Finite Group Databasebeta

← #35173259

Subgroups — #35173259

Order 20224.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777443C211yesmaximal, characteristic, complemented
2#41×C22⋊D79C211yesmaximal, characteristic, complemented
3#23775530C211yesmaximal, characteristic, complemented
4#23775500C211yesmaximal, characteristic, complemented
5#23775470C211yesmaximal, characteristic, complemented
6#23775447C211yesmaximal, characteristic, complemented
7#23775440C211yesmaximal, characteristic, complemented
8#23775417C211yesmaximal, characteristic, complemented
9#23775387C211yesmaximal, characteristic, complemented
10#23775357C211yesmaximal, characteristic, complemented
11#23774989C211yesmaximal, characteristic, complemented
12#23774970C211yesmaximal, characteristic, complemented
13#23774970C211yesmaximal, characteristic, complemented
14#23774959C211yesmaximal, characteristic, complemented
15#23774948C211yesmaximal, characteristic, complemented
16#23774929C211yesmaximal, characteristic, complemented
17#23774910C211yesmaximal, characteristic, complemented
18#23774895C211yesmaximal, characteristic, complemented
19#23774441C211yesmaximal, characteristic, complemented
20#23774408C211yesmaximal, characteristic, complemented
21#23774241C211yesmaximal, characteristic, complemented
22#23774228C211yesmaximal, characteristic, complemented
23#23774193C211yesmaximal, characteristic, complemented
24#23774181C211yesmaximal, characteristic, complemented
25#23773555C211yesmaximal, characteristic, complemented
26#23773510C211yesmaximal, characteristic, complemented
27#23772657C211yesmaximal, characteristic, complemented
28#23772643C211yesmaximal, characteristic, complemented
29#23772618C211yesmaximal, characteristic, complemented
30#23772426C211yesmaximal, characteristic, complemented
31C2×#452×C79C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#14579193C2211yescharacteristic, complemented
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579190C2211yescharacteristic, complemented
36C2×#14579188C2211yescharacteristic, complemented
37C2×#14579181C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39#19099284C2211yescharacteristic, complemented
40#19099267—21no—
41#19099248C2211yescharacteristic
42#19099247C2211yescharacteristic, complemented
43#19099240—21no—
44#19099239—21no—
45#19099232C2211yescharacteristic
46Q8×C22⋊D79C2211yescharacteristic
47Q8×C22⋊D79C2211yescharacteristic, complemented
48#19099224C2211yescharacteristic
49#19099224C2211yescharacteristic
50#19099223C2211yescharacteristic, complemented
51#19099220C2211yescharacteristic
52#19099215C2211yescharacteristic, complemented
53#19099214C2211yescharacteristic, complemented
54#19099212—21no—
55#19099212C2211yescharacteristic
56#19099207—21no—
57#19099207C2211yescharacteristic
58#19099203—21no—
59#19099201—21no—
60#19099201C2211yescharacteristic
61D4×C22⋊D79—21no—
62D4×C22⋊D79C2211yescharacteristic
63#19099183—21no—
64#19099160—21no—
65#19099159—21no—
66#19099115C2211yescharacteristic, complemented
67#19099109—21no—
68#19099109C2211yescharacteristic
69#19099099C2211yescharacteristic, complemented
70#19099076C2211yescharacteristic, complemented
71#19099074—21no—
72#19099074C2211yescharacteristic
73#19099074C2211yescharacteristic, complemented
74#19099070—21no—
75#19099070C2211yescharacteristic
76C22⋊Q8×D79C2211yescharacteristic, complemented
77#19099044—21no—
78#41×Dic79C2211yescharacteristic
79C2×C4×C22⋊D79—21no—
80C2×C4×C22⋊D79C2211yescharacteristic
81#19098956C2211yescharacteristic, complemented
82#19098956C2211yescharacteristic, complemented
83#19098954C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098930C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098924C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098905C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098903C2211yescharacteristic, complemented
92#19098901C2211yescharacteristic, complemented
93#19098901C2211yescharacteristic, complemented
94#19098897C2211yescharacteristic, complemented
95#19098893C2211yescharacteristic, complemented
96#19098888C2211yescharacteristic, complemented
97#19098888C2211yescharacteristic, complemented
98#19098886C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098876C2211yescharacteristic, complemented
101#19098872C2211yescharacteristic, complemented
102#19098865C2211yescharacteristic, complemented
103#19098856C2211yescharacteristic, complemented
104#19098851C2211yescharacteristic, complemented
105#19098820C2211yescharacteristic, complemented
106#19098818C2211yescharacteristic, complemented
107#19098818C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098812C2211yescharacteristic, complemented
110#19098808C2211yescharacteristic, complemented
111#19098806C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic, complemented
113#19098804C2211yescharacteristic, complemented
114#19098802C2211yescharacteristic, complemented
115#19098802C2211yescharacteristic, complemented
116#19098799C2211yescharacteristic, complemented
117#19098794C2211yescharacteristic, complemented
118#19098794C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098792C2211yescharacteristic, complemented
121#19098787C2211yescharacteristic, complemented
122#19098787C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098781C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098772C2211yescharacteristic, complemented
128#19098771C2211yescharacteristic, complemented
129#19098771C2211yescharacteristic, complemented
130#19098766C2211yescharacteristic, complemented
131#19098762C2211yescharacteristic, complemented
132#19098761C2211yescharacteristic, complemented
133#19098727C2211yescharacteristic, complemented
134#19098727C2211yescharacteristic, complemented
135#19098725C2211yescharacteristic
136#19098725C2211yescharacteristic, complemented
137#19098724C2211yescharacteristic, complemented
138#19098724C2211yescharacteristic, complemented
139#19098723C2211yescharacteristic, complemented
140#19098723C2211yescharacteristic, complemented
141#19098722C2211yescharacteristic, complemented
142#19098720C2211yescharacteristic, complemented
143#19098719C2211yescharacteristic, complemented
144#19098719C2211yescharacteristic, complemented
145#19098717C2211yescharacteristic, complemented
146#19098717C2211yescharacteristic, complemented
147#19098715C2211yescharacteristic, complemented
148#19098714C2211yescharacteristic, complemented
149#19098712C2211yescharacteristic, complemented
150#19098711C2211yescharacteristic, complemented
151#19098710C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098709C2211yescharacteristic, complemented
154#19098708C2211yescharacteristic
155#19098708C2211yescharacteristic, complemented
156#19098707C2211yescharacteristic, complemented
157#19098702C2211yescharacteristic, complemented
158#19098702C2211yescharacteristic, complemented
159#19098700C2211yescharacteristic, complemented
160#19098697C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098670C2211yescharacteristic, complemented
163#19098670C2211yescharacteristic, complemented
164#19098667C2211yescharacteristic, complemented
165#19098666C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167#19098664C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098634C2211yescharacteristic
170#19098634C2211yescharacteristic
171#19098634C2211yescharacteristic, complemented
172#19098634C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176#19098631C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098570C2211yescharacteristic, complemented
180#19098566C2211yescharacteristic, complemented
181#19098563C2211yescharacteristic, complemented
182#19098561C2211yescharacteristic, complemented
183#19098559C2211yescharacteristic, complemented
184#19098559C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
188C22×#41×C79C2211yescharacteristic
189C22×Q16×C79C2211yescharacteristic, complemented
190C22×SD16×C79C2211yescharacteristic, complemented
191C2×C22⋊Q8×C79C2211yescharacteristic, complemented
192#452×C79C2211yescharacteristic
193#452×C79C2211yescharacteristic
194#452×C79C2211yescharacteristic, complemented
195#452×C79C2211yescharacteristic, complemented
196#452×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200C2×#103×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624C2311yescharacteristic
208C2×#11929624C2311yescharacteristic
209C2×#11929623—21no—
210C2×#11929623C2311yescharacteristic
211#41×D79—42no—
212#41×D79—42no—
213C2×Q8×D79C2311yescharacteristic
214C2×Q8×D79C2311yescharacteristic
215C22×C22⋊D79—21no—
216C22×C22⋊D79D411yescharacteristic
217C2×D4×D79—21no—
218C2×D4×D79C2311yescharacteristic
219C22×C4×D79—21no—
220C22×C4×D79C2311yescharacteristic
221#14579193—42no—
222#14579193—42no—
223#14579190—42no—
224#14579188—42no—
225#14579181—42no—
226#14579181—42no—
227C2×Dic316C2311yescharacteristic
228C2×#11929614C2311yescharacteristic
229C2×#11929614C2311yescharacteristic
230C2×#11929614C2311yescharacteristic
231C2×#11929614C2311yescharacteristic
232C2×#11929613C2311yescharacteristic
233C2×#11929613C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238C2×#11929611C2311yescharacteristic
239C2×#11929611C2311yescharacteristic
240C2×D632C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929607C2311yescharacteristic
244C2×#11929607C2311yescharacteristic
245C2×#11929607C2311yescharacteristic
246C2×#11929607C2311yescharacteristic
247C22×C79⋊C8C2311yescharacteristic
248C22×C79⋊C8C2311yescharacteristic
249#14579160C2311yescharacteristic
250#14579159—21no—
251#14579159—21no—
252#14579159C2311yescharacteristic
253#14579159C2311yescharacteristic
254#14579157—21no—
255#14579157C2311yescharacteristic
256#14579156—21no—
257#14579156—21no—
258#14579156—21no—
259#14579154—21no—
260#14579154—21no—
261#14579152C2311yescharacteristic
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579150—21no—
266#14579150—21no—
267#14579150C2311yescharacteristic
268#14579150C2311yescharacteristic
269#14579148—21no—
270#14579148C2311yescharacteristic
271#14579147—21no—
272#14579147—21no—
273#14579146—21no—
274#14579146—21no—
275#14579146—21no—
276#14579145—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579144—21no—
281#14579144—21no—
282#14579144—21no—
283#14579143—21no—
284#14579143—21no—
285#14579142—21no—
286#14579142—21no—
287#14579142—21no—
288#14579141C2311yescharacteristic
289#14579140—21no—
290#14579140—21no—
291#14579140—21no—
292#14579140C2311yescharacteristic
293#14579140C2311yescharacteristic
294#14579140C2311yescharacteristic
295#14579140C2311yescharacteristic
296#14579139—21no—
297#14579139—21no—
298#14579139—21no—
299#14579138—21no—
300#14579138—21no—
301#14579137—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137—21no—
305#14579137C2311yescharacteristic
306#14579137C2311yescharacteristic
307#14579137C2311yescharacteristic
308#14579137C2311yescharacteristic
309#14579136C2311yescharacteristic
310#14579135—21no—
311#14579135—21no—
312#14579135—21no—
313#14579135C2311yescharacteristic
314#14579135C2311yescharacteristic
315#14579135C2311yescharacteristic
316#14579135C2311yescharacteristic
317#14579134—21no—
318#14579134—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579132—21no—
326#14579132—21no—
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579131—21no—
330#14579130—21no—
331#14579130—21no—
332#14579130—21no—
333#14579130—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341#14579126—21no—
342#14579126—21no—
343#14579126C2311yescharacteristic
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79C2311yescharacteristic
347D4×Dic79C2311yescharacteristic
348#14579123—21no—
349#14579123—21no—
350#14579123C2311yescharacteristic
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79—21no—
361C4×C22⋊D79—21no—
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79D411yescharacteristic
366C4×C22⋊D79D411yescharacteristic
367C4×C22⋊D79D411yescharacteristic
368C4×C22⋊D79D411yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370C4×C22⋊D79C2311yescharacteristic
371C4×C22⋊D79C2311yescharacteristic
372C4×C22⋊D79C2311yescharacteristic
373(C22⋊D79)⋊C4—21no—
374(C22⋊D79)⋊C4—21no—
375#14579120—21no—
376#14579120—21no—
377#14579120C2311yescharacteristic
378#14579120C2311yescharacteristic
379#14579119—21no—
380#14579119—21no—
381#14579119C2311yescharacteristic
382#14579117—21no—
383C2×Dic79⋊C4—21no—
384C2×Dic79⋊C4D411yescharacteristic
385C4⋊C4×D79—21no—
386C4⋊C4×D79—21no—
387C4⋊C4×D79C2311yescharacteristic
388C2×C22⋊Dic79—21no—
389C2×C22⋊Dic79D411yescharacteristic
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4D411yescharacteristic
392C22⋊C4×D79—21no—
393C2×C4×Dic79—21no—
394C2×C4×Dic79C2311yescharacteristic
395#14579095C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579085C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439#14579071C2311yescharacteristic
440#14579071C2311yescharacteristic
441#14579071C2311yescharacteristic
442#14579071C2311yescharacteristic
443C2×#41×C79—21no—
444C2×#41×C79—21no—
445C2×#41×C79—42no—
446C2×#41×C79—42no—
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C2×#41×C79C2311yescharacteristic
450C2×#41×C79C2311yescharacteristic
451C22×Q8×C79C2311yescharacteristic
452C22×Q8×C79C2311yescharacteristic
453C22×D4×C79—21no—
454C22×D4×C79C2311yescharacteristic
455C23×C4×C79—21no—
456C23×C4×C79C2311yescharacteristic
457C2×Q16×C79—42no—
458C2×Q16×C79C2311yescharacteristic
459C2×Q16×C79C2311yescharacteristic
460C2×Q16×C79C2311yescharacteristic
461C2×Q16×C79C2311yescharacteristic
462C2×SD16×C79—42no—
463C2×SD16×C79C2311yescharacteristic
464C2×SD16×C79C2311yescharacteristic
465C2×SD16×C79C2311yescharacteristic
466C2×SD16×C79C2311yescharacteristic
467C22×C8×C79C2311yescharacteristic
468C22×C8×C79C2311yescharacteristic
469C22⋊Q8×C79—21no—
470C22⋊Q8×C79—21no—
471C22⋊Q8×C79C2311yescharacteristic
472C22⋊Q8×C79C2311yescharacteristic
473C22⋊Q8×C79C2311yescharacteristic
474C22⋊Q8×C79C2311yescharacteristic
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C22⋊C4×C79—21no—
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79C2×D411yescharacteristic
492#11929625—22no—
493#11929625—41no—
494#11929625—41no—
495#11929625—41no—
496#11929624—44no—
497#11929624—41no—
498#11929624—41no—
499#11929624—44no—
500#11929624—41no—
501#11929624—41no—
502#11929623—22no—
503#11929623—41no—
504#11929623—44no—
505C2×Dic158—21no—
506C2×Dic158—21no—
507C2×Dic158—21no—
508C2×Dic158C2411yescharacteristic
509C2×Dic158C2411yescharacteristic
510Q8×D79—22no—
511Q8×D79—41no—
512Q8×D79—41no—
513Q8×D79—41no—
514C2×D316—21no—
515C2×D316—21no—
516C2×D316—21no—
517C2×D316C2411yescharacteristic
518C2×D316C2411yescharacteristic
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—42no—
532C2×C22⋊D79—44no—
533C2×C22⋊D79C2×D411yescharacteristic
534C2×C22⋊D79C2×D411yescharacteristic
535C2×C22⋊D79C2×D411yescharacteristic
536C2×C22⋊D79C2×D411yescharacteristic
537D4×D79—22no—
538D4×D79—41no—
539D4×D79—44no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—21no—
543C22×Dic79C2×D411yescharacteristic
544C22×Dic79C2×D411yescharacteristic
545C22×Dic79C2×D411yescharacteristic
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—41no—
555C2×C4×D79—41no—
556C2×C4×D79—44no—
557C2×C4×D79C2×D411yescharacteristic
558C2×C4×D79C2×D411yescharacteristic
559C2×C4×D79C2411yescharacteristic
560C2×C4×D79C2411yescharacteristic
561Dic316—41no—
562#11929614—22no—
563#11929614—41no—
564#11929614—41no—
565#11929614—41no—
566#11929613—41no—
567#11929613—41no—
568#11929612—22no—
569#11929612—41no—
570#11929611—22no—
571#11929611—41no—
572#11929611—41no—
573#11929611—41no—
574D632—41no—
575#11929609—22no—
576#11929609—41no—
577#11929607—41no—
578#11929607—41no—
579#11929607—41no—
580#11929607—41no—
581C2×C79⋊C8—41no—
582C2×C79⋊C8—41no—
583C2×C79⋊C8C2411yescharacteristic
584C2×C79⋊C8C2411yescharacteristic
585C2×C79⋊C8C2411yescharacteristic
586C2×C79⋊C8C2411yescharacteristic
587C4⋊Dic79—21no—
588C4⋊Dic79—21no—
589C4⋊Dic79—21no—
590C4⋊Dic79—21no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79C2411yescharacteristic
594C4⋊Dic79C2411yescharacteristic
595C4⋊Dic79C2411yescharacteristic
596C4⋊Dic79C2411yescharacteristic
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4—21no—
606Dic79⋊C4—21no—
607Dic79⋊C4—21no—
608Dic79⋊C4—21no—
609Dic79⋊C4—21no—
610Dic79⋊C4—21no—
611Dic79⋊C4—21no—
612Dic79⋊C4—21no—
613Dic79⋊C4C2×D411yescharacteristic
614Dic79⋊C4C2×D411yescharacteristic
615Dic79⋊C4C2×D411yescharacteristic
616Dic79⋊C4C2×D411yescharacteristic
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79—21no—
626C22⋊Dic79—21no—
627C22⋊Dic79—21no—
628C22⋊Dic79—21no—
629C22⋊Dic79C2×D411yescharacteristic
630C22⋊Dic79C2×D411yescharacteristic
631C22⋊Dic79C2×D411yescharacteristic
632C22⋊Dic79C2×D411yescharacteristic
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4—21no—
643(C2×D79)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4C2×D411yescharacteristic
650(C2×D79)⋊C4C2×D411yescharacteristic
651(C2×D79)⋊C4C2×D411yescharacteristic
652(C2×D79)⋊C4C2×D411yescharacteristic
653C4×Dic79—21no—
654C4×Dic79—21no—
655C4×Dic79—21no—
656C4×Dic79—21no—
657C4×Dic79—21no—
658C4×Dic79—21no—
659C4×Dic79—21no—
660C4×Dic79—21no—
661C4×Dic79C2×D411yescharacteristic
662C4×Dic79C2×D411yescharacteristic
663C4×Dic79C2411yescharacteristic
664C4×Dic79C2411yescharacteristic
665C24×C79—21no—
666C24×C79C2×D411yescharacteristic
667#41×C79—22no—
668#41×C79—22no—
669#41×C79—22no—
670#41×C79—22no—
671#41×C79—41no—
672#41×C79—41no—
673#41×C79—41no—
674#41×C79—41no—
675#41×C79—44no—
676#41×C79—44no—
677C2×Q8×C79—21no—
678C2×Q8×C79—21no—
679C2×Q8×C79—22no—
680C2×Q8×C79—41no—
681C2×Q8×C79—41no—
682C2×Q8×C79—41no—
683C2×Q8×C79C2411yescharacteristic
684C2×Q8×C79C2411yescharacteristic
685C2×Q8×C79C2411yescharacteristic
686C2×Q8×C79C2411yescharacteristic
687C2×D4×C79—21no—
688C2×D4×C79—22no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—41no—
694C2×D4×C79—44no—
695C2×D4×C79C2411yescharacteristic
696C2×D4×C79C2411yescharacteristic
697C22×C4×C79—21no—
698C22×C4×C79—21no—
699C22×C4×C79—21no—
700C22×C4×C79—21no—
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—41no—
705C22×C4×C79—41no—
706C22×C4×C79—44no—
707C22×C4×C79C2×D411yescharacteristic
708C22×C4×C79C2×D411yescharacteristic
709C22×C4×C79C2×D411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2411yescharacteristic
712C22×C4×C79C2411yescharacteristic
713Q16×C79—22no—
714Q16×C79—22no—
715Q16×C79—41no—
716Q16×C79—41no—
717SD16×C79—22no—
718SD16×C79—22no—
719SD16×C79—41no—
720SD16×C79—41no—
721C2×C8×C79—41no—
722C2×C8×C79—41no—
723C2×C8×C79C2411yescharacteristic
724C2×C8×C79C2411yescharacteristic
725C2×C8×C79C2411yescharacteristic
726C2×C8×C79C2411yescharacteristic
727C4⋊C4×C79—21no—
728C4⋊C4×C79—21no—
729C4⋊C4×C79—21no—
730C4⋊C4×C79—21no—
731C4⋊C4×C79—21no—
732C4⋊C4×C79C2411yescharacteristic
733C4⋊C4×C79C2411yescharacteristic
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79—21no—
738C23×C79—21no—
739C23×C79—22no—
740C23×C79—21no—
741C23×C79—41no—
742C23×C79—41no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—81no—
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—41no—
752C22×D79—41no—
753C22×D79—41no—
754C22×D79—42no—
755C22×D79—42no—
756C22×D79—81no—
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—21no—
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—42no—
767Q8×C79—81no—
768Q8×C79H(5,𝔽2)12yes—
769D4×C79—24no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—21no—
773D4×C79—42no—
774D4×C79—42no—
775D4×C79—42no—
776D4×C79—42no—
777D4×C79H(5,𝔽2)12yes—
778C2×C4×C79—24no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—41no—
792C2×C4×C79—41no—
793C2×C4×C79—41no—
794C2×C4×C79—42no—
795C2×C4×C79—42no—
796C2×C4×C79—42no—
797C2×C4×C79—42no—
798C2×C4×C79—42no—
799C2×C4×C79—81no—
800C2×C4×C79C22×D411yescharacteristic
801C2×C4×C79C22×D411yescharacteristic
802C2×C4×C79C22×D411yescharacteristic
803C2×C4×C79C2511yescharacteristic
804C22⋊D79—22no—
805C22⋊D79—22no—
806C22⋊D79—41no—
807C22⋊D79—41no—
808C22⋊D79—42no—
809C22⋊D79—42no—
810C22⋊D79—42no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—81no—
817C22⋊D79—81no—
818C22⋊D79—81no—
819C22⋊D79—81no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—41no—
827C2×Dic79—41no—
828C2×Dic79—41no—
829C2×Dic79—42no—
830C2×Dic79—42no—
831C2×Dic79—81no—
832C2×Dic79C22×D411yescharacteristic
833C2×Dic79C22×D411yescharacteristic
834C2×Dic79C22×D411yescharacteristic
835C2×Dic79C22×D411yescharacteristic
836C2×Dic79C22×D411yescharacteristic
837C2×Dic79C22×D411yescharacteristic
838D316—21no—
839D316—21no—
840D316—21no—
841D316—21no—
842D316—42no—
843D316—42no—
844D316—81no—
845C4×D79—21no—
846C4×D79—21no—
847C4×D79—21no—
848C4×D79—21no—
849C4×D79—41no—
850C4×D79—41no—
851C4×D79—42no—
852C4×D79—42no—
853C4×D79—42no—
854C4×D79—42no—
855C4×D79—42no—
856C4×D79—81no—
857C4×D79—81no—
858C4×D79—81no—
859Dic158—21no—
860Dic158—21no—
861Dic158—21no—
862Dic158—21no—
863Dic158—42no—
864Dic158—42no—
865Dic158—81no—
866C8×C79—21no—
867C8×C79—21no—
868C8×C79—21no—
869C8×C79—21no—
870C79⋊C8—21no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—22no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—41no—
886C22×C79—41no—
887C22×C79—41no—
888C22×C79—82no—
889C22×C79—84no—
890C22×C79#57512yes—
891C22×C79C23×D411yescharacteristic
892C2×D79—21no—
893C2×D79—21no—
894C2×D79—21no—
895C2×D79—21no—
896C2×D79—21no—
897C2×D79—21no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—82no—
905C2×D79—84no—
906C4×C79—21no—
907C4×C79—22no—
908C4×C79—21no—
909C4×C79—21no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79—41no—
915C4×C79C2×H(5,𝔽2)11yescharacteristic
916C4×C79C2×H(5,𝔽2)11yescharacteristic
917Dic79—21no—
918Dic79—21no—
919Dic79—21no—
920Dic79—21no—
921Dic79—21no—
922Dic79—21no—
923Dic79—41no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79—41no—
929#61580—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—42no—
933C2×C79—41no—
934C2×C79—81no—
935C2×C79#348411yescharacteristic
936C2×C79C2×#57511yescharacteristic
937C2×C79#358611yescharacteristic
938D79—41no—
939D79—41no—
940D79—81no—
941D79—81no—
942#3520—791no—
943D4×#41—791no—
944#3317—791no—
945#3315—791no—
946#3313—791no—
947#3312—791no—
948#3311—791no—
949#3310—791no—
950#3308—791no—
951#3306—791no—
952#3271—791no—
953#3270—791no—
954#3270—791no—
955#3269—791no—
956#3269—791no—
957#3267—791no—
958#3266—791no—
959#3265—791no—
960#3219—791no—
961#3216—791no—
962#3197—791no—
963#3196—791no—
964#3191—791no—
965#3190—791no—
966#3116—791no—
967#3111—791no—
968#3007—791no—
969#3005—791no—
970#3002—791no—
971C2×#452D7911yescharacteristic, complemented
972#2973—791no—
973C79#6158011yescharacteristic, complemented, Sylow
974C22×#41—791no—
975C22×#41C2×D7911yescharacteristic
976C2×#137—791no—
977C2×#137—791no—
978C2×#137—791no—
979C2×AGL(1,ℤ/8)—791no—
980C2×#135—791no—
981C2×#135—791no—
982C22×Q16C2×D7911yescharacteristic, complemented
983C22×SD16C2×D7911yescharacteristic, complemented
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550—791no—
991D4×Q8—791no—
992D4×Q8—791no—
993#548—791no—
994#548—791no—
995#548—791no—
996#548—791no—
997#547—791no—
998#547—791no—
999#547—791no—
1000#547—1581no—
1001#546—791no—
1002#546—791no—
1003#546—1581no—
1004#546—1581no—
1005#546—1581no—
1006D42—791no—
1007D42—1581no—
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—791no—
1013#532—1581no—
1014#529—791no—
1015#525—791no—
1016#525—791no—
1017#525—791no—
1018#525—791no—
1019#525—1581no—
1020#525—1581no—
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1023#520—1581no—
1024C4×#41—791no—
1025C2×C4×D4—791no—
1026C2×C4×D4—1581no—
1027#497—791no—
1028#497—791no—
1029#497—791no—
1030#496—791no—
1031#491—791no—
1032#490—791no—
1033#489—791no—
1034#489—791no—
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485—791no—
1039#485—791no—
1040#484—791no—
1041#483—791no—
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#481—791no—
1046#480—791no—
1047#479—791no—
1048#478—791no—
1049#477—791no—
1050#476—791no—
1051#470—791no—
1052#470—791no—
1053#470—791no—
1054#469—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#468—791no—
1059#467—791no—
1060#467—791no—
1061#467—791no—
1062#466—791no—
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#465—791no—
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#463—791no—
1071#463—791no—
1072#463—791no—
1073#462—791no—
1074#462—791no—
1075#462—791no—
1076#461—791no—
1077#460—791no—
1078#460—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—791no—
1088#452C2×D7911yescharacteristic
1089#452C2×D7911yescharacteristic
1090#452C2×D7911yescharacteristic, complemented
1091#452C2×D7911yescharacteristic, complemented
1092#452C2×D7911yescharacteristic, complemented
1093#452C2×D7911yescharacteristic, complemented
1094#452C2×D7911yescharacteristic, complemented
1095#452C2×D7911yescharacteristic, complemented
1096#451—791no—
1097#451—791no—
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#450—791no—
1102#450—791no—
1103#450—791no—
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#448—791no—
1112#448—791no—
1113#448—791no—
1114#447—791no—
1115#442—791no—
1116#441—791no—
1117#441—791no—
1118#441—791no—
1119#440—791no—
1120#440—791no—
1121#440—791no—
1122#440—791no—
1123#435—791no—
1124#435—791no—
1125#435—791no—
1126#435—791no—
1127#435—791no—
1128#435—791no—
1129#435—791no—
1130#435—791no—
1131#432—791no—
1132#432—791no—
1133#419—791no—
1134#418—791no—
1135#417—791no—
1136#417—791no—
1137#416—791no—
1138#416—791no—
1139C2×#103C2×D7911yescharacteristic, complemented
1140C2×#102C2×D7911yescharacteristic, complemented
1141#407—791no—
1142#407—791no—
1143C2×C22⋊C8—791no—
1144C2×C22⋊C8C2×D7911yescharacteristic, complemented
1145C2×#41—21no—
1146C2×#41—21no—
1147C2×#41—42no—
1148C2×#41—42no—
1149C2×#41—3162no—
1150C2×#41—3162no—
1151C2×#41—791no—
1152C2×#41—791no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—791no—
1156C2×#41—1581no—
1157C2×#41—1581no—
1158C2×#41—1581no—
1159C2×#41C22×D7911yescharacteristic
1160C2×#41C22×D7911yescharacteristic
1161C2×#41C22×D7911yescharacteristic
1162C2×#41C22×D7911yescharacteristic
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8C22×D7911yescharacteristic
1166C22×Q8C22×D7911yescharacteristic
1167C22×D4—21no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—1581no—
1171C22×D4—1581no—
1172C22×D4C22×D7911yescharacteristic
1173C23×C4—21no—
1174C23×C4—791no—
1175C23×C4—1581no—
1176C23×C4C22×D7911yescharacteristic
1177#137—3162no—
1178#137—3162no—
1179#137—3162no—
1180AGL(1,ℤ/8)—3162no—
1181#135—3162no—
1182#135—3162no—
1183C2×Q16—42no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16C22×D7911yescharacteristic
1190C2×Q16C22×D7911yescharacteristic
1191C2×Q16C22×D7911yescharacteristic
1192C2×Q16C22×D7911yescharacteristic
1193C2×SD16—42no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16C22×D7911yescharacteristic
1203C2×SD16C22×D7911yescharacteristic
1204C2×SD16C22×D7911yescharacteristic
1205C2×SD16C22×D7911yescharacteristic
1206C2×D8—791no—
1207C2×D8—791no—
1208C2×D8—791no—
1209C2×M16—791no—
1210C2×M16—791no—
1211C2×M16—791no—
1212C2×M16—791no—
1213C22×C8—791no—
1214C22×C8—791no—
1215C22×C8C22×D7911yescharacteristic
1216C22×C8C22×D7911yescharacteristic
1217C4⋊Q8—791no—
1218C4⋊Q8—791no—
1219C4⋊Q8—791no—
1220C4⋊Q8—1581no—
1221C4⋊Q8—1581no—
1222#127—791no—
1223#127—1581no—
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—791no—
1234#124—791no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124—1581no—
1240#124—1581no—
1241#123—1581no—
1242#123—1581no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—1581no—
1268C22⋊Q8—1581no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282C22⋊Q8C22×D7911yescharacteristic
1283#121—791no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—791no—
1289#121—791no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#120—1581no—
1304#120—1581no—
1305#120—1581no—
1306#120—1581no—
1307#120—1581no—
1308#120—1581no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—791no—
1315C4×Q8—791no—
1316C4×Q8—1581no—
1317C4×Q8—1581no—
1318C4×D4—791no—
1319C4×D4—791no—
1320C4×D4—791no—
1321C4×D4—791no—
1322C4×D4—791no—
1323C4×D4—791no—
1324C4×D4—791no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—791no—
1329C4×D4—1581no—
1330C4×D4—1581no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4—1581no—
1348C4×D4—1581no—
1349#117—791no—
1350#117—791no—
1351#117—791no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117—1581no—
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4C22×D7911yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—791no—
1366C2×C22⋊C4—791no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4—1581no—
1369C2×C22⋊C4—1581no—
1370C2×C42—791no—
1371C2×C42—1581no—
1372#107—791no—
1373#107—791no—
1374#107—791no—
1375#107—791no—
1376#106—791no—
1377#106—791no—
1378#106—791no—
1379#106—791no—
1380C4⋊C8—791no—
1381C4⋊C8—791no—
1382C4⋊C8—791no—
1383C4⋊C8—791no—
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103C22×D7911yescharacteristic
1399#103C22×D7911yescharacteristic
1400#103C22×D7911yescharacteristic
1401#103C22×D7911yescharacteristic
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102C22×D7911yescharacteristic
1413#102C22×D7911yescharacteristic
1414#102C22×D7911yescharacteristic
1415#102C22×D7911yescharacteristic
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8C22×D7911yescharacteristic
1425C22⋊C8C22×D7911yescharacteristic
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428#97—791no—
1429#97—791no—
1430#97—791no—
1431#97—791no—
1432C24—21no—
1433C24—791no—
1434C24—1581no—
1435C24D4×D7911yescharacteristic
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—22no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—44no—
1445#41—44no—
1446#41—3164no—
1447#41—3161no—
1448#41—3161no—
1449#41—3161no—
1450#41—3161no—
1451#41—3164no—
1452#41—3164no—
1453#41—3161no—
1454#41—3161no—
1455#41—3161no—
1456#41—3161no—
1457#41—1582no—
1458#41—1582no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—3161no—
1466C2×Q8—3161no—
1467C2×Q8—3161no—
1468C2×Q8—791no—
1469C2×Q8—791no—
1470C2×Q8—1581no—
1471C2×Q8—1581no—
1472C2×Q8—1581no—
1473C2×Q8—1582no—
1474C2×Q8C23×D7911yescharacteristic
1475C2×Q8C23×D7911yescharacteristic
1476C2×Q8C23×D7911yescharacteristic
1477C2×Q8C23×D7911yescharacteristic
1478C2×D4—21no—
1479C2×D4—22no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—41no—
1485C2×D4—44no—
1486C2×D4—3164no—
1487C2×D4—3164no—
1488C2×D4—3162no—
1489C2×D4—3161no—
1490C2×D4—791no—
1491C2×D4—791no—
1492C2×D4—791no—
1493C2×D4—791no—
1494C2×D4—791no—
1495C2×D4—791no—
1496C2×D4—1581no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4—1581no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1582no—
1509C2×D4—1581no—
1510C2×D4—1581no—
1511C2×D4—1581no—
1512C2×D4C23×D7911yescharacteristic
1513C2×D4C23×D7911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—41no—
1522C22×C4—41no—
1523C22×C4—44no—
1524C22×C4—3164no—
1525C22×C4—3161no—
1526C22×C4—3161no—
1527C22×C4—791no—
1528C22×C4—791no—
1529C22×C4—791no—
1530C22×C4—791no—
1531C22×C4—791no—
1532C22×C4—791no—
1533C22×C4—791no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4—1581no—
1540C22×C4—1581no—
1541C22×C4—1581no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4D4×D7911yescharacteristic
1546C22×C4D4×D7911yescharacteristic
1547C22×C4D4×D7911yescharacteristic
1548C22×C4C23×D7911yescharacteristic
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—22no—
1552Q16—22no—
1553Q16—41no—
1554Q16—41no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—3161no—
1558Q16—3161no—
1559Q16—1582no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—3161no—
1565SD16—3161no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—3161no—
1569SD16—3161no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—3161no—
1573D8—3161no—
1574D8—1582no—
1575M16—3161no—
1576M16—3161no—
1577M16—3161no—
1578M16—3161no—
1579C2×C8—41no—
1580C2×C8—41no—
1581C2×C8—3161no—
1582C2×C8—3161no—
1583C2×C8—791no—
1584C2×C8—791no—
1585C2×C8—791no—
1586C2×C8—791no—
1587C2×C8C23×D7911yescharacteristic
1588C2×C8C23×D7911yescharacteristic
1589C2×C8C23×D7911yescharacteristic
1590C2×C8C23×D7911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—791no—
1597C4⋊C4—791no—
1598C4⋊C4—791no—
1599C4⋊C4—791no—
1600C4⋊C4—791no—
1601C4⋊C4—791no—
1602C4⋊C4—791no—
1603C4⋊C4—791no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4C23×D7911yescharacteristic
1627C4⋊C4C23×D7911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—791no—
1633C22⋊C4—791no—
1634C22⋊C4—791no—
1635C22⋊C4—791no—
1636C22⋊C4—791no—
1637C22⋊C4—791no—
1638C22⋊C4—791no—
1639C22⋊C4—791no—
1640C22⋊C4—1581no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C42—791no—
1669C42—791no—
1670C42—791no—
1671C42—791no—
1672C42—1581no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42—1581no—
1677C42—1581no—
1678C42—1581no—
1679C42—1581no—
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—41no—
1684C23—41no—
1685C23—42no—
1686C23—42no—
1687C23—81no—
1688C23—3162no—
1689C23—3161no—
1690C23—3161no—
1691C23—3161no—
1692C23—3162no—
1693C23—791no—
1694C23—791no—
1695C23—6321no—
1696C23—1581no—
1697C23—1581no—
1698C23C2×D4×D7911yescharacteristic
1699C23C2×D4×D7911yescharacteristic
1700C23C2×D4×D7911yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—42no—
1709Q8—81no—
1710Q8—3162no—
1711Q8—3162no—
1712Q8—6321no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8#1457920612yes—
1718D4—24no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—3162no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3162no—
1731D4—3162no—
1732D4—3162no—
1733D4—3162no—
1734D4—3162no—
1735D4—3161no—
1736D4—3161no—
1737D4—3162no—
1738D4—6321no—
1739D4—6321no—
1740D4—6321no—
1741D4—6321no—
1742D4—6321no—
1743D4—1582no—
1744D4—1582no—
1745D4—1581no—
1746D4—1581no—
1747D4—1581no—
1748D4—1581no—
1749D4#1457920612yes—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—81no—
1772C2×C4—3162no—
1773C2×C4—3162no—
1774C2×C4—3162no—
1775C2×C4—3161no—
1776C2×C4—3161no—
1777C2×C4—3162no—
1778C2×C4—3162no—
1779C2×C4—3162no—
1780C2×C4—3162no—
1781C2×C4—3161no—
1782C2×C4—3161no—
1783C2×C4—3161no—
1784C2×C4—791no—
1785C2×C4—791no—
1786C2×C4—791no—
1787C2×C4—791no—
1788C2×C4—791no—
1789C2×C4—791no—
1790C2×C4—6321no—
1791C2×C4—6321no—
1792C2×C4—6321no—
1793C2×C4—6321no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4—1581no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4—1581no—
1804C2×C4C2×D4×D7911yescharacteristic
1805C2×C4C2×D4×D7911yescharacteristic
1806C2×C4C2×D4×D7911yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1581no—
1813C8—1581no—
1814C8—1581no—
1815C8—1581no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—22no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—82no—
1831C22—84no—
1832C22—3161no—
1833C22—3161no—
1834C22—3161no—
1835C22—3161no—
1836C22—3161no—
1837C22—3161no—
1838C22—6322no—
1839C22—6324no—
1840C22—1581no—
1841C22—1581no—
1842C22—1581no—
1843C22—1581no—
1844C22—1581no—
1845C22—1581no—
1846C22#1909936012yes—
1847C22C22×D4×D7911yescharacteristic
1848C4—21no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—3161no—
1858C4—3161no—
1859C4—3161no—
1860C4—3161no—
1861C4—3161no—
1862C4—3161no—
1863C4—1581no—
1864C4—1581no—
1865C4—1581no—
1866C4—1581no—
1867C4—1581no—
1868C4—1581no—
1869C4C2×#1457920611yescharacteristic
1870C4C2×#1457920611yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—42no—
1875C2—81no—
1876C2—3161no—
1877C2—3161no—
1878C2—6321no—
1879C2—6321no—
1880C2#2377702911yescharacteristic
1881C2C2×#1909936011yescharacteristic
1882C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC2×#452×C79C2
socleC22×C79C23×D4
hypercenterC2×#452D79
hypocenterC79#61580
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#452

Complements

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

NH ≅ G/Ntype
1. #23777443C2semidirect
2. #41×C22⋊D79C2semidirect
3. #23775530C2semidirect
4. #23775500C2semidirect
5. #23775470C2semidirect
6. #23775447C2semidirect
7. #23775440C2semidirect
8. #23775417C2semidirect
9. #23775387C2semidirect
10. #23775357C2semidirect
11. #23774989C2semidirect
12. #23774970C2semidirect
13. #23774970C2semidirect
14. #23774959C2semidirect
15. #23774948C2semidirect
16. #23774929C2semidirect
17. #23774910C2semidirect
18. #23774895C2semidirect
19. #23774441C2semidirect
20. #23774408C2semidirect
21. #23774241C2semidirect
22. #23774228C2semidirect
23. #23774193C2semidirect
24. #23774181C2semidirect
25. #23773555C2semidirect
26. #23773510C2semidirect
27. #23772657C2semidirect
28. #23772643C2semidirect
29. #23772618C2semidirect
30. #23772426C2semidirect
31. C2×#452×C79C2semidirect
33. C2×#14579193C22semidirect
34. C2×#14579193C22semidirect
35. C2×#14579190C22semidirect
36. C2×#14579188C22semidirect
37. C2×#14579181C22semidirect
38. C2×#14579181C22semidirect
39. #19099284C22semidirect
42. #19099247C22semidirect
47. Q8×C22⋊D79C22semidirect
50. #19099223C22semidirect
52. #19099215C22semidirect
53. #19099214C22semidirect
66. #19099115C22semidirect
69. #19099099C22semidirect
70. #19099076C22semidirect
73. #19099074C22semidirect
76. C22⋊Q8×D79C22semidirect
81. #19098956C22semidirect
82. #19098956C22semidirect
83. #19098954C22semidirect
84. #19098949C22semidirect
85. #19098930C22semidirect
86. #19098926C22semidirect
87. #19098924C22semidirect
88. #19098921C22semidirect
89. #19098905C22semidirect
90. #19098905C22semidirect
91. #19098903C22semidirect
92. #19098901C22semidirect
93. #19098901C22semidirect
94. #19098897C22semidirect
95. #19098893C22semidirect
96. #19098888C22semidirect
97. #19098888C22semidirect
98. #19098886C22semidirect
99. #19098880C22semidirect
100. #19098876C22semidirect
101. #19098872C22semidirect
102. #19098865C22semidirect
103. #19098856C22semidirect
104. #19098851C22semidirect
105. #19098820C22semidirect
106. #19098818C22semidirect
107. #19098818C22semidirect
108. #19098815C22semidirect
109. #19098812C22semidirect
110. #19098808C22semidirect
111. #19098806C22semidirect
112. #19098806C22semidirect
113. #19098804C22semidirect
114. #19098802C22semidirect
115. #19098802C22semidirect
116. #19098799C22semidirect
117. #19098794C22semidirect
118. #19098794C22semidirect
119. #19098792C22semidirect
120. #19098792C22semidirect
121. #19098787C22semidirect
122. #19098787C22semidirect
123. #19098783C22semidirect
124. #19098781C22semidirect
125. #19098780C22semidirect
126. #19098777C22semidirect
127. #19098772C22semidirect
128. #19098771C22semidirect
129. #19098771C22semidirect
130. #19098766C22semidirect
131. #19098762C22semidirect
132. #19098761C22semidirect
133. #19098727C22semidirect
134. #19098727C22semidirect
136. #19098725C22semidirect
137. #19098724C22semidirect
138. #19098724C22semidirect
139. #19098723C22semidirect
140. #19098723C22semidirect
141. #19098722C22semidirect
142. #19098720C22semidirect
143. #19098719C22semidirect
144. #19098719C22semidirect
145. #19098717C22semidirect
146. #19098717C22semidirect
147. #19098715C22semidirect
148. #19098714C22semidirect
149. #19098712C22semidirect
150. #19098711C22semidirect
151. #19098710C22semidirect
152. #19098710C22semidirect
153. #19098709C22semidirect
155. #19098708C22semidirect
156. #19098707C22semidirect
157. #19098702C22semidirect
158. #19098702C22semidirect
159. #19098700C22semidirect
160. #19098697C22semidirect
161. #19098672C22semidirect
162. #19098670C22semidirect
163. #19098670C22semidirect
164. #19098667C22semidirect
165. #19098666C22semidirect
166. #19098664C22semidirect
167. #19098664C22semidirect
168. #19098660C22semidirect
171. #19098634C22semidirect
172. #19098634C22semidirect
173. #19098631C22semidirect
174. #19098631C22semidirect
175. #19098631C22semidirect
176. #19098631C22semidirect
177. #19098617C22semidirect
178. #19098617C22semidirect
179. #19098570C22semidirect
180. #19098566C22semidirect
181. #19098563C22semidirect
182. #19098561C22semidirect
183. #19098559C22semidirect
184. #19098559C22semidirect
185. #19098525C22semidirect
186. #19098525C22semidirect
187. C2×C22⋊(C79⋊C8)C22semidirect
189. C22×Q16×C79C22semidirect
190. C22×SD16×C79C22semidirect
191. C2×C22⋊Q8×C79C22semidirect
194. #452×C79C22semidirect
195. #452×C79C22semidirect
196. #452×C79C22semidirect
197. #452×C79C22semidirect
198. #452×C79C22semidirect
199. #452×C79C22semidirect
200. C2×#103×C79C22semidirect
201. C2×#102×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
971. C2×#452D79semidirect
973. C79#61580semidirect
982. C22×Q16C2×D79semidirect
983. C22×SD16C2×D79semidirect
1022. C2×C22⋊Q8C2×D79semidirect
1090. #452C2×D79semidirect
1091. #452C2×D79semidirect
1092. #452C2×D79semidirect
1093. #452C2×D79semidirect
1094. #452C2×D79semidirect
1095. #452C2×D79semidirect
1139. C2×#103C2×D79semidirect
1140. C2×#102C2×D79semidirect
1144. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774432
#41×C22⋊D792
#237755302
#237755002
#237754702
#237754472
#237754402
#237754172
#237753872
#237753572
#237749892
#237749702
#237749592
#237749482
#237749292
#237749102
#237748952
#237744412
#237744082
#237742412
#237742282
#237741932
#237741812
#237735552
#237735102
#237726572
#237726432
#237726182
#237724262
C2×#452×C792
#6158079