Finite Group Databasebeta

← #3267×D79 #35163258

Subgroups — #3267×D79 #35163258

Order 20224.

2914 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×AGL(1,ℤ/8)×D79C211yesmaximal, characteristic, complemented
2C2×#135×D79C211yesmaximal, characteristic, complemented
3#547×D79C211yesmaximal, characteristic, complemented
4#546×D79C211yesmaximal, characteristic, complemented
5#23774932C211yesmaximal, characteristic, complemented
6#23774931C211yesmaximal, characteristic, complemented
7#23774930C211yesmaximal, characteristic, complemented
8#23774929C211yesmaximal, characteristic, complemented
9#23774928C211yesmaximal, characteristic, complemented
10#23774927C211yesmaximal, characteristic, complemented
11#23774926C211yesmaximal, characteristic, complemented
12#23774925C211yesmaximal, characteristic, complemented
13#23774924C211yesmaximal, characteristic, complemented
14#23774923C211yesmaximal, characteristic, complemented
15#23774922C211yesmaximal, characteristic, complemented
16#23774921C211yesmaximal, characteristic, complemented
17#23774920C211yesmaximal, characteristic, complemented
18#23774919C211yesmaximal, characteristic, complemented
19#23774918C211yesmaximal, characteristic, complemented
20#497×D79C211yesmaximal, characteristic, complemented
21#470×D79C211yesmaximal, characteristic, complemented
22#465×D79C211yesmaximal, characteristic, complemented
23#463×D79C211yesmaximal, characteristic, complemented
24#461×D79C211yesmaximal, characteristic, complemented
25#452×D79C211yesmaximal, characteristic, complemented
26#452×D79C211yesmaximal, characteristic, complemented
27#449×D79C211yesmaximal, characteristic, complemented
28#450×D79C211yesmaximal, characteristic, complemented
29#442×D79C211yesmaximal, characteristic, complemented
30#435×D79C211yesmaximal, characteristic, complemented
31C79×#3267C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34C2×#41×D79C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic
36C2×#14579189C2211yescharacteristic, complemented
37C2×#14579188C2211yescharacteristic, complemented
38C2×#14579188C2211yescharacteristic, complemented
39C2×#14579187C2211yescharacteristic, complemented
40C2×#14579186C2211yescharacteristic, complemented
41C2×#14579185C2211yescharacteristic, complemented
42C2×#14579185C2211yescharacteristic, complemented
43AGL(1,ℤ/8)×D79—28no—
44C2×#14579184C2211yescharacteristic, complemented
45C2×#14579183C2211yescharacteristic, complemented
46C2×#14579182C2211yescharacteristic, complemented
47C2×#14579182C2211yescharacteristic, complemented
48C2×#14579181C2211yescharacteristic, complemented
49C2×#14579181C2211yescharacteristic, complemented
50C2×#14579180C2211yescharacteristic, complemented
51#135×D79—28no—
52C2×Q16×D79C2211yescharacteristic, complemented
53C2×Q16×D79C2211yescharacteristic, complemented
54C2×SD16×D79C2211yescharacteristic
55C2×SD16×D79C2211yescharacteristic
56C2×SD16×D79C2211yescharacteristic
57C2×SD16×D79C2211yescharacteristic
58C2×SD16×D79C2211yescharacteristic, complemented
59C2×D8×D79C2211yescharacteristic
60C2×D8×D79C2211yescharacteristic
61C2×M16×D79C2211yescharacteristic
62C22×C8×D79C2211yescharacteristic, complemented
63#19099218C2211yescharacteristic, complemented
64#19099217C2211yescharacteristic, complemented
65#19099216C2211yescharacteristic, complemented
66#19099215C2211yescharacteristic, complemented
67#19099215C2211yescharacteristic, complemented
68#19099214—21no—
69#19099213—21no—
70#19099212C2211yescharacteristic, complemented
71#19099212C2211yescharacteristic, complemented
72#19099211—21no—
73#19099211—21no—
74#19099210C2211yescharacteristic, complemented
75#19099209C2211yescharacteristic, complemented
76#19099208C2211yescharacteristic, complemented
77#19099207C2211yescharacteristic, complemented
78#19099206C2211yescharacteristic, complemented
79#19099205—21no—
80#19099204C2211yescharacteristic, complemented
81#19099203—21no—
82#19099202—21no—
83#19099201C2211yescharacteristic, complemented
84#19099200—21no—
85C4⋊Q8×D79C2211yescharacteristic, complemented
86#124×D79C2211yescharacteristic
87#123×D79—21no—
88#123×D79—21no—
89#123×D79—21no—
90C22⋊Q8×D79C2211yescharacteristic
91C22⋊Q8×D79C2211yescharacteristic
92C22⋊Q8×D79C2211yescharacteristic, complemented
93#121×D79—21no—
94#121×D79—21no—
95#121×D79C2211yescharacteristic
96#120×D79—21no—
97C4×D4×D79C2211yescharacteristic
98C4×D4×D79C2211yescharacteristic
99C4×D4×D79C2211yescharacteristic, complemented
100C2×C4⋊C4×D79—21no—
101C2×C22⋊C4×D79—21no—
102#19098958C2211yescharacteristic, complemented
103#19098957C2211yescharacteristic, complemented
104#19098956C2211yescharacteristic, complemented
105#19098956C2211yescharacteristic, complemented
106#19098955C2211yescharacteristic, complemented
107#19098954C2211yescharacteristic, complemented
108#19098954C2211yescharacteristic, complemented
109#19098822C2211yescharacteristic, complemented
110#19098821C2211yescharacteristic, complemented
111#19098820C2211yescharacteristic, complemented
112#19098820C2211yescharacteristic, complemented
113#19098819C2211yescharacteristic, complemented
114#19098819C2211yescharacteristic, complemented
115#19098818C2211yescharacteristic, complemented
116#19098795C2211yescharacteristic, complemented
117#19098794C2211yescharacteristic, complemented
118#19098793C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098791C2211yescharacteristic, complemented
121#19098790C2211yescharacteristic, complemented
122#19098789C2211yescharacteristic, complemented
123#19098781C2211yescharacteristic, complemented
124#19098780C2211yescharacteristic, complemented
125#19098779C2211yescharacteristic, complemented
126#19098778C2211yescharacteristic, complemented
127#19098777C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098769C2211yescharacteristic, complemented
131#19098768C2211yescharacteristic, complemented
132#19098767C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098765C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098728C2211yescharacteristic, complemented
139#19098727C2211yescharacteristic, complemented
140#19098727C2211yescharacteristic, complemented
141#19098726C2211yescharacteristic, complemented
142#19098726C2211yescharacteristic, complemented
143#19098725C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic, complemented
145#19098724C2211yescharacteristic, complemented
146#19098724C2211yescharacteristic, complemented
147#19098723C2211yescharacteristic, complemented
148#19098723C2211yescharacteristic, complemented
149#19098722C2211yescharacteristic, complemented
150#19098722C2211yescharacteristic, complemented
151#19098716C2211yescharacteristic, complemented
152#19098715C2211yescharacteristic, complemented
153#19098715C2211yescharacteristic, complemented
154#19098714C2211yescharacteristic, complemented
155#19098713C2211yescharacteristic, complemented
156#19098712C2211yescharacteristic, complemented
157#19098712C2211yescharacteristic, complemented
158#19098711C2211yescharacteristic, complemented
159#19098710C2211yescharacteristic, complemented
160#19098709C2211yescharacteristic, complemented
161#19098708C2211yescharacteristic, complemented
162#19098707C2211yescharacteristic, complemented
163#19098706C2211yescharacteristic, complemented
164#19098705C2211yescharacteristic, complemented
165#19098676C2211yescharacteristic, complemented
166#19098675C2211yescharacteristic, complemented
167#19098674C2211yescharacteristic, complemented
168#19098673C2211yescharacteristic, complemented
169#19098673C2211yescharacteristic, complemented
170#19098672C2211yescharacteristic, complemented
171#19098672C2211yescharacteristic, complemented
172#19098637C2211yescharacteristic, complemented
173#19098636C2211yescharacteristic, complemented
174#19098635C2211yescharacteristic, complemented
175#19098634C2211yescharacteristic, complemented
176#19098633C2211yescharacteristic, complemented
177#19098632C2211yescharacteristic, complemented
178#19098631C2211yescharacteristic, complemented
179#106×D79C2211yescharacteristic, complemented
180C4⋊C8×D79C2211yescharacteristic, complemented
181#103×D79C2211yescharacteristic, complemented
182#103×D79C2211yescharacteristic, complemented
183#103×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic
185#102×D79C2211yescharacteristic
186#102×D79C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic
188C22⋊C8×D79C2211yescharacteristic, complemented
189#97×D79C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
191C2×#135×C79C2211yescharacteristic, complemented
192#547×C79C2211yescharacteristic, complemented
193#546×C79C2211yescharacteristic, complemented
194#497×C79C2211yescharacteristic, complemented
195#470×C79C2211yescharacteristic, complemented
196#465×C79C2211yescharacteristic, complemented
197#463×C79C2211yescharacteristic, complemented
198#461×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200#452×C79C2211yescharacteristic, complemented
201#450×C79C2211yescharacteristic, complemented
202#449×C79C2211yescharacteristic, complemented
203#442×C79C2211yescharacteristic, complemented
204#435×C79C2211yescharacteristic, complemented
205C24×D79—21no—
206C2×#11929625C2311yescharacteristic
207C2×#11929625C2311yescharacteristic
208C2×#11929625C2311yescharacteristic, complemented
209C2×#11929624—21no—
210C2×#11929624—21no—
211C2×#11929624—21no—
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic, complemented
215C2×#11929623—21no—
216C2×#11929623—21no—
217C2×#11929623—21no—
218C2×#11929623C2311yescharacteristic
219C2×#11929623C2311yescharacteristic
220C2×#11929623C2311yescharacteristic, complemented
221#41×D79—24no—
222#41×D79—24no—
223#41×D79—24no—
224#41×D79—42no—
225#41×D79—42no—
226#41×D79—42no—
227C2×Q8×D79C2311yescharacteristic
228C2×Q8×D79C2311yescharacteristic
229C2×Q8×D79C2311yescharacteristic
230C22×D316C2311yescharacteristic
231C22×C22⋊D79—21no—
232C2×D4×D79—24no—
233C2×D4×D79—21no—
234C2×D4×D79—21no—
235C2×D4×D79—21no—
236C2×D4×D79—21no—
237C2×D4×D79—21no—
238C2×D4×D79—21no—
239C2×D4×D79—42no—
240C2×D4×D79D411yescharacteristic
241C2×D4×D79C2311yescharacteristic
242C2×D4×D79C2311yescharacteristic
243C2×D4×D79C2311yescharacteristic
244C2×D4×D79C2311yescharacteristic
245C2×D4×D79C2311yescharacteristic
246C22×C4×D79—21no—
247C22×C4×D79—21no—
248C22×C4×D79—21no—
249C22×C4×D79—21no—
250C22×C4×D79—21no—
251C22×C4×D79C2311yescharacteristic
252C22×C4×D79C2311yescharacteristic
253#14579189—24no—
254#14579188—24no—
255#14579188—24no—
256#14579187—24no—
257#14579186—24no—
258#14579185—24no—
259#14579185—24no—
260#14579184—24no—
261#14579183—24no—
262#14579182—24no—
263#14579182—24no—
264#14579181—24no—
265#14579181—24no—
266#14579180—24no—
267C2×Dic316C2311yescharacteristic, complemented
268C2×Dic316C2311yescharacteristic, complemented
269C2×#11929614C2311yescharacteristic, complemented
270C2×#11929614C2311yescharacteristic, complemented
271C2×#11929614C2311yescharacteristic, complemented
272C2×#11929614C2311yescharacteristic, complemented
273Q16×D79—24no—
274Q16×D79—42no—
275C2×#11929613C2311yescharacteristic
276C2×#11929613C2311yescharacteristic
277C2×#11929613C2311yescharacteristic
278C2×#11929613C2311yescharacteristic
279C2×#11929613C2311yescharacteristic, complemented
280C2×#11929612C2311yescharacteristic
281C2×#11929612C2311yescharacteristic
282C2×#11929612C2311yescharacteristic
283C2×#11929612C2311yescharacteristic
284C2×#11929612C2311yescharacteristic, complemented
285C2×#11929611C2311yescharacteristic
286C2×#11929611C2311yescharacteristic
287C2×#11929611C2311yescharacteristic
288C2×#11929611C2311yescharacteristic
289C2×#11929611C2311yescharacteristic, complemented
290SD16×D79—24no—
291SD16×D79—24no—
292SD16×D79—24no—
293SD16×D79—24no—
294SD16×D79—42no—
295C2×D632C2311yescharacteristic
296C2×D632C2311yescharacteristic
297C2×#11929609C2311yescharacteristic
298C2×#11929609C2311yescharacteristic
299C2×#11929609C2311yescharacteristic
300C2×#11929609C2311yescharacteristic
301D8×D79—24no—
302D8×D79D418yescomplemented
303C2×#11929608C2311yescharacteristic
304C2×#11929607C2311yescharacteristic
305C2×#11929607C2311yescharacteristic
306M16×D79—24no—
307C22×C79⋊C8C2311yescharacteristic, complemented
308C2×C8×D79—24no—
309C2×C8×D79C2311yescharacteristic
310C2×C8×D79C2311yescharacteristic
311C2×C8×D79C2311yescharacteristic
312C2×C8×D79C2311yescharacteristic
313C2×C8×D79C2311yescharacteristic, complemented
314C2×C8×D79C2311yescharacteristic, complemented
315#14579161C2311yescharacteristic, complemented
316#14579160—21no—
317#14579160—21no—
318#14579159C2311yescharacteristic, complemented
319#14579159C2311yescharacteristic, complemented
320#14579150C2311yescharacteristic
321#14579149C2311yescharacteristic
322#14579148C2311yescharacteristic
323#14579147—21no—
324#14579147—21no—
325#14579146—21no—
326#14579146—21no—
327#14579146—21no—
328#14579146—21no—
329#14579146—21no—
330#14579146—21no—
331#14579145—21no—
332#14579145—21no—
333#14579145—21no—
334#14579144—21no—
335#14579144—21no—
336#14579144—21no—
337#14579143—21no—
338#14579143—21no—
339#14579143—21no—
340#14579143—21no—
341#14579143—21no—
342#14579143—21no—
343#14579142—21no—
344#14579142—21no—
345#14579142—21no—
346#14579141C2311yescharacteristic
347#14579141C2311yescharacteristic
348#14579141C2311yescharacteristic, complemented
349#14579140C2311yescharacteristic
350#14579140C2311yescharacteristic
351#14579140C2311yescharacteristic, complemented
352#14579139—21no—
353#14579139—21no—
354#14579139—21no—
355#14579138—21no—
356#14579138—21no—
357#14579138—21no—
358#14579137C2311yescharacteristic
359#14579137C2311yescharacteristic
360#14579137C2311yescharacteristic, complemented
361#14579136—21no—
362#14579136—21no—
363#14579136C2311yescharacteristic
364#14579135—21no—
365#14579135—21no—
366#14579135C2311yescharacteristic
367#14579134—21no—
368#14579134—21no—
369#14579134—21no—
370#14579134—21no—
371#14579134—21no—
372#14579133—21no—
373#14579133—21no—
374#14579133—21no—
375#14579133—21no—
376#14579133—21no—
377#14579132—21no—
378#14579132—21no—
379#14579132C2311yescharacteristic
380#14579131—21no—
381#14579131—21no—
382#14579131—21no—
383#14579130—21no—
384#14579129—21no—
385#14579129—21no—
386#14579129—21no—
387C4×D316C2311yescharacteristic
388C4×D316C2311yescharacteristic
389C4×D316C2311yescharacteristic, complemented
390D4×Dic79D411yescharacteristic
391D4×Dic79C2311yescharacteristic
392D4×Dic79C2311yescharacteristic, complemented
393#14579123D411yescharacteristic
394#14579123C2311yescharacteristic
395#14579123C2311yescharacteristic, complemented
396C4×C22⋊D79—21no—
397C4×C22⋊D79—21no—
398C4×C22⋊D79C2311yescharacteristic
399C4×C22⋊D79C2311yescharacteristic
400(C22⋊D79)⋊C4—21no—
401(C22⋊D79)⋊C4—21no—
402(C22⋊D79)⋊C4D411yescharacteristic
403(C22⋊D79)⋊C4D411yescharacteristic
404C2×C4⋊Dic79—21no—
405C2×Dic79⋊C4—21no—
406C2×Dic79⋊C4—21no—
407C4⋊C4×D79—21no—
408C4⋊C4×D79—21no—
409C4⋊C4×D79—21no—
410C4⋊C4×D79—21no—
411C4⋊C4×D79—21no—
412C4⋊C4×D79—21no—
413C4⋊C4×D79—21no—
414C4⋊C4×D79—21no—
415C4⋊C4×D79—21no—
416C4⋊C4×D79D411yescharacteristic
417C4⋊C4×D79C2311yescharacteristic
418C4⋊C4×D79C2311yescharacteristic
419C2×C22⋊Dic79—21no—
420C2×(C2×D79)⋊C4—21no—
421C2×(C2×D79)⋊C4—21no—
422C22⋊C4×D79—21no—
423C22⋊C4×D79—21no—
424C22⋊C4×D79—21no—
425C22⋊C4×D79—21no—
426C22⋊C4×D79—21no—
427C22⋊C4×D79—21no—
428C22⋊C4×D79—21no—
429C22⋊C4×D79—21no—
430C22⋊C4×D79—21no—
431C22⋊C4×D79—21no—
432C22⋊C4×D79—21no—
433C22⋊C4×D79—21no—
434C22⋊C4×D79D411yescharacteristic
435C22⋊C4×D79D411yescharacteristic
436C42×D79C2311yescharacteristic
437#14579093C2311yescharacteristic, complemented
438#14579092C2311yescharacteristic, complemented
439#14579092C2311yescharacteristic, complemented
440C4⋊(C79⋊C8)C2311yescharacteristic, complemented
441Dic79⋊C8C2311yescharacteristic, complemented
442Dic79⋊C8C2311yescharacteristic, complemented
443#14579086C2311yescharacteristic, complemented
444#14579086C2311yescharacteristic, complemented
445#14579086C2311yescharacteristic, complemented
446#14579085C2311yescharacteristic, complemented
447#14579085C2311yescharacteristic, complemented
448#14579085C2311yescharacteristic, complemented
449#14579084C2311yescharacteristic, complemented
450#14579084C2311yescharacteristic, complemented
451#14579084C2311yescharacteristic, complemented
452#14579083C2311yescharacteristic
453#14579083C2311yescharacteristic
454#14579083C2311yescharacteristic, complemented
455#14579082C2311yescharacteristic
456#14579082C2311yescharacteristic
457#14579082C2311yescharacteristic, complemented
458#14579081C2311yescharacteristic
459#14579081C2311yescharacteristic
460#14579081C2311yescharacteristic, complemented
461C22⋊(C79⋊C8)C2311yescharacteristic
462C22⋊(C79⋊C8)C2311yescharacteristic, complemented
463(C2×D79)⋊C8C2311yescharacteristic
464(C2×D79)⋊C8C2311yescharacteristic
465(C2×D79)⋊C8C2311yescharacteristic, complemented
466(C2×D79)⋊C8C2311yescharacteristic, complemented
467#14579072C2311yescharacteristic, complemented
468#14579071C2311yescharacteristic, complemented
469#14579071C2311yescharacteristic, complemented
470C2×#41×C79C2311yescharacteristic
471C2×#41×C79C2311yescharacteristic
472C2×#41×C79C2311yescharacteristic, complemented
473C22×D4×C79C2311yescharacteristic
474AGL(1,ℤ/8)×C79—24no—
475#135×C79—24no—
476C2×Q16×C79C2311yescharacteristic, complemented
477C2×Q16×C79C2311yescharacteristic, complemented
478C2×SD16×C79C2311yescharacteristic
479C2×SD16×C79C2311yescharacteristic
480C2×SD16×C79C2311yescharacteristic
481C2×SD16×C79C2311yescharacteristic
482C2×SD16×C79C2311yescharacteristic, complemented
483C2×D8×C79C2311yescharacteristic
484C2×D8×C79C2311yescharacteristic
485C2×M16×C79C2311yescharacteristic
486C22×C8×C79C2311yescharacteristic, complemented
487C4⋊Q8×C79C2311yescharacteristic, complemented
488#124×C79C2311yescharacteristic
489#123×C79—21no—
490#123×C79—21no—
491#123×C79—21no—
492C22⋊Q8×C79C2311yescharacteristic
493C22⋊Q8×C79C2311yescharacteristic
494C22⋊Q8×C79C2311yescharacteristic, complemented
495#121×C79—21no—
496#121×C79—21no—
497#121×C79C2311yescharacteristic
498#120×C79—21no—
499C4×D4×C79C2311yescharacteristic
500C4×D4×C79C2311yescharacteristic
501C4×D4×C79C2311yescharacteristic, complemented
502C2×C4⋊C4×C79—21no—
503C2×C22⋊C4×C79—21no—
504#106×C79C2311yescharacteristic, complemented
505C4⋊C8×C79C2311yescharacteristic, complemented
506#103×C79C2311yescharacteristic, complemented
507#103×C79C2311yescharacteristic, complemented
508#103×C79C2311yescharacteristic, complemented
509#102×C79C2311yescharacteristic
510#102×C79C2311yescharacteristic
511#102×C79C2311yescharacteristic, complemented
512C22⋊C8×C79C2311yescharacteristic
513C22⋊C8×C79C2311yescharacteristic, complemented
514#97×C79C2311yescharacteristic, complemented
515C23×D79—21no—
516C23×D79—21no—
517C23×D79—21no—
518C23×D79—21no—
519C23×D79—21no—
520C23×D79—21no—
521C23×D79—44no—
522C23×D79—44no—
523C23×D79—82no—
524C23×D79C2×D411yescharacteristic
525C23×D79C2×D411yescharacteristic
526#11929625—22no—
527#11929625—22no—
528#11929625—22no—
529#11929625—41no—
530#11929625—41no—
531#11929625—41no—
532#11929624—22no—
533#11929624—22no—
534#11929624—22no—
535#11929624—44no—
536#11929624—44no—
537#11929624—44no—
538#11929624—41no—
539#11929624—41no—
540#11929624—41no—
541#11929623—22no—
542#11929623—22no—
543#11929623—22no—
544#11929623—44no—
545#11929623—44no—
546#11929623—44no—
547#11929623—41no—
548#11929623—41no—
549#11929623—41no—
550C2×Dic158—21no—
551C2×Dic158—21no—
552C2×Dic158—21no—
553C2×Dic158C2411yescharacteristic
554C2×Dic158C2411yescharacteristic
555C2×Dic158C2411yescharacteristic
556Q8×D79—22no—
557Q8×D79—22no—
558Q8×D79—22no—
559Q8×D79—22no—
560Q8×D79—22no—
561Q8×D79—22no—
562C2×D316—21no—
563C2×D316—21no—
564C2×D316—21no—
565C2×D316—21no—
566C2×D316—22no—
567C2×D316—21no—
568C2×D316—41no—
569C2×D316C2×D411yescharacteristic
570C2×D316C2411yescharacteristic
571C2×D316C2411yescharacteristic
572C2×D316C2411yescharacteristic
573C2×C22⋊D79—21no—
574C2×C22⋊D79—21no—
575C2×C22⋊D79—21no—
576C2×C22⋊D79—21no—
577C2×C22⋊D79—21no—
578C2×C22⋊D79—21no—
579C2×C22⋊D79—21no—
580C2×C22⋊D79—21no—
581C2×C22⋊D79—21no—
582C2×C22⋊D79—21no—
583C2×C22⋊D79—21no—
584C2×C22⋊D79—21no—
585C2×C22⋊D79—21no—
586C2×C22⋊D79—44no—
587C2×C22⋊D79C2×D411yescharacteristic
588C2×C22⋊D79C2×D411yescharacteristic
589D4×D79—22no—
590D4×D79—22no—
591D4×D79—22no—
592D4×D79—22no—
593D4×D79—22no—
594D4×D79—22no—
595D4×D79—44no—
596D4×D79—41no—
597D4×D79—41no—
598D4×D79—42no—
599D4×D79—44no—
600D4×D79—44no—
601D4×D79—44no—
602D4×D79—44no—
603D4×D79—82no—
604D4×D79C2×D414yes—
605D4×D79C2×D414yes—
606C22×Dic79—21no—
607C22×Dic79—21no—
608C22×Dic79—21no—
609C22×Dic79—21no—
610C22×Dic79—21no—
611C22×Dic79C2×D411yescharacteristic
612C22×Dic79C2×D411yescharacteristic
613C2×C4×D79—22no—
614C2×C4×D79—22no—
615C2×C4×D79—22no—
616C2×C4×D79—22no—
617C2×C4×D79—21no—
618C2×C4×D79—21no—
619C2×C4×D79—21no—
620C2×C4×D79—21no—
621C2×C4×D79—21no—
622C2×C4×D79—21no—
623C2×C4×D79—21no—
624C2×C4×D79—21no—
625C2×C4×D79—21no—
626C2×C4×D79—21no—
627C2×C4×D79—21no—
628C2×C4×D79—21no—
629C2×C4×D79—21no—
630C2×C4×D79—21no—
631C2×C4×D79—21no—
632C2×C4×D79—44no—
633C2×C4×D79—44no—
634C2×C4×D79—44no—
635C2×C4×D79—44no—
636C2×C4×D79—82no—
637C2×C4×D79C2×D411yescharacteristic
638C2×C4×D79C2×D411yescharacteristic
639C2×C4×D79C2×D411yescharacteristic
640C2×C4×D79C2×D411yescharacteristic
641C2×C4×D79C2×D411yescharacteristic
642C2×C4×D79C2×D411yescharacteristic
643C2×C4×D79C2411yescharacteristic
644C2×C4×D79C2411yescharacteristic
645C2×C4×D79C2411yescharacteristic
646Dic316—22no—
647Dic316—41no—
648#11929614—22no—
649#11929614—22no—
650#11929614—41no—
651#11929614—41no—
652#11929613—22no—
653#11929613—22no—
654#11929613—22no—
655#11929613—22no—
656#11929613—41no—
657#11929612—22no—
658#11929612—22no—
659#11929612—22no—
660#11929612—22no—
661#11929612—41no—
662#11929611—22no—
663#11929611—22no—
664#11929611—22no—
665#11929611—22no—
666#11929611—41no—
667D632—22no—
668D632C2×D414yescomplemented
669#11929609—22no—
670#11929609—22no—
671#11929609C2×D414yescomplemented
672#11929609C2×D414yescomplemented
673#11929608—22no—
674#11929607—22no—
675#11929607—22no—
676C2×C79⋊C8—22no—
677C2×C79⋊C8C2411yescharacteristic
678C2×C79⋊C8C2411yescharacteristic
679C2×C79⋊C8C2411yescharacteristic
680C2×C79⋊C8C2411yescharacteristic
681C8×D79—22no—
682C8×D79—22no—
683C8×D79—22no—
684C8×D79—22no—
685C8×D79—22no—
686C8×D79C2×D414yes—
687C4⋊Dic79—21no—
688C4⋊Dic79—21no—
689C4⋊Dic79—21no—
690C4⋊Dic79—21no—
691C4⋊Dic79—21no—
692C4⋊Dic79C2×D411yescharacteristic
693C4⋊Dic79C2411yescharacteristic
694C4⋊Dic79C2411yescharacteristic
695Dic79⋊C4—21no—
696Dic79⋊C4—21no—
697Dic79⋊C4—21no—
698Dic79⋊C4—21no—
699Dic79⋊C4—21no—
700Dic79⋊C4—21no—
701Dic79⋊C4—21no—
702Dic79⋊C4—21no—
703Dic79⋊C4—21no—
704Dic79⋊C4—21no—
705Dic79⋊C4—21no—
706Dic79⋊C4—21no—
707Dic79⋊C4C2×D411yescharacteristic
708Dic79⋊C4C2×D411yescharacteristic
709C22⋊Dic79—21no—
710C22⋊Dic79—21no—
711C22⋊Dic79—21no—
712C22⋊Dic79—21no—
713C22⋊Dic79—21no—
714C22⋊Dic79—21no—
715C22⋊Dic79—21no—
716C22⋊Dic79—21no—
717C22⋊Dic79C2×D411yescharacteristic
718C22⋊Dic79C2×D411yescharacteristic
719(C2×D79)⋊C4—21no—
720(C2×D79)⋊C4—21no—
721(C2×D79)⋊C4—21no—
722(C2×D79)⋊C4—21no—
723(C2×D79)⋊C4—21no—
724(C2×D79)⋊C4—21no—
725(C2×D79)⋊C4—21no—
726(C2×D79)⋊C4—21no—
727(C2×D79)⋊C4—21no—
728(C2×D79)⋊C4—21no—
729(C2×D79)⋊C4—21no—
730(C2×D79)⋊C4—21no—
731(C2×D79)⋊C4—21no—
732(C2×D79)⋊C4—21no—
733(C2×D79)⋊C4—21no—
734(C2×D79)⋊C4—21no—
735(C2×D79)⋊C4C2×D411yescharacteristic
736(C2×D79)⋊C4C2×D411yescharacteristic
737(C2×D79)⋊C4C2×D411yescharacteristic
738(C2×D79)⋊C4C2×D411yescharacteristic
739C4×Dic79C2×D411yescharacteristic
740C4×Dic79C2×D411yescharacteristic
741C4×Dic79C2411yescharacteristic
742C24×C79—21no—
743#41×C79—22no—
744#41×C79—22no—
745#41×C79—22no—
746#41×C79—41no—
747#41×C79—41no—
748#41×C79—41no—
749C2×Q8×C79C2411yescharacteristic
750C2×Q8×C79C2411yescharacteristic
751C2×Q8×C79C2411yescharacteristic
752C2×D4×C79—22no—
753C2×D4×C79—21no—
754C2×D4×C79—21no—
755C2×D4×C79—21no—
756C2×D4×C79—21no—
757C2×D4×C79—21no—
758C2×D4×C79—41no—
759C2×D4×C79C2×D411yescharacteristic
760C2×D4×C79C2411yescharacteristic
761C2×D4×C79C2411yescharacteristic
762C2×D4×C79C2411yescharacteristic
763C22×C4×C79—21no—
764C22×C4×C79—21no—
765C22×C4×C79—21no—
766C22×C4×C79—21no—
767C22×C4×C79—21no—
768C22×C4×C79C2411yescharacteristic
769C22×C4×C79C2411yescharacteristic
770Q16×C79—22no—
771Q16×C79—41no—
772SD16×C79—22no—
773SD16×C79—22no—
774SD16×C79—22no—
775SD16×C79—22no—
776SD16×C79—41no—
777D8×C79—22no—
778D8×C79C2×D414yescomplemented
779M16×C79—22no—
780C2×C8×C79—22no—
781C2×C8×C79C2411yescharacteristic
782C2×C8×C79C2411yescharacteristic
783C2×C8×C79C2411yescharacteristic
784C2×C8×C79C2411yescharacteristic
785C4⋊C4×C79—21no—
786C4⋊C4×C79—21no—
787C4⋊C4×C79—21no—
788C4⋊C4×C79—21no—
789C4⋊C4×C79—21no—
790C4⋊C4×C79C2×D411yescharacteristic
791C4⋊C4×C79C2411yescharacteristic
792C4⋊C4×C79C2411yescharacteristic
793C22⋊C4×C79—21no—
794C22⋊C4×C79—21no—
795C22⋊C4×C79—21no—
796C22⋊C4×C79—21no—
797C22⋊C4×C79—21no—
798C22⋊C4×C79—21no—
799C22⋊C4×C79—21no—
800C22⋊C4×C79—21no—
801C22⋊C4×C79C2×D411yescharacteristic
802C22⋊C4×C79C2×D411yescharacteristic
803C42×C79C2411yescharacteristic
804C23×C79—21no—
805C23×C79—21no—
806C23×C79—21no—
807C23×C79—42no—
808C23×C79—42no—
809C23×C79—81no—
810C23×C79C22×D411yescharacteristic
811C23×C79C22×D411yescharacteristic
812C22×D79—21no—
813C22×D79—21no—
814C22×D79—22no—
815C22×D79—22no—
816C22×D79—24no—
817C22×D79—24no—
818C22×D79—22no—
819C22×D79—22no—
820C22×D79—22no—
821C22×D79—22no—
822C22×D79—21no—
823C22×D79—42no—
824C22×D79—42no—
825C22×D79—42no—
826C22×D79—42no—
827C22×D79—42no—
828C22×D79—42no—
829C22×D79—42no—
830C22×D79—42no—
831C22×D79—42no—
832C22×D79—42no—
833C22×D79—42no—
834C22×D79—42no—
835C22×D79—42no—
836C22×D79—81no—
837C22×D79—81no—
838C22×D79—81no—
839C22×D79—816no—
840C22×D79C22×D411yescharacteristic
841C22×D79C22×D411yescharacteristic
842C22×D79C22×D411yescharacteristic
843Q8×C79—21no—
844Q8×C79—21no—
845Q8×C79—21no—
846Q8×C79—21no—
847Q8×C79—21no—
848Q8×C79—21no—
849D4×C79—21no—
850D4×C79—21no—
851D4×C79—21no—
852D4×C79—21no—
853D4×C79—41no—
854D4×C79—42no—
855D4×C79—42no—
856D4×C79—42no—
857D4×C79—42no—
858D4×C79—81no—
859D4×C79C22×D412yes—
860D4×C79C22×D412yes—
861C2×C4×C79—21no—
862C2×C4×C79—21no—
863C2×C4×C79—21no—
864C2×C4×C79—21no—
865C2×C4×C79—21no—
866C2×C4×C79—21no—
867C2×C4×C79—21no—
868C2×C4×C79—21no—
869C2×C4×C79—21no—
870C2×C4×C79—42no—
871C2×C4×C79—42no—
872C2×C4×C79—42no—
873C2×C4×C79—42no—
874C2×C4×C79—81no—
875C2×C4×C79C22×D411yescharacteristic
876C2×C4×C79C22×D411yescharacteristic
877C2×C4×C79C22×D411yescharacteristic
878C2×C4×C79C22×D411yescharacteristic
879C2×C4×C79C2511yescharacteristic
880C22⋊D79—24no—
881C22⋊D79—24no—
882C22⋊D79—41no—
883C22⋊D79—41no—
884C22⋊D79—42no—
885C22⋊D79—42no—
886C22⋊D79—42no—
887C22⋊D79—42no—
888C22⋊D79—42no—
889C22⋊D79—42no—
890C22⋊D79—42no—
891C22⋊D79—42no—
892C22⋊D79—42no—
893C22⋊D79—81no—
894C22⋊D79—81no—
895C2×Dic79—22no—
896C2×Dic79—22no—
897C2×Dic79—21no—
898C2×Dic79—21no—
899C2×Dic79—21no—
900C2×Dic79—21no—
901C2×Dic79—21no—
902C2×Dic79—42no—
903C2×Dic79—42no—
904C2×Dic79—42no—
905C2×Dic79—42no—
906C2×Dic79—81no—
907C2×Dic79C22×D411yescharacteristic
908C2×Dic79C22×D411yescharacteristic
909C2×Dic79C22×D411yescharacteristic
910C2×Dic79C22×D411yescharacteristic
911C2×Dic79C22×D411yescharacteristic
912D316—21no—
913D316—21no—
914D316—21no—
915D316—21no—
916D316—41no—
917D316—42no—
918D316—42no—
919D316—42no—
920D316—42no—
921D316—81no—
922D316C22×D412yes—
923D316C22×D412yes—
924C4×D79—22no—
925C4×D79—22no—
926C4×D79—22no—
927C4×D79—22no—
928C4×D79—21no—
929C4×D79—21no—
930C4×D79—21no—
931C4×D79—21no—
932C4×D79—22no—
933C4×D79—22no—
934C4×D79—42no—
935C4×D79—42no—
936C4×D79—42no—
937C4×D79—42no—
938C4×D79—42no—
939C4×D79—42no—
940C4×D79—42no—
941C4×D79—42no—
942C4×D79—42no—
943C4×D79—42no—
944C4×D79—42no—
945C4×D79—42no—
946C4×D79—42no—
947C4×D79—81no—
948C4×D79—81no—
949C4×D79C22×D412yes—
950C4×D79H(5,𝔽2)12yes—
951Dic158—21no—
952Dic158—21no—
953Dic158—21no—
954Dic158—21no—
955Dic158—21no—
956Dic158—21no—
957Dic158—42no—
958Dic158—42no—
959Dic158—42no—
960C8×C79—21no—
961C8×C79—21no—
962C8×C79—21no—
963C8×C79C22×D412yes—
964C79⋊C8—21no—
965C79⋊C8—21no—
966C79⋊C8—21no—
967C79⋊C8C22×D412yes—
968C22×C79—22no—
969C22×C79—22no—
970C22×C79—21no—
971C22×C79—21no—
972C22×C79—21no—
973C22×C79—21no—
974C22×C79—21no—
975C22×C79—21no—
976C22×C79—41no—
977C22×C79—41no—
978C22×C79—41no—
979C22×C79—41no—
980C22×C79—41no—
981C22×C79—41no—
982C22×C79—41no—
983C22×C79—84no—
984C22×C79C23×D411yescharacteristic
985C2×D79—22no—
986C2×D79—22no—
987C2×D79—21no—
988C2×D79—21no—
989C2×D79—21no—
990C2×D79—21no—
991C2×D79—21no—
992C2×D79—21no—
993C2×D79—41no—
994C2×D79—41no—
995C2×D79—41no—
996C2×D79—41no—
997C2×D79—44no—
998C2×D79—44no—
999C2×D79—48no—
1000C2×D79—48no—
1001C2×D79—41no—
1002C2×D79—41no—
1003C2×D79—41no—
1004C2×D79—84no—
1005C2×D79—84no—
1006C2×D79—84no—
1007C2×D79—84no—
1008C2×D79D4212yes—
1009C2×D79#57512yes—
1010C2×D79#57712yes—
1011C4×C79—21no—
1012C4×C79—21no—
1013C4×C79—21no—
1014C4×C79—21no—
1015C4×C79—41no—
1016C4×C79—41no—
1017C4×C79—41no—
1018C4×C79—41no—
1019C4×C79—41no—
1020C4×C79C23×D411yescharacteristic
1021C4×C79C2×H(5,𝔽2)11yescharacteristic
1022Dic79—21no—
1023Dic79—21no—
1024Dic79—21no—
1025Dic79—21no—
1026Dic79—41no—
1027Dic79—41no—
1028Dic79—41no—
1029Dic79—41no—
1030Dic79—41no—
1031Dic79D4212yes—
1032C2×#3267—791nomaximal, Sylow
1033C2×C79—41no—
1034C2×C79—42no—
1035C2×C79—41no—
1036C2×C79—42no—
1037C2×C79—81no—
1038C2×C79C2×D4211yescharacteristic
1039C2×C79C2×#57511yescharacteristic
1040C2×C79C2×#57711yescharacteristic
1041D79—41no—
1042D79—41no—
1043D79—42no—
1044D79—42no—
1045D79—81no—
1046D79#326714yesdirect product factor
1047C22×AGL(1,ℤ/8)—791no—
1048C22×#135—791no—
1049C2×#547—791no—
1050C2×#546—791no—
1051#3267—791no—
1052#3267—791no—
1053#3267—791no—
1054#3267—791no—
1055#3267—791no—
1056#3267—791no—
1057#3267—791no—
1058#3267—791no—
1059#3267—791no—
1060#3267—791no—
1061#3267—791no—
1062#3267—791no—
1063#3267—791no—
1064#3267—791no—
1065#3267—791no—
1066#3267D7911yescharacteristic, direct product factor
1067C2×#497—791no—
1068C2×#470—791no—
1069C2×#465—791no—
1070C2×#463—791no—
1071C2×#461—791no—
1072C2×#452—791no—
1073C2×#452—791no—
1074C2×#449—791no—
1075C2×#450—791no—
1076C2×#442—791no—
1077C2×#435—791no—
1078C79C2×#326711yescharacteristic, complemented, Sylow
1079C22×#41—791no—
1080C22×#41—791no—
1081C22×#41—791no—
1082C23×D4—791no—
1083C2×AGL(1,ℤ/8)—791no—
1084C2×AGL(1,ℤ/8)—791no—
1085C2×AGL(1,ℤ/8)—791no—
1086C2×AGL(1,ℤ/8)—791no—
1087C2×AGL(1,ℤ/8)—791no—
1088C2×AGL(1,ℤ/8)—791no—
1089C2×AGL(1,ℤ/8)—791no—
1090C2×AGL(1,ℤ/8)—1588no—
1091C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1092C2×#135—791no—
1093C2×#135—791no—
1094C2×#135—791no—
1095C2×#135—791no—
1096C2×#135—791no—
1097C2×#135—791no—
1098C2×#135—791no—
1099C2×#135—1588no—
1100C2×#135C2×D7911yescharacteristic, complemented
1101C22×Q16—791no—
1102C22×Q16—791no—
1103C22×SD16—791no—
1104C22×SD16—791no—
1105C22×SD16—791no—
1106C22×SD16—791no—
1107C22×SD16—791no—
1108C22×D8—791no—
1109C22×D8—791no—
1110C22×M16—791no—
1111C23×C8—791no—
1112#547—791no—
1113#547—791no—
1114#547—791no—
1115#547—791no—
1116#547—791no—
1117#547—791no—
1118#547—791no—
1119#547—1581no—
1120#547—1581no—
1121#547—1581no—
1122#547—1581no—
1123#547C2×D7911yescharacteristic, complemented
1124#546—791no—
1125#546—791no—
1126#546—791no—
1127#546—791no—
1128#546—791no—
1129#546—791no—
1130#546—791no—
1131#546—1581no—
1132#546—1581no—
1133#546—1581no—
1134#546—1581no—
1135#546C2×D7911yescharacteristic, complemented
1136C2×C4⋊Q8—791no—
1137C2×#124—791no—
1138C2×#123—1581no—
1139C2×#123—1581no—
1140C2×#123—1581no—
1141C2×C22⋊Q8—791no—
1142C2×C22⋊Q8—791no—
1143C2×C22⋊Q8—791no—
1144C2×#121—791no—
1145C2×#121—1581no—
1146C2×#121—1581no—
1147C2×#120—1581no—
1148C2×C4×D4—791no—
1149C2×C4×D4—791no—
1150C2×C4×D4—791no—
1151C22×C4⋊C4—1581no—
1152C22×C22⋊C4—1581no—
1153#497—791no—
1154#497—791no—
1155#497—791no—
1156#497—791no—
1157#497—791no—
1158#497—791no—
1159#497—791no—
1160#497C2×D7911yescharacteristic, complemented
1161#470—791no—
1162#470—791no—
1163#470—791no—
1164#470—791no—
1165#470—791no—
1166#470—791no—
1167#470—791no—
1168#470C2×D7911yescharacteristic, complemented
1169#465—791no—
1170#465—791no—
1171#465—791no—
1172#465—791no—
1173#465—791no—
1174#465—791no—
1175#465—791no—
1176#465C2×D7911yescharacteristic, complemented
1177#463—791no—
1178#463—791no—
1179#463—791no—
1180#463—791no—
1181#463—791no—
1182#463—791no—
1183#463—791no—
1184#463C2×D7911yescharacteristic, complemented
1185#461—791no—
1186#461—791no—
1187#461—791no—
1188#461—791no—
1189#461—791no—
1190#461—791no—
1191#461—791no—
1192#461C2×D7911yescharacteristic, complemented
1193#452—791no—
1194#452—791no—
1195#452—791no—
1196#452—791no—
1197#452—791no—
1198#452—791no—
1199#452—791no—
1200#452—791no—
1201#452—791no—
1202#452—791no—
1203#452—791no—
1204#452—791no—
1205#452—791no—
1206#452—791no—
1207#452C2×D7911yescharacteristic, complemented
1208#452C2×D7911yescharacteristic, complemented
1209#450—791no—
1210#450—791no—
1211#450—791no—
1212#450—791no—
1213#450—791no—
1214#450—791no—
1215#450—791no—
1216#450C2×D7911yescharacteristic, complemented
1217#449—791no—
1218#449—791no—
1219#449—791no—
1220#449—791no—
1221#449—791no—
1222#449—791no—
1223#449—791no—
1224#449C2×D7911yescharacteristic, complemented
1225#442—791no—
1226#442—791no—
1227#442—791no—
1228#442—791no—
1229#442—791no—
1230#442—791no—
1231#442—791no—
1232#442C2×D7911yescharacteristic, complemented
1233#435—791no—
1234#435—791no—
1235#435—791no—
1236#435—791no—
1237#435—791no—
1238#435—791no—
1239#435—791no—
1240#435C2×D7911yescharacteristic, complemented
1241C2×#106—791no—
1242C2×C4⋊C8—791no—
1243C2×#103—791no—
1244C2×#103—791no—
1245C2×#103—791no—
1246C2×#102—791no—
1247C2×#102—791no—
1248C2×#102—791no—
1249C2×C22⋊C8—791no—
1250C2×C22⋊C8—791no—
1251C2×#97—791no—
1252C25—1581no—
1253C2×#41—3162no—
1254C2×#41—3162no—
1255C2×#41—3162no—
1256C2×#41—791no—
1257C2×#41—791no—
1258C2×#41—791no—
1259C2×#41—791no—
1260C2×#41—791no—
1261C2×#41—791no—
1262C2×#41—791no—
1263C2×#41—791no—
1264C2×#41—791no—
1265C2×#41—1581no—
1266C2×#41—1581no—
1267C2×#41—1581no—
1268C2×#41—1584no—
1269C2×#41—1584no—
1270C2×#41—1584no—
1271C2×#41—1581no—
1272C2×#41—1581no—
1273C2×#41—1581no—
1274C2×#41C22×D7911yescharacteristic
1275C2×#41C22×D7911yescharacteristic
1276C2×#41C22×D7911yescharacteristic, complemented
1277C22×Q8—791no—
1278C22×Q8—791no—
1279C22×Q8—791no—
1280C22×D4—3162no—
1281C22×D4—791no—
1282C22×D4—791no—
1283C22×D4—791no—
1284C22×D4—791no—
1285C22×D4—791no—
1286C22×D4—791no—
1287C22×D4—791no—
1288C22×D4—1581no—
1289C22×D4—1581no—
1290C22×D4—1581no—
1291C22×D4—1581no—
1292C22×D4—1581no—
1293C22×D4—1581no—
1294C22×D4—1584no—
1295C22×D4—1581no—
1296C22×D4C22×D7911yescharacteristic
1297C23×C4—791no—
1298C23×C4—791no—
1299C23×C4—1581no—
1300C23×C4—1581no—
1301C23×C4—1581no—
1302C23×C4—1581no—
1303C23×C4—1581no—
1304AGL(1,ℤ/8)—24no—
1305AGL(1,ℤ/8)—1584no—
1306AGL(1,ℤ/8)—1584no—
1307AGL(1,ℤ/8)—1584no—
1308AGL(1,ℤ/8)—1584no—
1309AGL(1,ℤ/8)—1584no—
1310AGL(1,ℤ/8)—1584no—
1311AGL(1,ℤ/8)—1584no—
1312#135—24no—
1313#135—1584no—
1314#135—1584no—
1315#135—1584no—
1316#135—1584no—
1317#135—1584no—
1318#135—1584no—
1319#135—1584no—
1320C2×Q16—3162no—
1321C2×Q16—791no—
1322C2×Q16—791no—
1323C2×Q16—791no—
1324C2×Q16—791no—
1325C2×Q16—791no—
1326C2×Q16—791no—
1327C2×Q16—1584no—
1328C2×Q16C22×D7911yescharacteristic, complemented
1329C2×Q16C22×D7911yescharacteristic, complemented
1330C2×SD16—3162no—
1331C2×SD16—791no—
1332C2×SD16—791no—
1333C2×SD16—791no—
1334C2×SD16—791no—
1335C2×SD16—791no—
1336C2×SD16—791no—
1337C2×SD16—791no—
1338C2×SD16—791no—
1339C2×SD16—791no—
1340C2×SD16—791no—
1341C2×SD16—791no—
1342C2×SD16—791no—
1343C2×SD16—791no—
1344C2×SD16—791no—
1345C2×SD16—791no—
1346C2×SD16—1584no—
1347C2×SD16—1584no—
1348C2×SD16—1584no—
1349C2×SD16—1584no—
1350C2×SD16C22×D7911yescharacteristic
1351C2×SD16C22×D7911yescharacteristic
1352C2×SD16C22×D7911yescharacteristic
1353C2×SD16C22×D7911yescharacteristic
1354C2×SD16C22×D7911yescharacteristic, complemented
1355C2×D8—791no—
1356C2×D8—791no—
1357C2×D8—798no—
1358C2×D8—791no—
1359C2×D8—791no—
1360C2×D8—791no—
1361C2×D8—791no—
1362C2×D8—1584no—
1363C2×D8C22×D7911yescharacteristic
1364C2×D8C22×D7911yescharacteristic
1365C2×M16—791no—
1366C2×M16—791no—
1367C2×M16—791no—
1368C2×M16—1584no—
1369C2×M16C22×D7911yescharacteristic
1370C22×C8—791no—
1371C22×C8—791no—
1372C22×C8—791no—
1373C22×C8—791no—
1374C22×C8—791no—
1375C22×C8—791no—
1376C22×C8—791no—
1377C22×C8—1584no—
1378C22×C8C22×D7911yescharacteristic, complemented
1379C4⋊Q8—791no—
1380C4⋊Q8—791no—
1381C4⋊Q8—791no—
1382C4⋊Q8—1581no—
1383C4⋊Q8—1581no—
1384C4⋊Q8C22×D7911yescharacteristic, complemented
1385#124—791no—
1386#124—791no—
1387#124—791no—
1388#124—1581no—
1389#124—1581no—
1390#124C22×D7911yescharacteristic
1391#123—21no—
1392#123—21no—
1393#123—21no—
1394#123—1581no—
1395#123—1581no—
1396#123—1581no—
1397#123—1581no—
1398#123—1581no—
1399#123—1581no—
1400#123—1581no—
1401#123—1581no—
1402#123—1581no—
1403#123—1581no—
1404#123—1581no—
1405#123—1581no—
1406#123—1581no—
1407#123—1581no—
1408#123—1581no—
1409#123—1581no—
1410#123—1581no—
1411#123—1581no—
1412#123—1581no—
1413#123—1581no—
1414#123—1581no—
1415C22⋊Q8—791no—
1416C22⋊Q8—791no—
1417C22⋊Q8—791no—
1418C22⋊Q8—791no—
1419C22⋊Q8—791no—
1420C22⋊Q8—791no—
1421C22⋊Q8—791no—
1422C22⋊Q8—791no—
1423C22⋊Q8—791no—
1424C22⋊Q8—1581no—
1425C22⋊Q8—1581no—
1426C22⋊Q8—1581no—
1427C22⋊Q8—1581no—
1428C22⋊Q8—1581no—
1429C22⋊Q8—1581no—
1430C22⋊Q8C22×D7911yescharacteristic
1431C22⋊Q8C22×D7911yescharacteristic
1432C22⋊Q8C22×D7911yescharacteristic, complemented
1433#121—21no—
1434#121—21no—
1435#121—791no—
1436#121—791no—
1437#121—791no—
1438#121—1581no—
1439#121—1581no—
1440#121—1581no—
1441#121—1581no—
1442#121—1581no—
1443#121—1581no—
1444#121—1581no—
1445#121—1581no—
1446#121—1581no—
1447#121—1581no—
1448#121—1581no—
1449#121—1581no—
1450#121—1581no—
1451#121—1581no—
1452#121—1581no—
1453#121—1581no—
1454#121C22×D7911yescharacteristic
1455#120—21no—
1456#120—1581no—
1457#120—1581no—
1458#120—1581no—
1459#120—1581no—
1460#120—1581no—
1461#120—1581no—
1462#120—1581no—
1463C4×D4—791no—
1464C4×D4—791no—
1465C4×D4—791no—
1466C4×D4—791no—
1467C4×D4—791no—
1468C4×D4—791no—
1469C4×D4—791no—
1470C4×D4—791no—
1471C4×D4—791no—
1472C4×D4—791no—
1473C4×D4—791no—
1474C4×D4—791no—
1475C4×D4—791no—
1476C4×D4—1581no—
1477C4×D4—1581no—
1478C4×D4—1581no—
1479C4×D4—1581no—
1480C4×D4C22×D7911yescharacteristic
1481C4×D4C22×D7911yescharacteristic
1482C4×D4C22×D7911yescharacteristic, complemented
1483C2×C4⋊C4—21no—
1484C2×C4⋊C4—791no—
1485C2×C4⋊C4—791no—
1486C2×C4⋊C4—791no—
1487C2×C4⋊C4—1581no—
1488C2×C4⋊C4—1581no—
1489C2×C4⋊C4—1581no—
1490C2×C4⋊C4—1581no—
1491C2×C4⋊C4—1581no—
1492C2×C4⋊C4—1581no—
1493C2×C4⋊C4—1581no—
1494C2×C4⋊C4—1581no—
1495C2×C4⋊C4—1581no—
1496C2×C4⋊C4—1581no—
1497C2×C4⋊C4—1581no—
1498C2×C4⋊C4—1581no—
1499C2×C22⋊C4—21no—
1500C2×C22⋊C4—791no—
1501C2×C22⋊C4—791no—
1502C2×C22⋊C4—1581no—
1503C2×C22⋊C4—1581no—
1504C2×C22⋊C4—1581no—
1505C2×C22⋊C4—1581no—
1506C2×C22⋊C4—1581no—
1507C2×C22⋊C4—1581no—
1508C2×C22⋊C4—1581no—
1509C2×C22⋊C4—1581no—
1510C2×C22⋊C4—1581no—
1511C2×C22⋊C4—1581no—
1512C2×C22⋊C4—1581no—
1513C2×C22⋊C4—1581no—
1514C2×C22⋊C4—1581no—
1515C2×C22⋊C4—1581no—
1516C2×C22⋊C4—1581no—
1517C2×C42—791no—
1518#106—791no—
1519#106—791no—
1520#106—791no—
1521#106C22×D7911yescharacteristic, complemented
1522C4⋊C8—791no—
1523C4⋊C8—791no—
1524C4⋊C8—791no—
1525C4⋊C8C22×D7911yescharacteristic, complemented
1526#103—791no—
1527#103—791no—
1528#103—791no—
1529#103—791no—
1530#103—791no—
1531#103—791no—
1532#103—791no—
1533#103—791no—
1534#103—791no—
1535#103C22×D7911yescharacteristic, complemented
1536#103C22×D7911yescharacteristic, complemented
1537#103C22×D7911yescharacteristic, complemented
1538#102—791no—
1539#102—791no—
1540#102—791no—
1541#102—791no—
1542#102—791no—
1543#102—791no—
1544#102—791no—
1545#102—791no—
1546#102—791no—
1547#102C22×D7911yescharacteristic
1548#102C22×D7911yescharacteristic
1549#102C22×D7911yescharacteristic, complemented
1550C22⋊C8—791no—
1551C22⋊C8—791no—
1552C22⋊C8—791no—
1553C22⋊C8—791no—
1554C22⋊C8—791no—
1555C22⋊C8—791no—
1556C22⋊C8C22×D7911yescharacteristic
1557C22⋊C8C22×D7911yescharacteristic, complemented
1558#97—791no—
1559#97—791no—
1560#97—791no—
1561#97C22×D7911yescharacteristic, complemented
1562C24—21no—
1563C24—3164no—
1564C24—3164no—
1565C24—791no—
1566C24—791no—
1567C24—6322no—
1568C24—1581no—
1569C24—1581no—
1570C24—1581no—
1571C24—1581no—
1572C24—1581no—
1573C24—1581no—
1574#41—22no—
1575#41—22no—
1576#41—22no—
1577#41—41no—
1578#41—41no—
1579#41—41no—
1580#41—3161no—
1581#41—3161no—
1582#41—3161no—
1583#41—3164no—
1584#41—3164no—
1585#41—3164no—
1586#41—3161no—
1587#41—3161no—
1588#41—3161no—
1589#41—3164no—
1590#41—3164no—
1591#41—3164no—
1592#41—3161no—
1593#41—3161no—
1594#41—3161no—
1595#41—1582no—
1596#41—1582no—
1597#41—1582no—
1598#41—1582no—
1599#41—1582no—
1600#41—1582no—
1601#41—1582no—
1602#41—1582no—
1603#41—1582no—
1604C2×Q8—791no—
1605C2×Q8—791no—
1606C2×Q8—791no—
1607C2×Q8—1581no—
1608C2×Q8—1581no—
1609C2×Q8—1581no—
1610C2×Q8—1582no—
1611C2×Q8—1582no—
1612C2×Q8—1582no—
1613C2×Q8—1582no—
1614C2×Q8—1582no—
1615C2×Q8—1582no—
1616C2×Q8C23×D7911yescharacteristic
1617C2×Q8C23×D7911yescharacteristic
1618C2×Q8C23×D7911yescharacteristic
1619C2×D4—22no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—21no—
1624C2×D4—21no—
1625C2×D4—41no—
1626C2×D4—3161no—
1627C2×D4—3164no—
1628C2×D4—3164no—
1629C2×D4—3164no—
1630C2×D4—3161no—
1631C2×D4—3161no—
1632C2×D4—3164no—
1633C2×D4—3162no—
1634C2×D4—3164no—
1635C2×D4—3164no—
1636C2×D4—791no—
1637C2×D4—791no—
1638C2×D4—794no—
1639C2×D4—794no—
1640C2×D4—791no—
1641C2×D4—791no—
1642C2×D4—791no—
1643C2×D4—791no—
1644C2×D4—6322no—
1645C2×D4—1581no—
1646C2×D4—1581no—
1647C2×D4—1581no—
1648C2×D4—1582no—
1649C2×D4—1581no—
1650C2×D4—1582no—
1651C2×D4—1582no—
1652C2×D4—1582no—
1653C2×D4—1582no—
1654C2×D4—1581no—
1655C2×D4—1581no—
1656C2×D4—1581no—
1657C2×D4—1581no—
1658C2×D4—1581no—
1659C2×D4—1582no—
1660C2×D4—1581no—
1661C2×D4—1581no—
1662C2×D4—1581no—
1663C2×D4—1581no—
1664C2×D4—1581no—
1665C2×D4—1581no—
1666C2×D4—1582no—
1667C2×D4—1581no—
1668C2×D4—1581no—
1669C2×D4—1581no—
1670C2×D4D4×D7911yescharacteristic
1671C2×D4C23×D7911yescharacteristic
1672C2×D4C23×D7911yescharacteristic
1673C2×D4C23×D7911yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—3164no—
1680C22×C4—3164no—
1681C22×C4—3164no—
1682C22×C4—3164no—
1683C22×C4—791no—
1684C22×C4—791no—
1685C22×C4—791no—
1686C22×C4—791no—
1687C22×C4—791no—
1688C22×C4—791no—
1689C22×C4—791no—
1690C22×C4—791no—
1691C22×C4—791no—
1692C22×C4—791no—
1693C22×C4—791no—
1694C22×C4—6322no—
1695C22×C4—1581no—
1696C22×C4—1581no—
1697C22×C4—1581no—
1698C22×C4—1581no—
1699C22×C4—1581no—
1700C22×C4—1581no—
1701C22×C4—1581no—
1702C22×C4—1581no—
1703C22×C4—1581no—
1704C22×C4—1581no—
1705C22×C4—1582no—
1706C22×C4—1582no—
1707C22×C4—1582no—
1708C22×C4—1582no—
1709C22×C4—1581no—
1710C22×C4—1581no—
1711C22×C4—1581no—
1712C22×C4—1581no—
1713C22×C4—1581no—
1714C22×C4—1581no—
1715C22×C4—1581no—
1716C22×C4—1581no—
1717C22×C4—1581no—
1718C22×C4—1581no—
1719C22×C4C23×D7911yescharacteristic
1720C22×C4C23×D7911yescharacteristic
1721Q16—22no—
1722Q16—41no—
1723Q16—3161no—
1724Q16—3161no—
1725Q16—3161no—
1726Q16—1582no—
1727Q16—1582no—
1728Q16—1582no—
1729SD16—22no—
1730SD16—22no—
1731SD16—22no—
1732SD16—22no—
1733SD16—41no—
1734SD16—3161no—
1735SD16—3161no—
1736SD16—3161no—
1737SD16—1582no—
1738SD16—1582no—
1739SD16—1582no—
1740SD16—1582no—
1741SD16—1582no—
1742SD16—1582no—
1743SD16—1582no—
1744SD16—1582no—
1745SD16—1582no—
1746SD16—1582no—
1747SD16—1582no—
1748SD16—1582no—
1749D8—22no—
1750D8—794no—
1751D8—794no—
1752D8—794no—
1753D8—1582no—
1754D8—1582no—
1755D8—1582no—
1756D8D4×D7914yescomplemented
1757M16—22no—
1758M16—1582no—
1759M16—1582no—
1760M16—1582no—
1761C2×C8—22no—
1762C2×C8—791no—
1763C2×C8—794no—
1764C2×C8—791no—
1765C2×C8—791no—
1766C2×C8—791no—
1767C2×C8—1582no—
1768C2×C8—1582no—
1769C2×C8—1582no—
1770C2×C8—1582no—
1771C2×C8—1582no—
1772C2×C8—1582no—
1773C2×C8C23×D7911yescharacteristic
1774C2×C8C23×D7911yescharacteristic
1775C2×C8C23×D7911yescharacteristic
1776C2×C8C23×D7911yescharacteristic
1777C4⋊C4—21no—
1778C4⋊C4—21no—
1779C4⋊C4—21no—
1780C4⋊C4—21no—
1781C4⋊C4—21no—
1782C4⋊C4—791no—
1783C4⋊C4—791no—
1784C4⋊C4—791no—
1785C4⋊C4—791no—
1786C4⋊C4—791no—
1787C4⋊C4—1581no—
1788C4⋊C4—1581no—
1789C4⋊C4—1581no—
1790C4⋊C4—1581no—
1791C4⋊C4—1581no—
1792C4⋊C4—1581no—
1793C4⋊C4—1581no—
1794C4⋊C4—1581no—
1795C4⋊C4—1581no—
1796C4⋊C4—1581no—
1797C4⋊C4—1581no—
1798C4⋊C4—1581no—
1799C4⋊C4—1581no—
1800C4⋊C4—1581no—
1801C4⋊C4—1581no—
1802C4⋊C4—1581no—
1803C4⋊C4—1581no—
1804C4⋊C4D4×D7911yescharacteristic
1805C4⋊C4C23×D7911yescharacteristic
1806C4⋊C4C23×D7911yescharacteristic
1807C22⋊C4—21no—
1808C22⋊C4—21no—
1809C22⋊C4—21no—
1810C22⋊C4—21no—
1811C22⋊C4—21no—
1812C22⋊C4—21no—
1813C22⋊C4—21no—
1814C22⋊C4—21no—
1815C22⋊C4—791no—
1816C22⋊C4—791no—
1817C22⋊C4—791no—
1818C22⋊C4—791no—
1819C22⋊C4—791no—
1820C22⋊C4—791no—
1821C22⋊C4—1581no—
1822C22⋊C4—1581no—
1823C22⋊C4—1581no—
1824C22⋊C4—1581no—
1825C22⋊C4—1581no—
1826C22⋊C4—1581no—
1827C22⋊C4—1581no—
1828C22⋊C4—1581no—
1829C22⋊C4—1581no—
1830C22⋊C4—1581no—
1831C22⋊C4—1581no—
1832C22⋊C4—1581no—
1833C22⋊C4—1581no—
1834C22⋊C4—1581no—
1835C22⋊C4—1581no—
1836C22⋊C4—1581no—
1837C22⋊C4—1581no—
1838C22⋊C4—1581no—
1839C22⋊C4—1581no—
1840C22⋊C4—1581no—
1841C22⋊C4—1581no—
1842C22⋊C4—1581no—
1843C22⋊C4—1581no—
1844C22⋊C4—1581no—
1845C22⋊C4D4×D7911yescharacteristic
1846C22⋊C4D4×D7911yescharacteristic
1847C42—791no—
1848C42—791no—
1849C42—791no—
1850C42C23×D7911yescharacteristic
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—42no—
1855C23—42no—
1856C23—81no—
1857C23—3162no—
1858C23—3162no—
1859C23—3162no—
1860C23—3162no—
1861C23—3162no—
1862C23—3162no—
1863C23—3162no—
1864C23—3162no—
1865C23—3162no—
1866C23—3162no—
1867C23—3162no—
1868C23—3162no—
1869C23—3162no—
1870C23—791no—
1871C23—791no—
1872C23—791no—
1873C23—6321no—
1874C23—6321no—
1875C23—6321no—
1876C23—63216no—
1877C23—1584no—
1878C23—1584no—
1879C23—1582no—
1880C23—1582no—
1881C23—1582no—
1882C23—1582no—
1883C23—1582no—
1884C23—1582no—
1885C23—1581no—
1886C23—1581no—
1887C23—1581no—
1888C23C2×D4×D7911yescharacteristic
1889C23C2×D4×D7911yescharacteristic
1890Q8—21no—
1891Q8—21no—
1892Q8—21no—
1893Q8—21no—
1894Q8—21no—
1895Q8—21no—
1896Q8—3162no—
1897Q8—3162no—
1898Q8—3162no—
1899Q8—1581no—
1900Q8—1581no—
1901Q8—1581no—
1902Q8—1581no—
1903Q8—1581no—
1904Q8—1581no—
1905D4—21no—
1906D4—21no—
1907D4—21no—
1908D4—21no—
1909D4—41no—
1910D4—42no—
1911D4—42no—
1912D4—42no—
1913D4—42no—
1914D4—81no—
1915D4—3162no—
1916D4—3161no—
1917D4—3162no—
1918D4—3162no—
1919D4—3162no—
1920D4—3162no—
1921D4—3162no—
1922D4—3162no—
1923D4—3162no—
1924D4—3162no—
1925D4—3162no—
1926D4—3162no—
1927D4—3162no—
1928D4—3161no—
1929D4—3161no—
1930D4—3162no—
1931D4—792no—
1932D4—792no—
1933D4—6321no—
1934D4—6321no—
1935D4—6321no—
1936D4—1584no—
1937D4—1584no—
1938D4—1581no—
1939D4—1581no—
1940D4—1581no—
1941D4—1581no—
1942D4C2×D4×D7912yes—
1943D4C2×D4×D7912yes—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—42no—
1956C2×C4—42no—
1957C2×C4—81no—
1958C2×C4—3162no—
1959C2×C4—3162no—
1960C2×C4—3162no—
1961C2×C4—3162no—
1962C2×C4—3162no—
1963C2×C4—3162no—
1964C2×C4—3162no—
1965C2×C4—3162no—
1966C2×C4—3162no—
1967C2×C4—3162no—
1968C2×C4—3162no—
1969C2×C4—3162no—
1970C2×C4—3162no—
1971C2×C4—3162no—
1972C2×C4—3162no—
1973C2×C4—3162no—
1974C2×C4—3162no—
1975C2×C4—791no—
1976C2×C4—792no—
1977C2×C4—792no—
1978C2×C4—791no—
1979C2×C4—791no—
1980C2×C4—791no—
1981C2×C4—791no—
1982C2×C4—6321no—
1983C2×C4—6321no—
1984C2×C4—6321no—
1985C2×C4—1582no—
1986C2×C4—1582no—
1987C2×C4—1582no—
1988C2×C4—1582no—
1989C2×C4—1582no—
1990C2×C4—1582no—
1991C2×C4—1581no—
1992C2×C4—1581no—
1993C2×C4—1581no—
1994C2×C4—1581no—
1995C2×C4—1581no—
1996C2×C4—1582no—
1997C2×C4—1582no—
1998C2×C4—1581no—
1999C2×C4—1581no—
2000C2×C4—1581no—
2001C2×C4—1581no—
2002C2×C4C2×D4×D7911yescharacteristic
2003C2×C4C2×D4×D7911yescharacteristic
2004C2×C4C2×D4×D7911yescharacteristic
2005C2×C4C2×D4×D7911yescharacteristic
2006C2×C4C24×D7911yescharacteristic
2007C8—21no—
2008C8—21no—
2009C8—21no—
2010C8—792no—
2011C8—1581no—
2012C8—1581no—
2013C8—1581no—
2014C8C2×D4×D7912yes—
2015C22—21no—
2016C22—21no—
2017C22—22no—
2018C22—22no—
2019C22—21no—
2020C22—21no—
2021C22—21no—
2022C22—21no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—84no—
2031C22—3168no—
2032C22—3168no—
2033C22—3164no—
2034C22—3164no—
2035C22—3161no—
2036C22—3161no—
2037C22—3161no—
2038C22—3161no—
2039C22—3161no—
2040C22—3161no—
2041C22—3161no—
2042C22—792no—
2043C22—792no—
2044C22—792no—
2045C22—6324no—
2046C22—6324no—
2047C22—6324no—
2048C22—6324no—
2049C22—1582no—
2050C22—1582no—
2051C22—1581no—
2052C22—1581no—
2053C22—1581no—
2054C22—1581no—
2055C22—1581no—
2056C22—1581no—
2057C22C22×D4×D7911yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—21no—
2061C4—21no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—3161no—
2068C4—3161no—
2069C4—3161no—
2070C4—3161no—
2071C4—3161no—
2072C4—792no—
2073C4—1581no—
2074C4—1581no—
2075C4—1581no—
2076C4—1581no—
2077C4C22×D4×D7911yescharacteristic
2078C4H(5,𝔽2)×D7911yescharacteristic
2079C2—41no—
2080C2—41no—
2081C2—42no—
2082C2—42no—
2083C2—81no—
2084C2—3162no—
2085C2—3162no—
2086C2—3161no—
2087C2—3161no—
2088C2—794no—
2089C2—6321no—
2090C2D42×D7911yescharacteristic
2091C2#575×D7911yescharacteristic
2092C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3267C2
socleC22×C79C23×D4
hypercenter#3267D79
hypocenterC79C2×#3267
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×AGL(1,ℤ/8)×D79C2semidirect
2. C2×#135×D79C2semidirect
3. #547×D79C2semidirect
4. #546×D79C2semidirect
5. #23774932C2semidirect
6. #23774931C2semidirect
7. #23774930C2semidirect
8. #23774929C2semidirect
9. #23774928C2semidirect
10. #23774927C2semidirect
11. #23774926C2semidirect
12. #23774925C2semidirect
13. #23774924C2semidirect
14. #23774923C2semidirect
15. #23774922C2semidirect
16. #23774921C2semidirect
17. #23774920C2semidirect
18. #23774919C2semidirect
19. #23774918C2semidirect
20. #497×D79C2semidirect
21. #470×D79C2semidirect
22. #465×D79C2semidirect
23. #463×D79C2semidirect
24. #461×D79C2semidirect
25. #452×D79C2semidirect
26. #452×D79C2semidirect
27. #449×D79C2semidirect
28. #450×D79C2semidirect
29. #442×D79C2semidirect
30. #435×D79C2semidirect
31. C79×#3267C2semidirect
34. C2×#41×D79C22semidirect
36. C2×#14579189C22semidirect
37. C2×#14579188C22semidirect
38. C2×#14579188C22semidirect
39. C2×#14579187C22semidirect
40. C2×#14579186C22semidirect
41. C2×#14579185C22semidirect
42. C2×#14579185C22semidirect
44. C2×#14579184C22semidirect
45. C2×#14579183C22semidirect
46. C2×#14579182C22semidirect
47. C2×#14579182C22semidirect
48. C2×#14579181C22semidirect
49. C2×#14579181C22semidirect
50. C2×#14579180C22semidirect
52. C2×Q16×D79C22semidirect
53. C2×Q16×D79C22semidirect
58. C2×SD16×D79C22semidirect
62. C22×C8×D79C22semidirect
63. #19099218C22semidirect
64. #19099217C22semidirect
65. #19099216C22semidirect
66. #19099215C22semidirect
67. #19099215C22semidirect
70. #19099212C22semidirect
71. #19099212C22semidirect
74. #19099210C22semidirect
75. #19099209C22semidirect
76. #19099208C22semidirect
77. #19099207C22semidirect
78. #19099206C22semidirect
80. #19099204C22semidirect
83. #19099201C22semidirect
85. C4⋊Q8×D79C22semidirect
92. C22⋊Q8×D79C22semidirect
99. C4×D4×D79C22semidirect
102. #19098958C22semidirect
103. #19098957C22semidirect
104. #19098956C22semidirect
105. #19098956C22semidirect
106. #19098955C22semidirect
107. #19098954C22semidirect
108. #19098954C22semidirect
109. #19098822C22semidirect
110. #19098821C22semidirect
111. #19098820C22semidirect
112. #19098820C22semidirect
113. #19098819C22semidirect
114. #19098819C22semidirect
115. #19098818C22semidirect
116. #19098795C22semidirect
117. #19098794C22semidirect
118. #19098793C22semidirect
119. #19098792C22semidirect
120. #19098791C22semidirect
121. #19098790C22semidirect
122. #19098789C22semidirect
123. #19098781C22semidirect
124. #19098780C22semidirect
125. #19098779C22semidirect
126. #19098778C22semidirect
127. #19098777C22semidirect
128. #19098776C22semidirect
129. #19098775C22semidirect
130. #19098769C22semidirect
131. #19098768C22semidirect
132. #19098767C22semidirect
133. #19098767C22semidirect
134. #19098766C22semidirect
135. #19098766C22semidirect
136. #19098765C22semidirect
137. #19098728C22semidirect
138. #19098728C22semidirect
139. #19098727C22semidirect
140. #19098727C22semidirect
141. #19098726C22semidirect
142. #19098726C22semidirect
143. #19098725C22semidirect
144. #19098725C22semidirect
145. #19098724C22semidirect
146. #19098724C22semidirect
147. #19098723C22semidirect
148. #19098723C22semidirect
149. #19098722C22semidirect
150. #19098722C22semidirect
151. #19098716C22semidirect
152. #19098715C22semidirect
153. #19098715C22semidirect
154. #19098714C22semidirect
155. #19098713C22semidirect
156. #19098712C22semidirect
157. #19098712C22semidirect
158. #19098711C22semidirect
159. #19098710C22semidirect
160. #19098709C22semidirect
161. #19098708C22semidirect
162. #19098707C22semidirect
163. #19098706C22semidirect
164. #19098705C22semidirect
165. #19098676C22semidirect
166. #19098675C22semidirect
167. #19098674C22semidirect
168. #19098673C22semidirect
169. #19098673C22semidirect
170. #19098672C22semidirect
171. #19098672C22semidirect
172. #19098637C22semidirect
173. #19098636C22semidirect
174. #19098635C22semidirect
175. #19098634C22semidirect
176. #19098633C22semidirect
177. #19098632C22semidirect
178. #19098631C22semidirect
179. #106×D79C22semidirect
180. C4⋊C8×D79C22semidirect
181. #103×D79C22semidirect
182. #103×D79C22semidirect
183. #103×D79C22semidirect
186. #102×D79C22semidirect
188. C22⋊C8×D79C22semidirect
189. #97×D79C22semidirect
190. C2×AGL(1,ℤ/8)×C79C22semidirect
191. C2×#135×C79C22semidirect
192. #547×C79C22semidirect
193. #546×C79C22semidirect
194. #497×C79C22semidirect
195. #470×C79C22semidirect
196. #465×C79C22semidirect
197. #463×C79C22semidirect
198. #461×C79C22semidirect
199. #452×C79C22semidirect
200. #452×C79C22semidirect
201. #450×C79C22semidirect
202. #449×C79C22semidirect
203. #442×C79C22semidirect
204. #435×C79C22semidirect
208. C2×#11929625C23semidirect
214. C2×#11929624C23semidirect
220. C2×#11929623C23semidirect
267. C2×Dic316C23semidirect
268. C2×Dic316C23semidirect
269. C2×#11929614C23semidirect
270. C2×#11929614C23semidirect
271. C2×#11929614C23semidirect
272. C2×#11929614C23semidirect
279. C2×#11929613C23semidirect
284. C2×#11929612C23semidirect
289. C2×#11929611C23semidirect
302. D8×D79D4semidirect
307. C22×C79⋊C8C23semidirect
313. C2×C8×D79C23semidirect
314. C2×C8×D79C23semidirect
315. #14579161C23semidirect
318. #14579159C23semidirect
319. #14579159C23semidirect
348. #14579141C23semidirect
351. #14579140C23semidirect
360. #14579137C23semidirect
389. C4×D316C23semidirect
392. D4×Dic79C23semidirect
395. #14579123C23semidirect
437. #14579093C23semidirect
438. #14579092C23semidirect
439. #14579092C23semidirect
440. C4⋊(C79⋊C8)C23semidirect
441. Dic79⋊C8C23semidirect
442. Dic79⋊C8C23semidirect
443. #14579086C23semidirect
444. #14579086C23semidirect
445. #14579086C23semidirect
446. #14579085C23semidirect
447. #14579085C23semidirect
448. #14579085C23semidirect
449. #14579084C23semidirect
450. #14579084C23semidirect
451. #14579084C23semidirect
454. #14579083C23semidirect
457. #14579082C23semidirect
460. #14579081C23semidirect
462. C22⋊(C79⋊C8)C23semidirect
465. (C2×D79)⋊C8C23semidirect
466. (C2×D79)⋊C8C23semidirect
467. #14579072C23semidirect
468. #14579071C23semidirect
469. #14579071C23semidirect
472. C2×#41×C79C23semidirect
476. C2×Q16×C79C23semidirect
477. C2×Q16×C79C23semidirect
482. C2×SD16×C79C23semidirect
486. C22×C8×C79C23semidirect
487. C4⋊Q8×C79C23semidirect
494. C22⋊Q8×C79C23semidirect
501. C4×D4×C79C23semidirect
504. #106×C79C23semidirect
505. C4⋊C8×C79C23semidirect
506. #103×C79C23semidirect
507. #103×C79C23semidirect
508. #103×C79C23semidirect
511. #102×C79C23semidirect
513. C22⋊C8×C79C23semidirect
514. #97×C79C23semidirect
668. D632C2×D4semidirect
671. #11929609C2×D4semidirect
672. #11929609C2×D4semidirect
778. D8×C79C2×D4semidirect
1046. D79#3267direct (N × H)
1066. #3267D79direct (N × H)
1078. C79C2×#3267semidirect
1091. C2×AGL(1,ℤ/8)C2×D79semidirect
1100. C2×#135C2×D79semidirect
1123. #547C2×D79semidirect
1135. #546C2×D79semidirect
1160. #497C2×D79semidirect
1168. #470C2×D79semidirect
1176. #465C2×D79semidirect
1184. #463C2×D79semidirect
1192. #461C2×D79semidirect
1207. #452C2×D79semidirect
1208. #452C2×D79semidirect
1216. #450C2×D79semidirect
1224. #449C2×D79semidirect
1232. #442C2×D79semidirect
1240. #435C2×D79semidirect
1276. C2×#41C22×D79semidirect
1328. C2×Q16C22×D79semidirect
1329. C2×Q16C22×D79semidirect
1354. C2×SD16C22×D79semidirect
1378. C22×C8C22×D79semidirect
1384. C4⋊Q8C22×D79semidirect
1432. C22⋊Q8C22×D79semidirect
1482. C4×D4C22×D79semidirect
1521. #106C22×D79semidirect
1525. C4⋊C8C22×D79semidirect
1535. #103C22×D79semidirect
1536. #103C22×D79semidirect
1537. #103C22×D79semidirect
1549. #102C22×D79semidirect
1557. C22⋊C8C22×D79semidirect
1561. #97C22×D79semidirect
1756. D8D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×AGL(1,ℤ/8)×D792
C2×#135×D792
#547×D792
#546×D792
#237749322
#237749312
#237749302
#237749292
#237749282
#237749272
#237749262
#237749252
#237749242
#237749232
#237749222
#237749212
#237749202
#237749192
#237749182
#497×D792
#470×D792
#465×D792
#463×D792
#461×D792
#452×D792
#449×D792
#450×D792
#442×D792
#435×D792
C79×#32672
C2×#326779