Finite Group Databasebeta

← #3275×D79 #35163391

Subgroups — #3275×D79 #35163391

Order 20224.

2902 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×#137×D79C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D79C211yesmaximal, characteristic, complemented
3#548×D79C211yesmaximal, characteristic, complemented
4#546×D79C211yesmaximal, characteristic, complemented
5#23775038C211yesmaximal, characteristic, complemented
6#23775037C211yesmaximal, characteristic, complemented
7#23775036C211yesmaximal, characteristic, complemented
8#23775035C211yesmaximal, characteristic, complemented
9#23775034C211yesmaximal, characteristic, complemented
10#23775033C211yesmaximal, characteristic, complemented
11#23775032C211yesmaximal, characteristic, complemented
12#23775031C211yesmaximal, characteristic, complemented
13#23775030C211yesmaximal, characteristic, complemented
14#23775029C211yesmaximal, characteristic, complemented
15#23775028C211yesmaximal, characteristic, complemented
16#23775027C211yesmaximal, characteristic, complemented
17#23775026C211yesmaximal, characteristic, complemented
18#23775025C211yesmaximal, characteristic, complemented
19#23775024C211yesmaximal, characteristic, complemented
20#495×D79C211yesmaximal, characteristic, complemented
21#470×D79C211yesmaximal, characteristic, complemented
22#469×D79C211yesmaximal, characteristic, complemented
23#464×D79C211yesmaximal, characteristic, complemented
24#463×D79C211yesmaximal, characteristic, complemented
25#452×D79C211yesmaximal, characteristic, complemented
26#449×D79C211yesmaximal, characteristic, complemented
27#448×D79C211yesmaximal, characteristic, complemented
28#450×D79C211yesmaximal, characteristic, complemented
29C4×SD16×D79C211yesmaximal, characteristic, complemented
30#436×D79C211yesmaximal, characteristic, complemented
31C79×#3275C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34C22×Q8×D79C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic
36C2×#14579194C2211yescharacteristic, complemented
37C2×#14579193C2211yescharacteristic, complemented
38C2×#14579193C2211yescharacteristic, complemented
39C2×#14579192C2211yescharacteristic, complemented
40C2×#14579191C2211yescharacteristic, complemented
41C2×#14579190C2211yescharacteristic, complemented
42C2×#14579190C2211yescharacteristic, complemented
43#137×D79—28no—
44C2×#14579189C2211yescharacteristic, complemented
45C2×#14579188C2211yescharacteristic, complemented
46C2×#14579188C2211yescharacteristic, complemented
47C2×#14579187C2211yescharacteristic, complemented
48C2×#14579186C2211yescharacteristic, complemented
49C2×#14579185C2211yescharacteristic, complemented
50C2×#14579185C2211yescharacteristic, complemented
51AGL(1,ℤ/8)×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
62C2×M16×D79C2211yescharacteristic, complemented
63#19099225C2211yescharacteristic, complemented
64#19099224C2211yescharacteristic, complemented
65#19099223—21no—
66#19099223C2211yescharacteristic, complemented
67#19099222—21no—
68#19099222C2211yescharacteristic, complemented
69#19099221—21no—
70#19099221C2211yescharacteristic, complemented
71#19099220C2211yescharacteristic, complemented
72#19099219—21no—
73#19099219C2211yescharacteristic, complemented
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—
85#124×D79—21no—
86#124×D79C2211yescharacteristic
87#124×D79C2211yescharacteristic, complemented
88#123×D79—21no—
89C22⋊Q8×D79—21no—
90C22⋊Q8×D79C2211yescharacteristic
91C22⋊Q8×D79C2211yescharacteristic
92#121×D79—21no—
93#121×D79—21no—
94#121×D79C2211yescharacteristic
95#121×D79C2211yescharacteristic, complemented
96#120×D79—21no—
97C4×Q8×D79C2211yescharacteristic, complemented
98C4×D4×D79—21no—
99C4×D4×D79C2211yescharacteristic
100C4×D4×D79C2211yescharacteristic
101C2×C22⋊C4×D79—21no—
102#19098948C2211yescharacteristic, complemented
103#19098947C2211yescharacteristic, complemented
104#19098946C2211yescharacteristic, complemented
105#19098945C2211yescharacteristic, complemented
106#19098945C2211yescharacteristic, complemented
107#19098944C2211yescharacteristic, complemented
108#19098944C2211yescharacteristic, complemented
109#19098822C2211yescharacteristic, complemented
110#19098821C2211yescharacteristic, complemented
111#19098820C2211yescharacteristic, complemented
112#19098820C2211yescharacteristic, complemented
113#19098819C2211yescharacteristic, complemented
114#19098819C2211yescharacteristic, complemented
115#19098818C2211yescharacteristic, complemented
116#19098817C2211yescharacteristic, complemented
117#19098816C2211yescharacteristic, complemented
118#19098815C2211yescharacteristic, complemented
119#19098815C2211yescharacteristic, complemented
120#19098814C2211yescharacteristic, complemented
121#19098814C2211yescharacteristic, complemented
122#19098813C2211yescharacteristic, complemented
123#19098788C2211yescharacteristic, complemented
124#19098787C2211yescharacteristic, complemented
125#19098786C2211yescharacteristic, complemented
126#19098785C2211yescharacteristic, complemented
127#19098784C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098781C2211yescharacteristic, complemented
131#19098780C2211yescharacteristic, complemented
132#19098779C2211yescharacteristic, complemented
133#19098778C2211yescharacteristic, complemented
134#19098777C2211yescharacteristic, complemented
135#19098776C2211yescharacteristic, complemented
136#19098775C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098727C2211yescharacteristic, complemented
139#19098726C2211yescharacteristic, complemented
140#19098725C2211yescharacteristic, complemented
141#19098724C2211yescharacteristic, complemented
142#19098723C2211yescharacteristic, complemented
143#19098722C2211yescharacteristic, complemented
144#19098716C2211yescharacteristic, complemented
145#19098715C2211yescharacteristic, complemented
146#19098715C2211yescharacteristic, complemented
147#19098714C2211yescharacteristic, complemented
148#19098713C2211yescharacteristic, complemented
149#19098712C2211yescharacteristic, complemented
150#19098712C2211yescharacteristic, complemented
151#19098711C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098709C2211yescharacteristic, complemented
154#19098708C2211yescharacteristic, complemented
155#19098707C2211yescharacteristic, complemented
156#19098706C2211yescharacteristic, complemented
157#19098705C2211yescharacteristic, complemented
158#19098704C2211yescharacteristic, complemented
159#19098703C2211yescharacteristic, complemented
160#19098703C2211yescharacteristic, complemented
161#19098702C2211yescharacteristic, complemented
162#19098701C2211yescharacteristic, complemented
163#19098700C2211yescharacteristic, complemented
164#19098700C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166C4×#11929613C2211yescharacteristic, complemented
167SD16×Dic79C2211yescharacteristic, complemented
168C4×#11929611C2211yescharacteristic, complemented
169#19098650C2211yescharacteristic, complemented
170C4×#11929612C2211yescharacteristic, complemented
171#19098648C2211yescharacteristic, complemented
172#19098642C2211yescharacteristic, complemented
173#19098641C2211yescharacteristic, complemented
174#19098640C2211yescharacteristic, complemented
175#19098639C2211yescharacteristic, complemented
176#19098639C2211yescharacteristic, complemented
177#19098638C2211yescharacteristic, complemented
178#19098638C2211yescharacteristic, 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
189C4×C8×D79C2211yescharacteristic, complemented
190C2×#137×C79C2211yescharacteristic, complemented
191C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
192#548×C79C2211yescharacteristic, complemented
193#546×C79C2211yescharacteristic, complemented
194#495×C79C2211yescharacteristic, complemented
195#470×C79C2211yescharacteristic, complemented
196#469×C79C2211yescharacteristic, complemented
197#464×C79C2211yescharacteristic, complemented
198#463×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200#450×C79C2211yescharacteristic, complemented
201#449×C79C2211yescharacteristic, complemented
202#448×C79C2211yescharacteristic, complemented
203C4×SD16×C79C2211yescharacteristic, complemented
204#436×C79C2211yescharacteristic, complemented
205C24×D79—21no—
206C2×#11929625C2311yescharacteristic
207C2×#11929625C2311yescharacteristic
208C2×#11929624—21no—
209C2×#11929624—21no—
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929623—21no—
213C2×#11929623—21no—
214C2×#11929623C2311yescharacteristic
215C2×#11929623C2311yescharacteristic
216#41×D79—24no—
217#41×D79—24no—
218#41×D79—42no—
219#41×D79—42no—
220C22×Dic158—21no—
221C22×Dic158C2311yescharacteristic, complemented
222C2×Q8×D79—21no—
223C2×Q8×D79—21no—
224C2×Q8×D79—24no—
225C2×Q8×D79—42no—
226C2×Q8×D79C2311yescharacteristic
227C2×Q8×D79C2311yescharacteristic
228C2×Q8×D79C2311yescharacteristic
229C2×Q8×D79C2311yescharacteristic, complemented
230C2×Q8×D79C2311yescharacteristic, complemented
231C22×D316C2311yescharacteristic
232C22×C22⋊D79—21no—
233C2×D4×D79—24no—
234C2×D4×D79—21no—
235C2×D4×D79—21no—
236C2×D4×D79—21no—
237C2×D4×D79—21no—
238C2×D4×D79—21no—
239C2×D4×D79—21no—
240C2×D4×D79—42no—
241C2×D4×D79D411yescharacteristic
242C2×D4×D79C2311yescharacteristic
243C2×D4×D79C2311yescharacteristic
244C2×D4×D79C2311yescharacteristic
245C2×D4×D79C2311yescharacteristic
246C2×D4×D79C2311yescharacteristic
247C22×C4×D79—21no—
248C22×C4×D79—21no—
249C22×C4×D79—21no—
250C22×C4×D79—21no—
251C22×C4×D79C2311yescharacteristic
252C22×C4×D79C2311yescharacteristic
253#14579194—24no—
254#14579193—24no—
255#14579193—24no—
256#14579192—24no—
257#14579191—24no—
258#14579190—24no—
259#14579190—24no—
260#14579189—24no—
261#14579188—24no—
262#14579188—24no—
263#14579187—24no—
264#14579186—24no—
265#14579185—24no—
266#14579185—24no—
267C2×Dic316C2311yescharacteristic, complemented
268C2×Dic316C2311yescharacteristic, complemented
269C2×#11929614C2311yescharacteristic, complemented
270C2×#11929614C2311yescharacteristic, complemented
271C2×#11929614C2311yescharacteristic, complemented
272C2×#11929614C2311yescharacteristic, complemented
273Q16×D79—24no—
274Q16×D79—24no—
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—42no—
293SD16×D79—42no—
294SD16×D79D418yescomplemented
295C2×D632C2311yescharacteristic
296C2×D632C2311yescharacteristic
297C2×#11929609C2311yescharacteristic
298C2×#11929609C2311yescharacteristic
299C2×#11929609C2311yescharacteristic
300C2×#11929609C2311yescharacteristic
301D8×D79—24no—
302D8×D79—24no—
303C2×#11929608C2311yescharacteristic
304C2×#11929608C2311yescharacteristic, complemented
305C2×#11929607C2311yescharacteristic
306C2×#11929607C2311yescharacteristic
307C2×#11929607C2311yescharacteristic, complemented
308C2×#11929607C2311yescharacteristic, complemented
309M16×D79—24no—
310M16×D79—24no—
311C2×C8×D79C2311yescharacteristic
312C2×C8×D79C2311yescharacteristic
313C2×C8×D79C2311yescharacteristic
314C2×C8×D79C2311yescharacteristic
315#14579150—21no—
316#14579150C2311yescharacteristic
317#14579150C2311yescharacteristic, complemented
318#14579149—21no—
319#14579149C2311yescharacteristic
320#14579149C2311yescharacteristic, complemented
321#14579148—21no—
322#14579148C2311yescharacteristic
323#14579148C2311yescharacteristic, complemented
324#14579147—21no—
325#14579147—21no—
326#14579147—21no—
327#14579147—21no—
328#14579147—21no—
329#14579147—21no—
330#14579147—21no—
331#14579147—21no—
332#14579146—21no—
333#14579146—21no—
334#14579145—21no—
335#14579144—21no—
336#14579143—21no—
337#14579143—21no—
338#14579142—21no—
339#14579141—21no—
340#14579141C2311yescharacteristic
341#14579141C2311yescharacteristic
342#14579140—21no—
343#14579140C2311yescharacteristic
344#14579140C2311yescharacteristic
345#14579139—21no—
346#14579139—21no—
347#14579139—21no—
348#14579139—21no—
349#14579138—21no—
350#14579138—21no—
351#14579138—21no—
352#14579138—21no—
353#14579137—21no—
354#14579137C2311yescharacteristic
355#14579137C2311yescharacteristic
356#14579136—21no—
357#14579136—21no—
358#14579136C2311yescharacteristic
359#14579136C2311yescharacteristic, complemented
360#14579135—21no—
361#14579135—21no—
362#14579135C2311yescharacteristic
363#14579135C2311yescharacteristic, complemented
364#14579134—21no—
365#14579134—21no—
366#14579134—21no—
367#14579134—21no—
368#14579134—21no—
369#14579134—21no—
370#14579133—21no—
371#14579133—21no—
372#14579133—21no—
373#14579133—21no—
374#14579133—21no—
375#14579133—21no—
376#14579132—21no—
377#14579132—21no—
378#14579132C2311yescharacteristic
379#14579132C2311yescharacteristic, complemented
380#14579131—21no—
381#14579131—21no—
382#14579131—21no—
383#14579130—21no—
384#14579129—21no—
385#14579129—21no—
386#14579129—21no—
387Q8×Dic79C2311yescharacteristic, complemented
388C4×Dic158—21no—
389C4×Dic158C2311yescharacteristic, complemented
390#14579126—21no—
391#14579126C2311yescharacteristic, complemented
392C4×D316—21no—
393C4×D316C2311yescharacteristic
394C4×D316C2311yescharacteristic
395D4×Dic79—21no—
396D4×Dic79D411yescharacteristic
397D4×Dic79C2311yescharacteristic
398#14579123—21no—
399#14579123D411yescharacteristic
400#14579123C2311yescharacteristic
401C4×C22⋊D79—21no—
402C4×C22⋊D79—21no—
403C4×C22⋊D79—21no—
404C4×C22⋊D79C2311yescharacteristic
405C4×C22⋊D79C2311yescharacteristic
406(C22⋊D79)⋊C4—21no—
407(C22⋊D79)⋊C4—21no—
408(C22⋊D79)⋊C4—21no—
409(C22⋊D79)⋊C4D411yescharacteristic
410(C22⋊D79)⋊C4D411yescharacteristic
411C4⋊C4×D79—21no—
412C4⋊C4×D79—21no—
413C4⋊C4×D79—21no—
414C4⋊C4×D79D411yescharacteristic
415C4⋊C4×D79C2311yescharacteristic
416C4⋊C4×D79C2311yescharacteristic
417C2×C22⋊Dic79—21no—
418C2×(C2×D79)⋊C4—21no—
419C2×(C2×D79)⋊C4—21no—
420C22⋊C4×D79—21no—
421C22⋊C4×D79—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×D79D411yescharacteristic
434C22⋊C4×D79D411yescharacteristic
435C42×D79—21no—
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
467C4×C79⋊C8C2311yescharacteristic, complemented
468C8×Dic79C2311yescharacteristic, complemented
469C8×Dic79C2311yescharacteristic, complemented
470C2×#41×C79C2311yescharacteristic
471C2×#41×C79C2311yescharacteristic
472C22×Q8×C79C2311yescharacteristic, complemented
473C22×D4×C79C2311yescharacteristic
474#137×C79—24no—
475AGL(1,ℤ/8)×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
486C2×M16×C79C2311yescharacteristic, complemented
487#124×C79—21no—
488#124×C79C2311yescharacteristic
489#124×C79C2311yescharacteristic, complemented
490#123×C79—21no—
491C22⋊Q8×C79—21no—
492C22⋊Q8×C79C2311yescharacteristic
493C22⋊Q8×C79C2311yescharacteristic
494#121×C79—21no—
495#121×C79—21no—
496#121×C79C2311yescharacteristic
497#121×C79C2311yescharacteristic, complemented
498#120×C79—21no—
499C4×Q8×C79C2311yescharacteristic, complemented
500C4×D4×C79—21no—
501C4×D4×C79C2311yescharacteristic
502C4×D4×C79C2311yescharacteristic
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
514C4×C8×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—41no—
529#11929625—41no—
530#11929624—22no—
531#11929624—22no—
532#11929624—44no—
533#11929624—41no—
534#11929624—41no—
535#11929624—44no—
536#11929623—22no—
537#11929623—22no—
538#11929623—44no—
539#11929623—41no—
540#11929623—41no—
541#11929623—44no—
542C2×Dic158—21no—
543C2×Dic158—22no—
544C2×Dic158—21no—
545C2×Dic158—21no—
546C2×Dic158—21no—
547C2×Dic158—21no—
548C2×Dic158—21no—
549C2×Dic158—41no—
550C2×Dic158—44no—
551C2×Dic158C2411yescharacteristic
552C2×Dic158C2411yescharacteristic
553C2×Dic158C2411yescharacteristic
554Q8×D79—22no—
555Q8×D79—22no—
556Q8×D79—22no—
557Q8×D79—22no—
558Q8×D79—22no—
559Q8×D79—22no—
560Q8×D79—22no—
561Q8×D79—41no—
562Q8×D79—41no—
563Q8×D79—44no—
564Q8×D79—44no—
565Q8×D79C2×D414yes—
566C2×D316—21no—
567C2×D316—21no—
568C2×D316—21no—
569C2×D316—21no—
570C2×D316—22no—
571C2×D316—21no—
572C2×D316—41no—
573C2×D316C2×D411yescharacteristic
574C2×D316C2411yescharacteristic
575C2×D316C2411yescharacteristic
576C2×D316C2411yescharacteristic
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—21no—
587C2×C22⋊D79—21no—
588C2×C22⋊D79—21no—
589C2×C22⋊D79—21no—
590C2×C22⋊D79—44no—
591C2×C22⋊D79C2×D411yescharacteristic
592C2×C22⋊D79C2×D411yescharacteristic
593D4×D79—22no—
594D4×D79—22no—
595D4×D79—22no—
596D4×D79—22no—
597D4×D79—22no—
598D4×D79—22no—
599D4×D79—22no—
600D4×D79—44no—
601D4×D79—41no—
602D4×D79—41no—
603D4×D79—42no—
604D4×D79—44no—
605D4×D79—44no—
606D4×D79—44no—
607D4×D79—44no—
608D4×D79—82no—
609D4×D79C2×D414yes—
610C22×Dic79—21no—
611C22×Dic79—21no—
612C22×Dic79—21no—
613C22×Dic79—21no—
614C22×Dic79C2×D411yescharacteristic
615C22×Dic79C2×D411yescharacteristic
616C2×C4×D79—22no—
617C2×C4×D79—22no—
618C2×C4×D79—22no—
619C2×C4×D79—22no—
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—21no—
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—22no—
648#11929614—22no—
649#11929614—22no—
650#11929614—22no—
651#11929614—22no—
652#11929613—22no—
653#11929613—22no—
654#11929613—41no—
655#11929613—41no—
656#11929613C2×D414yescomplemented
657#11929612—22no—
658#11929612—22no—
659#11929612—41no—
660#11929612—41no—
661#11929612C2×D414yescomplemented
662#11929611—22no—
663#11929611—22no—
664#11929611—41no—
665#11929611—41no—
666#11929611C2×D414yescomplemented
667D632—22no—
668D632—22no—
669#11929609—22no—
670#11929609—22no—
671#11929609—22no—
672#11929609—22no—
673#11929608—22no—
674#11929608—22no—
675#11929607—22no—
676#11929607—22no—
677#11929607—22no—
678#11929607—22no—
679C2×C79⋊C8C2411yescharacteristic
680C2×C79⋊C8C2411yescharacteristic
681C2×C79⋊C8C2411yescharacteristic
682C2×C79⋊C8C2411yescharacteristic
683C8×D79—22no—
684C8×D79—22no—
685C8×D79—22no—
686C8×D79C2×D414yes—
687C4⋊Dic79—21no—
688C4⋊Dic79—21no—
689C4⋊Dic79—21no—
690C4⋊Dic79C2×D411yescharacteristic
691C4⋊Dic79C2411yescharacteristic
692C4⋊Dic79C2411yescharacteristic
693Dic79⋊C4—21no—
694Dic79⋊C4—21no—
695Dic79⋊C4—21no—
696Dic79⋊C4—21no—
697Dic79⋊C4—21no—
698Dic79⋊C4—21no—
699Dic79⋊C4—21no—
700Dic79⋊C4—21no—
701Dic79⋊C4C2×D411yescharacteristic
702Dic79⋊C4C2×D411yescharacteristic
703C22⋊Dic79—21no—
704C22⋊Dic79—21no—
705C22⋊Dic79—21no—
706C22⋊Dic79—21no—
707C22⋊Dic79—21no—
708C22⋊Dic79—21no—
709C22⋊Dic79—21no—
710C22⋊Dic79—21no—
711C22⋊Dic79—21no—
712C22⋊Dic79C2×D411yescharacteristic
713C22⋊Dic79C2×D411yescharacteristic
714(C2×D79)⋊C4—21no—
715(C2×D79)⋊C4—21no—
716(C2×D79)⋊C4—21no—
717(C2×D79)⋊C4—21no—
718(C2×D79)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
733(C2×D79)⋊C4C2×D411yescharacteristic
734(C2×D79)⋊C4C2×D411yescharacteristic
735(C2×D79)⋊C4C2×D411yescharacteristic
736C4×Dic79—21no—
737C4×Dic79—21no—
738C4×Dic79—21no—
739C4×Dic79C2×D411yescharacteristic
740C4×Dic79C2×D411yescharacteristic
741C4×Dic79C2411yescharacteristic
742C24×C79—21no—
743#41×C79—22no—
744#41×C79—22no—
745#41×C79—41no—
746#41×C79—41no—
747C2×Q8×C79—21no—
748C2×Q8×C79—22no—
749C2×Q8×C79—41no—
750C2×Q8×C79C2411yescharacteristic
751C2×Q8×C79C2411yescharacteristic
752C2×Q8×C79C2411yescharacteristic
753C2×D4×C79—22no—
754C2×D4×C79—21no—
755C2×D4×C79—21no—
756C2×D4×C79—21no—
757C2×D4×C79—21no—
758C2×D4×C79—21no—
759C2×D4×C79—41no—
760C2×D4×C79C2×D411yescharacteristic
761C2×D4×C79C2411yescharacteristic
762C2×D4×C79C2411yescharacteristic
763C2×D4×C79C2411yescharacteristic
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—22no—
772SD16×C79—22no—
773SD16×C79—22no—
774SD16×C79—41no—
775SD16×C79—41no—
776SD16×C79C2×D414yescomplemented
777D8×C79—22no—
778D8×C79—22no—
779M16×C79—22no—
780M16×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×C79C2×D411yescharacteristic
789C4⋊C4×C79C2411yescharacteristic
790C4⋊C4×C79C2411yescharacteristic
791C22⋊C4×C79—21no—
792C22⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
801C22⋊C4×C79C2×D411yescharacteristic
802C42×C79—21no—
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—22no—
814C22×D79—22no—
815C22×D79—24no—
816C22×D79—22no—
817C22×D79—22no—
818C22×D79—22no—
819C22×D79—22no—
820C22×D79—21no—
821C22×D79—21no—
822C22×D79—42no—
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—42no—
849Q8×C79C22×D412yes—
850D4×C79—21no—
851D4×C79—21no—
852D4×C79—21no—
853D4×C79—21no—
854D4×C79—21no—
855D4×C79—41no—
856D4×C79—42no—
857D4×C79—42no—
858D4×C79—42no—
859D4×C79—42no—
860D4×C79—81no—
861D4×C79C22×D412yes—
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—21no—
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—41no—
882C22⋊D79—41no—
883C22⋊D79—42no—
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—21no—
896C2×Dic79—22no—
897C2×Dic79—22no—
898C2×Dic79—21no—
899C2×Dic79—21no—
900C2×Dic79—21no—
901C2×Dic79—21no—
902C2×Dic79—42no—
903C2×Dic79—42no—
904C2×Dic79—42no—
905C2×Dic79—81no—
906C2×Dic79C22×D411yescharacteristic
907C2×Dic79C22×D411yescharacteristic
908C2×Dic79C22×D411yescharacteristic
909C2×Dic79C22×D411yescharacteristic
910C2×Dic79C22×D411yescharacteristic
911D316—21no—
912D316—21no—
913D316—21no—
914D316—21no—
915D316—21no—
916D316—41no—
917D316—42no—
918D316—42no—
919D316—42no—
920D316—42no—
921D316—81no—
922D316C22×D412yes—
923C4×D79—22no—
924C4×D79—22no—
925C4×D79—24no—
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—81no—
945C4×D79—81no—
946C4×D79C22×D412yes—
947C4×D79H(5,𝔽2)12yes—
948Dic158—21no—
949Dic158—24no—
950Dic158—21no—
951Dic158—21no—
952Dic158—21no—
953Dic158—21no—
954Dic158—42no—
955Dic158—42no—
956Dic158—42no—
957Dic158—42no—
958Dic158—42no—
959Dic158C22×D412yes—
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—21no—
970C22×C79—21no—
971C22×C79—21no—
972C22×C79—21no—
973C22×C79—21no—
974C22×C79—21no—
975C22×C79—41no—
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—21no—
987C2×D79—21no—
988C2×D79—21no—
989C2×D79—21no—
990C2×D79—21no—
991C2×D79—21no—
992C2×D79—41no—
993C2×D79—41no—
994C2×D79—44no—
995C2×D79—44no—
996C2×D79—48no—
997C2×D79—41no—
998C2×D79—41no—
999C2×D79—41no—
1000C2×D79—41no—
1001C2×D79—41no—
1002C2×D79—41no—
1003C2×D79—84no—
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—22no—
1014C4×C79—21no—
1015C4×C79—21no—
1016C4×C79—41no—
1017C4×C79—41no—
1018C4×C79—41no—
1019C4×C79—41no—
1020C4×C79C23×D411yescharacteristic
1021C4×C79C2×H(5,𝔽2)11yescharacteristic
1022Dic79—21no—
1023Dic79—22no—
1024Dic79—21no—
1025Dic79—21no—
1026Dic79—21no—
1027Dic79—41no—
1028Dic79—41no—
1029Dic79—41no—
1030Dic79—41no—
1031Dic79D4212yes—
1032C2×#3275—791nomaximal, Sylow
1033C2×C79—41no—
1034C2×C79—42no—
1035C2×C79—41no—
1036C2×C79—81no—
1037C2×C79—81no—
1038C2×C79C2×D4211yescharacteristic
1039C2×C79C2×#57511yescharacteristic
1040C2×C79C2×#57711yescharacteristic
1041D79—41no—
1042D79—41no—
1043D79—42no—
1044D79—81no—
1045D79—81no—
1046D79#327514yesdirect product factor
1047C22×#137—791no—
1048C22×AGL(1,ℤ/8)—791no—
1049C2×#548—791no—
1050C2×#546—791no—
1051#3275—791no—
1052#3275—791no—
1053#3275—791no—
1054#3275—791no—
1055#3275—791no—
1056#3275—791no—
1057#3275—791no—
1058#3275—791no—
1059#3275—791no—
1060#3275—791no—
1061#3275—791no—
1062#3275—791no—
1063#3275—791no—
1064#3275—791no—
1065#3275—791no—
1066#3275D7911yescharacteristic, direct product factor
1067C2×#495—791no—
1068C2×#470—791no—
1069C2×#469—791no—
1070C2×#464—791no—
1071C2×#463—791no—
1072C2×#452—791no—
1073C2×#449—791no—
1074C2×#448—791no—
1075C2×#450—791no—
1076C2×C4×SD16—791no—
1077C2×#436—791no—
1078C79C2×#327511yescharacteristic, complemented, Sylow
1079C22×#41—791no—
1080C22×#41—791no—
1081C23×Q8—791no—
1082C23×D4—791no—
1083C2×#137—791no—
1084C2×#137—791no—
1085C2×#137—791no—
1086C2×#137—791no—
1087C2×#137—791no—
1088C2×#137—791no—
1089C2×#137—791no—
1090C2×#137—1588no—
1091C2×#137C2×D7911yescharacteristic, complemented
1092C2×AGL(1,ℤ/8)—791no—
1093C2×AGL(1,ℤ/8)—791no—
1094C2×AGL(1,ℤ/8)—791no—
1095C2×AGL(1,ℤ/8)—791no—
1096C2×AGL(1,ℤ/8)—791no—
1097C2×AGL(1,ℤ/8)—791no—
1098C2×AGL(1,ℤ/8)—791no—
1099C2×AGL(1,ℤ/8)—1588no—
1100C2×AGL(1,ℤ/8)C2×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—
1111C22×M16—791no—
1112#548—791no—
1113#548—791no—
1114#548—791no—
1115#548—791no—
1116#548—791no—
1117#548—791no—
1118#548—791no—
1119#548—1581no—
1120#548—1581no—
1121#548—1581no—
1122#548—1581no—
1123#548C2×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×#124—791no—
1137C2×#124—791no—
1138C2×#124—1581no—
1139C2×#123—1581no—
1140C2×C22⋊Q8—791no—
1141C2×C22⋊Q8—791no—
1142C2×C22⋊Q8—1581no—
1143C2×#121—791no—
1144C2×#121—791no—
1145C2×#121—1581no—
1146C2×#121—1581no—
1147C2×#120—1581no—
1148C2×C4×Q8—791no—
1149C2×C4×D4—791no—
1150C2×C4×D4—791no—
1151C2×C4×D4—1581no—
1152C22×C22⋊C4—1581no—
1153#495—791no—
1154#495—791no—
1155#495—791no—
1156#495—791no—
1157#495—791no—
1158#495—791no—
1159#495—791no—
1160#495C2×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#469—791no—
1170#469—791no—
1171#469—791no—
1172#469—791no—
1173#469—791no—
1174#469—791no—
1175#469—791no—
1176#469C2×D7911yescharacteristic, complemented
1177#464—791no—
1178#464—791no—
1179#464—791no—
1180#464—791no—
1181#464—791no—
1182#464—791no—
1183#464—791no—
1184#464C2×D7911yescharacteristic, complemented
1185#463—791no—
1186#463—791no—
1187#463—791no—
1188#463—791no—
1189#463—791no—
1190#463—791no—
1191#463—791no—
1192#463C2×D7911yescharacteristic, complemented
1193#452—791no—
1194#452—791no—
1195#452—791no—
1196#452—791no—
1197#452—791no—
1198#452—791no—
1199#452—791no—
1200#452C2×D7911yescharacteristic, complemented
1201#450—791no—
1202#450—791no—
1203#450—791no—
1204#450—791no—
1205#450—791no—
1206#450—791no—
1207#450—791no—
1208#450C2×D7911yescharacteristic, complemented
1209#449—791no—
1210#449—791no—
1211#449—791no—
1212#449—791no—
1213#449—791no—
1214#449—791no—
1215#449—791no—
1216#449C2×D7911yescharacteristic, complemented
1217#448—791no—
1218#448—791no—
1219#448—791no—
1220#448—791no—
1221#448—791no—
1222#448—791no—
1223#448—791no—
1224#448C2×D7911yescharacteristic, complemented
1225C4×SD16—791no—
1226C4×SD16—791no—
1227C4×SD16—791no—
1228C4×SD16—791no—
1229C4×SD16—791no—
1230C4×SD16—791no—
1231C4×SD16—791no—
1232C4×SD16C2×D7911yescharacteristic, complemented
1233#436—791no—
1234#436—791no—
1235#436—791no—
1236#436—791no—
1237#436—791no—
1238#436—791no—
1239#436—791no—
1240#436C2×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×C4×C8—791no—
1252C25—1581no—
1253C2×#41—3162no—
1254C2×#41—3162no—
1255C2×#41—791no—
1256C2×#41—791no—
1257C2×#41—791no—
1258C2×#41—791no—
1259C2×#41—791no—
1260C2×#41—791no—
1261C2×#41—1581no—
1262C2×#41—1581no—
1263C2×#41—1584no—
1264C2×#41—1584no—
1265C2×#41—1581no—
1266C2×#41—1581no—
1267C2×#41C22×D7911yescharacteristic
1268C2×#41C22×D7911yescharacteristic
1269C22×Q8—3162no—
1270C22×Q8—791no—
1271C22×Q8—791no—
1272C22×Q8—791no—
1273C22×Q8—791no—
1274C22×Q8—791no—
1275C22×Q8—791no—
1276C22×Q8—1581no—
1277C22×Q8—1584no—
1278C22×Q8—1581no—
1279C22×Q8—1581no—
1280C22×Q8C22×D7911yescharacteristic, complemented
1281C22×D4—3162no—
1282C22×D4—791no—
1283C22×D4—791no—
1284C22×D4—791no—
1285C22×D4—791no—
1286C22×D4—791no—
1287C22×D4—791no—
1288C22×D4—791no—
1289C22×D4—1581no—
1290C22×D4—1581no—
1291C22×D4—1581no—
1292C22×D4—1581no—
1293C22×D4—1581no—
1294C22×D4—1581no—
1295C22×D4—1584no—
1296C22×D4—1581no—
1297C22×D4C22×D7911yescharacteristic
1298C23×C4—791no—
1299C23×C4—791no—
1300C23×C4—1581no—
1301C23×C4—1581no—
1302C23×C4—1581no—
1303C23×C4—1581no—
1304#137—24no—
1305#137—1584no—
1306#137—1584no—
1307#137—1584no—
1308#137—1584no—
1309#137—1584no—
1310#137—1584no—
1311#137—1584no—
1312AGL(1,ℤ/8)—24no—
1313AGL(1,ℤ/8)—1584no—
1314AGL(1,ℤ/8)—1584no—
1315AGL(1,ℤ/8)—1584no—
1316AGL(1,ℤ/8)—1584no—
1317AGL(1,ℤ/8)—1584no—
1318AGL(1,ℤ/8)—1584no—
1319AGL(1,ℤ/8)—1584no—
1320C2×Q16—791no—
1321C2×Q16—791no—
1322C2×Q16—791no—
1323C2×Q16—791no—
1324C2×Q16—791no—
1325C2×Q16—791no—
1326C2×Q16—1584no—
1327C2×Q16—1584no—
1328C2×Q16C22×D7911yescharacteristic, complemented
1329C2×Q16C22×D7911yescharacteristic, complemented
1330C2×SD16—3162no—
1331C2×SD16—3162no—
1332C2×SD16—791no—
1333C2×SD16—791no—
1334C2×SD16—791no—
1335C2×SD16—791no—
1336C2×SD16—791no—
1337C2×SD16—791no—
1338C2×SD16—798no—
1339C2×SD16—791no—
1340C2×SD16—791no—
1341C2×SD16—791no—
1342C2×SD16—791no—
1343C2×SD16—791no—
1344C2×SD16—791no—
1345C2×SD16—791no—
1346C2×SD16—791no—
1347C2×SD16—791no—
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—791no—
1358C2×D8—791no—
1359C2×D8—791no—
1360C2×D8—791no—
1361C2×D8—1584no—
1362C2×D8—1584no—
1363C2×D8C22×D7911yescharacteristic
1364C2×D8C22×D7911yescharacteristic
1365C2×M16—791no—
1366C2×M16—791no—
1367C2×M16—791no—
1368C2×M16—791no—
1369C2×M16—791no—
1370C2×M16—791no—
1371C2×M16—1584no—
1372C2×M16—1584no—
1373C2×M16C22×D7911yescharacteristic
1374C2×M16C22×D7911yescharacteristic, complemented
1375C22×C8—791no—
1376C22×C8—791no—
1377C22×C8—791no—
1378C22×C8—791no—
1379#124—21no—
1380#124—791no—
1381#124—791no—
1382#124—791no—
1383#124—791no—
1384#124—791no—
1385#124—791no—
1386#124—1581no—
1387#124—1581no—
1388#124—1581no—
1389#124—1581no—
1390#124—1581no—
1391#124—1581no—
1392#124—1581no—
1393#124—1581no—
1394#124—1581no—
1395#124—1581no—
1396#124—1581no—
1397#124C22×D7911yescharacteristic
1398#124C22×D7911yescharacteristic, complemented
1399#123—21no—
1400#123—1581no—
1401#123—1581no—
1402#123—1581no—
1403#123—1581no—
1404#123—1581no—
1405#123—1581no—
1406#123—1581no—
1407C22⋊Q8—21no—
1408C22⋊Q8—791no—
1409C22⋊Q8—791no—
1410C22⋊Q8—791no—
1411C22⋊Q8—791no—
1412C22⋊Q8—791no—
1413C22⋊Q8—791no—
1414C22⋊Q8—1581no—
1415C22⋊Q8—1581no—
1416C22⋊Q8—1581no—
1417C22⋊Q8—1581no—
1418C22⋊Q8—1581no—
1419C22⋊Q8—1581no—
1420C22⋊Q8—1581no—
1421C22⋊Q8—1581no—
1422C22⋊Q8—1581no—
1423C22⋊Q8—1581no—
1424C22⋊Q8—1581no—
1425C22⋊Q8C22×D7911yescharacteristic
1426C22⋊Q8C22×D7911yescharacteristic
1427#121—21no—
1428#121—21no—
1429#121—791no—
1430#121—791no—
1431#121—791no—
1432#121—791no—
1433#121—791no—
1434#121—791no—
1435#121—1581no—
1436#121—1581no—
1437#121—1581no—
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#121C22×D7911yescharacteristic
1454#121C22×D7911yescharacteristic, complemented
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×Q8—791no—
1464C4×Q8—791no—
1465C4×Q8—791no—
1466C4×Q8—1581no—
1467C4×Q8—1581no—
1468C4×Q8C22×D7911yescharacteristic, complemented
1469C4×D4—21no—
1470C4×D4—791no—
1471C4×D4—791no—
1472C4×D4—791no—
1473C4×D4—791no—
1474C4×D4—791no—
1475C4×D4—791no—
1476C4×D4—791no—
1477C4×D4—791no—
1478C4×D4—791no—
1479C4×D4—791no—
1480C4×D4—1581no—
1481C4×D4—1581no—
1482C4×D4—1581no—
1483C4×D4—1581no—
1484C4×D4—1581no—
1485C4×D4—1581no—
1486C4×D4—1581no—
1487C4×D4—1581no—
1488C4×D4—1581no—
1489C4×D4C22×D7911yescharacteristic
1490C4×D4C22×D7911yescharacteristic
1491C2×C4⋊C4—791no—
1492C2×C4⋊C4—791no—
1493C2×C4⋊C4—791no—
1494C2×C4⋊C4—1581no—
1495C2×C4⋊C4—1581no—
1496C2×C4⋊C4—1581no—
1497C2×C22⋊C4—21no—
1498C2×C22⋊C4—791no—
1499C2×C22⋊C4—791no—
1500C2×C22⋊C4—1581no—
1501C2×C22⋊C4—1581no—
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×C42—791no—
1517C2×C42—1581no—
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
1558C4×C8—791no—
1559C4×C8—791no—
1560C4×C8—791no—
1561C4×C8C22×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—41no—
1577#41—41no—
1578#41—3161no—
1579#41—3161no—
1580#41—3164no—
1581#41—3164no—
1582#41—3161no—
1583#41—3161no—
1584#41—3164no—
1585#41—3164no—
1586#41—3161no—
1587#41—3161no—
1588#41—1582no—
1589#41—1582no—
1590#41—1582no—
1591#41—1582no—
1592#41—1582no—
1593#41—1582no—
1594C2×Q8—21no—
1595C2×Q8—22no—
1596C2×Q8—41no—
1597C2×Q8—3161no—
1598C2×Q8—3164no—
1599C2×Q8—3161no—
1600C2×Q8—3161no—
1601C2×Q8—3164no—
1602C2×Q8—3164no—
1603C2×Q8—794no—
1604C2×Q8—791no—
1605C2×Q8—791no—
1606C2×Q8—791no—
1607C2×Q8—1582no—
1608C2×Q8—1581no—
1609C2×Q8—1581no—
1610C2×Q8—1581no—
1611C2×Q8—1581no—
1612C2×Q8—1581no—
1613C2×Q8—1582no—
1614C2×Q8—1582no—
1615C2×Q8—1582no—
1616C2×Q8—1582no—
1617C2×Q8—1582no—
1618C2×Q8—1582no—
1619C2×Q8—1582no—
1620C2×Q8—1581no—
1621C2×Q8C23×D7911yescharacteristic
1622C2×Q8C23×D7911yescharacteristic
1623C2×Q8C23×D7911yescharacteristic
1624C2×D4—22no—
1625C2×D4—21no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—21no—
1629C2×D4—21no—
1630C2×D4—41no—
1631C2×D4—3161no—
1632C2×D4—3164no—
1633C2×D4—3164no—
1634C2×D4—3161no—
1635C2×D4—3161no—
1636C2×D4—3164no—
1637C2×D4—3164no—
1638C2×D4—3162no—
1639C2×D4—3164no—
1640C2×D4—3164no—
1641C2×D4—791no—
1642C2×D4—791no—
1643C2×D4—794no—
1644C2×D4—791no—
1645C2×D4—791no—
1646C2×D4—791no—
1647C2×D4—791no—
1648C2×D4—6322no—
1649C2×D4—1581no—
1650C2×D4—1581no—
1651C2×D4—1581no—
1652C2×D4—1582no—
1653C2×D4—1581no—
1654C2×D4—1582no—
1655C2×D4—1582no—
1656C2×D4—1582no—
1657C2×D4—1582no—
1658C2×D4—1582no—
1659C2×D4—1581no—
1660C2×D4—1581no—
1661C2×D4—1581no—
1662C2×D4—1581no—
1663C2×D4—1581no—
1664C2×D4—1582no—
1665C2×D4—1581no—
1666C2×D4—1581no—
1667C2×D4—1581no—
1668C2×D4—1581no—
1669C2×D4—1581no—
1670C2×D4—1581no—
1671C2×D4—1582no—
1672C2×D4—1581no—
1673C2×D4—1581no—
1674C2×D4—1581no—
1675C2×D4D4×D7911yescharacteristic
1676C2×D4C23×D7911yescharacteristic
1677C2×D4C23×D7911yescharacteristic
1678C2×D4C23×D7911yescharacteristic
1679C22×C4—21no—
1680C22×C4—21no—
1681C22×C4—21no—
1682C22×C4—21no—
1683C22×C4—3164no—
1684C22×C4—3164no—
1685C22×C4—3164no—
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—791no—
1695C22×C4—791no—
1696C22×C4—791no—
1697C22×C4—6322no—
1698C22×C4—1581no—
1699C22×C4—1581no—
1700C22×C4—1581no—
1701C22×C4—1581no—
1702C22×C4—1581no—
1703C22×C4—1581no—
1704C22×C4—1581no—
1705C22×C4—1581no—
1706C22×C4—1581no—
1707C22×C4—1582no—
1708C22×C4—1582no—
1709C22×C4—1582no—
1710C22×C4—1582no—
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—22no—
1723Q16—1582no—
1724Q16—1582no—
1725Q16—1582no—
1726Q16—1582no—
1727Q16—1582no—
1728Q16—1582no—
1729SD16—22no—
1730SD16—22no—
1731SD16—41no—
1732SD16—41no—
1733SD16—3161no—
1734SD16—3161no—
1735SD16—3161no—
1736SD16—3161no—
1737SD16—3161no—
1738SD16—3161no—
1739SD16—794no—
1740SD16—794no—
1741SD16—794no—
1742SD16—1582no—
1743SD16—1582no—
1744SD16—1582no—
1745SD16—1582no—
1746SD16—1582no—
1747SD16—1582no—
1748SD16D4×D7914yescomplemented
1749D8—22no—
1750D8—22no—
1751D8—1582no—
1752D8—1582no—
1753D8—1582no—
1754D8—1582no—
1755D8—1582no—
1756D8—1582no—
1757M16—22no—
1758M16—22no—
1759M16—1582no—
1760M16—1582no—
1761M16—1582no—
1762M16—1582no—
1763M16—1582no—
1764M16—1582no—
1765C2×C8—791no—
1766C2×C8—794no—
1767C2×C8—791no—
1768C2×C8—791no—
1769C2×C8—791no—
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—791no—
1781C4⋊C4—791no—
1782C4⋊C4—791no—
1783C4⋊C4—791no—
1784C4⋊C4—791no—
1785C4⋊C4—1581no—
1786C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1797C4⋊C4C23×D7911yescharacteristic
1798C4⋊C4C23×D7911yescharacteristic
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—21no—
1802C22⋊C4—21no—
1803C22⋊C4—21no—
1804C22⋊C4—21no—
1805C22⋊C4—21no—
1806C22⋊C4—21no—
1807C22⋊C4—21no—
1808C22⋊C4—791no—
1809C22⋊C4—791no—
1810C22⋊C4—791no—
1811C22⋊C4—791no—
1812C22⋊C4—791no—
1813C22⋊C4—791no—
1814C22⋊C4—1581no—
1815C22⋊C4—1581no—
1816C22⋊C4—1581no—
1817C22⋊C4—1581no—
1818C22⋊C4—1581no—
1819C22⋊C4—1581no—
1820C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1842C22⋊C4D4×D7911yescharacteristic
1843C42—21no—
1844C42—791no—
1845C42—791no—
1846C42—791no—
1847C42—1581no—
1848C42—1581no—
1849C42—1581no—
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—3162no—
1871C23—791no—
1872C23—791no—
1873C23—791no—
1874C23—6321no—
1875C23—6321no—
1876C23—6321no—
1877C23—63216no—
1878C23—1582no—
1879C23—1584no—
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—42no—
1896Q8—3162no—
1897Q8—3162no—
1898Q8—3162no—
1899Q8—3162no—
1900Q8—3162no—
1901Q8—792no—
1902Q8—1584no—
1903Q8—1581no—
1904Q8—1581no—
1905Q8—1581no—
1906Q8—1581no—
1907Q8—1581no—
1908Q8C2×D4×D7912yes—
1909D4—21no—
1910D4—21no—
1911D4—21no—
1912D4—21no—
1913D4—21no—
1914D4—41no—
1915D4—42no—
1916D4—42no—
1917D4—42no—
1918D4—42no—
1919D4—81no—
1920D4—3162no—
1921D4—3162no—
1922D4—3161no—
1923D4—3162no—
1924D4—3162no—
1925D4—3162no—
1926D4—3162no—
1927D4—3162no—
1928D4—3162no—
1929D4—3162no—
1930D4—3162no—
1931D4—3162no—
1932D4—3162no—
1933D4—3161no—
1934D4—3161no—
1935D4—3162no—
1936D4—3162no—
1937D4—792no—
1938D4—6321no—
1939D4—6321no—
1940D4—6321no—
1941D4—1584no—
1942D4—1581no—
1943D4—1581no—
1944D4—1581no—
1945D4—1581no—
1946D4—1581no—
1947D4C2×D4×D7912yes—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—42no—
1958C2×C4—42no—
1959C2×C4—42no—
1960C2×C4—81no—
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—791no—
1975C2×C4—792no—
1976C2×C4—792no—
1977C2×C4—791no—
1978C2×C4—791no—
1979C2×C4—791no—
1980C2×C4—791no—
1981C2×C4—6321no—
1982C2×C4—6321no—
1983C2×C4—6321no—
1984C2×C4—1582no—
1985C2×C4—1582no—
1986C2×C4—1582no—
1987C2×C4—1582no—
1988C2×C4—1584no—
1989C2×C4—1582no—
1990C2×C4—1582no—
1991C2×C4—1581no—
1992C2×C4—1581no—
1993C2×C4—1581no—
1994C2×C4—1581no—
1995C2×C4—1582no—
1996C2×C4—1582no—
1997C2×C4—1581no—
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—21no—
2019C22—21no—
2020C22—21no—
2021C22—21no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—84no—
2031C22—3168no—
2032C22—3164no—
2033C22—3164no—
2034C22—3161no—
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—6324no—
2050C22—1581no—
2051C22—1582no—
2052C22—1581no—
2053C22—1581no—
2054C22—1581no—
2055C22—1581no—
2056C22—1581no—
2057C22C22×D4×D7911yescharacteristic
2058C4—21no—
2059C4—21no—
2060C4—22no—
2061C4—21no—
2062C4—21no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—41no—
2067C4—3161no—
2068C4—3161no—
2069C4—3161no—
2070C4—3161no—
2071C4—792no—
2072C4—1581no—
2073C4—1581no—
2074C4—1582no—
2075C4—1581no—
2076C4—1581no—
2077C4C22×D4×D7911yescharacteristic
2078C4H(5,𝔽2)×D7911yescharacteristic
2079C2—41no—
2080C2—41no—
2081C2—42no—
2082C2—81no—
2083C2—81no—
2084C2—3162no—
2085C2—3161no—
2086C2—3161no—
2087C2—794no—
2088C2—6321no—
2089C2—6321no—
2090C2D42×D7911yescharacteristic
2091C2#575×D7911yescharacteristic
2092C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3275C2
socleC22×C79C23×D4
hypercenter#3275D79
hypocenterC79C2×#3275
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. C2×#137×D79C2semidirect
2. C2×AGL(1,ℤ/8)×D79C2semidirect
3. #548×D79C2semidirect
4. #546×D79C2semidirect
5. #23775038C2semidirect
6. #23775037C2semidirect
7. #23775036C2semidirect
8. #23775035C2semidirect
9. #23775034C2semidirect
10. #23775033C2semidirect
11. #23775032C2semidirect
12. #23775031C2semidirect
13. #23775030C2semidirect
14. #23775029C2semidirect
15. #23775028C2semidirect
16. #23775027C2semidirect
17. #23775026C2semidirect
18. #23775025C2semidirect
19. #23775024C2semidirect
20. #495×D79C2semidirect
21. #470×D79C2semidirect
22. #469×D79C2semidirect
23. #464×D79C2semidirect
24. #463×D79C2semidirect
25. #452×D79C2semidirect
26. #449×D79C2semidirect
27. #448×D79C2semidirect
28. #450×D79C2semidirect
29. C4×SD16×D79C2semidirect
30. #436×D79C2semidirect
31. C79×#3275C2semidirect
34. C22×Q8×D79C22semidirect
36. C2×#14579194C22semidirect
37. C2×#14579193C22semidirect
38. C2×#14579193C22semidirect
39. C2×#14579192C22semidirect
40. C2×#14579191C22semidirect
41. C2×#14579190C22semidirect
42. C2×#14579190C22semidirect
44. C2×#14579189C22semidirect
45. C2×#14579188C22semidirect
46. C2×#14579188C22semidirect
47. C2×#14579187C22semidirect
48. C2×#14579186C22semidirect
49. C2×#14579185C22semidirect
50. C2×#14579185C22semidirect
52. C2×Q16×D79C22semidirect
53. C2×Q16×D79C22semidirect
58. C2×SD16×D79C22semidirect
62. C2×M16×D79C22semidirect
63. #19099225C22semidirect
64. #19099224C22semidirect
66. #19099223C22semidirect
68. #19099222C22semidirect
70. #19099221C22semidirect
71. #19099220C22semidirect
73. #19099219C22semidirect
74. #19099210C22semidirect
75. #19099209C22semidirect
76. #19099208C22semidirect
77. #19099207C22semidirect
78. #19099206C22semidirect
80. #19099204C22semidirect
83. #19099201C22semidirect
87. #124×D79C22semidirect
95. #121×D79C22semidirect
97. C4×Q8×D79C22semidirect
102. #19098948C22semidirect
103. #19098947C22semidirect
104. #19098946C22semidirect
105. #19098945C22semidirect
106. #19098945C22semidirect
107. #19098944C22semidirect
108. #19098944C22semidirect
109. #19098822C22semidirect
110. #19098821C22semidirect
111. #19098820C22semidirect
112. #19098820C22semidirect
113. #19098819C22semidirect
114. #19098819C22semidirect
115. #19098818C22semidirect
116. #19098817C22semidirect
117. #19098816C22semidirect
118. #19098815C22semidirect
119. #19098815C22semidirect
120. #19098814C22semidirect
121. #19098814C22semidirect
122. #19098813C22semidirect
123. #19098788C22semidirect
124. #19098787C22semidirect
125. #19098786C22semidirect
126. #19098785C22semidirect
127. #19098784C22semidirect
128. #19098783C22semidirect
129. #19098782C22semidirect
130. #19098781C22semidirect
131. #19098780C22semidirect
132. #19098779C22semidirect
133. #19098778C22semidirect
134. #19098777C22semidirect
135. #19098776C22semidirect
136. #19098775C22semidirect
137. #19098728C22semidirect
138. #19098727C22semidirect
139. #19098726C22semidirect
140. #19098725C22semidirect
141. #19098724C22semidirect
142. #19098723C22semidirect
143. #19098722C22semidirect
144. #19098716C22semidirect
145. #19098715C22semidirect
146. #19098715C22semidirect
147. #19098714C22semidirect
148. #19098713C22semidirect
149. #19098712C22semidirect
150. #19098712C22semidirect
151. #19098711C22semidirect
152. #19098710C22semidirect
153. #19098709C22semidirect
154. #19098708C22semidirect
155. #19098707C22semidirect
156. #19098706C22semidirect
157. #19098705C22semidirect
158. #19098704C22semidirect
159. #19098703C22semidirect
160. #19098703C22semidirect
161. #19098702C22semidirect
162. #19098701C22semidirect
163. #19098700C22semidirect
164. #19098700C22semidirect
165. #19098654C22semidirect
166. C4×#11929613C22semidirect
167. SD16×Dic79C22semidirect
168. C4×#11929611C22semidirect
169. #19098650C22semidirect
170. C4×#11929612C22semidirect
171. #19098648C22semidirect
172. #19098642C22semidirect
173. #19098641C22semidirect
174. #19098640C22semidirect
175. #19098639C22semidirect
176. #19098639C22semidirect
177. #19098638C22semidirect
178. #19098638C22semidirect
179. #106×D79C22semidirect
180. C4⋊C8×D79C22semidirect
181. #103×D79C22semidirect
182. #103×D79C22semidirect
183. #103×D79C22semidirect
186. #102×D79C22semidirect
188. C22⋊C8×D79C22semidirect
189. C4×C8×D79C22semidirect
190. C2×#137×C79C22semidirect
191. C2×AGL(1,ℤ/8)×C79C22semidirect
192. #548×C79C22semidirect
193. #546×C79C22semidirect
194. #495×C79C22semidirect
195. #470×C79C22semidirect
196. #469×C79C22semidirect
197. #464×C79C22semidirect
198. #463×C79C22semidirect
199. #452×C79C22semidirect
200. #450×C79C22semidirect
201. #449×C79C22semidirect
202. #448×C79C22semidirect
203. C4×SD16×C79C22semidirect
204. #436×C79C22semidirect
221. C22×Dic158C23semidirect
229. C2×Q8×D79C23semidirect
230. C2×Q8×D79C23semidirect
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
294. SD16×D79D4semidirect
304. C2×#11929608C23semidirect
307. C2×#11929607C23semidirect
308. C2×#11929607C23semidirect
317. #14579150C23semidirect
320. #14579149C23semidirect
323. #14579148C23semidirect
359. #14579136C23semidirect
363. #14579135C23semidirect
379. #14579132C23semidirect
387. Q8×Dic79C23semidirect
389. C4×Dic158C23semidirect
391. #14579126C23semidirect
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. C4×C79⋊C8C23semidirect
468. C8×Dic79C23semidirect
469. C8×Dic79C23semidirect
472. C22×Q8×C79C23semidirect
476. C2×Q16×C79C23semidirect
477. C2×Q16×C79C23semidirect
482. C2×SD16×C79C23semidirect
486. C2×M16×C79C23semidirect
489. #124×C79C23semidirect
497. #121×C79C23semidirect
499. C4×Q8×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. C4×C8×C79C23semidirect
656. #11929613C2×D4semidirect
661. #11929612C2×D4semidirect
666. #11929611C2×D4semidirect
776. SD16×C79C2×D4semidirect
1046. D79#3275direct (N × H)
1066. #3275D79direct (N × H)
1078. C79C2×#3275semidirect
1091. C2×#137C2×D79semidirect
1100. C2×AGL(1,ℤ/8)C2×D79semidirect
1123. #548C2×D79semidirect
1135. #546C2×D79semidirect
1160. #495C2×D79semidirect
1168. #470C2×D79semidirect
1176. #469C2×D79semidirect
1184. #464C2×D79semidirect
1192. #463C2×D79semidirect
1200. #452C2×D79semidirect
1208. #450C2×D79semidirect
1216. #449C2×D79semidirect
1224. #448C2×D79semidirect
1232. C4×SD16C2×D79semidirect
1240. #436C2×D79semidirect
1280. C22×Q8C22×D79semidirect
1328. C2×Q16C22×D79semidirect
1329. C2×Q16C22×D79semidirect
1354. C2×SD16C22×D79semidirect
1374. C2×M16C22×D79semidirect
1398. #124C22×D79semidirect
1454. #121C22×D79semidirect
1468. C4×Q8C22×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. C4×C8C22×D79semidirect
1748. SD16D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#137×D792
C2×AGL(1,ℤ/8)×D792
#548×D792
#546×D792
#237750382
#237750372
#237750362
#237750352
#237750342
#237750332
#237750322
#237750312
#237750302
#237750292
#237750282
#237750272
#237750262
#237750252
#237750242
#495×D792
#470×D792
#469×D792
#464×D792
#463×D792
#452×D792
#449×D792
#448×D792
#450×D792
C4×SD16×D792
#436×D792
C79×#32752
C2×#327579