yes—
835C22×C79C23×D411yescharacteristic
836C2×D79—21no—
837C2×D79—21no—
838C2×D79—21no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—162no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—21no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79C2×H(5,𝔽2)11yescharacteristic
853C4×C79#58511yescharacteristic
854Dic79—21no—
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—22no—
859Dic79—21no—
860Dic79—21no—
861Dic79—21no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—22no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79—81no—
874C2×C79#348811yescharacteristic
875C2×C79C2×#57711yescharacteristic
876C2×C79#358611yescharacteristic
877D79—41no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311—791no—
887#3310—791no—
888#3310D7911yescharacteristic, complemented
889#3300—791no—
890#3300—791no—
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#3266—791no—
897#3258—791no—
898#3258—791no—
899#3246—791no—
900#3222—791no—
901#3222—791no—
902#3215—791no—
903#3121—791no—
904#3121—791no—
905#3112—791no—
906#3043—791no—
907#3043—791no—
908C2×#464—791no—
909#2992—791no—
910C79#6201911yescharacteristic, complemented, Sylow
911C2×#137—791no—
912C2×#137—791no—
913C22×Q16—791no—
914C22×SD16—791no—
915C22×SD16—791no—
916C22×SD16—791no—
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—791no—
925#556—1581no—
926#552—791no—
927#552—1581no—
928#552—1581no—
929#552C2×D7911yescharacteristic, complemented
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8—791no—
933#548—791no—
934#548—791no—
935#546—791no—
936#546—791no—
937#546—1581no—
938#546—1581no—
939D42—791no—
940D42C2×D7911yescharacteristic
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535—791no—
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519—791no—
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497—791no—
966#492—791no—
967#492—791no—
968#490—791no—
969#490C2×D7911yescharacteristic
970#489—791no—
971#489—791no—
972#488—791no—
973#488—791no—
974#485—791no—
975#485—791no—
976#482—791no—
977#482C2×D7911yescharacteristic
978#480—791no—
979#480C2×D7911yescharacteristic, complemented
980#479—791no—
981#479—791no—
982#478—791no—
983#478C2×D7911yescharacteristic, complemented
984#477—791no—
985#477—791no—
986#476—791no—
987#476—791no—
988#475—791no—
989#475—791no—
990#470—791no—
991#470—791no—
992#468—791no—
993#468C2×D7911yescharacteristic
994#467—791no—
995#467—791no—
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465—791no—
1001#465C2×D7911yescharacteristic, complemented
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—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#462—791no—
1019#462—791no—
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461—791no—
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460—791no—
1029#460—791no—
1030#460—791no—
1031#460C2×D7911yescharacteristic
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452—791no—
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451—791no—
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450C2×D7911yescharacteristic
1045#450C2×D7911yescharacteristic, complemented
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448—791no—
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440C2×D7911yescharacteristic, complemented
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435C2×D7911yescharacteristic, complemented
1068C8×D4—791no—
1069C8×D4—791no—
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424—791no—
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418C2×D7911yescharacteristic, complemented
1078#416—791no—
1079#416—791no—
1080C2×#103—791no—
1081C2×#102C2×D7911yescharacteristic
1082C2×#41—791no—
1083C2×#41—791no—
1084C2×#41—1581no—
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8—791no—
1089C22×D4—21no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4C22×D7911yescharacteristic
1093C22×D4C22×D7911yescharacteristic
1094#137—3162no—
1095#137—3162no—
1096C2×Q16—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16—791no—
1104C2×Q16—791no—
1105C2×SD16—3162no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16C22×D7911yescharacteristic
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8—1581no—
1139#127—791no—
1140#127—791no—
1141#127C22×D7911yescharacteristic
1142#126—21no—
1143#126—791no—
1144#126—791no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#126—1581no—
1152#126—1581no—
1153#126—1581no—
1154#125—21no—
1155#125—791no—
1156#125—791no—
1157#125—1581no—
1158#125—1581no—
1159#125—1581no—
1160#125—1581no—
1161#125—1581no—
1162#125—1581no—
1163#125—1581no—
1164#125—1581no—
1165#125—1581no—
1166#125—1581no—
1167#125—1581no—
1168#125C22×D7911yescharacteristic
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
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#123—21no—
1187#123—791no—
1188#123—791no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—791no—
1199C22⋊Q8—791no—
1200C22⋊Q8—791no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—1581no—
1206C22⋊Q8—1581no—
1207C22⋊Q8—1581no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—1581no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121C22×D7911yescharacteristic
1233#121C22×D7911yescharacteristic
1234#120—21no—
1235#120—21no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
1244C4×Q8—791no—
1245C4×Q8—791no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—1581no—
1257C4×Q8—1581no—
1258C4×Q8—1581no—
1259C4×Q8—1581no—
1260C4×Q8—1581no—
1261C4×Q8—1581no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8—1581no—
1266C4×Q8C22×D7911yescharacteristic
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—1581no—
1273C4×D4—1581no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4C22×D7911yescharacteristic
1281C4×D4C22×D7911yescharacteristic
1282#117—21no—
1283#117—791no—
1284#117—791no—
1285#117—791no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117—1581no—
1292#117C22×D7911yescharacteristic
1293C2×C4⋊C4—1581no—
1294C2×C4⋊C4C22×D7911yescharacteristic
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107C22×D7911yescharacteristic
1304#107C22×D7911yescharacteristic
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106C22×D7911yescharacteristic
1309C4⋊C8—791no—
1310C4⋊C8—791no—
1311C4⋊C8—791no—
1312C4⋊C8—791no—
1313C4⋊C8—791no—
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8C22×D7911yescharacteristic
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103—791no—
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102C22×D7911yescharacteristic
1343#102C22×D7911yescharacteristic
1344#102C22×D7911yescharacteristic
1345#102C22×D7911yescharacteristic
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8C22×D7911yescharacteristic
1356C22⋊C8C22×D7911yescharacteristic
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360#97C22×D7911yescharacteristic
1361C4×C8—791no—
1362C4×C8—791no—
1363C24—21no—
1364C24—21no—
1365C24—1581no—
1366#41—3161no—
1367#41—3161no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—3161no—
1372C2×Q8—3161no—
1373C2×Q8—3161no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—791no—
1377C2×Q8—791no—
1378C2×Q8—791no—
1379C2×Q8—791no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—1582no—
1383C2×Q8—1582no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1581no—
1387C2×Q8—1582no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×Q8—1581no—
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—82no—
1403C2×D4—3161no—
1404C2×D4—3161no—
1405C2×D4—791no—
1406C2×D4—791no—
1407C2×D4—791no—
1408C2×D4—6322no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4D4×D7911yescharacteristic
1419C2×D4C23×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—791no—
1425C22×C4—791no—
1426C22×C4—791no—
1427C22×C4—1581no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438Q16—3161no—
1439Q16—3161no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—1582no—
1445Q16—1582no—
1446SD16—41no—
1447SD16—41no—
1448SD16—41no—
1449SD16—3161no—
1450SD16—3161no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—1582no—
1459SD16—1582no—
1460SD16—1582no—
1461SD16—1582no—
1462M16—41no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—3161no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—1581no—
1494C4⋊C4—1581no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—791no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—1581no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4D4×D7911yescharacteristic
1564C22⋊C4D4×D7911yescharacteristic
1565C42—21no—
1566C42—21no—
1567C42—791no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—1581no—
1573C42—1581no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23—791no—
1595C23—6321no—
1596C23—6321no—
1597C23—6321no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—3162no—
1604Q8—3162no—
1605Q8—3161no—
1606Q8—3162no—
1607Q8—3162no—
1608Q8—792no—
1609Q8—6321no—
1610Q8—6321no—
1611Q8—1581no—
1612Q8—1581no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8—1581no—
1620D4—22no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—3162no—
1634D4—3161no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—6321no—
1641D4—6321no—
1642D4—6321no—
1643D4—1582no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—42no—
1656C2×C4—81no—
1657C2×C4—3162no—
1658C2×C4—3162no—
1659C2×C4—3162no—
1660C2×C4—3161no—
1661C2×C4—791no—
1662C2×C4—791no—
1663C2×C4—791no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—6321no—
1669C2×C4—6321no—
1670C2×C4—6321no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1582no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—162no—
1712C22—162no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—1581no—
1717C22—1581no—
1718C22—1581no—
1719C22—12642no—
1720C22#1909937312yes—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—3161no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—1582no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4H(5,𝔽2)×D7911yescharacteristic
1746C4#1909939911yescharacteristic
1747C2—22no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—3161no—
1753C2—6321no—
1754C2#2377706311yescharacteristic
1755C2C2×#1909937311yescharacteristic
1756C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3310C2
socleC22×C79C23×D4
prime radical#23777914C2
hypercenter#3310D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
2. #23777489C2semidirect
3. #23776454C2semidirect
4. #23776452C2semidirect
5. #23776166C2semidirect
6. #23776163C2semidirect
7. #23775437C2semidirect
8. #23775434C2semidirect
9. #23775417C2semidirect
10. #23775285C2semidirect
11. #23775281C2semidirect
12. #23775094C2semidirect
13. D4×#11929612C2semidirect
14. #23774975C2semidirect
15. #23774967C2semidirect
16. #23774917C2semidirect
17. #23774914C2semidirect
18. #23774830C2semidirect
19. #23774827C2semidirect
20. #23774711C2semidirect
21. #23774473C2semidirect
22. #23774468C2semidirect
23. #23774400C2semidirect
24. #23773627C2semidirect
25. #23773624C2semidirect
26. #23773519C2semidirect
27. #23772920C2semidirect
28. #23772916C2semidirect
29. C2×#19098784C2semidirect
30. #23772540C2semidirect
31. C79×#3310C2semidirect
32. C2×#14579194C22semidirect
33. C2×#14579190C22semidirect
34. C22×Dic316C22semidirect
36. C22×#11929612C22semidirect
37. C2×SD16×D79C22semidirect
42. #19099291C22semidirect
44. #19099290C22semidirect
45. #19099281C22semidirect
48. #19099248C22semidirect
50. D4×Dic158C22semidirect
51. #19099226C22semidirect
52. #19099226C22semidirect
62. #19099176C22semidirect
63. #19099173C22semidirect
73. #19099115C22semidirect
78. #19099040C22semidirect
79. #19099039C22semidirect
80. C2×#14579126C22semidirect
81. #19098957C22semidirect
82. #19098954C22semidirect
83. #19098954C22semidirect
84. #19098954C22semidirect
88. #19098921C22semidirect
89. #19098921C22semidirect
90. #19098920C22semidirect
91. #19098916C22semidirect
92. #19098906C22semidirect
93. #19098904C22semidirect
95. #19098876C22semidirect
96. #19098869C22semidirect
97. #19098867C22semidirect
98. #19098865C22semidirect
99. #19098857C22semidirect
100. #19098857C22semidirect
101. #19098852C22semidirect
102. #19098851C22semidirect
103. #19098847C22semidirect
104. #19098846C22semidirect
105. #19098822C22semidirect
106. #19098821C22semidirect
108. #19098805C22semidirect
109. #19098802C22semidirect
110. #19098794C22semidirect
111. #19098792C22semidirect
114. #19098790C22semidirect
115. #19098786C22semidirect
116. #19098785C22semidirect
117. #19098784C22semidirect
118. #19098784C22semidirect
119. #19098784C22semidirect
120. #19098784C22semidirect
121. #19098784C22semidirect
122. #19098784C22semidirect
123. #19098784C22semidirect
124. #19098784C22semidirect
125. #19098784C22semidirect
126. #19098784C22semidirect
127. #19098784C22semidirect
128. #19098784C22semidirect
129. #19098783C22semidirect
130. #19098783C22semidirect
131. #19098774C22semidirect
132. #19098772C22semidirect
133. #19098768C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
136. #19098766C22semidirect
139. #19098762C22semidirect
140. #19098762C22semidirect
141. #19098762C22semidirect
142. #19098761C22semidirect
144. #19098727C22semidirect
145. #19098726C22semidirect
146. #19098726C22semidirect
147. #19098723C22semidirect
148. #19098721C22semidirect
149. #19098721C22semidirect
150. #19098720C22semidirect
151. #19098718C22semidirect
152. #19098715C22semidirect
153. #19098715C22semidirect
155. #19098714C22semidirect
156. #19098704C22semidirect
158. #19098701C22semidirect
160. #19098691C22semidirect
161. #19098690C22semidirect
162. #19098671C22semidirect
163. #19098669C22semidirect
164. #19098662C22semidirect
165. #19098662C22semidirect
166. #19098660C22semidirect
167. #19098660C22semidirect
168. #19098660C22semidirect
169. #19098657C22semidirect
170. C4×#11929614C22semidirect
171. #19098654C22semidirect
172. C4×#11929612C22semidirect
173. #19098634C22semidirect
174. #19098632C22semidirect
175. #19098631C22semidirect
176. D4×C79⋊C8C22semidirect
177. (C22⋊D79)⋊C8C22semidirect
178. #19098625C22semidirect
179. #19098621C22semidirect
180. #19098617C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
183. C2×Dic79⋊C8C22semidirect
184. #19098566C22semidirect
185. #19098557C22semidirect
186. #19098556C22semidirect
187. C2×#14579084C22semidirect
188. #552×C79C22semidirect
192. #480×C79C22semidirect
193. #478×C79C22semidirect
195. #465×C79C22semidirect
198. #450×C79C22semidirect
199. #440×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
888. #3310D79semidirect
910. C79#62019semidirect
929. #552C2×D79semidirect
979. #480C2×D79semidirect
983. #478C2×D79semidirect
1001. #465C2×D79semidirect
1045. #450C2×D79semidirect
1059. #440C2×D79semidirect
1067. #435C2×D79semidirect
1077. #418C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779142
#237774892
#237764542
#237764522
#237761662
#237761632
#237754372
#237754342
#237754172
#237752852
#237752812
#237750942
D4×#119296122
#237749752
#237749672
#237749172
#237749142
#237748302
#237748272
#237747112
#237744732
#237744682
#237744002
#237736272
#237736242
#237735192
#237729202
#237729162
C2×#190987842
#237725402
C79×#33102
#6201979