Finite Group Databasebeta

← #35181533

Subgroups — #35181533

Order 20224.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777732C211yesmaximal, characteristic, complemented
2#23777341C211yesmaximal, characteristic, complemented
3#23776491C211yesmaximal, characteristic, complemented
4#23776437C211yesmaximal, characteristic, complemented
5#23776150C211yesmaximal, characteristic, complemented
6#23776105C211yesmaximal, characteristic, complemented
7#23775547C211yesmaximal, characteristic, complemented
8#23775425C211yesmaximal, characteristic, complemented
9#23775399C211yesmaximal, characteristic, complemented
10#23775361C211yesmaximal, characteristic, complemented
11#23775241C211yesmaximal, characteristic, complemented
12#23775214C211yesmaximal, characteristic, complemented
13D8×C22⋊D79C211yesmaximal, characteristic, complemented
14#23774940C211yesmaximal, characteristic, complemented
15#23774884C211yesmaximal, characteristic, complemented
16#23774883C211yesmaximal, characteristic, complemented
17#23774881C211yesmaximal, characteristic, complemented
18#23774834C211yesmaximal, characteristic, complemented
19#23774808C211yesmaximal, characteristic, complemented
20#23774753C211yesmaximal, characteristic, complemented
21#23774487C211yesmaximal, characteristic, complemented
22#23774448C211yesmaximal, characteristic, complemented
23#23774421C211yesmaximal, characteristic, complemented
24#23773640C211yesmaximal, characteristic, complemented
25#23773592C211yesmaximal, characteristic, complemented
26#23773539C211yesmaximal, characteristic, complemented
27#23772937C211yesmaximal, characteristic, complemented
28#23772901C211yesmaximal, characteristic, complemented
29C2×#19098756C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31C79×#3280C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic, complemented
33C2×#14579186C2211yescharacteristic, complemented
34C22×#11929609C2211yescharacteristic, complemented
35C2×D8×D79C2211yescharacteristic, complemented
36#19099303—21no—
37#19099301—21no—
38#19099295C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099270C2211yescharacteristic, complemented
41#19099265—21no—
42#19099265C2211yescharacteristic, complemented
43#19099255C2211yescharacteristic, complemented
44#19099239—21no—
45#19099236—21no—
46#19099234C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic, complemented
48#19099217C2211yescharacteristic, complemented
49#19099204C2211yescharacteristic
50#19099203—21no—
51#19099201C2211yescharacteristic, complemented
52#19099200—21no—
53D4×D316C2211yescharacteristic, complemented
54#19099197C2211yescharacteristic, complemented
55D4×C22⋊D79C2211yescharacteristic
56D4×C22⋊D79C2211yescharacteristic, complemented
57#19099195—21no—
58#19099182C2211yescharacteristic, complemented
59#19099166C2211yescharacteristic, complemented
60#19099166C2211yescharacteristic, complemented
61#19099165—21no—
62#19099164C2211yescharacteristic, complemented
63#19099157—21no—
64#19099150—21no—
65#19099131C2211yescharacteristic, complemented
66#19099129—21no—
67#19099127C2211yescharacteristic, complemented
68#19099125—21no—
69#19099123—21no—
70C2×#14579157C2211yescharacteristic, complemented
71#19099099C2211yescharacteristic, complemented
72#19099099C2211yescharacteristic, complemented
73#19099093C2211yescharacteristic
74#19099069—21no—
75C2×#14579145—21no—
76#19099046C2211yescharacteristic, complemented
77#19099035C2211yescharacteristic, complemented
78C2×D4×Dic79C2211yescharacteristic, complemented
79#19098953C2211yescharacteristic, complemented
80#19098949C2211yescharacteristic, complemented
81#19098949C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic, complemented
84#19098926C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098922C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098910C2211yescharacteristic, complemented
90#19098891C2211yescharacteristic, complemented
91#19098890C2211yescharacteristic, complemented
92#19098885C2211yescharacteristic, complemented
93#19098879C2211yescharacteristic, complemented
94#19098877C2211yescharacteristic, complemented
95#19098877C2211yescharacteristic, complemented
96#19098872C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098866C2211yescharacteristic, complemented
99#19098866C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098861C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098853C2211yescharacteristic, complemented
105#19098844C2211yescharacteristic, complemented
106#19098815C2211yescharacteristic, complemented
107#19098814C2211yescharacteristic, complemented
108#19098814C2211yescharacteristic, complemented
109#19098806C2211yescharacteristic, complemented
110#19098799C2211yescharacteristic
111#19098799C2211yescharacteristic, complemented
112#19098796C2211yescharacteristic, complemented
113#19098795C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098794C2211yescharacteristic, complemented
116#19098787C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098780C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic, complemented
124#19098775C2211yescharacteristic, complemented
125#19098775C2211yescharacteristic, complemented
126#19098761C2211yescharacteristic, complemented
127#19098761C2211yescharacteristic, complemented
128#19098761C2211yescharacteristic, complemented
129#19098759C2211yescharacteristic, complemented
130#19098758C2211yescharacteristic, complemented
131#19098757C2211yescharacteristic, complemented
132#19098757C2211yescharacteristic, complemented
133#19098757C2211yescharacteristic, complemented
134#19098756C2211yescharacteristic
135#19098756C2211yescharacteristic, complemented
136#19098756C2211yescharacteristic, complemented
137#19098756C2211yescharacteristic, complemented
138#19098756C2211yescharacteristic, complemented
139#19098756C2211yescharacteristic, complemented
140#19098756C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic, complemented
142#19098756C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098724C2211yescharacteristic, complemented
145#19098713C2211yescharacteristic, complemented
146#19098712C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic, complemented
148#19098708C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098699C2211yescharacteristic, complemented
151#19098699C2211yescharacteristic, complemented
152#19098698C2211yescharacteristic, complemented
153#19098697C2211yescharacteristic
154#19098697C2211yescharacteristic, complemented
155#19098696C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098693C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098673C2211yescharacteristic, complemented
161#19098673C2211yescharacteristic, complemented
162#19098672C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098672C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167#19098664C2211yescharacteristic, complemented
168#19098648C2211yescharacteristic, complemented
169C4×D632C2211yescharacteristic, complemented
170D8×Dic79C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic, complemented
183#19098564C2211yescharacteristic, complemented
184#19098558C2211yescharacteristic, complemented
185C2×#14579083C2211yescharacteristic, complemented
186C2×#14579083C2211yescharacteristic, complemented
187C2×#14579082C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic, complemented
189C22×D8×C79C2211yescharacteristic, complemented
190#546×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic, complemented
192#495×C79C2211yescharacteristic, complemented
193#467×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#450×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929623—21no—
206C22×D316C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C22×C22⋊D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79C2311yescharacteristic
215C2×D4×D79C2311yescharacteristic
216C23×Dic79—21no—
217#14579188—42no—
218#14579186—42no—
219C2×#11929611C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×D632C2311yescharacteristic
224C2×D632C2311yescharacteristic
225C2×D632C2311yescharacteristic
226C2×#11929609—42no—
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235D8×D79—42no—
236C2×#11929608C2311yescharacteristic
237C2×#11929607C2311yescharacteristic
238C22×C79⋊C8C2311yescharacteristic
239C2×C8×D79C2311yescharacteristic
240#14579161C2311yescharacteristic
241#14579158C2311yescharacteristic
242#14579157—21no—
243#14579157—21no—
244#14579157—21no—
245#14579157C2311yescharacteristic
246#14579157C2311yescharacteristic
247#14579157C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579157C2311yescharacteristic
250#14579157C2311yescharacteristic
251#14579156—21no—
252#14579156—21no—
253#14579156—21no—
254#14579156D411yescharacteristic
255#14579154—21no—
256#14579154—21no—
257#14579154D411yescharacteristic
258#14579152—21no—
259#14579152C2311yescharacteristic
260#14579152C2311yescharacteristic
261#14579152C2311yescharacteristic
262#14579151D411yescharacteristic
263#14579150C2311yescharacteristic
264#14579150C2311yescharacteristic
265#14579150C2311yescharacteristic
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147D411yescharacteristic
270#14579146—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#14579145—21no—
280#14579145—21no—
281#14579145—21no—
282#14579145D411yescharacteristic
283#14579144—21no—
284#14579144—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579142D411yescharacteristic
291#14579141—21no—
292#14579140—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138D411yescharacteristic
297#14579137C2311yescharacteristic
298#14579136—21no—
299#14579136—21no—
300#14579136C2311yescharacteristic
301#14579135—21no—
302#14579135—21no—
303#14579135—21no—
304#14579135—21no—
305#14579135—21no—
306#14579135C2311yescharacteristic
307#14579135C2311yescharacteristic
308#14579135C2311yescharacteristic
309#14579135C2311yescharacteristic
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579134—21no—
314#14579134—21no—
315#14579134—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#14579132C2311yescharacteristic
327#14579132C2311yescharacteristic
328#14579131—21no—
329#14579131—21no—
330#14579131—21no—
331#14579131—21no—
332#14579131—21no—
333#14579131—21no—
334#14579130—21no—
335#14579130—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339#14579129—21no—
340#14579129—21no—
341#14579129—21no—
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345C4×Dic158C2311yescharacteristic
346C4×D316C2311yescharacteristic
347C4×D316C2311yescharacteristic
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79—21no—
352D4×Dic79—21no—
353D4×Dic79C2311yescharacteristic
354D4×Dic79C2311yescharacteristic
355D4×Dic79C2311yescharacteristic
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359#14579123C2311yescharacteristic
360#14579123C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79C2311yescharacteristic
365C4×C22⋊D79C2311yescharacteristic
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369(C22⋊D79)⋊C4—21no—
370(C22⋊D79)⋊C4—21no—
371#14579120—21no—
372#14579120C2311yescharacteristic
373#14579119—21no—
374#14579119—21no—
375#14579119C2311yescharacteristic
376#14579118C2311yescharacteristic
377#14579117—21no—
378C2×C4⋊Dic79—21no—
379C2×C4⋊Dic79—21no—
380C2×C4⋊Dic79C2311yescharacteristic
381C2×C4⋊Dic79C2311yescharacteristic
382C2×C22⋊Dic79—21no—
383C2×(C2×D79)⋊C4—21no—
384C2×(C2×D79)⋊C4—21no—
385C22⋊C4×D79—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#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#135×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×D8×C79—42no—
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×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—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929625—41no—
489#11929625—41no—
490#11929624—82no—
491#11929623—82no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—41no—
501C2×D316—41no—
502C2×D316—41no—
503C2×D316—41no—
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
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—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
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—82no—
529C2×C22⋊D79—82no—
530C2×C22⋊D79—82no—
531C2×C22⋊D79—82no—
532C2×C22⋊D79C2×D411yescharacteristic
533C2×C22⋊D79C2×D411yescharacteristic
534D4×D79—22no—
535D4×D79—41no—
536D4×D79—41no—
537D4×D79—41no—
538D4×D79—82no—
539D4×D79—82no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79—82no—
549C22×Dic79C2×D411yescharacteristic
550C22×Dic79C2×D411yescharacteristic
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—21no—
556C2×C4×D79—21no—
557C2×C4×D79C2411yescharacteristic
558#11929611—41no—
559#11929611—41no—
560#11929611—41no—
561#11929611—41no—
562D632—41no—
563D632—41no—
564D632—41no—
565#11929609—22no—
566#11929609—22no—
567#11929609—22no—
568#11929609—41no—
569#11929609—41no—
570#11929609—41no—
571#11929609—41no—
572#11929609—41no—
573#11929608—41no—
574#11929607—41no—
575C2×C79⋊C8—41no—
576C2×C79⋊C8C2411yescharacteristic
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C8×D79—41no—
581C4⋊Dic79—21no—
582C4⋊Dic79—21no—
583C4⋊Dic79—21no—
584C4⋊Dic79—21no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79—21no—
588C4⋊Dic79—21no—
589C4⋊Dic79—21no—
590C4⋊Dic79C2×D411yescharacteristic
591C4⋊Dic79C2×D411yescharacteristic
592C4⋊Dic79C2×D411yescharacteristic
593C4⋊Dic79C2411yescharacteristic
594C4⋊Dic79C2411yescharacteristic
595C4⋊Dic79C2411yescharacteristic
596C4⋊Dic79C2411yescharacteristic
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79C2×D411yescharacteristic
616C22⋊Dic79C2×D411yescharacteristic
617C22⋊Dic79C2×D411yescharacteristic
618C22⋊Dic79C2×D411yescharacteristic
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4C2×D411yescharacteristic
638(C2×D79)⋊C4C2×D411yescharacteristic
639(C2×D79)⋊C4C2×D411yescharacteristic
640(C2×D79)⋊C4C2×D411yescharacteristic
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79C2×D411yescharacteristic
646C4×Dic79C2×D411yescharacteristic
647C4×Dic79C2411yescharacteristic
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C24×C79—21no—
651C24×C79—21no—
652#41×C79—22no—
653#41×C79—41no—
654#41×C79—41no—
655#41×C79—41no—
656C2×Q8×C79C2411yescharacteristic
657C2×Q8×C79C2411yescharacteristic
658C2×D4×C79—22no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—41no—
666C2×D4×C79—41no—
667C2×D4×C79—41no—
668C2×D4×C79C2×D411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C2×D4×C79C2411yescharacteristic
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79—21no—
677C22×C4×C79C2411yescharacteristic
678C22×C4×C79C2411yescharacteristic
679Q16×C79—41no—
680SD16×C79—22no—
681SD16×C79—41no—
682SD16×C79—41no—
683SD16×C79—41no—
684D8×C79—22no—
685D8×C79—22no—
686D8×C79—41no—
687D8×C79—41no—
688C2×C8×C79—41no—
689C2×C8×C79—41no—
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C2×C8×C79C2411yescharacteristic
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79—21no—
709C22⋊C4×C79C2×D411yescharacteristic
710C22⋊C4×C79C2×D411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—42no—
717C23×C79—42no—
718C23×C79—42no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79—81no—
722C23×C79C22×D411yescharacteristic
723C23×C79C22×D411yescharacteristic
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—21no—
728C22×D79—42no—
729C22×D79—42no—
730C22×D79—81no—
731C22×D79—81no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79—81no—
740C22×D79C22×D411yescharacteristic
741Q8×C79—21no—
742Q8×C79—21no—
743Q8×C79—21no—
744Q8×C79—21no—
745D4×C79—22no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—21no—
753D4×C79—42no—
754D4×C79—42no—
755D4×C79—81no—
756D4×C79—81no—
757D4×C79—81no—
758D4×C79—81no—
759D4×C79H(5,𝔽2)12yes—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—42no—
769C2×C4×C79—81no—
770C2×C4×C79—81no—
771C2×C4×C79—81no—
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C2511yescharacteristic
777C22⋊D79—22no—
778C22⋊D79—41no—
779C22⋊D79—42no—
780C22⋊D79—42no—
781C22⋊D79—42no—
782C22⋊D79—42no—
783C22⋊D79—42no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C22⋊D79—81no—
790C22⋊D79—81no—
791C22⋊D79—81no—
792C22⋊D79—81no—
793C22⋊D79—81no—
794C22⋊D79—81no—
795C22⋊D79—81no—
796C22⋊D79—81no—
797C22⋊D79—81no—
798C22⋊D79—81no—
799C2×Dic79—22no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—41no—
805C2×Dic79—42no—
806C2×Dic79—81no—
807C2×Dic79—81no—
808C2×Dic79—81no—
809C2×Dic79—81no—
810C2×Dic79—81no—
811C2×Dic79—81no—
812C2×Dic79—81no—
813C2×Dic79C22×D411yescharacteristic
814C2×Dic79C22×D411yescharacteristic
815C2×Dic79C22×D411yescharacteristic
816C2×Dic79C22×D411yescharacteristic
817C2×Dic79C22×D411yescharacteristic
818C2×Dic79C22×D411yescharacteristic
819C2×Dic79C22×D411yescharacteristic
820D316—21no—
821D316—21no—
822D316—21no—
823D316—21no—
824D316—21no—
825D316—21no—
826D316—21no—
827D316—21no—
828D316—81no—
829D316—81no—
830D316—81no—
831D316—81no—
832D316—81no—
833D316—81no—
834C4×D79—21no—
835C4×D79—21no—
836C4×D79—42no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840C4×D79—81no—
841C4×D79—81no—
842Dic158—41no—
843Dic158—81no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—21no—
855C22×C79—22no—
856C22×C79—21no—
857C22×C79—21no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—84no—
870C22×C79—162no—
871C22×C79#57612yes—
872C22×C79C23×D411yescharacteristic
873C2×D79—21no—
874C2×D79—21no—
875C2×D79—21no—
876C2×D79—41no—
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—162no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—41no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79—41no—
900C4×C79C2×H(5,𝔽2)11yescharacteristic
901C4×C79#58511yescharacteristic
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—21no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—41no—
916C2×C79—42no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—41no—
924D79—81no—
925D79—81no—
926D79—81no—
927D79—81no—
928#3543—791no—
929#3513—791no—
930#3403—791no—
931#3399—791no—
932#3370—791no—
933#3366—791no—
934#3318—791no—
935#3310—791no—
936#3309—791no—
937#3306—791no—
938#3296—791no—
939#3294—791no—
940#3280D7911yescharacteristic, complemented
941D4×D8—791no—
942#3268—791no—
943#3264—791no—
944#3264—791no—
945#3264—791no—
946#3259—791no—
947#3257—791no—
948#3250—791no—
949#3224—791no—
950#3220—791no—
951#3217—791no—
952#3122—791no—
953#3119—791no—
954#3114—791no—
955#3045—791no—
956#3041—791no—
957C2×#459—791no—
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C2×#135C2×D7911yescharacteristic, complemented
963C22×D8—791no—
964C22×D8—791no—
965C22×D8C2×D7911yescharacteristic, complemented
966#560—1581no—
967#560—1581no—
968#559—791no—
969#559—791no—
970#554—791no—
971#553—791no—
972#553—1581no—
973#552—791no—
974#551—1581no—
975#551—1581no—
976#550—791no—
977#550—791no—
978#547—791no—
979#546—791no—
980#546—791no—
981#546—1581no—
982#546—1581no—
983#546C2×D7911yescharacteristic, complemented
984#546C2×D7911yescharacteristic, complemented
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42—1581no—
990#542—791no—
991#540—791no—
992#540—791no—
993#540—791no—
994#540—1581no—
995#539—1581no—
996#538—1581no—
997#535—791no—
998#535—791no—
999#535—1581no—
1000#534—1581no—
1001#534—1581no—
1002C2×#127—791no—
1003#529—791no—
1004#529—791no—
1005#529—791no—
1006#525—1581no—
1007C2×#123—1581no—
1008#520—791no—
1009#518—791no—
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#495C2×D7911yescharacteristic, complemented
1016#493—791no—
1017#490—791no—
1018#490—791no—
1019#490—791no—
1020#489—791no—
1021#488—791no—
1022#486—791no—
1023#483—791no—
1024#482—791no—
1025#482—791no—
1026#481—791no—
1027#480—791no—
1028#480—791no—
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478—791no—
1033#478—791no—
1034#478—791no—
1035#478—791no—
1036#478—791no—
1037#476—791no—
1038#474—791no—
1039#469—791no—
1040#469—791no—
1041#469—791no—
1042#468—791no—
1043#467C2×D7911yescharacteristic, complemented
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466C2×D7911yescharacteristic, complemented
1048#465—791no—
1049#465—791no—
1050#465—791no—
1051#464—791no—
1052#464—791no—
1053#464—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463C2×D7911yescharacteristic, complemented
1062#463C2×D7911yescharacteristic, complemented
1063#460—791no—
1064#460—791no—
1065#460—791no—
1066#459—791no—
1067#459—791no—
1068#459—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459—791no—
1080#459—791no—
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450C2×D7911yescharacteristic, complemented
1085#450C2×D7911yescharacteristic, complemented
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449C2×D7911yescharacteristic, complemented
1090#449C2×D7911yescharacteristic, complemented
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447—791no—
1098#447—791no—
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#440—791no—
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×D8—791no—
1111C4×D8—791no—
1112C4×D8C2×D7911yescharacteristic, complemented
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435—791no—
1117C8×D4—791no—
1118C8×D4C2×D7911yescharacteristic, complemented
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#417—791no—
1127#416—791no—
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102—791no—
1131C2×#41—791no—
1132C2×#41—1581no—
1133C2×#41—1581no—
1134C2×#41C22×D7911yescharacteristic
1135C2×#41C22×D7911yescharacteristic
1136C22×D4—791no—
1137C22×D4—791no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—1581no—
1141C22×D4—1581no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4—1581no—
1146C22×D4C22×D7911yescharacteristic
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—1581no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151#135—42no—
1152C2×Q16C22×D7911yescharacteristic
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16C22×D7911yescharacteristic
1158C2×SD16C22×D7911yescharacteristic
1159C2×SD16C22×D7911yescharacteristic
1160C2×SD16C22×D7911yescharacteristic
1161C2×D8—42no—
1162C2×D8—3162no—
1163C2×D8—3162no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8C22×D7911yescharacteristic
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16—791no—
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8C22×D7911yescharacteristic
1184C22×C8C22×D7911yescharacteristic
1185C4⋊Q8—791no—
1186#127—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—791no—
1192#127—791no—
1193#127—1581no—
1194#127—1581no—
1195#127—1581no—
1196#126—791no—
1197#126—791no—
1198#126—1581no—
1199#126—1581no—
1200#126—1581no—
1201#126—1581no—
1202#126—1581no—
1203#125—791no—
1204#125—791no—
1205#125—791no—
1206#125—791no—
1207#125—1581no—
1208#124—791no—
1209#124—791no—
1210#124—791no—
1211#124—791no—
1212#124—1581no—
1213#124—1581no—
1214#124—1581no—
1215#124C22×D7911yescharacteristic
1216#124C22×D7911yescharacteristic
1217#123—21no—
1218#123—21no—
1219#123—791no—
1220#123—791no—
1221#123—1581no—
1222#123—1581no—
1223#123—1581no—
1224#123—1581no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237#123—1581no—
1238#123—1581no—
1239#123—1581no—
1240C22⋊Q8—791no—
1241C22⋊Q8—791no—
1242C22⋊Q8—1581no—
1243C22⋊Q8—1581no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8C22×D7911yescharacteristic
1248C22⋊Q8C22×D7911yescharacteristic
1249#121—21no—
1250#121—21no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—791no—
1257#121—791no—
1258#121—791no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121—1581no—
1280#121—1581no—
1281#121C22×D7911yescharacteristic
1282#121C22×D7911yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8—791no—
1302C4×Q8—791no—
1303C4×D4—791no—
1304C4×D4—791no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—1581no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—791no—
1332#117—791no—
1333#117—791no—
1334#117—1581no—
1335#117—1581no—
1336#117—1581no—
1337#117—1581no—
1338C2×C4⋊C4—791no—
1339C2×C4⋊C4—791no—
1340C2×C4⋊C4—1581no—
1341C2×C4⋊C4—1581no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42—791no—
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107C22×D7911yescharacteristic
1354#106—791no—
1355#106—791no—
1356#106—791no—
1357#106—791no—
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8—791no—
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103C22×D7911yescharacteristic
1373#103C22×D7911yescharacteristic
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102—791no—
1391#102—791no—
1392#102—791no—
1393#102—791no—
1394#102—791no—
1395#102—791no—
1396#102C22×D7911yescharacteristic
1397#102C22×D7911yescharacteristic
1398#102C22×D7911yescharacteristic
1399#102C22×D7911yescharacteristic
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8C22×D7911yescharacteristic
1405C22⋊C8C22×D7911yescharacteristic
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97—791no—
1410C4×C8—791no—
1411C4×C8C22×D7911yescharacteristic
1412C24—21no—
1413C24—21no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—22no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—3161no—
1423#41—3161no—
1424#41—6322no—
1425#41—6322no—
1426C2×Q8—791no—
1427C2×Q8—1581no—
1428C2×Q8C23×D7911yescharacteristic
1429C2×Q8C23×D7911yescharacteristic
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—791no—
1448C2×D4—791no—
1449C2×D4—791no—
1450C2×D4—791no—
1451C2×D4—791no—
1452C2×D4—791no—
1453C2×D4—6322no—
1454C2×D4—6322no—
1455C2×D4—6322no—
1456C2×D4—6322no—
1457C2×D4—6322no—
1458C2×D4—6322no—
1459C2×D4—1581no—
1460C2×D4—1581no—
1461C2×D4—1581no—
1462C2×D4—1581no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1581no—
1476C2×D4—1581no—
1477C2×D4—1582no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4D4×D7911yescharacteristic
1487C2×D4C23×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—6322no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4—1581no—
1511C22×C4—1581no—
1512C22×C4—1581no—
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515Q16—41no—
1516SD16—22no—
1517SD16—41no—
1518SD16—41no—
1519SD16—41no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—3161no—
1524D8—22no—
1525D8—22no—
1526D8—41no—
1527D8—41no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—3161no—
1535D8—3161no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—3161no—
1540M16—3161no—
1541C2×C8—41no—
1542C2×C8—41no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8C23×D7911yescharacteristic
1550C2×C8C23×D7911yescharacteristic
1551C2×C8C23×D7911yescharacteristic
1552C2×C8C23×D7911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—791no—
1556C4⋊C4—791no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—791no—
1562C4⋊C4—791no—
1563C4⋊C4—791no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—791no—
1567C4⋊C4—791no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4—1581no—
1576C4⋊C4—1581no—
1577C4⋊C4—1581no—
1578C4⋊C4—1581no—
1579C4⋊C4—1581no—
1580C4⋊C4—1581no—
1581C4⋊C4D4×D7911yescharacteristic
1582C4⋊C4C23×D7911yescharacteristic
1583C4⋊C4C23×D7911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—791no—
1599C22⋊C4—791no—
1600C22⋊C4—791no—
1601C22⋊C4—791no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4D4×D7911yescharacteristic
1629C22⋊C4D4×D7911yescharacteristic
1630C42—791no—
1631C42—791no—
1632C42—791no—
1633C42—791no—
1634C42—791no—
1635C42—1581no—
1636C42—1581no—
1637C42—1581no—
1638C42—1581no—
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—42no—
1646C23—42no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—3162no—
1651C23—3162no—
1652C23—791no—
1653C23—6321no—
1654C23—6321no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23—1581no—
1667C23C2×D4×D7911yescharacteristic
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—3161no—
1674Q8—6321no—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—42no—
1684D4—42no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—3162no—
1690D4—3162no—
1691D4—3162no—
1692D4—3161no—
1693D4—3162no—
1694D4—3162no—
1695D4—6321no—
1696D4—6321no—
1697D4—6321no—
1698D4—6321no—
1699D4—6321no—
1700D4—6321no—
1701D4—6321no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—6321no—
1716D4—1582no—
1717D4—1581no—
1718D4—1581no—
1719D4—1581no—
1720D4—1581no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4#1457920612yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—3162no—
1739C2×C4—3162no—
1740C2×C4—3161no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—791no—
1746C2×C4—791no—
1747C2×C4—791no—
1748C2×C4—6321no—
1749C2×C4—6321no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—6321no—
1757C2×C4—6321no—
1758C2×C4—6321no—
1759C2×C4—6321no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1582no—
1765C2×C4—1581no—
1766C2×C4—1581no—
1767C2×C4C2×D4×D7911yescharacteristic
1768C2×C4C2×D4×D7911yescharacteristic
1769C2×C4C2×D4×D7911yescharacteristic
1770C2×C4C2×D4×D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—22no—
1784C22—21no—
1785C22—21no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—84no—
1798C22—162no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—3161no—
1810C22—3161no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—12642no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936512yes—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—1581no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4C2×#1457920611yescharacteristic
1840C4#1909939811yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—3161no—
1848C2—6321no—
1849C2—6321no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706011yescharacteristic
1853C2C2×#1909936511yescharacteristic
1854C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3280C2
socleC22×C79C23×D4
hypercenter#3280D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #23777732C2semidirect
2. #23777341C2semidirect
3. #23776491C2semidirect
4. #23776437C2semidirect
5. #23776150C2semidirect
6. #23776105C2semidirect
7. #23775547C2semidirect
8. #23775425C2semidirect
9. #23775399C2semidirect
10. #23775361C2semidirect
11. #23775241C2semidirect
12. #23775214C2semidirect
13. D8×C22⋊D79C2semidirect
14. #23774940C2semidirect
15. #23774884C2semidirect
16. #23774883C2semidirect
17. #23774881C2semidirect
18. #23774834C2semidirect
19. #23774808C2semidirect
20. #23774753C2semidirect
21. #23774487C2semidirect
22. #23774448C2semidirect
23. #23774421C2semidirect
24. #23773640C2semidirect
25. #23773592C2semidirect
26. #23773539C2semidirect
27. #23772937C2semidirect
28. #23772901C2semidirect
29. C2×#19098756C2semidirect
30. #23772533C2semidirect
31. C79×#3280C2semidirect
32. C2×#14579188C22semidirect
33. C2×#14579186C22semidirect
34. C22×#11929609C22semidirect
35. C2×D8×D79C22semidirect
38. #19099295C22semidirect
39. #19099295C22semidirect
40. #19099270C22semidirect
42. #19099265C22semidirect
43. #19099255C22semidirect
46. #19099234C22semidirect
47. #19099232C22semidirect
48. #19099217C22semidirect
51. #19099201C22semidirect
53. D4×D316C22semidirect
54. #19099197C22semidirect
56. D4×C22⋊D79C22semidirect
58. #19099182C22semidirect
59. #19099166C22semidirect
60. #19099166C22semidirect
62. #19099164C22semidirect
65. #19099131C22semidirect
67. #19099127C22semidirect
70. C2×#14579157C22semidirect
71. #19099099C22semidirect
72. #19099099C22semidirect
76. #19099046C22semidirect
77. #19099035C22semidirect
78. C2×D4×Dic79C22semidirect
79. #19098953C22semidirect
80. #19098949C22semidirect
81. #19098949C22semidirect
82. #19098949C22semidirect
83. #19098938C22semidirect
84. #19098926C22semidirect
85. #19098926C22semidirect
86. #19098926C22semidirect
87. #19098922C22semidirect
88. #19098919C22semidirect
89. #19098910C22semidirect
90. #19098891C22semidirect
91. #19098890C22semidirect
92. #19098885C22semidirect
93. #19098879C22semidirect
94. #19098877C22semidirect
95. #19098877C22semidirect
96. #19098872C22semidirect
97. #19098872C22semidirect
98. #19098866C22semidirect
99. #19098866C22semidirect
100. #19098866C22semidirect
101. #19098861C22semidirect
102. #19098861C22semidirect
103. #19098861C22semidirect
104. #19098853C22semidirect
105. #19098844C22semidirect
106. #19098815C22semidirect
107. #19098814C22semidirect
108. #19098814C22semidirect
109. #19098806C22semidirect
111. #19098799C22semidirect
112. #19098796C22semidirect
113. #19098795C22semidirect
114. #19098794C22semidirect
115. #19098794C22semidirect
116. #19098787C22semidirect
117. #19098787C22semidirect
118. #19098787C22semidirect
119. #19098781C22semidirect
120. #19098781C22semidirect
121. #19098780C22semidirect
122. #19098780C22semidirect
123. #19098780C22semidirect
124. #19098775C22semidirect
125. #19098775C22semidirect
126. #19098761C22semidirect
127. #19098761C22semidirect
128. #19098761C22semidirect
129. #19098759C22semidirect
130. #19098758C22semidirect
131. #19098757C22semidirect
132. #19098757C22semidirect
133. #19098757C22semidirect
135. #19098756C22semidirect
136. #19098756C22semidirect
137. #19098756C22semidirect
138. #19098756C22semidirect
139. #19098756C22semidirect
140. #19098756C22semidirect
141. #19098756C22semidirect
142. #19098756C22semidirect
143. #19098756C22semidirect
144. #19098724C22semidirect
145. #19098713C22semidirect
146. #19098712C22semidirect
147. #19098708C22semidirect
148. #19098708C22semidirect
149. #19098707C22semidirect
150. #19098699C22semidirect
151. #19098699C22semidirect
152. #19098698C22semidirect
154. #19098697C22semidirect
155. #19098696C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098693C22semidirect
159. #19098692C22semidirect
160. #19098673C22semidirect
161. #19098673C22semidirect
162. #19098672C22semidirect
163. #19098672C22semidirect
164. #19098672C22semidirect
165. #19098664C22semidirect
166. #19098664C22semidirect
167. #19098664C22semidirect
168. #19098648C22semidirect
169. C4×D632C22semidirect
170. D8×Dic79C22semidirect
171. #19098637C22semidirect
172. #19098635C22semidirect
173. #19098634C22semidirect
174. #19098631C22semidirect
175. C8×C22⋊D79C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
178. #19098617C22semidirect
179. #19098589C22semidirect
180. #19098588C22semidirect
181. C2×Dic79⋊C8C22semidirect
182. #19098566C22semidirect
183. #19098564C22semidirect
184. #19098558C22semidirect
185. C2×#14579083C22semidirect
186. C2×#14579083C22semidirect
187. C2×#14579082C22semidirect
188. C2×#135×C79C22semidirect
189. C22×D8×C79C22semidirect
190. #546×C79C22semidirect
191. #546×C79C22semidirect
192. #495×C79C22semidirect
193. #467×C79C22semidirect
194. #466×C79C22semidirect
195. #463×C79C22semidirect
196. #463×C79C22semidirect
197. #450×C79C22semidirect
198. #450×C79C22semidirect
199. #449×C79C22semidirect
200. #449×C79C22semidirect
201. C4×D8×C79C22semidirect
202. C8×D4×C79C22semidirect
940. #3280D79semidirect
959. C79#62007semidirect
962. C2×#135C2×D79semidirect
965. C22×D8C2×D79semidirect
983. #546C2×D79semidirect
984. #546C2×D79semidirect
1015. #495C2×D79semidirect
1043. #467C2×D79semidirect
1047. #466C2×D79semidirect
1061. #463C2×D79semidirect
1062. #463C2×D79semidirect
1084. #450C2×D79semidirect
1085. #450C2×D79semidirect
1089. #449C2×D79semidirect
1090. #449C2×D79semidirect
1112. C4×D8C2×D79semidirect
1118. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777322
#237773412
#237764912
#237764372
#237761502
#237761052
#237755472
#237754252
#237753992
#237753612
#237752412
#237752142
D8×C22⋊D792
#237749402
#237748842
#237748832
#237748812
#237748342
#237748082
#237747532
#237744872
#237744482
#237744212
#237736402
#237735922
#237735392
#237729372
#237729012
C2×#190987562
#237725332
C79×#32802
#6200779