Finite Group Databasebeta

← #35182057

Subgroups — #35182057

Order 20224.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777982C211yesmaximal, characteristic, complemented
2#23777341C211yesmaximal, characteristic, complemented
3#23776463C211yesmaximal, characteristic, complemented
4#23776409C211yesmaximal, characteristic, complemented
5#23776150C211yesmaximal, characteristic, complemented
6#23776047C211yesmaximal, characteristic, complemented
7#23775706C211yesmaximal, characteristic, complemented
8#23775661C211yesmaximal, characteristic, complemented
9#23775648C211yesmaximal, characteristic, complemented
10#23775521C211yesmaximal, characteristic, complemented
11#23775361C211yesmaximal, characteristic, complemented
12#23775254C211yesmaximal, characteristic, complemented
13#23775105C211yesmaximal, characteristic, complemented
14#23775018C211yesmaximal, characteristic, complemented
15#23775005C211yesmaximal, characteristic, complemented
16#23774921C211yesmaximal, characteristic, complemented
17#23774889C211yesmaximal, characteristic, complemented
18#23774842C211yesmaximal, characteristic, complemented
19#23774808C211yesmaximal, characteristic, complemented
20#23774797C211yesmaximal, characteristic, complemented
21#23774502C211yesmaximal, characteristic, complemented
22#23774446C211yesmaximal, characteristic, complemented
23#23774379C211yesmaximal, characteristic, complemented
24#23773640C211yesmaximal, characteristic, complemented
25#23773615C211yesmaximal, characteristic, complemented
26#23773442C211yesmaximal, characteristic, complemented
27#23772943C211yesmaximal, characteristic, complemented
28#23772910C211yesmaximal, characteristic, complemented
29#23772861C211yesmaximal, characteristic, complemented
30#23772546C211yesmaximal, characteristic, complemented
31C79×#3273C211yesmaximal, characteristic, complemented
32C2×#14579187C2211yescharacteristic, complemented
33C2×#14579185C2211yescharacteristic
34C2×#14579181C2211yescharacteristic
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099308—21no—
37#19099302—21no—
38#19099295C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099283C2211yescharacteristic, complemented
41#19099270C2211yescharacteristic, complemented
42#19099265—21no—
43#19099265C2211yescharacteristic
44#19099258—21no—
45#19099255C2211yescharacteristic, complemented
46#19099239—21no—
47#19099239—21no—
48#19099236—21no—
49#19099231C2211yescharacteristic
50#19099223C2211yescharacteristic, complemented
51#19099220C2211yescharacteristic
52#19099218C2211yescharacteristic, complemented
53#19099217C2211yescharacteristic
54#19099207C2211yescharacteristic, complemented
55#19099201C2211yescharacteristic
56#19099200—21no—
57D4×C22⋊D79C2211yescharacteristic, complemented
58#19099182C2211yescharacteristic, complemented
59#19099173C2211yescharacteristic, complemented
60#19099166—21no—
61#19099166C2211yescharacteristic
62#19099164C2211yescharacteristic, complemented
63#19099157—21no—
64#19099156—21no—
65#19099151—21no—
66#19099150—21no—
67#19099148—21no—
68#19099133C2211yescharacteristic, complemented
69#19099130C2211yescharacteristic, complemented
70#19099109C2211yescharacteristic, complemented
71#19099099C2211yescharacteristic, complemented
72#19099094C2211yescharacteristic, complemented
73#19099093C2211yescharacteristic
74#19099069—21no—
75C2×#14579145—21no—
76#19099046C2211yescharacteristic
77#19099035C2211yescharacteristic, complemented
78C2×D4×Dic79C2211yescharacteristic, complemented
79#19098958C2211yescharacteristic, complemented
80#19098951C2211yescharacteristic
81#19098948C2211yescharacteristic, complemented
82#19098944C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic
84#19098926C2211yescharacteristic, complemented
85#19098922C2211yescharacteristic, complemented
86#19098919C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098916C2211yescharacteristic, complemented
89#19098914C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic, complemented
92#19098891C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098879C2211yescharacteristic, complemented
96#19098872C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098869C2211yescharacteristic, complemented
99#19098869C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098861C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098853C2211yescharacteristic, complemented
105#19098844C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098815C2211yescharacteristic, complemented
108#19098814C2211yescharacteristic
109#19098809C2211yescharacteristic, complemented
110#19098809C2211yescharacteristic, complemented
111#19098806C2211yescharacteristic, complemented
112#19098796C2211yescharacteristic
113#19098795C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098783C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098780C2211yescharacteristic, complemented
120#19098780C2211yescharacteristic, complemented
121#19098780C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098776C2211yescharacteristic
124#19098776C2211yescharacteristic
125#19098776C2211yescharacteristic
126#19098776C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098775C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098771C2211yescharacteristic, complemented
131#19098769C2211yescharacteristic, complemented
132#19098768C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic, complemented
137#19098761C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic, complemented
139#19098761C2211yescharacteristic, complemented
140#19098757C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic
142#19098756C2211yescharacteristic
143#19098756C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic
145#19098723C2211yescharacteristic, complemented
146#19098722C2211yescharacteristic, complemented
147#19098717C2211yescharacteristic, complemented
148#19098714C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic, complemented
151#19098708C2211yescharacteristic
152#19098706C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic
154#19098700C2211yescharacteristic, complemented
155#19098698C2211yescharacteristic, complemented
156#19098697C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic
158#19098692C2211yescharacteristic, complemented
159C8×Dic158C2211yescharacteristic, complemented
160#19098673C2211yescharacteristic, complemented
161#19098673C2211yescharacteristic, complemented
162#19098667C2211yescharacteristic, complemented
163#19098664C2211yescharacteristic, complemented
164Q16×Dic79C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166#19098654C2211yescharacteristic, complemented
167#19098654C2211yescharacteristic, complemented
168C4×D632C2211yescharacteristic, complemented
169D8×Dic79C2211yescharacteristic
170D8×Dic79C2211yescharacteristic, complemented
171#19098639C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098635C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098613C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098586C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098565C2211yescharacteristic, complemented
184#19098565C2211yescharacteristic, complemented
185#19098564C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187C2×#14579082C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
190#546×C79C2211yescharacteristic
191#546×C79C2211yescharacteristic, complemented
192#495×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic
198#452×C79C2211yescharacteristic, complemented
199#447×C79C2211yescharacteristic
200#447×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic
202#436×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79C2311yescharacteristic
210C23×Dic79—21no—
211#14579187—42no—
212#14579185—42no—
213#14579181—42no—
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224SD16×D79—42no—
225C2×D632C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579159C2311yescharacteristic
237#14579157—21no—
238#14579157C2311yescharacteristic
239#14579157C2311yescharacteristic
240#14579157C2311yescharacteristic
241#14579156—21no—
242#14579156—21no—
243#14579156D411yescharacteristic
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154D411yescharacteristic
252#14579152—21no—
253#14579152—21no—
254#14579152C2311yescharacteristic
255#14579152C2311yescharacteristic
256#14579152C2311yescharacteristic
257#14579151—21no—
258#14579151D411yescharacteristic
259#14579150C2311yescharacteristic
260#14579150C2311yescharacteristic
261#14579148—21no—
262#14579148C2311yescharacteristic
263#14579148C2311yescharacteristic
264#14579148C2311yescharacteristic
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147D411yescharacteristic
270#14579145—21no—
271#14579145—21no—
272#14579145—21no—
273#14579145—21no—
274#14579145—21no—
275#14579145—21no—
276#14579145—21no—
277#14579145—21no—
278#14579145—21no—
279#14579145D411yescharacteristic
280#14579144—21no—
281#14579144—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142D411yescharacteristic
293#14579141—21no—
294#14579140—21no—
295#14579140—21no—
296#14579140—21no—
297#14579140C2311yescharacteristic
298#14579140C2311yescharacteristic
299#14579139—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138D411yescharacteristic
306#14579137C2311yescharacteristic
307#14579136C2311yescharacteristic
308#14579135—21no—
309#14579135C2311yescharacteristic
310#14579135C2311yescharacteristic
311#14579134—21no—
312#14579134—21no—
313#14579134—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133D411yescharacteristic
323#14579132—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132—21no—
327#14579132—21no—
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579130—21no—
331#14579130—21no—
332#14579130—21no—
333#14579130—21no—
334#14579129—21no—
335#14579129—21no—
336Q8×Dic79C2311yescharacteristic
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339C4×Dic158C2311yescharacteristic
340#14579126C2311yescharacteristic
341#14579126C2311yescharacteristic
342C4×D316C2311yescharacteristic
343C4×D316C2311yescharacteristic
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79—21no—
347D4×Dic79—21no—
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79C2311yescharacteristic
351D4×Dic79C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356#14579123—21no—
357#14579123C2311yescharacteristic
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79C2311yescharacteristic
363C4×C22⋊D79C2311yescharacteristic
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120—21no—
370#14579120—21no—
371#14579120C2311yescharacteristic
372#14579119—21no—
373#14579119C2311yescharacteristic
374#14579118C2311yescharacteristic
375#14579117—21no—
376#14579117—21no—
377C2×C4⋊Dic79—21no—
378C2×C4⋊Dic79—21no—
379C2×C4⋊Dic79C2311yescharacteristic
380C2×C4⋊Dic79C2311yescharacteristic
381C4⋊C4×D79—21no—
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C2×(C2×D79)⋊C4—21no—
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443AGL(1,ℤ/8)×C79—42no—
444AGL(1,ℤ/8)×C79—42no—
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C2×M16×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#123×C79—21no—
459#123×C79—21no—
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic
462#121×C79—21no—
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#120×C79—21no—
467#120×C79—21no—
468C4×D4×C79C2311yescharacteristic
469C4×D4×C79C2311yescharacteristic
470C4×D4×C79C2311yescharacteristic
471C2×C22⋊C4×C79—21no—
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929624—41no—
488#11929624—41no—
489#11929623—41no—
490#11929623—41no—
491#11929623—82no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497Q8×D79—41no—
498Q8×D79—41no—
499C2×D316—21no—
500C2×D316C2411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—82no—
517C2×C22⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—22no—
520D4×D79—41no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—82no—
531C22×Dic79C2×D411yescharacteristic
532C22×Dic79C2×D411yescharacteristic
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79C2411yescharacteristic
540#11929614—41no—
541#11929614—41no—
542#11929613—41no—
543#11929613—41no—
544#11929612—22no—
545#11929612—22no—
546#11929612—41no—
547#11929612—41no—
548#11929611—41no—
549#11929611—41no—
550D632—41no—
551#11929609—22no—
552#11929609—41no—
553#11929609—41no—
554#11929609—41no—
555#11929608—41no—
556#11929607—41no—
557C2×C79⋊C8—41no—
558C2×C79⋊C8C2411yescharacteristic
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C8×D79—41no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2×D411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
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⋊Dic79C2×D411yescharacteristic
614C22⋊Dic79C2×D411yescharacteristic
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
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C24×C79—21no—
645C24×C79—21no—
646#41×C79—22no—
647#41×C79—41no—
648#41×C79—41no—
649#41×C79—41no—
650C2×Q8×C79C2411yescharacteristic
651C2×Q8×C79C2411yescharacteristic
652C2×D4×C79—22no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—41no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79C2411yescharacteristic
672C22×C4×C79C2411yescharacteristic
673Q16×C79—41no—
674SD16×C79—22no—
675SD16×C79—41no—
676SD16×C79—41no—
677SD16×C79—41no—
678D8×C79—22no—
679D8×C79—22no—
680D8×C79—41no—
681D8×C79—41no—
682M16×C79—41no—
683M16×C79—41no—
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79C2×D411yescharacteristic
704C22⋊C4×C79C2×D411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—42no—
711C23×C79—42no—
712C23×C79—81no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79C22×D411yescharacteristic
717C23×C79C22×D411yescharacteristic
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—42no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—41no—
736D4×C79—42no—
737D4×C79—42no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79H(5,𝔽2)12yes—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—42no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—41no—
761C22⋊D79—41no—
762C22⋊D79—42no—
763C22⋊D79—42no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—41no—
783C2×Dic79—41no—
784C2×Dic79—42no—
785C2×Dic79—81no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79—81no—
789C2×Dic79—81no—
790C2×Dic79—81no—
791C2×Dic79—81no—
792C2×Dic79—81no—
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799C2×Dic79C22×D411yescharacteristic
800D316—21no—
801D316—21no—
802D316—21no—
803D316—21no—
804D316—81no—
805C4×D79—21no—
806C4×D79—21no—
807C4×D79—81no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
813Dic158—21no—
814Dic158—21no—
815Dic158—21no—
816Dic158—21no—
817Dic158—41no—
818Dic158—81no—
819Dic158—81no—
820C8×C79—21no—
821C8×C79—21no—
822C8×C79—21no—
823C8×C79—21no—
824C79⋊C8—21no—
825C79⋊C8—21no—
826C79⋊C8—21no—
827C79⋊C8—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—22no—
833C22×C79—21no—
834C22×C79—21no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—84no—
847C22×C79—162no—
848C22×C79C23×D411yescharacteristic
849C2×D79—21no—
850C2×D79—21no—
851C2×D79—21no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867C4×C79C2×H(5,𝔽2)11yescharacteristic
868C4×C79#58511yescharacteristic
869Dic79—21no—
870Dic79—21no—
871Dic79—21no—
872Dic79—21no—
873Dic79—21no—
874Dic79—21no—
875Dic79—21no—
876Dic79—41no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—42no—
884C2×C79—41no—
885C2×C79—41no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79—81no—
889C2×C79#348811yescharacteristic
890C2×C79#358411yescharacteristic
891C2×C79#358511yescharacteristic
892D79—41no—
893D79—81no—
894D79—81no—
895#3562—791no—
896#3513—791no—
897#3401—791no—
898#3396—791no—
899#3370—791no—
900#3360—791no—
901#3330—791no—
902#3327—791no—
903#3326—791no—
904#3317—791no—
905#3306—791no—
906#3297—791no—
907#3282—791no—
908#3274—791no—
909#3273—791no—
910#3273D7911yescharacteristic, complemented
911#3267—791no—
912#3265—791no—
913#3260—791no—
914#3257—791no—
915#3256—791no—
916#3225—791no—
917#3220—791no—
918#3212—791no—
919#3122—791no—
920#3120—791no—
921#3105—791no—
922#3045—791no—
923#3042—791no—
924#3036—791no—
925#2993—791no—
926C79#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—791no—
928C2×AGL(1,ℤ/8)—791no—
929C2×AGL(1,ℤ/8)C2×D7911yescharacteristic
930C2×AGL(1,ℤ/8)C2×D7911yescharacteristic
931C2×#135—791no—
932C22×SD16—791no—
933#562—1581no—
934#560—1581no—
935#559—791no—
936#559—791no—
937#556—791no—
938#554—791no—
939#553—791no—
940#553—1581no—
941#553—1581no—
942#552—791no—
943#551—1581no—
944#551—1581no—
945#551—1581no—
946#550—791no—
947#548—791no—
948#548—791no—
949#547—791no—
950#547—791no—
951#546—791no—
952#546—791no—
953#546—1581no—
954#546C2×D7911yescharacteristic
955#546C2×D7911yescharacteristic, complemented
956D42—791no—
957#542—791no—
958#541—791no—
959#540—791no—
960#540—791no—
961#540—1581no—
962#539—1581no—
963#539—1581no—
964#538—1581no—
965#538—1581no—
966#538—1581no—
967#536—791no—
968#535—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#525—1581no—
974C2×#123—1581no—
975#520—791no—
976#518—791no—
977C2×C4×D4—791no—
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495C2×D7911yescharacteristic, complemented
983#493—791no—
984#490—791no—
985#489—791no—
986#488—791no—
987#488—791no—
988#488—791no—
989#487—791no—
990#484—791no—
991#484—791no—
992#483—791no—
993#482—791no—
994#482—791no—
995#481—791no—
996#479—791no—
997#479—791no—
998#479—791no—
999#479—791no—
1000#478—791no—
1001#478—791no—
1002#478—791no—
1003#478—791no—
1004#476—791no—
1005#474—791no—
1006#470—791no—
1007#469—791no—
1008#469—791no—
1009#468—791no—
1010#468—791no—
1011#468—791no—
1012#468C2×D7911yescharacteristic, complemented
1013#468C2×D7911yescharacteristic, complemented
1014#466—791no—
1015#465—791no—
1016#465—791no—
1017#465—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#463—791no—
1022#463—791no—
1023#463—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#463—791no—
1031#463—791no—
1032#463C2×D7911yescharacteristic
1033#463C2×D7911yescharacteristic, complemented
1034#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461—791no—
1039#461—791no—
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460—791no—
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459—791no—
1048#452—791no—
1049#452—791no—
1050#452—791no—
1051#452C2×D7911yescharacteristic
1052#452C2×D7911yescharacteristic, complemented
1053#451—791no—
1054#450—791no—
1055#449—791no—
1056#449—791no—
1057#449—791no—
1058#449—791no—
1059#449—791no—
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447C2×D7911yescharacteristic
1065#447C2×D7911yescharacteristic, complemented
1066#446—791no—
1067C8×Q8—791no—
1068#442—791no—
1069#442—791no—
1070#441—791no—
1071#440—791no—
1072C4×Q16—791no—
1073C4×SD16—791no—
1074C4×SD16—791no—
1075C4×SD16—791no—
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8C2×D7911yescharacteristic
1080#436—791no—
1081#436—791no—
1082#436C2×D7911yescharacteristic, complemented
1083#435—791no—
1084#435—791no—
1085C8×D4—791no—
1086#433—791no—
1087#433—791no—
1088#431—791no—
1089#424—791no—
1090#424—791no—
1091#423—791no—
1092#419—791no—
1093#417—791no—
1094#417—791no—
1095#417—791no—
1096#416—791no—
1097C2×#102—791no—
1098C2×#41—791no—
1099C2×#41—791no—
1100C2×#41—791no—
1101C2×#41—1581no—
1102C2×#41C22×D7911yescharacteristic
1103C2×#41C22×D7911yescharacteristic
1104C22×Q8—791no—
1105C22×D4—791no—
1106C22×D4—1581no—
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—1581no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—3162no—
1113AGL(1,ℤ/8)—3162no—
1114#135—3162no—
1115C2×Q16—791no—
1116C2×Q16—791no—
1117C2×Q16C22×D7911yescharacteristic
1118C2×SD16—3162no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16—791no—
1127C2×SD16C22×D7911yescharacteristic
1128C2×SD16C22×D7911yescharacteristic
1129C2×SD16C22×D7911yescharacteristic
1130C2×SD16C22×D7911yescharacteristic
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8—791no—
1135C2×D8—791no—
1136C2×D8C22×D7911yescharacteristic
1137C2×D8C22×D7911yescharacteristic
1138C2×D8C22×D7911yescharacteristic
1139C2×D8C22×D7911yescharacteristic
1140C2×M16—791no—
1141C2×M16—791no—
1142C2×M16C22×D7911yescharacteristic
1143C2×M16C22×D7911yescharacteristic
1144C22×C8—791no—
1145C22×C8—791no—
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8—791no—
1149#127—791no—
1150#127—791no—
1151#127—791no—
1152#127—1581no—
1153#126—791no—
1154#126—791no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#126—1581no—
1163#126—1581no—
1164#125—791no—
1165#125—791no—
1166#125—791no—
1167#125—791no—
1168#125—1581no—
1169#125—1581no—
1170#125—1581no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—791no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124C22×D7911yescharacteristic
1183#124C22×D7911yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—791no—
1187#123—791no—
1188#123—1581no—
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—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8C22×D7911yescharacteristic
1224C22⋊Q8C22×D7911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—791no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—791no—
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#121—1581no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121—1581no—
1250#121C22×D7911yescharacteristic
1251#121C22×D7911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—1581no—
1255#120—1581no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259#120—1581no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8—791no—
1264C4×Q8—791no—
1265C4×Q8—791no—
1266C4×D4—791no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—1581no—
1278C4×D4—1581no—
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×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4C22×D7911yescharacteristic
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296#117—791no—
1297#117—791no—
1298#117—791no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304C2×C4⋊C4—791no—
1305C2×C4⋊C4—791no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4—1581no—
1308C2×C4⋊C4—1581no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—1581no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C42—791no—
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107C22×D7911yescharacteristic
1321#106—791no—
1322#106—791no—
1323#106—791no—
1324#106—791no—
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8—791no—
1332C4⋊C8—791no—
1333C4⋊C8—791no—
1334C4⋊C8C22×D7911yescharacteristic
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103—791no—
1340#103—791no—
1341#103—791no—
1342#103—791no—
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103C22×D7911yescharacteristic
1348#103C22×D7911yescharacteristic
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102C22×D7911yescharacteristic
1364#102C22×D7911yescharacteristic
1365#102C22×D7911yescharacteristic
1366#102C22×D7911yescharacteristic
1367C22⋊C8—791no—
1368C22⋊C8—791no—
1369C22⋊C8—791no—
1370C22⋊C8—791no—
1371C22⋊C8C22×D7911yescharacteristic
1372C22⋊C8C22×D7911yescharacteristic
1373#97—791no—
1374#97—791no—
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8C22×D7911yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—1581no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3161no—
1387#41—3161no—
1388#41—3161no—
1389#41—3161no—
1390#41—3161no—
1391#41—3161no—
1392#41—6322no—
1393C2×Q8—3161no—
1394C2×Q8—3161no—
1395C2×Q8—791no—
1396C2×Q8—791no—
1397C2×Q8—791no—
1398C2×Q8—1581no—
1399C2×Q8—1581no—
1400C2×Q8C23×D7911yescharacteristic
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—3161no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—791no—
1416C2×D4—791no—
1417C2×D4—6322no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1582no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4D4×D7911yescharacteristic
1435C2×D4C23×D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—791no—
1444C22×C4—791no—
1445C22×C4—791no—
1446C22×C4—6322no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4—1581no—
1457C22×C4—1581no—
1458C22×C4—1581no—
1459C22×C4—1581no—
1460C22×C4—1581no—
1461C22×C4—1581no—
1462C22×C4C23×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—41no—
1465Q16—3161no—
1466Q16—3161no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—3161no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—3161no—
1477SD16—1582no—
1478SD16—1582no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—3161no—
1484D8—3161no—
1485D8—3161no—
1486D8—3161no—
1487D8—1582no—
1488M16—41no—
1489M16—41no—
1490M16—3161no—
1491M16—3161no—
1492C2×C8—3161no—
1493C2×C8—3161no—
1494C2×C8—791no—
1495C2×C8—791no—
1496C2×C8—791no—
1497C2×C8—791no—
1498C2×C8C23×D7911yescharacteristic
1499C2×C8C23×D7911yescharacteristic
1500C2×C8C23×D7911yescharacteristic
1501C2×C8C23×D7911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—791no—
1505C4⋊C4—791no—
1506C4⋊C4—791no—
1507C4⋊C4—791no—
1508C4⋊C4—791no—
1509C4⋊C4—791no—
1510C4⋊C4—791no—
1511C4⋊C4—791no—
1512C4⋊C4—791no—
1513C4⋊C4—791no—
1514C4⋊C4—791no—
1515C4⋊C4—791no—
1516C4⋊C4—791no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4—1581no—
1525C4⋊C4—1581no—
1526C4⋊C4—1581no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4D4×D7911yescharacteristic
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—791no—
1552C22⋊C4—791no—
1553C22⋊C4—791no—
1554C22⋊C4—791no—
1555C22⋊C4—791no—
1556C22⋊C4—791no—
1557C22⋊C4—791no—
1558C22⋊C4—791no—
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⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4D4×D7911yescharacteristic
1588C22⋊C4D4×D7911yescharacteristic
1589C42—791no—
1590C42—791no—
1591C42—791no—
1592C42—791no—
1593C42—791no—
1594C42—1581no—
1595C42—1581no—
1596C42—1581no—
1597C42—1581no—
1598C42—1581no—
1599C42—1581no—
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—42no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—3162no—
1612C23—791no—
1613C23—6321no—
1614C23—6321no—
1615C23—1581no—
1616C23—1581no—
1617C23C2×D4×D7911yescharacteristic
1618C23C2×D4×D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—3161no—
1624Q8—6321no—
1625Q8—6321no—
1626Q8—1581no—
1627Q8—1581no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—3162no—
1645D4—3162no—
1646D4—3161no—
1647D4—3161no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—6321no—
1660D4—6321no—
1661D4—1581no—
1662D4—1581no—
1663D4—1581no—
1664D4—1581no—
1665D4#1457920612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—3162no—
1679C2×C4—3161no—
1680C2×C4—3161no—
1681C2×C4—791no—
1682C2×C4—791no—
1683C2×C4—791no—
1684C2×C4—791no—
1685C2×C4—791no—
1686C2×C4—791no—
1687C2×C4—791no—
1688C2×C4—6321no—
1689C2×C4—6321no—
1690C2×C4—6321no—
1691C2×C4—6321no—
1692C2×C4—6321no—
1693C2×C4—6321no—
1694C2×C4—6321no—
1695C2×C4—6321no—
1696C2×C4—6321no—
1697C2×C4—6321no—
1698C2×C4—6321no—
1699C2×C4—6321no—
1700C2×C4—6321no—
1701C2×C4—6321no—
1702C2×C4—1581no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4—1581no—
1710C2×C4C2×D4×D7911yescharacteristic
1711C2×C4C2×D4×D7911yescharacteristic
1712C2×C4C2×D4×D7911yescharacteristic
1713C2×C4C2×D4×D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1581no—
1720C8—1581no—
1721C8—1581no—
1722C8—1581no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—84no—
1742C22—162no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—3161no—
1748C22—3161no—
1749C22—1581no—
1750C22—1581no—
1751C22—1581no—
1752C22—12642no—
1753C22C22×D4×D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—3161no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—1581no—
1769C4—1581no—
1770C4—1581no—
1771C4—1581no—
1772C4—1581no—
1773C4—1581no—
1774C4—1581no—
1775C4C2×#1457920611yescharacteristic
1776C4#1909939811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—3161no—
1784C2—6321no—
1785C2—6321no—
1786C2#2377706011yescharacteristic
1787C2#2377816811yescharacteristic
1788C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3273C2
socleC22×C79C23×D4
hypercenter#3273D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #23777982C2semidirect
2. #23777341C2semidirect
3. #23776463C2semidirect
4. #23776409C2semidirect
5. #23776150C2semidirect
6. #23776047C2semidirect
7. #23775706C2semidirect
8. #23775661C2semidirect
9. #23775648C2semidirect
10. #23775521C2semidirect
11. #23775361C2semidirect
12. #23775254C2semidirect
13. #23775105C2semidirect
14. #23775018C2semidirect
15. #23775005C2semidirect
16. #23774921C2semidirect
17. #23774889C2semidirect
18. #23774842C2semidirect
19. #23774808C2semidirect
20. #23774797C2semidirect
21. #23774502C2semidirect
22. #23774446C2semidirect
23. #23774379C2semidirect
24. #23773640C2semidirect
25. #23773615C2semidirect
26. #23773442C2semidirect
27. #23772943C2semidirect
28. #23772910C2semidirect
29. #23772861C2semidirect
30. #23772546C2semidirect
31. C79×#3273C2semidirect
32. C2×#14579187C22semidirect
35. C2×SD16×D79C22semidirect
38. #19099295C22semidirect
39. #19099295C22semidirect
40. #19099283C22semidirect
41. #19099270C22semidirect
45. #19099255C22semidirect
50. #19099223C22semidirect
52. #19099218C22semidirect
54. #19099207C22semidirect
57. D4×C22⋊D79C22semidirect
58. #19099182C22semidirect
59. #19099173C22semidirect
62. #19099164C22semidirect
68. #19099133C22semidirect
69. #19099130C22semidirect
70. #19099109C22semidirect
71. #19099099C22semidirect
72. #19099094C22semidirect
77. #19099035C22semidirect
78. C2×D4×Dic79C22semidirect
79. #19098958C22semidirect
81. #19098948C22semidirect
82. #19098944C22semidirect
84. #19098926C22semidirect
85. #19098922C22semidirect
86. #19098919C22semidirect
87. #19098916C22semidirect
88. #19098916C22semidirect
89. #19098914C22semidirect
90. #19098899C22semidirect
91. #19098899C22semidirect
92. #19098891C22semidirect
93. #19098890C22semidirect
94. #19098885C22semidirect
95. #19098879C22semidirect
96. #19098872C22semidirect
97. #19098872C22semidirect
98. #19098869C22semidirect
99. #19098869C22semidirect
100. #19098866C22semidirect
101. #19098861C22semidirect
102. #19098861C22semidirect
103. #19098861C22semidirect
104. #19098853C22semidirect
105. #19098844C22semidirect
106. #19098819C22semidirect
107. #19098815C22semidirect
109. #19098809C22semidirect
110. #19098809C22semidirect
111. #19098806C22semidirect
113. #19098795C22semidirect
114. #19098794C22semidirect
115. #19098790C22semidirect
116. #19098788C22semidirect
117. #19098783C22semidirect
118. #19098783C22semidirect
119. #19098780C22semidirect
120. #19098780C22semidirect
121. #19098780C22semidirect
122. #19098777C22semidirect
126. #19098776C22semidirect
127. #19098776C22semidirect
128. #19098775C22semidirect
129. #19098775C22semidirect
130. #19098771C22semidirect
131. #19098769C22semidirect
132. #19098768C22semidirect
133. #19098767C22semidirect
134. #19098766C22semidirect
135. #19098766C22semidirect
136. #19098762C22semidirect
137. #19098761C22semidirect
138. #19098761C22semidirect
139. #19098761C22semidirect
140. #19098757C22semidirect
143. #19098756C22semidirect
145. #19098723C22semidirect
146. #19098722C22semidirect
147. #19098717C22semidirect
148. #19098714C22semidirect
149. #19098710C22semidirect
150. #19098710C22semidirect
152. #19098706C22semidirect
154. #19098700C22semidirect
155. #19098698C22semidirect
156. #19098697C22semidirect
158. #19098692C22semidirect
159. C8×Dic158C22semidirect
160. #19098673C22semidirect
161. #19098673C22semidirect
162. #19098667C22semidirect
163. #19098664C22semidirect
164. Q16×Dic79C22semidirect
165. #19098654C22semidirect
166. #19098654C22semidirect
167. #19098654C22semidirect
168. C4×D632C22semidirect
170. D8×Dic79C22semidirect
171. #19098639C22semidirect
172. #19098638C22semidirect
173. #19098635C22semidirect
174. #19098632C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
178. #19098613C22semidirect
179. #19098591C22semidirect
180. #19098588C22semidirect
181. #19098586C22semidirect
182. #19098570C22semidirect
183. #19098565C22semidirect
184. #19098565C22semidirect
185. #19098564C22semidirect
186. #19098556C22semidirect
187. C2×#14579082C22semidirect
191. #546×C79C22semidirect
192. #495×C79C22semidirect
193. #468×C79C22semidirect
194. #468×C79C22semidirect
196. #463×C79C22semidirect
198. #452×C79C22semidirect
200. #447×C79C22semidirect
202. #436×C79C22semidirect
910. #3273D79semidirect
926. C79#62027semidirect
955. #546C2×D79semidirect
982. #495C2×D79semidirect
1012. #468C2×D79semidirect
1013. #468C2×D79semidirect
1033. #463C2×D79semidirect
1052. #452C2×D79semidirect
1065. #447C2×D79semidirect
1082. #436C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779822
#237773412
#237764632
#237764092
#237761502
#237760472
#237757062
#237756612
#237756482
#237755212
#237753612
#237752542
#237751052
#237750182
#237750052
#237749212
#237748892
#237748422
#237748082
#237747972
#237745022
#237744462
#237743792
#237736402
#237736152
#237734422
#237729432
#237729102
#237728612
#237725462
C79×#32732
#6202779