Finite Group Databasebeta

← #35181542

Subgroups — #35181542

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#23777726C211yesmaximal, characteristic, complemented
2#23777328C211yesmaximal, characteristic, complemented
3#23776488C211yesmaximal, characteristic, complemented
4#23776445C211yesmaximal, characteristic, complemented
5#23776150C211yesmaximal, characteristic, complemented
6#23776111C211yesmaximal, characteristic, complemented
7#23775542C211yesmaximal, characteristic, complemented
8#23775422C211yesmaximal, characteristic, complemented
9#23775402C211yesmaximal, characteristic, complemented
10#23775368C211yesmaximal, characteristic, complemented
11#23775236C211yesmaximal, characteristic, complemented
12#23775216C211yesmaximal, characteristic, complemented
13#23775080C211yesmaximal, characteristic, complemented
14D8×C22⋊D79C211yesmaximal, characteristic, complemented
15#23774934C211yesmaximal, characteristic, complemented
16#23774880C211yesmaximal, characteristic, complemented
17#23774875C211yesmaximal, characteristic, complemented
18#23774874C211yesmaximal, characteristic, complemented
19#23774837C211yesmaximal, characteristic, complemented
20#23774813C211yesmaximal, characteristic, complemented
21#23774749C211yesmaximal, characteristic, complemented
22#23774494C211yesmaximal, characteristic, complemented
23#23774447C211yesmaximal, characteristic, complemented
24#23774417C211yesmaximal, characteristic, complemented
25#23773643C211yesmaximal, characteristic, complemented
26#23773596C211yesmaximal, characteristic, complemented
27#23773537C211yesmaximal, characteristic, complemented
28#23772940C211yesmaximal, characteristic, complemented
29#459×D79C211yesmaximal, characteristic, complemented
30#23772537C211yesmaximal, characteristic, complemented
31C79×#3041C211yesmaximal, characteristic, complemented
32C2×#14579185C2211yescharacteristic, complemented
33C2×#14579182C2211yescharacteristic, complemented
34C2×D8×D79C2211yescharacteristic, complemented
35C2×D8×D79C2211yescharacteristic, complemented
36#19099302—21no—
37#19099301—21no—
38#19099296C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099270C2211yescharacteristic, complemented
41#19099259—21no—
42#19099257C2211yescharacteristic, complemented
43#19099252C2211yescharacteristic, complemented
44#19099242—21no—
45#19099239—21no—
46#19099233C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic, complemented
48#19099218C2211yescharacteristic, complemented
49#19099208C2211yescharacteristic, complemented
50#19099207C2211yescharacteristic, complemented
51#19099206C2211yescharacteristic, complemented
52#19099203—21no—
53#19099202—21no—
54#19099201C2211yescharacteristic
55#19099198C2211yescharacteristic, complemented
56D4×C22⋊D79C2211yescharacteristic
57D4×C22⋊D79C2211yescharacteristic, complemented
58D4×C22⋊D79C2211yescharacteristic, complemented
59#19099195—21no—
60#19099184C2211yescharacteristic, complemented
61#19099168C2211yescharacteristic, complemented
62#19099167C2211yescharacteristic, complemented
63#19099164C2211yescharacteristic, complemented
64#19099163—21no—
65#19099155—21no—
66#19099151—21no—
67#19099131C2211yescharacteristic, complemented
68#19099128—21no—
69#19099123—21no—
70#19099121—21no—
71#127×D79C2211yescharacteristic, complemented
72#19099095C2211yescharacteristic, complemented
73#19099092C2211yescharacteristic, complemented
74#19099091C2211yescharacteristic
75#19099072—21no—
76C2×#14579143—21no—
77#19099042C2211yescharacteristic, complemented
78C4×D4×D79C2211yescharacteristic, complemented
79#19098951C2211yescharacteristic, complemented
80#19098951C2211yescharacteristic, complemented
81#19098950C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098945C2211yescharacteristic, complemented
84#19098938C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098922C2211yescharacteristic, complemented
89#19098919C2211yescharacteristic, complemented
90#19098909C2211yescharacteristic, complemented
91#19098892C2211yescharacteristic, complemented
92#19098887C2211yescharacteristic, complemented
93#19098887C2211yescharacteristic, complemented
94#19098880C2211yescharacteristic, complemented
95#19098875C2211yescharacteristic, complemented
96#19098875C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098871C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098863C2211yescharacteristic, complemented
104#19098861C2211yescharacteristic, complemented
105#19098854C2211yescharacteristic, complemented
106#19098844C2211yescharacteristic, complemented
107#19098816C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098813C2211yescharacteristic, complemented
110#19098809C2211yescharacteristic, complemented
111#19098803C2211yescharacteristic, complemented
112#19098799C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic, complemented
114#19098796C2211yescharacteristic
115#19098796C2211yescharacteristic, complemented
116#19098792C2211yescharacteristic, complemented
117#19098791C2211yescharacteristic, complemented
118#19098789C2211yescharacteristic, complemented
119#19098788C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098782C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic, complemented
123#19098779C2211yescharacteristic, complemented
124#19098779C2211yescharacteristic, complemented
125#19098776C2211yescharacteristic, complemented
126#19098775C2211yescharacteristic, complemented
127#19098764C2211yescharacteristic, complemented
128#19098762C2211yescharacteristic, complemented
129#19098760C2211yescharacteristic, complemented
130#19098759C2211yescharacteristic, complemented
131#19098758C2211yescharacteristic, complemented
132#19098758C2211yescharacteristic, complemented
133#19098757C2211yescharacteristic, complemented
134#19098757C2211yescharacteristic, complemented
135#19098756C2211yescharacteristic
136#19098756C2211yescharacteristic, complemented
137#19098756C2211yescharacteristic, complemented
138#19098756C2211yescharacteristic, complemented
139#19098756C2211yescharacteristic, complemented
140#19098755C2211yescharacteristic, complemented
141#19098725C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic, complemented
144#19098714C2211yescharacteristic, complemented
145#19098712C2211yescharacteristic, complemented
146#19098711C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic, complemented
148#19098707C2211yescharacteristic, complemented
149#19098705C2211yescharacteristic, complemented
150#19098705C2211yescharacteristic, complemented
151#19098698C2211yescharacteristic, complemented
152#19098697C2211yescharacteristic, complemented
153#19098697C2211yescharacteristic, complemented
154#19098697C2211yescharacteristic, complemented
155#19098695C2211yescharacteristic
156#19098695C2211yescharacteristic, complemented
157#19098695C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098690C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098675C2211yescharacteristic, complemented
163#19098673C2211yescharacteristic, complemented
164#19098673C2211yescharacteristic, complemented
165#19098672C2211yescharacteristic, complemented
166#19098666C2211yescharacteristic, complemented
167#19098664C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098654C2211yescharacteristic, complemented
170D8×Dic79C2211yescharacteristic, complemented
171C4×#11929609C2211yescharacteristic, complemented
172C4×#11929609C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098633C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176#19098632C2211yescharacteristic, complemented
177#19098628C2211yescharacteristic, complemented
178C8×C22⋊D79C2211yescharacteristic, complemented
179#19098624C2211yescharacteristic, complemented
180#19098623C2211yescharacteristic, complemented
181#19098619C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C4⋊C8×D79C2211yescharacteristic, complemented
184#19098563C2211yescharacteristic, complemented
185#102×D79C2211yescharacteristic, complemented
186#102×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C22×D8×C79C2211yescharacteristic, complemented
190#535×C79C2211yescharacteristic, complemented
191#518×C79C2211yescharacteristic, complemented
192#463×C79C2211yescharacteristic, complemented
193#463×C79C2211yescharacteristic, complemented
194#463×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#459×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic, complemented
199#459×C79C2211yescharacteristic, complemented
200#424×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C22×C22⋊D79—21no—
208C22×C22⋊D79—21no—
209C22×C22⋊D79—21no—
210C2×D4×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214C2×D4×D79C2311yescharacteristic
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C22×C4×D79—21no—
218#14579185—42no—
219#14579182—42no—
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×D632C2311yescharacteristic
228C2×D632C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236D8×D79—42no—
237D8×D79—42no—
238C2×#11929607C2311yescharacteristic
239C2×C8×D79C2311yescharacteristic
240C2×C8×D79C2311yescharacteristic
241C2×C8×D79C2311yescharacteristic
242#14579161C2311yescharacteristic
243#14579158C2311yescharacteristic
244#14579157—21no—
245#14579157—21no—
246#14579157—21no—
247#14579157C2311yescharacteristic
248#14579157C2311yescharacteristic
249#14579157C2311yescharacteristic
250#14579157C2311yescharacteristic
251#14579156—21no—
252#14579156D411yescharacteristic
253#14579155—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154D411yescharacteristic
258#14579153—21no—
259#14579153C2311yescharacteristic
260#14579152C2311yescharacteristic
261#14579152C2311yescharacteristic
262#14579151D411yescharacteristic
263#14579150C2311yescharacteristic
264#14579149C2311yescharacteristic
265#14579148C2311yescharacteristic
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147D411yescharacteristic
270#14579146—21no—
271#14579146—21no—
272#14579146D411yescharacteristic
273#14579145—21no—
274#14579145—21no—
275#14579144—21no—
276#14579144—21no—
277#14579144—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143D411yescharacteristic
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579141C2311yescharacteristic
294#14579140—21no—
295#14579140—21no—
296#14579140C2311yescharacteristic
297#14579139—21no—
298#14579139D411yescharacteristic
299#14579138—21no—
300#14579138—21no—
301#14579137C2311yescharacteristic
302#14579136C2311yescharacteristic
303#14579135—21no—
304#14579135—21no—
305#14579135—21no—
306#14579135C2311yescharacteristic
307#14579135C2311yescharacteristic
308#14579135C2311yescharacteristic
309#14579134—21no—
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579134—21no—
314#14579134—21no—
315#14579134—21no—
316#14579134D411yescharacteristic
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579132—21no—
327#14579132—21no—
328#14579132—21no—
329#14579132C2311yescharacteristic
330#14579132C2311yescharacteristic
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579132C2311yescharacteristic
334#14579131—21no—
335#14579131—21no—
336#14579131—21no—
337#14579131—21no—
338#14579130—21no—
339#14579130—21no—
340#14579130—21no—
341#14579130—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347#14579129—21no—
348Q8×Dic79C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350C4×Dic158C2311yescharacteristic
351#14579126C2311yescharacteristic
352C4×D316—21no—
353C4×D316C2311yescharacteristic
354C4×D316C2311yescharacteristic
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361D4×Dic79C2311yescharacteristic
362#14579123C2311yescharacteristic
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79C2311yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4—21no—
374#14579120—21no—
375#14579118—21no—
376#14579118C2311yescharacteristic
377#14579117—21no—
378#14579117—21no—
379C2×C4⋊Dic79—21no—
380C2×Dic79⋊C4—21no—
381C4⋊C4×D79C2311yescharacteristic
382C4⋊C4×D79C2311yescharacteristic
383C2×C22⋊Dic79—21no—
384C2×(C2×D79)⋊C4—21no—
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C42×D79C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579095C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579093C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428C22⋊(C79⋊C8)C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433#14579072C2311yescharacteristic
434#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×D4×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442AGL(1,ℤ/8)×C79—42no—
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79—42no—
446C2×D8×C79C2311yescharacteristic
447C2×D8×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C22×C8×C79C2311yescharacteristic
454#127×C79C2311yescharacteristic
455#127×C79C2311yescharacteristic
456#124×C79C2311yescharacteristic
457#124×C79C2311yescharacteristic
458#121×C79—21no—
459#121×C79—21no—
460#120×C79—21no—
461#120×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79—21no—
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468#117×C79C2311yescharacteristic
469#117×C79C2311yescharacteristic
470C2×C22⋊C4×C79—21no—
471C2×C22⋊C4×C79—21no—
472C4⋊C8×C79C2311yescharacteristic
473C4⋊C8×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475C4⋊C8×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929625—41no—
489#11929625—41no—
490#11929624—82no—
491#11929623—22no—
492#11929623—41no—
493#11929623—82no—
494C2×Dic158—21no—
495C2×Dic158C2×D411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—21no—
501C2×D316C2×D411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—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—82no—
527C2×C22⋊D79—82no—
528C2×C22⋊D79—82no—
529C2×C22⋊D79C2×D411yescharacteristic
530C2×C22⋊D79C2×D411yescharacteristic
531D4×D79—22no—
532D4×D79—41no—
533D4×D79—41no—
534D4×D79—41no—
535D4×D79—41no—
536D4×D79—41no—
537D4×D79—41no—
538D4×D79—41no—
539D4×D79—82no—
540D4×D79—82no—
541D4×D79—82no—
542C22×Dic79—21no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—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—21no—
555C2×C4×D79—82no—
556C2×C4×D79C2×D411yescharacteristic
557C2×C4×D79C2×D411yescharacteristic
558C2×C4×D79C2411yescharacteristic
559C2×C4×D79C2411yescharacteristic
560#11929614—41no—
561#11929613—41no—
562#11929613—41no—
563#11929612—41no—
564#11929612—41no—
565#11929612—41no—
566#11929611—41no—
567D632—41no—
568D632—41no—
569#11929609—22no—
570#11929609—22no—
571#11929609—41no—
572#11929609—41no—
573#11929609—41no—
574#11929609—41no—
575#11929609—41no—
576#11929607—41no—
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C8×D79—41no—
582C8×D79—41no—
583C8×D79—41no—
584C4⋊Dic79—21no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79—21no—
588C4⋊Dic79—21no—
589C4⋊Dic79C2×D411yescharacteristic
590C4⋊Dic79C2×D411yescharacteristic
591C4⋊Dic79C2411yescharacteristic
592C4⋊Dic79C2411yescharacteristic
593C4⋊Dic79C2411yescharacteristic
594C4⋊Dic79C2411yescharacteristic
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
609Dic79⋊C4C2×D411yescharacteristic
610Dic79⋊C4C2×D411yescharacteristic
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79C2×D411yescharacteristic
625C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4C2×D411yescharacteristic
641(C2×D79)⋊C4C2×D411yescharacteristic
642(C2×D79)⋊C4C2×D411yescharacteristic
643(C2×D79)⋊C4C2×D411yescharacteristic
644(C2×D79)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79—21no—
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2×D411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C24×C79—21no—
654C24×C79—21no—
655#41×C79—41no—
656#41×C79—41no—
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—21no—
666C2×D4×C79—41no—
667C2×D4×C79—41no—
668C2×D4×C79—41no—
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C2×D4×C79C2411yescharacteristic
673C2×D4×C79C2411yescharacteristic
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79—21no—
677C22×C4×C79—21no—
678C22×C4×C79—21no—
679C22×C4×C79C2411yescharacteristic
680SD16×C79—22no—
681SD16×C79—41no—
682D8×C79—22no—
683D8×C79—22no—
684D8×C79—22no—
685D8×C79—41no—
686D8×C79—41no—
687D8×C79—41no—
688M16×C79—41no—
689C2×C8×C79—41no—
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C2×C8×C79C2411yescharacteristic
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2×D411yescharacteristic
696C4⋊C4×C79C2411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
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—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79C2×D411yescharacteristic
708C22⋊C4×C79C2×D411yescharacteristic
709C42×C79—21no—
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—21no—
717C23×C79—42no—
718C23×C79—81no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79—81no—
722C23×C79—81no—
723C23×C79C22×D411yescharacteristic
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—42no—
728C22×D79—42no—
729C22×D79—42no—
730C22×D79—42no—
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×D79C22×D411yescharacteristic
740C22×D79C22×D411yescharacteristic
741Q8×C79—21no—
742Q8×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—21no—
751D4×C79—21no—
752D4×C79—42no—
753D4×C79—81no—
754D4×C79—81no—
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—81no—
766C2×C4×C79—81no—
767C2×C4×C79—81no—
768C2×C4×C79—81no—
769C2×C4×C79—81no—
770C2×C4×C79C22×D411yescharacteristic
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C2511yescharacteristic
776C22⋊D79—22no—
777C22⋊D79—41no—
778C22⋊D79—42no—
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—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—42no—
805C2×Dic79—42no—
806C2×Dic79—81no—
807C2×Dic79—81no—
808C2×Dic79—81no—
809C2×Dic79—81no—
810C2×Dic79C22×D411yescharacteristic
811C2×Dic79C22×D411yescharacteristic
812C2×Dic79C22×D411yescharacteristic
813C2×Dic79C22×D411yescharacteristic
814C2×Dic79C22×D411yescharacteristic
815C2×Dic79C22×D411yescharacteristic
816D316—22no—
817D316—21no—
818D316—21no—
819D316—21no—
820D316—21no—
821D316—21no—
822D316—21no—
823D316—81no—
824D316—81no—
825D316—81no—
826D316—81no—
827C4×D79—22no—
828C4×D79—21no—
829C4×D79—21no—
830C4×D79—21no—
831C4×D79—21no—
832C4×D79—41no—
833C4×D79—42no—
834C4×D79—81no—
835C4×D79—81no—
836C4×D79—81no—
837C4×D79—81no—
838C4×D79—81no—
839C4×D79—81no—
840Dic158—21no—
841Dic158—21no—
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—22no—
854C22×C79—21no—
855C22×C79—21no—
856C22×C79—41no—
857C22×C79—41no—
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—41no—
870C22×C79—162no—
871C22×C79—162no—
872C22×C79C23×D411yescharacteristic
873C2×D79—21no—
874C2×D79—21no—
875C2×D79—21no—
876C2×D79—21no—
877C2×D79—21no—
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—84no—
888C2×D79—162no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79#57612yes—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—21no—
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—41no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62007—791nomaximal, Sylow
914C2×C79—42no—
915C2×C79—41no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—22no—
924D79—41no—
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#3280—791no—
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#3041D7911yescharacteristic, complemented
957C2×#459—791no—
958#2992—791no—
959C79#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
962C2×#135—791no—
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—791no—
982#546—791no—
983#546—1581no—
984#546—1581no—
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—1581no—
999#535C2×D7911yescharacteristic, complemented
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#518C2×D7911yescharacteristic, complemented
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#495—791no—
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#467—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
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#463C2×D7911yescharacteristic, complemented
1060#463C2×D7911yescharacteristic, complemented
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#459C2×D7911yescharacteristic, complemented
1078#459C2×D7911yescharacteristic, complemented
1079#459C2×D7911yescharacteristic, complemented
1080#459C2×D7911yescharacteristic, complemented
1081#452—791no—
1082#450—791no—
1083#450—791no—
1084#450—791no—
1085#450—791no—
1086#449—791no—
1087#449—791no—
1088#449—791no—
1089#449—791no—
1090#449—791no—
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×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435—791no—
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424C2×D7911yescharacteristic, complemented
1124C2×C4⋊C8—791no—
1125#418C2×D7911yescharacteristic, complemented
1126#417—791no—
1127#416C2×D7911yescharacteristic, complemented
1128C2×#102—791no—
1129C2×#102—791no—
1130C2×#102—791no—
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—1581no—
1134C2×#41—1581no—
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)—42no—
1150AGL(1,ℤ/8)—3162no—
1151#135—3162no—
1152C2×Q16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16—791no—
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×D8C22×D7911yescharacteristic
1174C2×D8C22×D7911yescharacteristic
1175C2×D8C22×D7911yescharacteristic
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16C22×D7911yescharacteristic
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8C22×D7911yescharacteristic
1185C4⋊Q8—791no—
1186#127—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—1581no—
1192#127—1581no—
1193#127—1581no—
1194#127C22×D7911yescharacteristic
1195#127C22×D7911yescharacteristic
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—791no—
1218#123—791no—
1219#123—1581no—
1220#123—1581no—
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—791no—
1243C22⋊Q8—791no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247C22⋊Q8—1581no—
1248C22⋊Q8—1581no—
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—791no—
1260#121—791no—
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#121—1581no—
1282#121—1581no—
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—21no—
1304C4×D4—21no—
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—791no—
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×D4C22×D7911yescharacteristic
1328C4×D4C22×D7911yescharacteristic
1329C4×D4C22×D7911yescharacteristic
1330C4×D4C22×D7911yescharacteristic
1331#117—791no—
1332#117—1581no—
1333#117—1581no—
1334#117—1581no—
1335#117—1581no—
1336#117C22×D7911yescharacteristic
1337#117C22×D7911yescharacteristic
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#107—791no—
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⋊C8C22×D7911yescharacteristic
1365C4⋊C8C22×D7911yescharacteristic
1366C4⋊C8C22×D7911yescharacteristic
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#102C22×D7911yescharacteristic
1395#102C22×D7911yescharacteristic
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⋊C8—791no—
1405C22⋊C8—791no—
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97—791no—
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—21no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—41no—
1419#41—41no—
1420#41—3161no—
1421#41—3161no—
1422#41—3161no—
1423#41—6322no—
1424#41—6322no—
1425#41—1582no—
1426C2×Q8—791no—
1427C2×Q8—791no—
1428C2×Q8—1581no—
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—21no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—791no—
1449C2×D4—791no—
1450C2×D4—791no—
1451C2×D4—791no—
1452C2×D4—791no—
1453C2×D4—791no—
1454C2×D4—6322no—
1455C2×D4—6322no—
1456C2×D4—6322no—
1457C2×D4—6322no—
1458C2×D4—6322no—
1459C2×D4—6322no—
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×D4C23×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—21no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—6322no—
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×C4—1581no—
1514C22×C4C23×D7911yescharacteristic
1515Q16—3161no—
1516SD16—22no—
1517SD16—41no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—3161no—
1522SD16—3161no—
1523SD16—3161no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—3161no—
1535D8—3161no—
1536D8—3161no—
1537D8—1582no—
1538D8—1582no—
1539M16—41no—
1540M16—3161no—
1541C2×C8—41no—
1542C2×C8—3161no—
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—791no—
1554C4⋊C4—791no—
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—1581no—
1566C4⋊C4—1581no—
1567C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
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—791no—
1594C22⋊C4—791no—
1595C22⋊C4—791no—
1596C22⋊C4—791no—
1597C22⋊C4—791no—
1598C22⋊C4—791no—
1599C22⋊C4—791no—
1600C22⋊C4—791no—
1601C22⋊C4—1581no—
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—21no—
1631C42—791no—
1632C42—791no—
1633C42—791no—
1634C42—791no—
1635C42—1581no—
1636C42—1581no—
1637C42—1581no—
1638C42C23×D7911yescharacteristic
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—3162no—
1652C23—3162no—
1653C23—3162no—
1654C23—3162no—
1655C23—791no—
1656C23—791no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—6321no—
1664C23—6321no—
1665C23—1581no—
1666C23—1581no—
1667C23—1581no—
1668C23C2×D4×D7911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—3161no—
1672Q8—6321no—
1673Q8—1581no—
1674Q8—1581no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—42no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—3162no—
1692D4—3162no—
1693D4—3162no—
1694D4—3162no—
1695D4—3161no—
1696D4—3162no—
1697D4—3162no—
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—6321no—
1717D4—1582no—
1718D4—1582no—
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—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—3161no—
1737C2×C4—3162no—
1738C2×C4—3162no—
1739C2×C4—3162no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—791no—
1746C2×C4—6321no—
1747C2×C4—6321no—
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—1582no—
1757C2×C4—1581no—
1758C2×C4—1581no—
1759C2×C4—1581no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4C2×D4×D7911yescharacteristic
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—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—162no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—792no—
1810C22—6324no—
1811C22—1581no—
1812C22—1581no—
1813C22—1581no—
1814C22—1581no—
1815C22—1581no—
1816C22—12642no—
1817C22—12642no—
1818C22—12642no—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—3161no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4C2×#1457920611yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—3161no—
1848C2—6321no—
1849C2—6321no—
1850C2—6321no—
1851C2—1582no—
1852C2#2377706511yescharacteristic
1853C2#576×D7911yescharacteristic
1854C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3041C2
socleC22×C79C23×D4
hypercenter#3041D79
hypocenterC79#62007
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

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

NH ≅ G/Ntype
1. #23777726C2semidirect
2. #23777328C2semidirect
3. #23776488C2semidirect
4. #23776445C2semidirect
5. #23776150C2semidirect
6. #23776111C2semidirect
7. #23775542C2semidirect
8. #23775422C2semidirect
9. #23775402C2semidirect
10. #23775368C2semidirect
11. #23775236C2semidirect
12. #23775216C2semidirect
13. #23775080C2semidirect
14. D8×C22⋊D79C2semidirect
15. #23774934C2semidirect
16. #23774880C2semidirect
17. #23774875C2semidirect
18. #23774874C2semidirect
19. #23774837C2semidirect
20. #23774813C2semidirect
21. #23774749C2semidirect
22. #23774494C2semidirect
23. #23774447C2semidirect
24. #23774417C2semidirect
25. #23773643C2semidirect
26. #23773596C2semidirect
27. #23773537C2semidirect
28. #23772940C2semidirect
29. #459×D79C2semidirect
30. #23772537C2semidirect
31. C79×#3041C2semidirect
32. C2×#14579185C22semidirect
33. C2×#14579182C22semidirect
34. C2×D8×D79C22semidirect
35. C2×D8×D79C22semidirect
38. #19099296C22semidirect
39. #19099295C22semidirect
40. #19099270C22semidirect
42. #19099257C22semidirect
43. #19099252C22semidirect
46. #19099233C22semidirect
47. #19099232C22semidirect
48. #19099218C22semidirect
49. #19099208C22semidirect
50. #19099207C22semidirect
51. #19099206C22semidirect
55. #19099198C22semidirect
57. D4×C22⋊D79C22semidirect
58. D4×C22⋊D79C22semidirect
60. #19099184C22semidirect
61. #19099168C22semidirect
62. #19099167C22semidirect
63. #19099164C22semidirect
67. #19099131C22semidirect
71. #127×D79C22semidirect
72. #19099095C22semidirect
73. #19099092C22semidirect
77. #19099042C22semidirect
78. C4×D4×D79C22semidirect
79. #19098951C22semidirect
80. #19098951C22semidirect
81. #19098950C22semidirect
82. #19098949C22semidirect
83. #19098945C22semidirect
84. #19098938C22semidirect
85. #19098926C22semidirect
86. #19098926C22semidirect
87. #19098926C22semidirect
88. #19098922C22semidirect
89. #19098919C22semidirect
90. #19098909C22semidirect
91. #19098892C22semidirect
92. #19098887C22semidirect
93. #19098887C22semidirect
94. #19098880C22semidirect
95. #19098875C22semidirect
96. #19098875C22semidirect
97. #19098872C22semidirect
98. #19098871C22semidirect
99. #19098865C22semidirect
100. #19098865C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098863C22semidirect
104. #19098861C22semidirect
105. #19098854C22semidirect
106. #19098844C22semidirect
107. #19098816C22semidirect
108. #19098815C22semidirect
109. #19098813C22semidirect
110. #19098809C22semidirect
111. #19098803C22semidirect
112. #19098799C22semidirect
113. #19098798C22semidirect
115. #19098796C22semidirect
116. #19098792C22semidirect
117. #19098791C22semidirect
118. #19098789C22semidirect
119. #19098788C22semidirect
120. #19098783C22semidirect
121. #19098782C22semidirect
122. #19098780C22semidirect
123. #19098779C22semidirect
124. #19098779C22semidirect
125. #19098776C22semidirect
126. #19098775C22semidirect
127. #19098764C22semidirect
128. #19098762C22semidirect
129. #19098760C22semidirect
130. #19098759C22semidirect
131. #19098758C22semidirect
132. #19098758C22semidirect
133. #19098757C22semidirect
134. #19098757C22semidirect
136. #19098756C22semidirect
137. #19098756C22semidirect
138. #19098756C22semidirect
139. #19098756C22semidirect
140. #19098755C22semidirect
141. #19098725C22semidirect
142. #19098715C22semidirect
143. #19098715C22semidirect
144. #19098714C22semidirect
145. #19098712C22semidirect
146. #19098711C22semidirect
147. #19098708C22semidirect
148. #19098707C22semidirect
149. #19098705C22semidirect
150. #19098705C22semidirect
151. #19098698C22semidirect
152. #19098697C22semidirect
153. #19098697C22semidirect
154. #19098697C22semidirect
156. #19098695C22semidirect
157. #19098695C22semidirect
158. #19098695C22semidirect
159. #19098692C22semidirect
160. #19098690C22semidirect
161. #19098675C22semidirect
162. #19098675C22semidirect
163. #19098673C22semidirect
164. #19098673C22semidirect
165. #19098672C22semidirect
166. #19098666C22semidirect
167. #19098664C22semidirect
168. #19098660C22semidirect
169. #19098654C22semidirect
170. D8×Dic79C22semidirect
171. C4×#11929609C22semidirect
172. C4×#11929609C22semidirect
173. #19098634C22semidirect
174. #19098633C22semidirect
175. #19098632C22semidirect
176. #19098632C22semidirect
177. #19098628C22semidirect
178. C8×C22⋊D79C22semidirect
179. #19098624C22semidirect
180. #19098623C22semidirect
181. #19098619C22semidirect
182. #19098588C22semidirect
183. C4⋊C8×D79C22semidirect
184. #19098563C22semidirect
185. #102×D79C22semidirect
186. #102×D79C22semidirect
187. #102×D79C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C22×D8×C79C22semidirect
190. #535×C79C22semidirect
191. #518×C79C22semidirect
192. #463×C79C22semidirect
193. #463×C79C22semidirect
194. #463×C79C22semidirect
195. #463×C79C22semidirect
196. #459×C79C22semidirect
197. #459×C79C22semidirect
198. #459×C79C22semidirect
199. #459×C79C22semidirect
200. #424×C79C22semidirect
201. #418×C79C22semidirect
202. #416×C79C22semidirect
956. #3041D79semidirect
959. C79#62007semidirect
961. C2×AGL(1,ℤ/8)C2×D79semidirect
965. C22×D8C2×D79semidirect
999. #535C2×D79semidirect
1009. #518C2×D79semidirect
1059. #463C2×D79semidirect
1060. #463C2×D79semidirect
1061. #463C2×D79semidirect
1062. #463C2×D79semidirect
1077. #459C2×D79semidirect
1078. #459C2×D79semidirect
1079. #459C2×D79semidirect
1080. #459C2×D79semidirect
1123. #424C2×D79semidirect
1125. #418C2×D79semidirect
1127. #416C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237777262
#237773282
#237764882
#237764452
#237761502
#237761112
#237755422
#237754222
#237754022
#237753682
#237752362
#237752162
#237750802
D8×C22⋊D792
#237749342
#237748802
#237748752
#237748742
#237748372
#237748132
#237747492
#237744942
#237744472
#237744172
#237736432
#237735962
#237735372
#237729402
#459×D792
#237725372
C79×#30412
#6200779