Finite Group Databasebeta

← #35163736

Subgroups — #35163736

Order 20224.

2890 conjugacy classes of subgroups.

The subgroup lattice has 2132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099365C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D79C211yesmaximal, characteristic, complemented
3#23777039C211yesmaximal, characteristic, complemented
4#23777030C211yesmaximal, characteristic, complemented
5#23775007C211yesmaximal, characteristic, complemented
6#23775006C211yesmaximal, characteristic, complemented
7#23775004C211yesmaximal, characteristic, complemented
8#23775004C211yesmaximal, characteristic, complemented
9#23775003C211yesmaximal, characteristic, complemented
10#23775000C211yesmaximal, characteristic, complemented
11#23774998C211yesmaximal, characteristic, complemented
12#23774993C211yesmaximal, characteristic, complemented
13#23774932C211yesmaximal, characteristic, complemented
14#23774925C211yesmaximal, characteristic, complemented
15#23774924C211yesmaximal, characteristic, complemented
16#23774885C211yesmaximal, characteristic, complemented
17#23774882C211yesmaximal, characteristic, complemented
18#23774877C211yesmaximal, characteristic, complemented
19#23774874C211yesmaximal, characteristic, complemented
20#23773875C211yesmaximal, characteristic, complemented
21#23773034C211yesmaximal, characteristic, complemented
22#23773011C211yesmaximal, characteristic, complemented
23#23772907C211yesmaximal, characteristic, complemented
24#23772901C211yesmaximal, characteristic, complemented
25#23772674C211yesmaximal, characteristic, complemented
26#23772665C211yesmaximal, characteristic, complemented
27#23772643C211yesmaximal, characteristic, complemented
28#23772628C211yesmaximal, characteristic, complemented
29#23772249C211yesmaximal, characteristic, complemented
30#23772098C211yesmaximal, characteristic, complemented
31C79×#3267C211yesmaximal, characteristic, complemented
32C2×#14579207C2211yescharacteristic
33C2×#14579207C2211yescharacteristic, complemented
34C2×#41×D79C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic, complemented
36#19099365—28no—
37C2×#14579193C2211yescharacteristic, complemented
38C2×#14579189C2211yescharacteristic, complemented
39C2×#14579188C2211yescharacteristic
40C2×#14579188C2211yescharacteristic, complemented
41C2×#14579188C2211yescharacteristic, complemented
42C2×#14579188C2211yescharacteristic, complemented
43C2×#14579188C2211yescharacteristic, complemented
44C2×#14579188C2211yescharacteristic, complemented
45C2×#14579188C2211yescharacteristic, complemented
46C2×#14579187C2211yescharacteristic, complemented
47C2×#14579186C2211yescharacteristic, complemented
48C2×#14579186C2211yescharacteristic, complemented
49C2×#14579186C2211yescharacteristic, complemented
50C2×#14579185C2211yescharacteristic, complemented
51C2×#14579185C2211yescharacteristic, complemented
52AGL(1,ℤ/8)×D79—28no—
53C2×#14579184C2211yescharacteristic, complemented
54C2×#14579184C2211yescharacteristic, complemented
55C2×SD16×D79C2211yescharacteristic, complemented
56C2×SD16×D79C2211yescharacteristic, complemented
57C22×D632C2211yescharacteristic, complemented
58C2×D8×D79C2211yescharacteristic
59C2×D8×D79C2211yescharacteristic, complemented
60C2×D8×D79C2211yescharacteristic, complemented
61C2×#14579167C2211yescharacteristic, complemented
62C2×M16×D79C2211yescharacteristic, complemented
63#19099216C2211yescharacteristic, complemented
64#19099215C2211yescharacteristic, complemented
65#19099214—21no—
66#19099212C2211yescharacteristic, complemented
67#19099211—21no—
68#19099209C2211yescharacteristic, complemented
69#19099208C2211yescharacteristic, complemented
70#19099206C2211yescharacteristic, complemented
71#19099205—21no—
72#19099205—21no—
73#19099204C2211yescharacteristic, complemented
74#19099204C2211yescharacteristic, complemented
75#19099203—21no—
76#19099202—21no—
77#19099201C2211yescharacteristic, complemented
78#19099201C2211yescharacteristic, complemented
79D4×D316C2211yescharacteristic, complemented
80D4×D316C2211yescharacteristic, complemented
81#19099197—21no—
82#19099197C2211yescharacteristic, complemented
83D4×C22⋊D79C2211yescharacteristic, complemented
84#19099195—21no—
85#19099138C2211yescharacteristic, complemented
86#19099136C2211yescharacteristic, complemented
87#19099131C2211yescharacteristic, complemented
88#19099129C2211yescharacteristic
89#19099124—21no—
90#19099124—21no—
91#19099121—21no—
92#19099121—21no—
93#19099076C2211yescharacteristic, complemented
94#19099076C2211yescharacteristic, complemented
95#19099072C2211yescharacteristic
96C2×#14579146—21no—
97#123×D79—21no—
98C2×#14579131—21no—
99#120×D79—21no—
100#19099035C2211yescharacteristic, complemented
101#19099035C2211yescharacteristic, complemented
102#19098956C2211yescharacteristic, complemented
103#19098952C2211yescharacteristic, complemented
104#19098949C2211yescharacteristic, complemented
105#19098948C2211yescharacteristic, complemented
106#19098945C2211yescharacteristic, complemented
107#19098937C2211yescharacteristic, complemented
108#19098934C2211yescharacteristic, complemented
109#19098818C2211yescharacteristic, complemented
110#19098817C2211yescharacteristic, complemented
111#19098816C2211yescharacteristic, complemented
112#19098812C2211yescharacteristic, complemented
113#19098812C2211yescharacteristic, complemented
114#19098812C2211yescharacteristic, complemented
115#19098811C2211yescharacteristic, complemented
116#19098811C2211yescharacteristic, complemented
117#19098811C2211yescharacteristic, complemented
118#19098808C2211yescharacteristic, complemented
119#19098807C2211yescharacteristic, complemented
120#19098793C2211yescharacteristic, complemented
121#19098792C2211yescharacteristic, complemented
122#19098789C2211yescharacteristic, complemented
123#19098781C2211yescharacteristic, complemented
124#19098781C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098779C2211yescharacteristic, complemented
128#19098778C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098767C2211yescharacteristic, complemented
131#19098766C2211yescharacteristic, complemented
132#19098765C2211yescharacteristic, complemented
133#19098759C2211yescharacteristic, complemented
134#19098758C2211yescharacteristic, complemented
135#19098757C2211yescharacteristic, complemented
136#19098756C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098725C2211yescharacteristic, complemented
139#19098724C2211yescharacteristic, complemented
140#19098724C2211yescharacteristic, complemented
141#19098723C2211yescharacteristic, complemented
142#19098722C2211yescharacteristic, complemented
143#19098716C2211yescharacteristic, complemented
144#19098715C2211yescharacteristic, complemented
145#19098713C2211yescharacteristic, complemented
146#19098713C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098712C2211yescharacteristic, complemented
150#19098711C2211yescharacteristic, complemented
151#19098711C2211yescharacteristic, complemented
152#19098710C2211yescharacteristic, complemented
153#19098709C2211yescharacteristic, complemented
154#19098708C2211yescharacteristic, complemented
155#19098708C2211yescharacteristic, complemented
156#19098707C2211yescharacteristic, complemented
157#19098699C2211yescharacteristic, complemented
158#19098699C2211yescharacteristic, complemented
159#19098698C2211yescharacteristic, complemented
160#19098698C2211yescharacteristic, complemented
161#19098698C2211yescharacteristic, complemented
162#19098697C2211yescharacteristic, complemented
163#19098696C2211yescharacteristic, complemented
164#19098695C2211yescharacteristic, complemented
165#19098676C2211yescharacteristic, complemented
166#19098675C2211yescharacteristic, complemented
167#19098674C2211yescharacteristic, complemented
168C4×#11929609C2211yescharacteristic, complemented
169C4×#11929609C2211yescharacteristic, complemented
170#19098643C2211yescharacteristic, complemented
171#19098643C2211yescharacteristic, complemented
172#19098641C2211yescharacteristic, complemented
173#19098640C2211yescharacteristic, complemented
174#19098638C2211yescharacteristic, complemented
175#19098638C2211yescharacteristic, complemented
176#19098636C2211yescharacteristic, complemented
177#19098634C2211yescharacteristic, complemented
178#19098632C2211yescharacteristic, complemented
179#19098598C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098570C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098558C2211yescharacteristic, complemented
186#19098558C2211yescharacteristic, complemented
187#19098528C2211yescharacteristic, complemented
188#19098525C2211yescharacteristic, complemented
189#19098520C2211yescharacteristic, 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—
206#14579207—24no—
207#14579207—24no—
208#14579207—42no—
209#14579207—42no—
210C2×#11929625C2311yescharacteristic
211C2×#11929625C2311yescharacteristic
212C2×#11929625C2311yescharacteristic
213C2×#11929625C2311yescharacteristic
214C2×#11929625C2311yescharacteristic, complemented
215C2×#11929624—21no—
216C2×#11929624—21no—
217C2×#11929624—21no—
218C2×#11929624C2311yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929623—21no—
221C2×#11929623C2311yescharacteristic
222#41×D79—24no—
223#41×D79—42no—
224C2×Q8×D79C2311yescharacteristic
225C22×D316—21no—
226C22×D316—21no—
227C22×D316—21no—
228C22×D316C2311yescharacteristic
229C22×D316C2311yescharacteristic
230C22×D316C2311yescharacteristic, complemented
231C22×C22⋊D79—21no—
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—21no—
241C2×D4×D79—21no—
242C2×D4×D79—21no—
243C2×D4×D79—42no—
244C2×D4×D79C2311yescharacteristic
245C2×D4×D79C2311yescharacteristic
246C2×D4×D79C2311yescharacteristic
247C2×D4×D79C2311yescharacteristic
248C2×D4×D79C2311yescharacteristic
249C2×D4×D79C2311yescharacteristic
250C2×D4×D79C2311yescharacteristic, complemented
251C22×C4×D79—21no—
252C22×C4×D79C2311yescharacteristic
253#14579193—42no—
254#14579189—24no—
255#14579188—24no—
256#14579188—24no—
257#14579188—24no—
258#14579188—24no—
259#14579188—24no—
260#14579188—24no—
261#14579188—42no—
262#14579187—24no—
263#14579186—24no—
264#14579186—24no—
265#14579186—24no—
266#14579185—24no—
267#14579185—24no—
268#14579184—24no—
269#14579184—24no—
270C2×#11929614C2311yescharacteristic, complemented
271C2×#11929613C2311yescharacteristic
272C2×#11929613C2311yescharacteristic
273C2×#11929613C2311yescharacteristic, complemented
274C2×#11929612C2311yescharacteristic
275C2×#11929612C2311yescharacteristic
276C2×#11929611C2311yescharacteristic
277C2×#11929611C2311yescharacteristic
278C2×#11929611C2311yescharacteristic
279C2×#11929611C2311yescharacteristic
280C2×#11929611C2311yescharacteristic, complemented
281C2×#11929611C2311yescharacteristic, complemented
282C2×#11929611C2311yescharacteristic, complemented
283C2×#11929611C2311yescharacteristic, complemented
284SD16×D79—24no—
285SD16×D79—24no—
286C2×D632—24no—
287C2×D632C2311yescharacteristic
288C2×D632C2311yescharacteristic
289C2×D632C2311yescharacteristic
290C2×D632C2311yescharacteristic
291C2×D632C2311yescharacteristic, complemented
292C2×D632C2311yescharacteristic, complemented
293C2×#11929609C2311yescharacteristic
294C2×#11929609C2311yescharacteristic
295C2×#11929609C2311yescharacteristic
296C2×#11929609C2311yescharacteristic
297C2×#11929609C2311yescharacteristic
298C2×#11929609C2311yescharacteristic
299C2×#11929609C2311yescharacteristic, complemented
300D8×D79—24no—
301D8×D79—24no—
302D8×D79D418yescomplemented
303#14579167—24no—
304C2×#11929608C2311yescharacteristic
305C2×#11929608C2311yescharacteristic, complemented
306C2×#11929607C2311yescharacteristic
307C2×#11929607C2311yescharacteristic
308C2×#11929607C2311yescharacteristic
309C2×#11929607C2311yescharacteristic
310C2×#11929607C2311yescharacteristic, complemented
311M16×D79—24no—
312C2×C8×D79C2311yescharacteristic
313C2×C8×D79C2311yescharacteristic
314C2×C8×D79C2311yescharacteristic, complemented
315#14579160—21no—
316#14579159C2311yescharacteristic, complemented
317#14579158C2311yescharacteristic
318#14579157—21no—
319#14579157C2311yescharacteristic
320#14579150C2311yescharacteristic
321#14579150C2311yescharacteristic, complemented
322#14579149C2311yescharacteristic, complemented
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#14579146—21no—
332#14579146—21no—
333#14579146—21no—
334#14579146—21no—
335#14579146—21no—
336#14579146D411yescharacteristic
337#14579145—21no—
338#14579144—21no—
339#14579144—21no—
340#14579144—21no—
341#14579143—21no—
342#14579143—21no—
343#14579143—21no—
344#14579143D411yescharacteristic
345#14579142—21no—
346#14579141C2311yescharacteristic, complemented
347#14579140C2311yescharacteristic, complemented
348#14579139—21no—
349#14579139—21no—
350#14579139D411yescharacteristic
351#14579138D411yescharacteristic
352#14579137C2311yescharacteristic
353#14579137C2311yescharacteristic
354#14579137C2311yescharacteristic, complemented
355#14579136—21no—
356#14579136—21no—
357#14579136—21no—
358#14579136—21no—
359#14579136C2311yescharacteristic
360#14579136C2311yescharacteristic
361#14579136C2311yescharacteristic
362#14579135—21no—
363#14579135—21no—
364#14579135C2311yescharacteristic
365#14579135C2311yescharacteristic
366#14579135C2311yescharacteristic
367#14579134—21no—
368#14579134—21no—
369#14579134—21no—
370#14579134—21no—
371#14579134—21no—
372#14579134—21no—
373#14579134D411yescharacteristic
374#14579133—21no—
375#14579133—21no—
376#14579133—21no—
377#14579133—21no—
378#14579133D411yescharacteristic
379#14579132C2311yescharacteristic
380#14579131—21no—
381#14579131—21no—
382#14579131—21no—
383#14579131—21no—
384#14579131—21no—
385#14579131—21no—
386#14579131—21no—
387#14579131—21no—
388#14579131—21no—
389#14579131—21no—
390#14579131—21no—
391#14579131—21no—
392#14579131—21no—
393#14579131—21no—
394#14579131D411yescharacteristic
395#14579130—21no—
396#14579129—21no—
397#14579129—21no—
398#14579129—21no—
399#14579129—21no—
400#14579129—21no—
401#14579129—21no—
402#14579129D411yescharacteristic
403C4×D316C2311yescharacteristic
404C4×D316C2311yescharacteristic
405C4×D316C2311yescharacteristic, complemented
406D4×Dic79C2311yescharacteristic
407D4×Dic79C2311yescharacteristic, complemented
408#14579123—21no—
409#14579123—21no—
410#14579123C2311yescharacteristic
411#14579123C2311yescharacteristic, complemented
412C4×C22⋊D79—21no—
413C4×C22⋊D79—21no—
414C4×C22⋊D79C2311yescharacteristic
415C4×C22⋊D79C2311yescharacteristic
416(C22⋊D79)⋊C4—21no—
417(C22⋊D79)⋊C4—21no—
418(C22⋊D79)⋊C4—21no—
419(C22⋊D79)⋊C4—21no—
420#14579119C2311yescharacteristic
421#14579119C2311yescharacteristic
422#14579118C2311yescharacteristic
423C2×Dic79⋊C4—21no—
424C4⋊C4×D79—21no—
425C4⋊C4×D79—21no—
426C2×(C2×D79)⋊C4—21no—
427C2×(C2×D79)⋊C4—21no—
428C2×(C2×D79)⋊C4—21no—
429C2×(C2×D79)⋊C4—21no—
430C2×(C2×D79)⋊C4—21no—
431C22⋊C4×D79—21no—
432C22⋊C4×D79—21no—
433C22⋊C4×D79—21no—
434C22⋊C4×D79—21no—
435C22⋊C4×D79—21no—
436C22⋊C4×D79—21no—
437#14579094C2311yescharacteristic, complemented
438#14579094C2311yescharacteristic, complemented
439#14579093C2311yescharacteristic, complemented
440C4⋊(C79⋊C8)C2311yescharacteristic, complemented
441Dic79⋊C8C2311yescharacteristic, complemented
442Dic79⋊C8C2311yescharacteristic, complemented
443#14579086C2311yescharacteristic, complemented
444#14579085C2311yescharacteristic, complemented
445#14579085C2311yescharacteristic, complemented
446#14579085C2311yescharacteristic, complemented
447#14579084C2311yescharacteristic, complemented
448#14579083C2311yescharacteristic
449#14579083C2311yescharacteristic
450#14579083C2311yescharacteristic, complemented
451#14579083C2311yescharacteristic, complemented
452#14579083C2311yescharacteristic, complemented
453#14579082C2311yescharacteristic
454#14579082C2311yescharacteristic
455#14579082C2311yescharacteristic, complemented
456#14579081C2311yescharacteristic
457#14579081C2311yescharacteristic
458#14579081C2311yescharacteristic, complemented
459#14579081C2311yescharacteristic, complemented
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#14579071C2311yescharacteristic, complemented
468C4×C79⋊C8C2311yescharacteristic, complemented
469C8×Dic79C2311yescharacteristic, 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—21no—
522C23×D79—21no—
523C23×D79—21no—
524C23×D79—21no—
525C23×D79—44no—
526C23×D79—82no—
527C23×D79—82no—
528C23×D79C2×D411yescharacteristic
529#11929625—22no—
530#11929625—22no—
531#11929625—22no—
532#11929625—22no—
533#11929625—22no—
534#11929625—22no—
535#11929625—22no—
536#11929625—41no—
537#11929625—41no—
538#11929625—41no—
539#11929624—22no—
540#11929624—22no—
541#11929624—22no—
542#11929624—44no—
543#11929624—44no—
544#11929624—44no—
545#11929624—41no—
546#11929623—22no—
547#11929623—44no—
548#11929623—41no—
549C2×Dic158—21no—
550C2×Dic158C2×D411yescharacteristic
551C2×Dic158C2411yescharacteristic
552Q8×D79—22no—
553Q8×D79—22no—
554C2×D316—21no—
555C2×D316—21no—
556C2×D316—21no—
557C2×D316—21no—
558C2×D316—21no—
559C2×D316—21no—
560C2×D316—21no—
561C2×D316—21no—
562C2×D316—22no—
563C2×D316—22no—
564C2×D316—22no—
565C2×D316—21no—
566C2×D316—21no—
567C2×D316—21no—
568C2×D316—21no—
569C2×D316—21no—
570C2×D316—41no—
571C2×D316—41no—
572C2×D316—41no—
573C2×D316—44no—
574C2×D316—44no—
575C2×D316—82no—
576C2×D316C2×D411yescharacteristic
577C2×D316C2×D411yescharacteristic
578C2×D316C2411yescharacteristic
579C2×D316C2411yescharacteristic
580C2×D316C2411yescharacteristic
581C2×D316C2411yescharacteristic
582C2×D316C2411yescharacteristic
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—21no—
591C2×C22⋊D79—21no—
592C2×C22⋊D79—21no—
593C2×C22⋊D79—21no—
594C2×C22⋊D79—21no—
595C2×C22⋊D79—21no—
596C2×C22⋊D79—21no—
597C2×C22⋊D79—21no—
598C2×C22⋊D79—44no—
599C2×C22⋊D79—82no—
600C2×C22⋊D79C2×D411yescharacteristic
601C2×C22⋊D79C2×D411yescharacteristic
602C2×C22⋊D79C2×D411yescharacteristic
603C2×C22⋊D79C2×D411yescharacteristic
604D4×D79—22no—
605D4×D79—22no—
606D4×D79—22no—
607D4×D79—22no—
608D4×D79—22no—
609D4×D79—22no—
610D4×D79—22no—
611D4×D79—22no—
612D4×D79—44no—
613D4×D79—44no—
614D4×D79—44no—
615D4×D79—44no—
616D4×D79—44no—
617D4×D79—41no—
618D4×D79—41no—
619D4×D79—41no—
620D4×D79—41no—
621D4×D79—44no—
622D4×D79—44no—
623D4×D79—82no—
624D4×D79—82no—
625D4×D79C2×D414yes—
626D4×D79C2×D414yescomplemented
627C22×Dic79—21no—
628C22×Dic79—21no—
629C22×Dic79—21no—
630C22×Dic79C2×D411yescharacteristic
631C2×C4×D79—22no—
632C2×C4×D79—22no—
633C2×C4×D79—21no—
634C2×C4×D79—21no—
635C2×C4×D79—21no—
636C2×C4×D79—21no—
637C2×C4×D79—21no—
638C2×C4×D79—21no—
639C2×C4×D79—21no—
640C2×C4×D79—21no—
641C2×C4×D79—21no—
642C2×C4×D79—21no—
643C2×C4×D79—21no—
644C2×C4×D79—44no—
645C2×C4×D79C2×D411yescharacteristic
646C2×C4×D79C2×D411yescharacteristic
647C2×C4×D79C2411yescharacteristic
648C2×C4×D79C2411yescharacteristic
649C2×C4×D79C2411yescharacteristic
650#11929614—41no—
651#11929613—22no—
652#11929613—22no—
653#11929613—41no—
654#11929612—22no—
655#11929612—22no—
656#11929611—22no—
657#11929611—22no—
658#11929611—22no—
659#11929611—22no—
660#11929611—22no—
661#11929611—22no—
662#11929611—41no—
663#11929611—41no—
664D632—22no—
665D632—22no—
666D632—22no—
667D632—22no—
668D632—41no—
669D632C2×D414yescomplemented
670#11929609—22no—
671#11929609—22no—
672#11929609—22no—
673#11929609—22no—
674#11929609—41no—
675#11929609C2×D414yescomplemented
676#11929609C2×D414yescomplemented
677#11929608—22no—
678#11929608—22no—
679#11929607—22no—
680#11929607—22no—
681#11929607—22no—
682#11929607—22no—
683#11929607—22no—
684C2×C79⋊C8C2411yescharacteristic
685C2×C79⋊C8C2411yescharacteristic
686C2×C79⋊C8C2411yescharacteristic
687C2×C79⋊C8C2411yescharacteristic
688C8×D79—22no—
689C8×D79—22no—
690C8×D79C2×D414yescomplemented
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⋊C4C2×D411yescharacteristic
702Dic79⋊C4C2×D411yescharacteristic
703Dic79⋊C4C2×D411yescharacteristic
704Dic79⋊C4C2×D411yescharacteristic
705C22⋊Dic79—21no—
706C22⋊Dic79—21no—
707C22⋊Dic79—21no—
708C22⋊Dic79—21no—
709C22⋊Dic79C2×D411yescharacteristic
710C22⋊Dic79C2×D411yescharacteristic
711(C2×D79)⋊C4—21no—
712(C2×D79)⋊C4—21no—
713(C2×D79)⋊C4—21no—
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)⋊C4—21no—
733(C2×D79)⋊C4C2×D411yescharacteristic
734(C2×D79)⋊C4C2×D411yescharacteristic
735(C2×D79)⋊C4C2×D411yescharacteristic
736(C2×D79)⋊C4C2×D411yescharacteristic
737(C2×D79)⋊C4C2×D411yescharacteristic
738(C2×D79)⋊C4C2×D411yescharacteristic
739C4×Dic79—21no—
740C4×Dic79—21no—
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—24no—
816C22×D79—24no—
817C22×D79—21no—
818C22×D79—21no—
819C22×D79—21no—
820C22×D79—41no—
821C22×D79—41no—
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—81no—
834C22×D79—81no—
835C22×D79—81no—
836C22×D79—81no—
837C22×D79—81no—
838C22×D79—81no—
839C22×D79—81no—
840C22×D79—81no—
841C22×D79—81no—
842C22×D79—81no—
843C22×D79—81no—
844C22×D79—81no—
845C22×D79—81no—
846C22×D79—81no—
847C22×D79—81no—
848C22×D79—81no—
849C22×D79—81no—
850C22×D79—816no—
851C22×D79C22×D411yescharacteristic
852C22×D79C22×D411yescharacteristic
853C22×D79C22×D411yescharacteristic
854Q8×C79—21no—
855Q8×C79—21no—
856Q8×C79—21no—
857Q8×C79—21no—
858Q8×C79—21no—
859Q8×C79—21no—
860D4×C79—21no—
861D4×C79—21no—
862D4×C79—21no—
863D4×C79—21no—
864D4×C79—41no—
865D4×C79—42no—
866D4×C79—42no—
867D4×C79—42no—
868D4×C79—42no—
869D4×C79—81no—
870D4×C79C22×D412yes—
871D4×C79C22×D412yes—
872C2×C4×C79—21no—
873C2×C4×C79—21no—
874C2×C4×C79—21no—
875C2×C4×C79—21no—
876C2×C4×C79—21no—
877C2×C4×C79—21no—
878C2×C4×C79—21no—
879C2×C4×C79—21no—
880C2×C4×C79—21no—
881C2×C4×C79—42no—
882C2×C4×C79—42no—
883C2×C4×C79—42no—
884C2×C4×C79—81no—
885C2×C4×C79—81no—
886C2×C4×C79C22×D411yescharacteristic
887C2×C4×C79C22×D411yescharacteristic
888C2×C4×C79C22×D411yescharacteristic
889C2×C4×C79C22×D411yescharacteristic
890C2×C4×C79C2511yescharacteristic
891C22⋊D79—22no—
892C22⋊D79—24no—
893C22⋊D79—24no—
894C22⋊D79—22no—
895C22⋊D79—41no—
896C22⋊D79—41no—
897C22⋊D79—42no—
898C22⋊D79—42no—
899C22⋊D79—42no—
900C22⋊D79—42no—
901C22⋊D79—42no—
902C22⋊D79—42no—
903C22⋊D79—42no—
904C22⋊D79—42no—
905C22⋊D79—81no—
906C22⋊D79—81no—
907C22⋊D79—81no—
908C22⋊D79—81no—
909C22⋊D79—81no—
910C2×Dic79—22no—
911C2×Dic79—21no—
912C2×Dic79—21no—
913C2×Dic79—21no—
914C2×Dic79—42no—
915C2×Dic79—81no—
916C2×Dic79—81no—
917C2×Dic79C22×D411yescharacteristic
918C2×Dic79C22×D411yescharacteristic
919C2×Dic79C22×D411yescharacteristic
920C2×Dic79C22×D411yescharacteristic
921C2×Dic79C22×D411yescharacteristic
922D316—22no—
923D316—21no—
924D316—21no—
925D316—21no—
926D316—21no—
927D316—21no—
928D316—21no—
929D316—21no—
930D316—21no—
931D316—41no—
932D316—42no—
933D316—42no—
934D316—42no—
935D316—42no—
936D316—42no—
937D316—42no—
938D316—42no—
939D316—42no—
940D316—42no—
941D316—81no—
942D316—81no—
943D316—81no—
944D316—81no—
945D316C22×D412yes—
946D316C22×D412yes—
947C4×D79—22no—
948C4×D79—21no—
949C4×D79—21no—
950C4×D79—21no—
951C4×D79—21no—
952C4×D79—22no—
953C4×D79—42no—
954C4×D79—42no—
955C4×D79—42no—
956C4×D79—42no—
957C4×D79—42no—
958C4×D79—42no—
959C4×D79—42no—
960C4×D79—81no—
961C4×D79—81no—
962C4×D79—81no—
963C4×D79—81no—
964C4×D79C22×D412yes—
965C4×D79H(5,𝔽2)12yes—
966Dic158—22no—
967Dic158—21no—
968Dic158—21no—
969Dic158—42no—
970C8×C79—21no—
971C8×C79—21no—
972C8×C79—21no—
973C8×C79C22×D412yes—
974C79⋊C8—21no—
975C79⋊C8—21no—
976C79⋊C8—21no—
977C79⋊C8C22×D412yes—
978C22×C79—21no—
979C22×C79—21no—
980C22×C79—21no—
981C22×C79—21no—
982C22×C79—21no—
983C22×C79—22no—
984C22×C79—22no—
985C22×C79—21no—
986C22×C79—41no—
987C22×C79—41no—
988C22×C79—41no—
989C22×C79—41no—
990C22×C79—41no—
991C22×C79—41no—
992C22×C79—41no—
993C22×C79—84no—
994C22×C79C23×D411yescharacteristic
995C2×D79—21no—
996C2×D79—21no—
997C2×D79—21no—
998C2×D79—21no—
999C2×D79—21no—
1000C2×D79—21no—
1001C2×D79—22no—
1002C2×D79—22no—
1003C2×D79—21no—
1004C2×D79—21no—
1005C2×D79—44no—
1006C2×D79—41no—
1007C2×D79—41no—
1008C2×D79—41no—
1009C2×D79—41no—
1010C2×D79—41no—
1011C2×D79—41no—
1012C2×D79—41no—
1013C2×D79—41no—
1014C2×D79—41no—
1015C2×D79—41no—
1016C2×D79—41no—
1017C2×D79—41no—
1018C2×D79—41no—
1019C2×D79—84no—
1020C2×D79—84no—
1021C2×D79—84no—
1022C2×D79—84no—
1023C2×D79—84no—
1024C2×D79—84no—
1025C2×D79—162no—
1026C2×D79—162no—
1027C2×D79—162no—
1028C2×D79—162no—
1029C2×D79D4212yes—
1030C4×C79—21no—
1031C4×C79—21no—
1032C4×C79—21no—
1033C4×C79—21no—
1034C4×C79—41no—
1035C4×C79—41no—
1036C4×C79—41no—
1037C4×C79—41no—
1038C4×C79—41no—
1039C4×C79C23×D411yescharacteristic
1040C4×C79C2×H(5,𝔽2)11yescharacteristic
1041Dic79—21no—
1042Dic79—21no—
1043Dic79—21no—
1044Dic79—21no—
1045Dic79—41no—
1046Dic79—41no—
1047Dic79—41no—
1048Dic79D4212yes—
1049#61058—791nomaximal, Sylow
1050C2×C79—41no—
1051C2×C79—42no—
1052C2×C79—42no—
1053C2×C79—41no—
1054C2×C79—81no—
1055C2×C79C2×D4211yescharacteristic
1056C2×C79#358511yescharacteristic
1057C2×C79#358511yescharacteristic
1058D79—22no—
1059D79—41no—
1060D79—41no—
1061D79—42no—
1062D79—42no—
1063D79—81no—
1064D79—81no—
1065D79—81no—
1066C2×#576—791no—
1067C22×AGL(1,ℤ/8)—791no—
1068#3485—791no—
1069#3484—791no—
1070#3273—791no—
1071#3273—791no—
1072#3273—791no—
1073#3273—791no—
1074#3272—791no—
1075#3272—791no—
1076#3272—791no—
1077#3272—791no—
1078#3267—791no—
1079#3267—791no—
1080#3267—791no—
1081#3267D7911yescharacteristic, complemented
1082#3264—791no—
1083#3264—791no—
1084#3264—791no—
1085#3264—791no—
1086#3154—791no—
1087#3057—791no—
1088#3054—791no—
1089#3042—791no—
1090#3041—791no—
1091#3009—791no—
1092#3008—791no—
1093#3005—791no—
1094#3003—791no—
1095#2948—791no—
1096#2930—791no—
1097C79#6105811yescharacteristic, complemented, Sylow
1098C2×H(5,𝔽2)—791no—
1099C2×H(5,𝔽2)—791no—
1100C22×#41—791no—
1101C23×D4—791no—
1102#576—1588no—
1103C2×#137—791no—
1104C2×AGL(1,ℤ/8)—791no—
1105C2×AGL(1,ℤ/8)—791no—
1106C2×AGL(1,ℤ/8)—791no—
1107C2×AGL(1,ℤ/8)—791no—
1108C2×AGL(1,ℤ/8)—791no—
1109C2×AGL(1,ℤ/8)—791no—
1110C2×AGL(1,ℤ/8)—791no—
1111C2×AGL(1,ℤ/8)—791no—
1112C2×AGL(1,ℤ/8)—791no—
1113C2×AGL(1,ℤ/8)—791no—
1114C2×AGL(1,ℤ/8)—791no—
1115C2×AGL(1,ℤ/8)—791no—
1116C2×AGL(1,ℤ/8)—791no—
1117C2×AGL(1,ℤ/8)—791no—
1118C2×AGL(1,ℤ/8)—1588no—
1119C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1120C2×#135—791no—
1121C2×#135—791no—
1122C2×#135C2×D7911yescharacteristic, complemented
1123C22×SD16—791no—
1124C22×SD16—791no—
1125C22×D8—791no—
1126C22×D8—791no—
1127C22×D8—791no—
1128C22×D8—791no—
1129C2×#131—791no—
1130C22×M16—791no—
1131#547—791no—
1132#547—791no—
1133#547—791no—
1134#547—1581no—
1135#547—1581no—
1136#547C2×D7911yescharacteristic, complemented
1137#546—791no—
1138#546—791no—
1139#546—791no—
1140#546—791no—
1141#546—791no—
1142#546—791no—
1143#546—791no—
1144#546—1581no—
1145#546—1581no—
1146#546—1581no—
1147#546—1581no—
1148#546C2×D7911yescharacteristic, complemented
1149D42—791no—
1150D42—791no—
1151D42—791no—
1152D42—791no—
1153D42—1581no—
1154D42—1581no—
1155#536—791no—
1156#536—791no—
1157#535—791no—
1158#535—791no—
1159#534—1581no—
1160#534—1581no—
1161#534—1581no—
1162#534—1581no—
1163#525—791no—
1164#525—791no—
1165#525—791no—
1166C2×#123—1581no—
1167C2×#123—1581no—
1168C2×#120—1581no—
1169C2×#120—1581no—
1170#518—791no—
1171#518—791no—
1172#497—791no—
1173#497C2×D7911yescharacteristic, complemented
1174#496—791no—
1175#496—791no—
1176#495—791no—
1177#495—791no—
1178#492—791no—
1179#492—791no—
1180#470—791no—
1181#470C2×D7911yescharacteristic, complemented
1182#469—791no—
1183#469—791no—
1184#468—791no—
1185#468—791no—
1186#468—791no—
1187#468—791no—
1188#468—791no—
1189#468—791no—
1190#468—791no—
1191#468—791no—
1192#465—791no—
1193#465—791no—
1194#465—791no—
1195#465C2×D7911yescharacteristic, complemented
1196#463—791no—
1197#463—791no—
1198#463—791no—
1199#463—791no—
1200#463—791no—
1201#463—791no—
1202#463—791no—
1203#463C2×D7911yescharacteristic, complemented
1204#461—791no—
1205#461—791no—
1206#461—791no—
1207#461C2×D7911yescharacteristic, complemented
1208#459—791no—
1209#459—791no—
1210#459—791no—
1211#459—791no—
1212#452—791no—
1213#452—791no—
1214#452—791no—
1215#452—791no—
1216#452—791no—
1217#452—791no—
1218#452C2×D7911yescharacteristic, complemented
1219#452C2×D7911yescharacteristic, complemented
1220#450—791no—
1221#450—791no—
1222#450—791no—
1223#450—791no—
1224#450—791no—
1225#450—791no—
1226#450—791no—
1227#450C2×D7911yescharacteristic, complemented
1228#449—791no—
1229#449—791no—
1230#449—791no—
1231#449—791no—
1232#449—791no—
1233#449—791no—
1234#449—791no—
1235#449C2×D7911yescharacteristic, complemented
1236#447—791no—
1237#447—791no—
1238#447—791no—
1239#447—791no—
1240#447—791no—
1241#447—791no—
1242#447—791no—
1243#447—791no—
1244#442—791no—
1245#442—791no—
1246#442—791no—
1247#442C2×D7911yescharacteristic, complemented
1248C4×D8—791no—
1249C4×D8—791no—
1250C4×D8—791no—
1251C4×D8—791no—
1252#436—791no—
1253#436—791no—
1254#436—791no—
1255#436—791no—
1256#435—791no—
1257#435—791no—
1258#435—791no—
1259#435C2×D7911yescharacteristic, complemented
1260#427—791no—
1261#424—791no—
1262#419—791no—
1263#418—791no—
1264#418—791no—
1265#418—791no—
1266#416—791no—
1267#416—791no—
1268#408—791no—
1269#407—791no—
1270#405—791no—
1271C25—1581no—
1272H(5,𝔽2)—3162no—
1273H(5,𝔽2)—3162no—
1274H(5,𝔽2)—1584no—
1275H(5,𝔽2)—1584no—
1276C2×#41—3162no—
1277C2×#41—791no—
1278C2×#41—791no—
1279C2×#41—791no—
1280C2×#41—791no—
1281C2×#41—791no—
1282C2×#41—791no—
1283C2×#41—791no—
1284C2×#41—791no—
1285C2×#41—1581no—
1286C2×#41—1581no—
1287C2×#41—1581no—
1288C2×#41—1584no—
1289C2×#41—1581no—
1290C2×#41C22×D7911yescharacteristic
1291C2×#41C22×D7911yescharacteristic
1292C2×#41C22×D7911yescharacteristic, complemented
1293C22×Q8—791no—
1294C22×D4—3162no—
1295C22×D4—791no—
1296C22×D4—791no—
1297C22×D4—791no—
1298C22×D4—791no—
1299C22×D4—791no—
1300C22×D4—791no—
1301C22×D4—791no—
1302C22×D4—791no—
1303C22×D4—791no—
1304C22×D4—791no—
1305C22×D4—1581no—
1306C22×D4—1581no—
1307C22×D4—1581no—
1308C22×D4—1581no—
1309C22×D4—1581no—
1310C22×D4—1581no—
1311C22×D4—1581no—
1312C22×D4—1581no—
1313C22×D4—1581no—
1314C22×D4—1581no—
1315C22×D4—1581no—
1316C22×D4—1584no—
1317C22×D4—1581no—
1318C22×D4—1581no—
1319C22×D4—1581no—
1320C22×D4C22×D7911yescharacteristic
1321C23×C4—791no—
1322C23×C4—1581no—
1323#137—3162no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—3162no—
1326AGL(1,ℤ/8)—1584no—
1327AGL(1,ℤ/8)—1584no—
1328AGL(1,ℤ/8)—1584no—
1329AGL(1,ℤ/8)—1584no—
1330AGL(1,ℤ/8)—1584no—
1331AGL(1,ℤ/8)—1584no—
1332AGL(1,ℤ/8)—1584no—
1333AGL(1,ℤ/8)—1584no—
1334AGL(1,ℤ/8)—1584no—
1335AGL(1,ℤ/8)—1584no—
1336AGL(1,ℤ/8)—1584no—
1337AGL(1,ℤ/8)—1584no—
1338AGL(1,ℤ/8)—1584no—
1339#135—24no—
1340#135—1584no—
1341#135—1584no—
1342C2×Q16—791no—
1343C2×Q16C22×D7911yescharacteristic, complemented
1344C2×Q16C22×D7911yescharacteristic, complemented
1345C2×SD16—791no—
1346C2×SD16—791no—
1347C2×SD16—791no—
1348C2×SD16—791no—
1349C2×SD16—791no—
1350C2×SD16—791no—
1351C2×SD16—791no—
1352C2×SD16—791no—
1353C2×SD16—791no—
1354C2×SD16—791no—
1355C2×SD16—791no—
1356C2×SD16—791no—
1357C2×SD16—791no—
1358C2×SD16—1584no—
1359C2×SD16—1584no—
1360C2×SD16C22×D7911yescharacteristic
1361C2×SD16C22×D7911yescharacteristic
1362C2×SD16C22×D7911yescharacteristic
1363C2×SD16C22×D7911yescharacteristic
1364C2×SD16C22×D7911yescharacteristic, complemented
1365C2×D8—791no—
1366C2×D8—791no—
1367C2×D8—791no—
1368C2×D8—798no—
1369C2×D8—791no—
1370C2×D8—791no—
1371C2×D8—791no—
1372C2×D8—791no—
1373C2×D8—791no—
1374C2×D8—791no—
1375C2×D8—791no—
1376C2×D8—791no—
1377C2×D8—791no—
1378C2×D8—791no—
1379C2×D8—1584no—
1380C2×D8—1584no—
1381C2×D8—1584no—
1382C2×D8C22×D7911yescharacteristic
1383C2×D8C22×D7911yescharacteristic
1384#131—1584no—
1385C2×M16—791no—
1386C2×M16—791no—
1387C2×M16—791no—
1388C2×M16—791no—
1389C2×M16—791no—
1390C2×M16—791no—
1391C2×M16—791no—
1392C2×M16—1584no—
1393C2×M16C22×D7911yescharacteristic
1394C22×C8—791no—
1395C22×C8—791no—
1396C22×C8—791no—
1397C22×C8C22×D7911yescharacteristic, complemented
1398C4⋊Q8—791no—
1399C4⋊Q8—1581no—
1400C4⋊Q8C22×D7911yescharacteristic, complemented
1401#127—791no—
1402#127—791no—
1403#127—1581no—
1404#124—791no—
1405#124—791no—
1406#124—791no—
1407#124—1581no—
1408#124—1581no—
1409#124C22×D7911yescharacteristic
1410#123—21no—
1411#123—21no—
1412#123—21no—
1413#123—791no—
1414#123—791no—
1415#123—1581no—
1416#123—1581no—
1417#123—1581no—
1418#123—1581no—
1419#123—1581no—
1420#123—1581no—
1421#123—1581no—
1422#123—1581no—
1423#123—1581no—
1424#123—1581no—
1425#123—1581no—
1426#123—1581no—
1427#123—1581no—
1428#123—1581no—
1429#123—1581no—
1430#123—1581no—
1431#123—1581no—
1432#123—1581no—
1433#123—1581no—
1434C22⋊Q8—791no—
1435C22⋊Q8—791no—
1436C22⋊Q8—791no—
1437C22⋊Q8—791no—
1438C22⋊Q8—791no—
1439C22⋊Q8—791no—
1440C22⋊Q8—791no—
1441C22⋊Q8—1581no—
1442C22⋊Q8—1581no—
1443C22⋊Q8C22×D7911yescharacteristic
1444C22⋊Q8C22×D7911yescharacteristic
1445C22⋊Q8C22×D7911yescharacteristic, complemented
1446#121—21no—
1447#121—21no—
1448#121—791no—
1449#121—791no—
1450#121—791no—
1451#121—791no—
1452#121—791no—
1453#121—791no—
1454#121—791no—
1455#121—791no—
1456#121—791no—
1457#121—1581no—
1458#121—1581no—
1459#121—1581no—
1460#121—1581no—
1461#121—1581no—
1462#121—1581no—
1463#121—1581no—
1464#121—1581no—
1465#121—1581no—
1466#121—1581no—
1467#121—1581no—
1468#121—1581no—
1469#121—1581no—
1470#121—1581no—
1471#121—1581no—
1472#121—1581no—
1473#121C22×D7911yescharacteristic
1474#120—21no—
1475#120—791no—
1476#120—791no—
1477#120—1581no—
1478#120—1581no—
1479#120—1581no—
1480#120—1581no—
1481#120—1581no—
1482#120—1581no—
1483#120—1581no—
1484#120—1581no—
1485#120—1581no—
1486#120—1581no—
1487#120—1581no—
1488#120—1581no—
1489#120—1581no—
1490#120—1581no—
1491#120—1581no—
1492#120—1581no—
1493#120—1581no—
1494#120—1581no—
1495#120—1581no—
1496#120—1581no—
1497#120—1581no—
1498C4×D4—791no—
1499C4×D4—791no—
1500C4×D4—791no—
1501C4×D4—791no—
1502C4×D4—791no—
1503C4×D4—791no—
1504C4×D4—791no—
1505C4×D4—791no—
1506C4×D4—791no—
1507C4×D4—1581no—
1508C4×D4—1581no—
1509C4×D4—1581no—
1510C4×D4—1581no—
1511C4×D4—1581no—
1512C4×D4—1581no—
1513C4×D4—1581no—
1514C4×D4—1581no—
1515C4×D4C22×D7911yescharacteristic
1516C4×D4C22×D7911yescharacteristic
1517C4×D4C22×D7911yescharacteristic, complemented
1518#117—791no—
1519#117—791no—
1520#117—791no—
1521C2×C4⋊C4—21no—
1522C2×C4⋊C4—1581no—
1523C2×C4⋊C4—1581no—
1524C2×C4⋊C4—1581no—
1525C2×C22⋊C4—21no—
1526C2×C22⋊C4—1581no—
1527C2×C22⋊C4—1581no—
1528C2×C22⋊C4—1581no—
1529C2×C22⋊C4—1581no—
1530C2×C22⋊C4—1581no—
1531C2×C22⋊C4—1581no—
1532C2×C22⋊C4—1581no—
1533C2×C22⋊C4—1581no—
1534C2×C22⋊C4—1581no—
1535C2×C22⋊C4—1581no—
1536C2×C22⋊C4—1581no—
1537#107—791no—
1538#107—791no—
1539#106—791no—
1540#106C22×D7911yescharacteristic, complemented
1541C4⋊C8—791no—
1542C4⋊C8—791no—
1543C4⋊C8—791no—
1544C4⋊C8C22×D7911yescharacteristic, complemented
1545#103—791no—
1546#103—791no—
1547#103—791no—
1548#103—791no—
1549#103—791no—
1550#103C22×D7911yescharacteristic, complemented
1551#103C22×D7911yescharacteristic, complemented
1552#103C22×D7911yescharacteristic, complemented
1553#102—791no—
1554#102—791no—
1555#102—791no—
1556#102—791no—
1557#102—791no—
1558#102—791no—
1559#102—791no—
1560#102—791no—
1561#102—791no—
1562#102—791no—
1563#102—791no—
1564#102—791no—
1565#102—791no—
1566#102C22×D7911yescharacteristic
1567#102C22×D7911yescharacteristic
1568#102C22×D7911yescharacteristic, complemented
1569C22⋊C8—791no—
1570C22⋊C8—791no—
1571C22⋊C8—791no—
1572C22⋊C8—791no—
1573C22⋊C8—791no—
1574C22⋊C8—791no—
1575C22⋊C8C22×D7911yescharacteristic
1576C22⋊C8C22×D7911yescharacteristic, complemented
1577#97—791no—
1578#97C22×D7911yescharacteristic, complemented
1579C4×C8—791no—
1580C4×C8—791no—
1581C24—21no—
1582C24—3164no—
1583C24—791no—
1584C24—6322no—
1585C24—6322no—
1586C24—1581no—
1587C24—1581no—
1588C24—1581no—
1589C24—1581no—
1590C24—1581no—
1591C24—1581no—
1592C24—1581no—
1593C24—1581no—
1594C24—1581no—
1595C24—1581no—
1596#41—22no—
1597#41—22no—
1598#41—22no—
1599#41—41no—
1600#41—41no—
1601#41—41no—
1602#41—3161no—
1603#41—3164no—
1604#41—3164no—
1605#41—3164no—
1606#41—3161no—
1607#41—3164no—
1608#41—3161no—
1609#41—3161no—
1610#41—3161no—
1611#41—1582no—
1612#41—1582no—
1613#41—1582no—
1614#41—1582no—
1615#41—1582no—
1616#41—1582no—
1617#41—1582no—
1618#41—1582no—
1619#41—1582no—
1620#41—1582no—
1621#41—1582no—
1622C2×Q8—791no—
1623C2×Q8—791no—
1624C2×Q8—1581no—
1625C2×Q8—1582no—
1626C2×Q8—1582no—
1627C2×Q8C23×D7911yescharacteristic
1628C2×Q8C23×D7911yescharacteristic
1629C2×Q8C23×D7911yescharacteristic
1630C2×D4—22no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—41no—
1637C2×D4—3161no—
1638C2×D4—3161no—
1639C2×D4—3161no—
1640C2×D4—3164no—
1641C2×D4—3164no—
1642C2×D4—3164no—
1643C2×D4—3164no—
1644C2×D4—3164no—
1645C2×D4—3164no—
1646C2×D4—3164no—
1647C2×D4—3161no—
1648C2×D4—3161no—
1649C2×D4—3161no—
1650C2×D4—3161no—
1651C2×D4—3164no—
1652C2×D4—3164no—
1653C2×D4—3164no—
1654C2×D4—791no—
1655C2×D4—791no—
1656C2×D4—794no—
1657C2×D4—794no—
1658C2×D4—791no—
1659C2×D4—791no—
1660C2×D4—791no—
1661C2×D4—791no—
1662C2×D4—791no—
1663C2×D4—791no—
1664C2×D4—791no—
1665C2×D4—791no—
1666C2×D4—791no—
1667C2×D4—6322no—
1668C2×D4—6322no—
1669C2×D4—6322no—
1670C2×D4—6322no—
1671C2×D4—1581no—
1672C2×D4—1581no—
1673C2×D4—1581no—
1674C2×D4—1581no—
1675C2×D4—1581no—
1676C2×D4—1581no—
1677C2×D4—1582no—
1678C2×D4—1582no—
1679C2×D4—1582no—
1680C2×D4—1581no—
1681C2×D4—1581no—
1682C2×D4—1582no—
1683C2×D4—1582no—
1684C2×D4—1582no—
1685C2×D4—1582no—
1686C2×D4—1581no—
1687C2×D4—1581no—
1688C2×D4—1581no—
1689C2×D4—1581no—
1690C2×D4—1581no—
1691C2×D4—1581no—
1692C2×D4—1581no—
1693C2×D4—1581no—
1694C2×D4—1581no—
1695C2×D4—1582no—
1696C2×D4—1581no—
1697C2×D4—1581no—
1698C2×D4—1581no—
1699C2×D4—1582no—
1700C2×D4—1582no—
1701C2×D4—1582no—
1702C2×D4—1581no—
1703C2×D4—1581no—
1704C2×D4—1581no—
1705C2×D4—1581no—
1706C2×D4—1581no—
1707C2×D4—1581no—
1708C2×D4—1581no—
1709C2×D4—1581no—
1710C2×D4D4×D7911yescharacteristic
1711C2×D4C23×D7911yescharacteristic
1712C2×D4C23×D7911yescharacteristic
1713C2×D4C23×D7911yescharacteristic
1714C22×C4—21no—
1715C22×C4—21no—
1716C22×C4—21no—
1717C22×C4—21no—
1718C22×C4—21no—
1719C22×C4—3164no—
1720C22×C4—791no—
1721C22×C4—791no—
1722C22×C4—791no—
1723C22×C4—791no—
1724C22×C4—791no—
1725C22×C4—791no—
1726C22×C4—1581no—
1727C22×C4—1581no—
1728C22×C4—1581no—
1729C22×C4—1581no—
1730C22×C4—1581no—
1731C22×C4—1581no—
1732C22×C4—1581no—
1733C22×C4—1581no—
1734C22×C4—1582no—
1735C22×C4—1582no—
1736C22×C4—1581no—
1737C22×C4—1581no—
1738C22×C4—1581no—
1739C22×C4—1581no—
1740C22×C4—1581no—
1741C22×C4—1581no—
1742C22×C4C23×D7911yescharacteristic
1743C22×C4C23×D7911yescharacteristic
1744Q16—22no—
1745Q16—41no—
1746Q16—3161no—
1747SD16—22no—
1748SD16—22no—
1749SD16—22no—
1750SD16—22no—
1751SD16—41no—
1752SD16—3161no—
1753SD16—3161no—
1754SD16—3161no—
1755SD16—1582no—
1756SD16—1582no—
1757SD16—1582no—
1758SD16—1582no—
1759SD16—1582no—
1760SD16—1582no—
1761SD16—1582no—
1762SD16—1582no—
1763SD16—1582no—
1764SD16—1582no—
1765D8—22no—
1766D8—3161no—
1767D8—3161no—
1768D8—794no—
1769D8—794no—
1770D8—794no—
1771D8—1582no—
1772D8—1582no—
1773D8—1582no—
1774D8—1582no—
1775D8—1582no—
1776D8—1582no—
1777D8—1582no—
1778D8—1582no—
1779D8D4×D7914yescomplemented
1780M16—22no—
1781M16—1582no—
1782M16—1582no—
1783M16—1582no—
1784M16—1582no—
1785M16—1582no—
1786M16—1582no—
1787M16—1582no—
1788C2×C8—22no—
1789C2×C8—791no—
1790C2×C8—794no—
1791C2×C8—791no—
1792C2×C8—791no—
1793C2×C8—791no—
1794C2×C8—1582no—
1795C2×C8—1582no—
1796C2×C8C23×D7911yescharacteristic
1797C2×C8C23×D7911yescharacteristic
1798C2×C8C23×D7911yescharacteristic
1799C2×C8C23×D7911yescharacteristic
1800C4⋊C4—21no—
1801C4⋊C4—21no—
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—21no—
1805C4⋊C4—791no—
1806C4⋊C4—791no—
1807C4⋊C4—791no—
1808C4⋊C4—791no—
1809C4⋊C4—791no—
1810C4⋊C4—791no—
1811C4⋊C4—791no—
1812C4⋊C4—1581no—
1813C4⋊C4—1581no—
1814C4⋊C4—1581no—
1815C4⋊C4—1581no—
1816C4⋊C4—1581no—
1817C4⋊C4—1581no—
1818C4⋊C4—1581no—
1819C4⋊C4D4×D7911yescharacteristic
1820C4⋊C4C23×D7911yescharacteristic
1821C4⋊C4C23×D7911yescharacteristic
1822C22⋊C4—21no—
1823C22⋊C4—21no—
1824C22⋊C4—21no—
1825C22⋊C4—21no—
1826C22⋊C4—21no—
1827C22⋊C4—21no—
1828C22⋊C4—21no—
1829C22⋊C4—21no—
1830C22⋊C4—791no—
1831C22⋊C4—791no—
1832C22⋊C4—791no—
1833C22⋊C4—791no—
1834C22⋊C4—791no—
1835C22⋊C4—791no—
1836C22⋊C4—791no—
1837C22⋊C4—791no—
1838C22⋊C4—1581no—
1839C22⋊C4—1581no—
1840C22⋊C4—1581no—
1841C22⋊C4—1581no—
1842C22⋊C4—1581no—
1843C22⋊C4—1581no—
1844C22⋊C4—1581no—
1845C22⋊C4—1581no—
1846C22⋊C4—1581no—
1847C22⋊C4—1581no—
1848C22⋊C4—1581no—
1849C22⋊C4—1581no—
1850C22⋊C4—1581no—
1851C22⋊C4—1581no—
1852C22⋊C4—1581no—
1853C22⋊C4—1581no—
1854C22⋊C4—1581no—
1855C22⋊C4—1581no—
1856C22⋊C4—1581no—
1857C22⋊C4—1581no—
1858C22⋊C4—1581no—
1859C22⋊C4—1581no—
1860C22⋊C4—1581no—
1861C22⋊C4—1581no—
1862C22⋊C4—1581no—
1863C22⋊C4—1581no—
1864C22⋊C4D4×D7911yescharacteristic
1865C22⋊C4D4×D7911yescharacteristic
1866C42—791no—
1867C42—1581no—
1868C42—1581no—
1869C42C23×D7911yescharacteristic
1870C23—21no—
1871C23—21no—
1872C23—21no—
1873C23—42no—
1874C23—42no—
1875C23—81no—
1876C23—3161no—
1877C23—3161no—
1878C23—3162no—
1879C23—3162no—
1880C23—3162no—
1881C23—3162no—
1882C23—3162no—
1883C23—3162no—
1884C23—3162no—
1885C23—3162no—
1886C23—3162no—
1887C23—3162no—
1888C23—3162no—
1889C23—791no—
1890C23—791no—
1891C23—791no—
1892C23—6321no—
1893C23—6321no—
1894C23—6321no—
1895C23—6321no—
1896C23—6321no—
1897C23—6321no—
1898C23—6321no—
1899C23—6321no—
1900C23—6321no—
1901C23—6321no—
1902C23—6321no—
1903C23—6321no—
1904C23—6321no—
1905C23—6321no—
1906C23—6321no—
1907C23—6321no—
1908C23—6321no—
1909C23—63216no—
1910C23—1582no—
1911C23—1584no—
1912C23—1584no—
1913C23—1581no—
1914C23—1581no—
1915C23—1581no—
1916C23—1581no—
1917C23—1581no—
1918C23C2×D4×D7911yescharacteristic
1919C23C2×D4×D7911yescharacteristic
1920Q8—21no—
1921Q8—21no—
1922Q8—21no—
1923Q8—21no—
1924Q8—21no—
1925Q8—21no—
1926Q8—3162no—
1927Q8—1582no—
1928Q8—1581no—
1929Q8—1581no—
1930D4—21no—
1931D4—21no—
1932D4—21no—
1933D4—21no—
1934D4—41no—
1935D4—42no—
1936D4—42no—
1937D4—42no—
1938D4—42no—
1939D4—81no—
1940D4—3162no—
1941D4—3162no—
1942D4—3162no—
1943D4—3161no—
1944D4—3162no—
1945D4—3162no—
1946D4—3162no—
1947D4—3162no—
1948D4—3162no—
1949D4—3162no—
1950D4—3162no—
1951D4—3162no—
1952D4—3162no—
1953D4—3162no—
1954D4—3162no—
1955D4—3162no—
1956D4—3162no—
1957D4—3161no—
1958D4—3161no—
1959D4—3162no—
1960D4—792no—
1961D4—792no—
1962D4—6321no—
1963D4—6321no—
1964D4—6321no—
1965D4—6321no—
1966D4—6321no—
1967D4—6321no—
1968D4—6321no—
1969D4—6321no—
1970D4—6321no—
1971D4—1582no—
1972D4—1582no—
1973D4—1584no—
1974D4—1584no—
1975D4—1582no—
1976D4—1581no—
1977D4—1581no—
1978D4—1581no—
1979D4—1581no—
1980D4—1581no—
1981D4—1581no—
1982D4—1581no—
1983D4—1581no—
1984D4C2×D4×D7912yes—
1985D4C2×D4×D7912yes—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—42no—
1996C2×C4—42no—
1997C2×C4—42no—
1998C2×C4—81no—
1999C2×C4—81no—
2000C2×C4—3162no—
2001C2×C4—3162no—
2002C2×C4—3162no—
2003C2×C4—3162no—
2004C2×C4—3162no—
2005C2×C4—3162no—
2006C2×C4—3162no—
2007C2×C4—3162no—
2008C2×C4—791no—
2009C2×C4—792no—
2010C2×C4—792no—
2011C2×C4—791no—
2012C2×C4—791no—
2013C2×C4—791no—
2014C2×C4—791no—
2015C2×C4—6321no—
2016C2×C4—6321no—
2017C2×C4—6321no—
2018C2×C4—6321no—
2019C2×C4—6321no—
2020C2×C4—6321no—
2021C2×C4—1582no—
2022C2×C4—1582no—
2023C2×C4—1581no—
2024C2×C4—1581no—
2025C2×C4—1581no—
2026C2×C4—1582no—
2027C2×C4—1581no—
2028C2×C4—1581no—
2029C2×C4—1581no—
2030C2×C4—1581no—
2031C2×C4C2×D4×D7911yescharacteristic
2032C2×C4C2×D4×D7911yescharacteristic
2033C2×C4C2×D4×D7911yescharacteristic
2034C2×C4C2×D4×D7911yescharacteristic
2035C2×C4C24×D7911yescharacteristic
2036C8—21no—
2037C8—21no—
2038C8—21no—
2039C8—792no—
2040C8—1581no—
2041C8—1581no—
2042C8—1581no—
2043C8C2×D4×D7912yes—
2044C22—21no—
2045C22—21no—
2046C22—22no—
2047C22—22no—
2048C22—21no—
2049C22—21no—
2050C22—21no—
2051C22—21no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—84no—
2060C22—3164no—
2061C22—3161no—
2062C22—3161no—
2063C22—3161no—
2064C22—3161no—
2065C22—3161no—
2066C22—3161no—
2067C22—3161no—
2068C22—3161no—
2069C22—3161no—
2070C22—3161no—
2071C22—3161no—
2072C22—3161no—
2073C22—3161no—
2074C22—792no—
2075C22—6324no—
2076C22—6324no—
2077C22—6324no—
2078C22—6324no—
2079C22—6324no—
2080C22—6324no—
2081C22—1582no—
2082C22—1582no—
2083C22—1581no—
2084C22—1581no—
2085C22—1581no—
2086C22—1581no—
2087C22—1581no—
2088C22—1581no—
2089C22—1581no—
2090C22—1581no—
2091C22—12642no—
2092C22—12642no—
2093C22—12642no—
2094C22—12642no—
2095C22C22×D4×D7911yescharacteristic
2096C4—21no—
2097C4—21no—
2098C4—21no—
2099C4—21no—
2100C4—41no—
2101C4—41no—
2102C4—41no—
2103C4—41no—
2104C4—41no—
2105C4—3161no—
2106C4—3161no—
2107C4—3161no—
2108C4—792no—
2109C4—1581no—
2110C4—1581no—
2111C4—1581no—
2112C4—1581no—
2113C4C22×D4×D7911yescharacteristic
2114C4H(5,𝔽2)×D7911yescharacteristic
2115C2—41no—
2116C2—41no—
2117C2—42no—
2118C2—42no—
2119C2—81no—
2120C2—3161no—
2121C2—3162no—
2122C2—3162no—
2123C2—3161no—
2124C2—6321no—
2125C2—6321no—
2126C2—6321no—
2127C2—1582no—
2128C2D42×D7911yescharacteristic
2129C2#2377817711yescharacteristic
2130C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3267C2
socleC22×C79C23×D4
hypercenter#3267D79
hypocenterC79#61058
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×#19099365C2semidirect
2. C2×AGL(1,ℤ/8)×D79C2semidirect
3. #23777039C2semidirect
4. #23777030C2semidirect
5. #23775007C2semidirect
6. #23775006C2semidirect
7. #23775004C2semidirect
8. #23775004C2semidirect
9. #23775003C2semidirect
10. #23775000C2semidirect
11. #23774998C2semidirect
12. #23774993C2semidirect
13. #23774932C2semidirect
14. #23774925C2semidirect
15. #23774924C2semidirect
16. #23774885C2semidirect
17. #23774882C2semidirect
18. #23774877C2semidirect
19. #23774874C2semidirect
20. #23773875C2semidirect
21. #23773034C2semidirect
22. #23773011C2semidirect
23. #23772907C2semidirect
24. #23772901C2semidirect
25. #23772674C2semidirect
26. #23772665C2semidirect
27. #23772643C2semidirect
28. #23772628C2semidirect
29. #23772249C2semidirect
30. #23772098C2semidirect
31. C79×#3267C2semidirect
33. C2×#14579207C22semidirect
34. C2×#41×D79C22semidirect
35. C22×D4×D79C22semidirect
37. C2×#14579193C22semidirect
38. C2×#14579189C22semidirect
40. C2×#14579188C22semidirect
41. C2×#14579188C22semidirect
42. C2×#14579188C22semidirect
43. C2×#14579188C22semidirect
44. C2×#14579188C22semidirect
45. C2×#14579188C22semidirect
46. C2×#14579187C22semidirect
47. C2×#14579186C22semidirect
48. C2×#14579186C22semidirect
49. C2×#14579186C22semidirect
50. C2×#14579185C22semidirect
51. C2×#14579185C22semidirect
53. C2×#14579184C22semidirect
54. C2×#14579184C22semidirect
55. C2×SD16×D79C22semidirect
56. C2×SD16×D79C22semidirect
57. C22×D632C22semidirect
59. C2×D8×D79C22semidirect
60. C2×D8×D79C22semidirect
61. C2×#14579167C22semidirect
62. C2×M16×D79C22semidirect
63. #19099216C22semidirect
64. #19099215C22semidirect
66. #19099212C22semidirect
68. #19099209C22semidirect
69. #19099208C22semidirect
70. #19099206C22semidirect
73. #19099204C22semidirect
74. #19099204C22semidirect
77. #19099201C22semidirect
78. #19099201C22semidirect
79. D4×D316C22semidirect
80. D4×D316C22semidirect
82. #19099197C22semidirect
83. D4×C22⋊D79C22semidirect
85. #19099138C22semidirect
86. #19099136C22semidirect
87. #19099131C22semidirect
93. #19099076C22semidirect
94. #19099076C22semidirect
100. #19099035C22semidirect
101. #19099035C22semidirect
102. #19098956C22semidirect
103. #19098952C22semidirect
104. #19098949C22semidirect
105. #19098948C22semidirect
106. #19098945C22semidirect
107. #19098937C22semidirect
108. #19098934C22semidirect
109. #19098818C22semidirect
110. #19098817C22semidirect
111. #19098816C22semidirect
112. #19098812C22semidirect
113. #19098812C22semidirect
114. #19098812C22semidirect
115. #19098811C22semidirect
116. #19098811C22semidirect
117. #19098811C22semidirect
118. #19098808C22semidirect
119. #19098807C22semidirect
120. #19098793C22semidirect
121. #19098792C22semidirect
122. #19098789C22semidirect
123. #19098781C22semidirect
124. #19098781C22semidirect
125. #19098780C22semidirect
126. #19098780C22semidirect
127. #19098779C22semidirect
128. #19098778C22semidirect
129. #19098775C22semidirect
130. #19098767C22semidirect
131. #19098766C22semidirect
132. #19098765C22semidirect
133. #19098759C22semidirect
134. #19098758C22semidirect
135. #19098757C22semidirect
136. #19098756C22semidirect
137. #19098728C22semidirect
138. #19098725C22semidirect
139. #19098724C22semidirect
140. #19098724C22semidirect
141. #19098723C22semidirect
142. #19098722C22semidirect
143. #19098716C22semidirect
144. #19098715C22semidirect
145. #19098713C22semidirect
146. #19098713C22semidirect
147. #19098712C22semidirect
148. #19098712C22semidirect
149. #19098712C22semidirect
150. #19098711C22semidirect
151. #19098711C22semidirect
152. #19098710C22semidirect
153. #19098709C22semidirect
154. #19098708C22semidirect
155. #19098708C22semidirect
156. #19098707C22semidirect
157. #19098699C22semidirect
158. #19098699C22semidirect
159. #19098698C22semidirect
160. #19098698C22semidirect
161. #19098698C22semidirect
162. #19098697C22semidirect
163. #19098696C22semidirect
164. #19098695C22semidirect
165. #19098676C22semidirect
166. #19098675C22semidirect
167. #19098674C22semidirect
168. C4×#11929609C22semidirect
169. C4×#11929609C22semidirect
170. #19098643C22semidirect
171. #19098643C22semidirect
172. #19098641C22semidirect
173. #19098640C22semidirect
174. #19098638C22semidirect
175. #19098638C22semidirect
176. #19098636C22semidirect
177. #19098634C22semidirect
178. #19098632C22semidirect
179. #19098598C22semidirect
180. #19098588C22semidirect
181. #19098570C22semidirect
182. #19098566C22semidirect
183. #19098566C22semidirect
184. #19098566C22semidirect
185. #19098558C22semidirect
186. #19098558C22semidirect
187. #19098528C22semidirect
188. #19098525C22semidirect
189. #19098520C22semidirect
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
214. C2×#11929625C23semidirect
230. C22×D316C23semidirect
250. C2×D4×D79C23semidirect
270. C2×#11929614C23semidirect
273. C2×#11929613C23semidirect
280. C2×#11929611C23semidirect
281. C2×#11929611C23semidirect
282. C2×#11929611C23semidirect
283. C2×#11929611C23semidirect
291. C2×D632C23semidirect
292. C2×D632C23semidirect
299. C2×#11929609C23semidirect
302. D8×D79D4semidirect
305. C2×#11929608C23semidirect
310. C2×#11929607C23semidirect
314. C2×C8×D79C23semidirect
316. #14579159C23semidirect
321. #14579150C23semidirect
322. #14579149C23semidirect
346. #14579141C23semidirect
347. #14579140C23semidirect
354. #14579137C23semidirect
405. C4×D316C23semidirect
407. D4×Dic79C23semidirect
411. #14579123C23semidirect
437. #14579094C23semidirect
438. #14579094C23semidirect
439. #14579093C23semidirect
440. C4⋊(C79⋊C8)C23semidirect
441. Dic79⋊C8C23semidirect
442. Dic79⋊C8C23semidirect
443. #14579086C23semidirect
444. #14579085C23semidirect
445. #14579085C23semidirect
446. #14579085C23semidirect
447. #14579084C23semidirect
450. #14579083C23semidirect
451. #14579083C23semidirect
452. #14579083C23semidirect
455. #14579082C23semidirect
458. #14579081C23semidirect
459. #14579081C23semidirect
460. #14579081C23semidirect
462. C22⋊(C79⋊C8)C23semidirect
465. (C2×D79)⋊C8C23semidirect
466. (C2×D79)⋊C8C23semidirect
467. #14579071C23semidirect
468. C4×C79⋊C8C23semidirect
469. C8×Dic79C23semidirect
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
626. D4×D79C2×D4semidirect
669. D632C2×D4semidirect
675. #11929609C2×D4semidirect
676. #11929609C2×D4semidirect
690. C8×D79C2×D4semidirect
778. D8×C79C2×D4semidirect
1081. #3267D79semidirect
1097. C79#61058semidirect
1119. C2×AGL(1,ℤ/8)C2×D79semidirect
1122. C2×#135C2×D79semidirect
1136. #547C2×D79semidirect
1148. #546C2×D79semidirect
1173. #497C2×D79semidirect
1181. #470C2×D79semidirect
1195. #465C2×D79semidirect
1203. #463C2×D79semidirect
1207. #461C2×D79semidirect
1218. #452C2×D79semidirect
1219. #452C2×D79semidirect
1227. #450C2×D79semidirect
1235. #449C2×D79semidirect
1247. #442C2×D79semidirect
1259. #435C2×D79semidirect
1292. C2×#41C22×D79semidirect
1343. C2×Q16C22×D79semidirect
1344. C2×Q16C22×D79semidirect
1364. C2×SD16C22×D79semidirect
1397. C22×C8C22×D79semidirect
1400. C4⋊Q8C22×D79semidirect
1445. C22⋊Q8C22×D79semidirect
1517. C4×D4C22×D79semidirect
1540. #106C22×D79semidirect
1544. C4⋊C8C22×D79semidirect
1550. #103C22×D79semidirect
1551. #103C22×D79semidirect
1552. #103C22×D79semidirect
1568. #102C22×D79semidirect
1576. C22⋊C8C22×D79semidirect
1578. #97C22×D79semidirect
1779. D8D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190993652
C2×AGL(1,ℤ/8)×D792
#237770392
#237770302
#237750072
#237750062
#237750042
#237750032
#237750002
#237749982
#237749932
#237749322
#237749252
#237749242
#237748852
#237748822
#237748772
#237748742
#237738752
#237730342
#237730112
#237729072
#237729012
#237726742
#237726652
#237726432
#237726282
#237722492
#237720982
C79×#32672
#6105879