Finite Group Databasebeta

← #35163745

Subgroups — #35163745

Order 20224.

2878 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099369C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D79C211yesmaximal, characteristic, complemented
3#23777057C211yesmaximal, characteristic, complemented
4#23777028C211yesmaximal, characteristic, complemented
5#23775037C211yesmaximal, characteristic, complemented
6#23775035C211yesmaximal, characteristic, complemented
7#23775034C211yesmaximal, characteristic, complemented
8#23775032C211yesmaximal, characteristic, complemented
9#23775018C211yesmaximal, characteristic, complemented
10#23775016C211yesmaximal, characteristic, complemented
11#23775015C211yesmaximal, characteristic, complemented
12#23775013C211yesmaximal, characteristic, complemented
13#23774945C211yesmaximal, characteristic, complemented
14#23774942C211yesmaximal, characteristic, complemented
15#23774937C211yesmaximal, characteristic, complemented
16#23774934C211yesmaximal, characteristic, complemented
17#23774902C211yesmaximal, characteristic, complemented
18#23774895C211yesmaximal, characteristic, complemented
19#23774894C211yesmaximal, characteristic, complemented
20#23773884C211yesmaximal, characteristic, complemented
21#23773043C211yesmaximal, characteristic, complemented
22#23773004C211yesmaximal, characteristic, complemented
23#23772916C211yesmaximal, characteristic, complemented
24#23772901C211yesmaximal, characteristic, complemented
25#23772681C211yesmaximal, characteristic, complemented
26#23772663C211yesmaximal, characteristic, complemented
27#23772638C211yesmaximal, characteristic, complemented
28#23772628C211yesmaximal, characteristic, complemented
29#23772256C211yesmaximal, characteristic, complemented
30#23772098C211yesmaximal, characteristic, complemented
31C79×#3265C211yesmaximal, characteristic, complemented
32C2×#14579209C2211yescharacteristic, complemented
33C2×#14579206C2211yescharacteristic
34C2×#41×D79C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic
36#19099369—28no—
37C2×#14579192C2211yescharacteristic, complemented
38C2×#14579190C2211yescharacteristic, complemented
39C2×#14579190C2211yescharacteristic, complemented
40C2×#14579189C2211yescharacteristic, complemented
41C2×#14579188C2211yescharacteristic
42C2×#14579188C2211yescharacteristic, complemented
43C2×#14579188C2211yescharacteristic, complemented
44C2×#14579188C2211yescharacteristic, complemented
45C2×#14579188C2211yescharacteristic, complemented
46C2×#14579187C2211yescharacteristic, complemented
47C2×#14579187C2211yescharacteristic, complemented
48C2×#14579186C2211yescharacteristic, complemented
49C2×#14579185C2211yescharacteristic, complemented
50C2×#14579185C2211yescharacteristic, complemented
51C2×#14579185C2211yescharacteristic, complemented
52AGL(1,ℤ/8)×D79—28no—
53C2×#14579183C2211yescharacteristic, complemented
54C2×#14579182C2211yescharacteristic, complemented
55C2×#14579182C2211yescharacteristic, complemented
56C2×SD16×D79C2211yescharacteristic
57C2×SD16×D79C2211yescharacteristic, complemented
58C2×SD16×D79C2211yescharacteristic, complemented
59C2×D8×D79C2211yescharacteristic
60C2×D8×D79C2211yescharacteristic, complemented
61C2×#14579167C2211yescharacteristic, complemented
62C2×M16×D79C2211yescharacteristic, complemented
63#19099235C2211yescharacteristic, complemented
64#19099234—21no—
65#19099234C2211yescharacteristic, complemented
66#19099232C2211yescharacteristic, complemented
67#19099231—21no—
68#19099231C2211yescharacteristic, complemented
69#19099224C2211yescharacteristic, complemented
70#19099223—21no—
71#19099223C2211yescharacteristic, complemented
72#19099221—21no—
73#19099221C2211yescharacteristic, complemented
74#19099210C2211yescharacteristic, complemented
75#19099209C2211yescharacteristic, complemented
76#19099208C2211yescharacteristic, complemented
77#19099207C2211yescharacteristic, complemented
78#19099202—21no—
79#19099200—21no—
80#19099198C2211yescharacteristic, complemented
81#19099197C2211yescharacteristic, complemented
82D4×C22⋊D79—21no—
83D4×C22⋊D79C2211yescharacteristic, complemented
84#19099195—21no—
85#19099131—21no—
86#19099131C2211yescharacteristic, complemented
87#19099129—21no—
88#19099129C2211yescharacteristic
89#19099129C2211yescharacteristic, complemented
90#19099126C2211yescharacteristic
91#19099123—21no—
92#19099121—21no—
93#19099076—21no—
94#19099076C2211yescharacteristic, complemented
95#19099073C2211yescharacteristic
96#19099072—21no—
97#19099072C2211yescharacteristic
98C2×#14579129—21no—
99#120×D79—21no—
100#19099039C2211yescharacteristic, complemented
101#19099035C2211yescharacteristic
102#19098952C2211yescharacteristic, complemented
103#19098951C2211yescharacteristic, complemented
104#19098949C2211yescharacteristic, complemented
105#19098945C2211yescharacteristic, complemented
106#19098944C2211yescharacteristic, complemented
107#19098939C2211yescharacteristic, complemented
108#19098938C2211yescharacteristic, complemented
109#19098820C2211yescharacteristic, complemented
110#19098819C2211yescharacteristic, complemented
111#19098815C2211yescharacteristic, complemented
112#19098815C2211yescharacteristic, complemented
113#19098815C2211yescharacteristic, complemented
114#19098814C2211yescharacteristic, complemented
115#19098814C2211yescharacteristic, complemented
116#19098814C2211yescharacteristic, complemented
117#19098810C2211yescharacteristic, complemented
118#19098809C2211yescharacteristic, complemented
119#19098806C2211yescharacteristic, complemented
120#19098800C2211yescharacteristic, complemented
121#19098799C2211yescharacteristic, complemented
122#19098796C2211yescharacteristic, complemented
123#19098786C2211yescharacteristic, complemented
124#19098785C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098781C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098762C2211yescharacteristic, complemented
131#19098761C2211yescharacteristic, complemented
132#19098760C2211yescharacteristic, complemented
133#19098759C2211yescharacteristic, complemented
134#19098758C2211yescharacteristic, complemented
135#19098757C2211yescharacteristic, complemented
136#19098756C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098727C2211yescharacteristic, complemented
139#19098726C2211yescharacteristic, complemented
140#19098725C2211yescharacteristic, complemented
141#19098713C2211yescharacteristic, complemented
142#19098712C2211yescharacteristic, complemented
143#19098712C2211yescharacteristic, complemented
144#19098711C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098710C2211yescharacteristic, complemented
147#19098709C2211yescharacteristic, complemented
148#19098707C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098706C2211yescharacteristic, complemented
151#19098706C2211yescharacteristic, complemented
152#19098706C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic, complemented
154#19098705C2211yescharacteristic, complemented
155#19098703C2211yescharacteristic, complemented
156#19098702C2211yescharacteristic, complemented
157#19098700C2211yescharacteristic, complemented
158#19098699C2211yescharacteristic, complemented
159#19098698C2211yescharacteristic, complemented
160#19098698C2211yescharacteristic, complemented
161#19098698C2211yescharacteristic, complemented
162#19098697C2211yescharacteristic, complemented
163#19098697C2211yescharacteristic, complemented
164#19098695C2211yescharacteristic, complemented
165#19098665C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098654C2211yescharacteristic, complemented
169C4×#11929611C2211yescharacteristic, complemented
170C4×#11929612C2211yescharacteristic, complemented
171#19098648C2211yescharacteristic, complemented
172#19098641C2211yescharacteristic, complemented
173#19098640C2211yescharacteristic, complemented
174#19098638C2211yescharacteristic, complemented
175#19098638C2211yescharacteristic, complemented
176#19098636C2211yescharacteristic, complemented
177#19098634C2211yescharacteristic, complemented
178#19098632C2211yescharacteristic, complemented
179#19098600C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098570C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098558C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187#19098528C2211yescharacteristic, complemented
188#19098525C2211yescharacteristic, complemented
189#19098520C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
191C22×SD16×C79C2211yescharacteristic, complemented
192#548×C79C2211yescharacteristic, complemented
193D42×C79C2211yescharacteristic, complemented
194#496×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#466×C79C2211yescharacteristic, complemented
197#463×C79C2211yescharacteristic, complemented
198#460×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201#448×C79C2211yescharacteristic, complemented
202#447×C79C2211yescharacteristic, complemented
203#440×C79C2211yescharacteristic, complemented
204#435×C79C2211yescharacteristic, complemented
205C24×D79—21no—
206#14579209—24no—
207#14579209—42no—
208#14579206—24no—
209#14579206—42no—
210C2×#11929625—21no—
211C2×#11929625C2311yescharacteristic
212C2×#11929625C2311yescharacteristic
213C2×#11929625C2311yescharacteristic, complemented
214C2×#11929624—21no—
215C2×#11929624—21no—
216C2×#11929624—21no—
217C2×#11929624C2311yescharacteristic
218C2×#11929624C2311yescharacteristic
219C2×#11929624C2311yescharacteristic
220C2×#11929624C2311yescharacteristic, complemented
221C2×#11929623—21no—
222C2×#11929623—21no—
223C2×#11929623C2311yescharacteristic
224C2×#11929623C2311yescharacteristic
225C2×#11929623C2311yescharacteristic
226#41×D79—24no—
227#41×D79—42no—
228C2×Q8×D79—21no—
229C2×Q8×D79C2311yescharacteristic
230C2×Q8×D79C2311yescharacteristic, complemented
231C22×D316C2311yescharacteristic
232C22×C22⋊D79—21no—
233C22×C22⋊D79—21no—
234C22×C22⋊D79—21no—
235C22×C22⋊D79—21no—
236C2×D4×D79—24no—
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
250C22×C4×D79—21no—
251C22×C4×D79C2311yescharacteristic
252#14579192—24no—
253#14579190—24no—
254#14579190—24no—
255#14579189—24no—
256#14579188—24no—
257#14579188—24no—
258#14579188—24no—
259#14579188—24no—
260#14579188—42no—
261#14579187—24no—
262#14579187—24no—
263#14579186—24no—
264#14579185—24no—
265#14579185—24no—
266#14579185—42no—
267#14579183—24no—
268#14579182—24no—
269#14579182—24no—
270C2×Dic316C2311yescharacteristic, complemented
271C2×#11929614C2311yescharacteristic, complemented
272C2×#11929614C2311yescharacteristic, complemented
273C2×#11929613C2311yescharacteristic
274C2×#11929613C2311yescharacteristic
275C2×#11929613C2311yescharacteristic, complemented
276C2×#11929613C2311yescharacteristic, complemented
277C2×#11929612C2311yescharacteristic
278C2×#11929612C2311yescharacteristic
279C2×#11929612C2311yescharacteristic, complemented
280C2×#11929612C2311yescharacteristic, complemented
281C2×#11929611C2311yescharacteristic
282C2×#11929611C2311yescharacteristic
283C2×#11929611C2311yescharacteristic
284C2×#11929611C2311yescharacteristic
285SD16×D79—24no—
286SD16×D79—24no—
287SD16×D79D418yescomplemented
288C2×D632C2311yescharacteristic
289C2×D632C2311yescharacteristic
290C2×D632C2311yescharacteristic
291C2×D632C2311yescharacteristic
292C2×#11929609C2311yescharacteristic
293C2×#11929609C2311yescharacteristic
294C2×#11929609C2311yescharacteristic
295C2×#11929609C2311yescharacteristic
296C2×#11929609C2311yescharacteristic
297C2×#11929609C2311yescharacteristic
298C2×#11929609C2311yescharacteristic, complemented
299C2×#11929609C2311yescharacteristic, complemented
300D8×D79—24no—
301D8×D79—24no—
302#14579167—24no—
303C2×#11929608C2311yescharacteristic
304C2×#11929608C2311yescharacteristic, complemented
305C2×#11929607C2311yescharacteristic
306C2×#11929607C2311yescharacteristic
307C2×#11929607C2311yescharacteristic
308C2×#11929607C2311yescharacteristic
309C2×#11929607C2311yescharacteristic, complemented
310M16×D79—24no—
311C2×C8×D79C2311yescharacteristic
312C2×C8×D79C2311yescharacteristic
313C2×C8×D79C2311yescharacteristic, complemented
314#14579158—21no—
315#14579158C2311yescharacteristic, complemented
316#14579157—21no—
317#14579157—21no—
318#14579157—21no—
319#14579157—21no—
320#14579157—21no—
321#14579157C2311yescharacteristic
322#14579157C2311yescharacteristic, complemented
323#14579150—21no—
324#14579150C2311yescharacteristic, complemented
325#14579149C2311yescharacteristic
326#14579148C2311yescharacteristic
327#14579147—21no—
328#14579147—21no—
329#14579147—21no—
330#14579147—21no—
331#14579146—21no—
332#14579146—21no—
333#14579146D411yescharacteristic
334#14579145—21no—
335#14579143—21no—
336#14579143—21no—
337#14579143D411yescharacteristic
338#14579142—21no—
339#14579141C2311yescharacteristic
340#14579140C2311yescharacteristic
341#14579139—21no—
342#14579139D411yescharacteristic
343#14579138—21no—
344#14579138D411yescharacteristic
345#14579137—21no—
346#14579137C2311yescharacteristic
347#14579136—21no—
348#14579136—21no—
349#14579136C2311yescharacteristic
350#14579136C2311yescharacteristic
351#14579136C2311yescharacteristic, complemented
352#14579135—21no—
353#14579135—21no—
354#14579135—21no—
355#14579135C2311yescharacteristic
356#14579135C2311yescharacteristic
357#14579135C2311yescharacteristic, complemented
358#14579134—21no—
359#14579134—21no—
360#14579134—21no—
361#14579134—21no—
362#14579134—21no—
363#14579134—21no—
364#14579134—21no—
365#14579134—21no—
366#14579134—21no—
367#14579134D411yescharacteristic
368#14579133—21no—
369#14579133—21no—
370#14579133—21no—
371#14579133—21no—
372#14579133—21no—
373#14579133D411yescharacteristic
374#14579132—21no—
375#14579132—21no—
376#14579132—21no—
377#14579132C2311yescharacteristic
378#14579132C2311yescharacteristic
379#14579132C2311yescharacteristic, complemented
380#14579131—21no—
381#14579131—21no—
382#14579131—21no—
383#14579131—21no—
384#14579131—21no—
385#14579131—21no—
386#14579131—21no—
387#14579131D411yescharacteristic
388#14579130—21no—
389#14579130—21no—
390#14579129—21no—
391#14579129—21no—
392#14579129—21no—
393#14579129—21no—
394#14579129—21no—
395#14579129—21no—
396#14579129—21no—
397#14579129—21no—
398#14579129—21no—
399#14579129—21no—
400#14579129—21no—
401#14579129D411yescharacteristic
402Q8×Dic79C2311yescharacteristic, complemented
403C4×Dic158—21no—
404C4×Dic158C2311yescharacteristic, complemented
405#14579126—21no—
406#14579126C2311yescharacteristic, complemented
407C4×D316—21no—
408C4×D316C2311yescharacteristic
409C4×D316C2311yescharacteristic
410D4×Dic79—21no—
411D4×Dic79C2311yescharacteristic
412#14579123—21no—
413#14579123—21no—
414#14579123—21no—
415#14579123C2311yescharacteristic
416C4×C22⋊D79—21no—
417C4×C22⋊D79—21no—
418C4×C22⋊D79—21no—
419C4×C22⋊D79C2311yescharacteristic
420C4×C22⋊D79C2311yescharacteristic
421(C22⋊D79)⋊C4—21no—
422(C22⋊D79)⋊C4—21no—
423(C22⋊D79)⋊C4—21no—
424(C22⋊D79)⋊C4—21no—
425(C22⋊D79)⋊C4—21no—
426#14579119—21no—
427#14579119C2311yescharacteristic
428#14579119C2311yescharacteristic
429#14579118—21no—
430#14579118C2311yescharacteristic
431C2×C22⋊Dic79—21no—
432C2×(C2×D79)⋊C4—21no—
433C2×(C2×D79)⋊C4—21no—
434C22⋊C4×D79—21no—
435C22⋊C4×D79—21no—
436C22⋊C4×D79—21no—
437#14579095C2311yescharacteristic, 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#14579085C2311yescharacteristic, complemented
446#14579085C2311yescharacteristic, complemented
447#14579084C2311yescharacteristic, complemented
448#14579084C2311yescharacteristic, complemented
449#14579083C2311yescharacteristic
450#14579083C2311yescharacteristic
451#14579083C2311yescharacteristic, complemented
452#14579083C2311yescharacteristic, complemented
453#14579082C2311yescharacteristic
454#14579082C2311yescharacteristic
455#14579082C2311yescharacteristic, complemented
456#14579082C2311yescharacteristic, complemented
457#14579081C2311yescharacteristic
458#14579081C2311yescharacteristic
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
471C22×Q8×C79C2311yescharacteristic, complemented
472C22×D4×C79—21no—
473C22×D4×C79C2311yescharacteristic
474C22×D4×C79C2311yescharacteristic
475AGL(1,ℤ/8)×C79—24no—
476C2×SD16×C79—24no—
477C2×SD16×C79C2311yescharacteristic
478C2×SD16×C79C2311yescharacteristic
479C2×SD16×C79C2311yescharacteristic
480C2×SD16×C79C2311yescharacteristic
481C2×SD16×C79C2311yescharacteristic, complemented
482C2×SD16×C79C2311yescharacteristic, complemented
483C2×D8×C79C2311yescharacteristic
484C2×D8×C79C2311yescharacteristic
485C2×D8×C79C2311yescharacteristic, complemented
486C2×M16×C79C2311yescharacteristic
487C22×C8×C79C2311yescharacteristic, complemented
488#127×C79C2311yescharacteristic
489#124×C79—21no—
490#124×C79C2311yescharacteristic, complemented
491C22⋊Q8×C79—21no—
492C22⋊Q8×C79C2311yescharacteristic
493#121×C79—21no—
494#121×C79—21no—
495#121×C79C2311yescharacteristic
496#121×C79C2311yescharacteristic
497#121×C79C2311yescharacteristic, complemented
498#120×C79—21no—
499#120×C79—21no—
500C4×Q8×C79C2311yescharacteristic, complemented
501C4×D4×C79—21no—
502C4×D4×C79C2311yescharacteristic
503C4×D4×C79C2311yescharacteristic
504#107×C79C2311yescharacteristic, complemented
505C4⋊C8×C79C2311yescharacteristic, complemented
506#103×C79C2311yescharacteristic, complemented
507#103×C79C2311yescharacteristic, complemented
508#102×C79C2311yescharacteristic
509#102×C79C2311yescharacteristic
510#102×C79C2311yescharacteristic, complemented
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—44no—
523C23×D79—82no—
524C23×D79—82no—
525C23×D79C2×D411yescharacteristic
526#11929625—22no—
527#11929625—22no—
528#11929625—22no—
529#11929625—22no—
530#11929625—41no—
531#11929625—41no—
532#11929625—44no—
533#11929624—22no—
534#11929624—22no—
535#11929624—22no—
536#11929624—22no—
537#11929624—22no—
538#11929624—44no—
539#11929624—44no—
540#11929624—41no—
541#11929624—41no—
542#11929624—41no—
543#11929624—44no—
544#11929623—22no—
545#11929623—22no—
546#11929623—22no—
547#11929623—22no—
548#11929623—44no—
549#11929623—41no—
550#11929623—41no—
551#11929623—44no—
552C2×Dic158—21no—
553C2×Dic158—21no—
554C2×Dic158C2×D411yescharacteristic
555C2×Dic158C2411yescharacteristic
556C2×Dic158C2411yescharacteristic
557Q8×D79—22no—
558Q8×D79—22no—
559Q8×D79—41no—
560Q8×D79—44no—
561Q8×D79C2×D414yescomplemented
562C2×D316—21no—
563C2×D316—21no—
564C2×D316—21no—
565C2×D316—21no—
566C2×D316—21no—
567C2×D316—21no—
568C2×D316—22no—
569C2×D316—21no—
570C2×D316—21no—
571C2×D316—21no—
572C2×D316—41no—
573C2×D316C2×D411yescharacteristic
574C2×D316C2×D411yescharacteristic
575C2×D316C2411yescharacteristic
576C2×D316C2411yescharacteristic
577C2×D316C2411yescharacteristic
578C2×D316C2411yescharacteristic
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—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—21no—
599C2×C22⋊D79—21no—
600C2×C22⋊D79—21no—
601C2×C22⋊D79—44no—
602C2×C22⋊D79—44no—
603C2×C22⋊D79—44no—
604C2×C22⋊D79—82no—
605C2×C22⋊D79C2×D411yescharacteristic
606C2×C22⋊D79C2×D411yescharacteristic
607C2×C22⋊D79C2×D411yescharacteristic
608C2×C22⋊D79C2×D411yescharacteristic
609D4×D79—22no—
610D4×D79—22no—
611D4×D79—22no—
612D4×D79—22no—
613D4×D79—22no—
614D4×D79—22no—
615D4×D79—22no—
616D4×D79—22no—
617D4×D79—44no—
618D4×D79—41no—
619D4×D79—41no—
620D4×D79—41no—
621D4×D79—44no—
622D4×D79—44no—
623D4×D79—44no—
624D4×D79—82no—
625D4×D79—82no—
626D4×D79C2×D414yes—
627C22×Dic79—21no—
628C22×Dic79—21no—
629C22×Dic79—21no—
630C22×Dic79—21no—
631C22×Dic79C2×D411yescharacteristic
632C2×C4×D79—22no—
633C2×C4×D79—22no—
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
650Dic316—22no—
651#11929614—22no—
652#11929614—22no—
653#11929613—22no—
654#11929613—22no—
655#11929613—41no—
656#11929613C2×D414yescomplemented
657#11929612—22no—
658#11929612—22no—
659#11929612—41no—
660#11929612C2×D414yescomplemented
661#11929611—22no—
662#11929611—22no—
663#11929611—41no—
664#11929611C2×D414yescomplemented
665D632—22no—
666D632—22no—
667D632—22no—
668D632—41no—
669#11929609—22no—
670#11929609—22no—
671#11929609—22no—
672#11929609—22no—
673#11929609—22no—
674#11929609—22no—
675#11929609—41no—
676#11929609—41no—
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⋊Dic79—21no—
693C4⋊Dic79C2×D411yescharacteristic
694C4⋊Dic79C2411yescharacteristic
695C4⋊Dic79C2411yescharacteristic
696Dic79⋊C4—21no—
697Dic79⋊C4—21no—
698Dic79⋊C4—21no—
699Dic79⋊C4—21no—
700Dic79⋊C4C2×D411yescharacteristic
701Dic79⋊C4C2×D411yescharacteristic
702Dic79⋊C4C2×D411yescharacteristic
703Dic79⋊C4C2×D411yescharacteristic
704C22⋊Dic79—21no—
705C22⋊Dic79—21no—
706C22⋊Dic79—21no—
707C22⋊Dic79—21no—
708C22⋊Dic79—21no—
709C22⋊Dic79—21no—
710C22⋊Dic79—21no—
711C22⋊Dic79C2×D411yescharacteristic
712C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
730(C2×D79)⋊C4C2×D411yescharacteristic
731(C2×D79)⋊C4C2×D411yescharacteristic
732(C2×D79)⋊C4C2×D411yescharacteristic
733(C2×D79)⋊C4C2×D411yescharacteristic
734(C2×D79)⋊C4C2×D411yescharacteristic
735C4×Dic79—21no—
736C4×Dic79—21no—
737C4×Dic79—21no—
738C4×Dic79—21no—
739C4×Dic79—21no—
740C4×Dic79C2411yescharacteristic
741C24×C79—21no—
742C24×C79—21no—
743#41×C79—22no—
744#41×C79—41no—
745C2×Q8×C79—21no—
746C2×Q8×C79—22no—
747C2×Q8×C79—41no—
748C2×Q8×C79C2411yescharacteristic
749C2×Q8×C79C2411yescharacteristic
750C2×D4×C79—22no—
751C2×D4×C79—22no—
752C2×D4×C79—21no—
753C2×D4×C79—21no—
754C2×D4×C79—21no—
755C2×D4×C79—21no—
756C2×D4×C79—21no—
757C2×D4×C79—21no—
758C2×D4×C79—21no—
759C2×D4×C79—21no—
760C2×D4×C79—41no—
761C2×D4×C79—41no—
762C2×D4×C79—82no—
763C2×D4×C79C2×D411yescharacteristic
764C2×D4×C79C2411yescharacteristic
765C2×D4×C79C2411yescharacteristic
766C2×D4×C79C2411yescharacteristic
767C2×D4×C79C2411yescharacteristic
768C22×C4×C79—21no—
769C22×C4×C79—21no—
770C22×C4×C79—21no—
771C22×C4×C79C2411yescharacteristic
772C22×C4×C79C2411yescharacteristic
773SD16×C79—22no—
774SD16×C79—22no—
775SD16×C79—22no—
776SD16×C79—22no—
777SD16×C79—41no—
778SD16×C79C2×D414yescomplemented
779D8×C79—22no—
780D8×C79—22no—
781D8×C79—41no—
782M16×C79—22no—
783C2×C8×C79—22no—
784C2×C8×C79C2411yescharacteristic
785C2×C8×C79C2411yescharacteristic
786C2×C8×C79C2411yescharacteristic
787C2×C8×C79C2411yescharacteristic
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×C79C2×D411yescharacteristic
801C22⋊C4×C79C2×D411yescharacteristic
802C42×C79—21no—
803C42×C79C2411yescharacteristic
804C23×C79—21no—
805C23×C79—21no—
806C23×C79—21no—
807C23×C79—21no—
808C23×C79—42no—
809C23×C79—42no—
810C23×C79—42no—
811C23×C79—81no—
812C23×C79—81no—
813C23×C79—81no—
814C23×C79C22×D411yescharacteristic
815C23×C79C22×D411yescharacteristic
816C22×D79—21no—
817C22×D79—22no—
818C22×D79—24no—
819C22×D79—21no—
820C22×D79—21no—
821C22×D79—21no—
822C22×D79—41no—
823C22×D79—41no—
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—816no—
845C22×D79C22×D411yescharacteristic
846C22×D79C22×D411yescharacteristic
847C22×D79C22×D411yescharacteristic
848Q8×C79—21no—
849Q8×C79—21no—
850Q8×C79—21no—
851Q8×C79—42no—
852Q8×C79C22×D412yes—
853D4×C79—21no—
854D4×C79—21no—
855D4×C79—21no—
856D4×C79—21no—
857D4×C79—21no—
858D4×C79—21no—
859D4×C79—21no—
860D4×C79—41no—
861D4×C79—42no—
862D4×C79—42no—
863D4×C79—42no—
864D4×C79—42no—
865D4×C79—81no—
866D4×C79—81no—
867D4×C79—81no—
868D4×C79—81no—
869D4×C79C22×D412yes—
870C2×C4×C79—21no—
871C2×C4×C79—21no—
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—42no—
879C2×C4×C79—42no—
880C2×C4×C79—81no—
881C2×C4×C79C22×D411yescharacteristic
882C2×C4×C79C22×D411yescharacteristic
883C2×C4×C79C22×D411yescharacteristic
884C2×C4×C79C22×D411yescharacteristic
885C2×C4×C79C2511yescharacteristic
886C22⋊D79—22no—
887C22⋊D79—24no—
888C22⋊D79—22no—
889C22⋊D79—41no—
890C22⋊D79—41no—
891C22⋊D79—42no—
892C22⋊D79—42no—
893C22⋊D79—42no—
894C22⋊D79—42no—
895C22⋊D79—42no—
896C22⋊D79—42no—
897C22⋊D79—42no—
898C22⋊D79—42no—
899C22⋊D79—42no—
900C22⋊D79—42no—
901C22⋊D79—42no—
902C22⋊D79—42no—
903C22⋊D79—81no—
904C22⋊D79—81no—
905C22⋊D79—81no—
906C22⋊D79—81no—
907C22⋊D79—81no—
908C22⋊D79—81no—
909C22⋊D79—81no—
910C22⋊D79—81no—
911C22⋊D79—81no—
912C2×Dic79—21no—
913C2×Dic79—22no—
914C2×Dic79—21no—
915C2×Dic79—21no—
916C2×Dic79—21no—
917C2×Dic79—42no—
918C2×Dic79—42no—
919C2×Dic79—42no—
920C2×Dic79—81no—
921C2×Dic79C22×D411yescharacteristic
922C2×Dic79C22×D411yescharacteristic
923C2×Dic79C22×D411yescharacteristic
924C2×Dic79C22×D411yescharacteristic
925C2×Dic79C22×D411yescharacteristic
926D316—22no—
927D316—21no—
928D316—21no—
929D316—21no—
930D316—21no—
931D316—21no—
932D316—21no—
933D316—21no—
934D316—41no—
935D316—42no—
936D316—42no—
937D316—42no—
938D316—42no—
939D316—81no—
940D316—81no—
941D316—81no—
942D316—81no—
943D316—81no—
944D316C22×D412yes—
945C4×D79—22no—
946C4×D79—24no—
947C4×D79—21no—
948C4×D79—21no—
949C4×D79—21no—
950C4×D79—21no—
951C4×D79—22no—
952C4×D79—42no—
953C4×D79—42no—
954C4×D79—42no—
955C4×D79—42no—
956C4×D79—42no—
957C4×D79—42no—
958C4×D79—42no—
959C4×D79—81no—
960C4×D79—81no—
961C4×D79C22×D412yes—
962C4×D79H(5,𝔽2)12yes—
963Dic158—21no—
964Dic158—24no—
965Dic158—22no—
966Dic158—21no—
967Dic158—21no—
968Dic158—42no—
969Dic158C22×D412yes—
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—21no—
985C22×C79—41no—
986C22×C79—41no—
987C22×C79—41no—
988C22×C79—41no—
989C22×C79—41no—
990C22×C79—41no—
991C22×C79—41no—
992C22×C79—41no—
993C22×C79—41no—
994C22×C79—41no—
995C22×C79—41no—
996C22×C79—84no—
997C22×C79—162no—
998C22×C79C23×D411yescharacteristic
999C2×D79—21no—
1000C2×D79—21no—
1001C2×D79—21no—
1002C2×D79—21no—
1003C2×D79—21no—
1004C2×D79—21no—
1005C2×D79—22no—
1006C2×D79—21no—
1007C2×D79—21no—
1008C2×D79—44no—
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—41no—
1020C2×D79—84no—
1021C2×D79—84no—
1022C2×D79—84no—
1023C2×D79—84no—
1024C2×D79—84no—
1025C2×D79—84no—
1026C2×D79—162no—
1027C2×D79D4212yes—
1028C4×C79—21no—
1029C4×C79—21no—
1030C4×C79—21no—
1031C4×C79—21no—
1032C4×C79—22no—
1033C4×C79—41no—
1034C4×C79—41no—
1035C4×C79—41no—
1036C4×C79C23×D411yescharacteristic
1037C4×C79C2×H(5,𝔽2)11yescharacteristic
1038Dic79—21no—
1039Dic79—21no—
1040Dic79—21no—
1041Dic79—21no—
1042Dic79—22no—
1043Dic79—41no—
1044Dic79—41no—
1045Dic79—41no—
1046Dic79D4212yes—
1047#61059—791nomaximal, Sylow
1048C2×C79—41no—
1049C2×C79—42no—
1050C2×C79—41no—
1051C2×C79—81no—
1052C2×C79—81no—
1053C2×C79—81no—
1054C2×C79C2×D4211yescharacteristic
1055C2×C79#358511yescharacteristic
1056C2×C79#358511yescharacteristic
1057D79—22no—
1058D79—41no—
1059D79—41no—
1060D79—42no—
1061D79—81no—
1062D79—81no—
1063D79—81no—
1064C2×#577—791no—
1065C22×AGL(1,ℤ/8)—791no—
1066#3487—791no—
1067#3484—791no—
1068#3275—791no—
1069#3275—791no—
1070#3275—791no—
1071#3275—791no—
1072#3274—791no—
1073#3274—791no—
1074#3274—791no—
1075#3274—791no—
1076#3268—791no—
1077#3268—791no—
1078#3268—791no—
1079#3268—791no—
1080#3265—791no—
1081#3265—791no—
1082#3265—791no—
1083#3265D7911yescharacteristic, complemented
1084#3155—791no—
1085#3058—791no—
1086#3054—791no—
1087#3043—791no—
1088#3041—791no—
1089#3010—791no—
1090#3008—791no—
1091#3005—791no—
1092#3003—791no—
1093#2949—791no—
1094#2930—791no—
1095C79#6105911yescharacteristic, complemented, Sylow
1096C2×2−1+4—791no—
1097C2×H(5,𝔽2)—791no—
1098C22×#41—791no—
1099C23×D4—791no—
1100#577—1588no—
1101C2×#137—791no—
1102C2×#137—791no—
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)—1588no—
1117C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
1118C2×#135—791no—
1119C2×#135—791no—
1120C2×#135—791no—
1121C22×SD16—791no—
1122C22×SD16—791no—
1123C22×SD16—791no—
1124C22×SD16C2×D7911yescharacteristic, complemented
1125C22×D8—791no—
1126C22×D8—791no—
1127C2×#131—791no—
1128C22×M16—791no—
1129#550—791no—
1130#550—791no—
1131#550—791no—
1132#550—791no—
1133#550—1581no—
1134#550—1581no—
1135#548—791no—
1136#548—791no—
1137#548—791no—
1138#548—1581no—
1139#548—1581no—
1140#548C2×D7911yescharacteristic, complemented
1141#546—791no—
1142#546—791no—
1143#546—791no—
1144#546—791no—
1145#546—1581no—
1146#546—1581no—
1147D42—791no—
1148D42—791no—
1149D42—791no—
1150D42—1581no—
1151D42—1581no—
1152D42C2×D7911yescharacteristic, complemented
1153#535—791no—
1154#535—791no—
1155#535—791no—
1156#535—791no—
1157#535—1581no—
1158#535—1581no—
1159#534—1581no—
1160#534—1581no—
1161#525—791no—
1162#525—791no—
1163#525—791no—
1164#525—1581no—
1165#525—1581no—
1166C2×#120—1581no—
1167C2×#120—1581no—
1168#519—791no—
1169#518—791no—
1170#496—791no—
1171#496—791no—
1172#496—791no—
1173#496C2×D7911yescharacteristic, complemented
1174#495—791no—
1175#495—791no—
1176#493—791no—
1177#493—791no—
1178#470—791no—
1179#470—791no—
1180#469—791no—
1181#469—791no—
1182#469—791no—
1183#469—791no—
1184#469—791no—
1185#469—791no—
1186#468—791no—
1187#468—791no—
1188#468—791no—
1189#468C2×D7911yescharacteristic, complemented
1190#466—791no—
1191#466—791no—
1192#466—791no—
1193#466C2×D7911yescharacteristic, complemented
1194#464—791no—
1195#464—791no—
1196#464—791no—
1197#464—791no—
1198#463—791no—
1199#463—791no—
1200#463—791no—
1201#463C2×D7911yescharacteristic, complemented
1202#460—791no—
1203#460—791no—
1204#460—791no—
1205#460C2×D7911yescharacteristic, complemented
1206#459—791no—
1207#459—791no—
1208#459—791no—
1209#459—791no—
1210#452—791no—
1211#452—791no—
1212#452—791no—
1213#452—791no—
1214#450—791no—
1215#450—791no—
1216#450—791no—
1217#450C2×D7911yescharacteristic, complemented
1218#449—791no—
1219#449—791no—
1220#449—791no—
1221#449—791no—
1222#449—791no—
1223#449—791no—
1224#449—791no—
1225#449—791no—
1226#449—791no—
1227#449—791no—
1228#449—791no—
1229#449C2×D7911yescharacteristic, complemented
1230#448—791no—
1231#448—791no—
1232#448—791no—
1233#448C2×D7911yescharacteristic, complemented
1234#447—791no—
1235#447—791no—
1236#447—791no—
1237#447—791no—
1238#447—791no—
1239#447—791no—
1240#447—791no—
1241#447C2×D7911yescharacteristic, complemented
1242#440—791no—
1243#440—791no—
1244#440—791no—
1245#440C2×D7911yescharacteristic, complemented
1246C4×SD16—791no—
1247C4×SD16—791no—
1248C4×SD16—791no—
1249C4×SD16—791no—
1250#436—791no—
1251#436—791no—
1252#436—791no—
1253#436—791no—
1254#435—791no—
1255#435—791no—
1256#435—791no—
1257#435C2×D7911yescharacteristic, complemented
1258#427—791no—
1259#424—791no—
1260#419—791no—
1261#418—791no—
1262#418—791no—
1263#418—791no—
1264#416—791no—
1265#416—791no—
1266#408—791no—
1267#407—791no—
1268#405—791no—
1269C25—1581no—
12702−1+4—3162no—
12712−1+4—1584no—
1272H(5,𝔽2)—3162no—
1273H(5,𝔽2)—1584no—
1274C2×#41—3162no—
1275C2×#41—791no—
1276C2×#41—791no—
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×#41—1581no—
1291C2×#41—1581no—
1292C2×#41C22×D7911yescharacteristic
1293C22×Q8—791no—
1294C22×Q8—791no—
1295C22×Q8—1581no—
1296C22×Q8C22×D7911yescharacteristic, complemented
1297C22×D4—21no—
1298C22×D4—3162no—
1299C22×D4—791no—
1300C22×D4—791no—
1301C22×D4—791no—
1302C22×D4—791no—
1303C22×D4—791no—
1304C22×D4—791no—
1305C22×D4—791no—
1306C22×D4—1581no—
1307C22×D4—1581no—
1308C22×D4—1581no—
1309C22×D4—1581no—
1310C22×D4—1581no—
1311C22×D4—1584no—
1312C22×D4—1581no—
1313C22×D4—1581no—
1314C22×D4—1581no—
1315C22×D4—1581no—
1316C22×D4—1581no—
1317C22×D4C22×D7911yescharacteristic
1318C22×D4C22×D7911yescharacteristic
1319C23×C4—791no—
1320C23×C4—1581no—
1321#137—1584no—
1322#137—1584no—
1323#137—1584no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—3162no—
1326AGL(1,ℤ/8)—3162no—
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—
1337#135—1584no—
1338#135—1584no—
1339#135—1584no—
1340C2×Q16—791no—
1341C2×Q16—791no—
1342C2×Q16—791no—
1343C2×SD16—24no—
1344C2×SD16—791no—
1345C2×SD16—791no—
1346C2×SD16—791no—
1347C2×SD16—791no—
1348C2×SD16—798no—
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—1584no—
1358C2×SD16—1584no—
1359C2×SD16C22×D7911yescharacteristic
1360C2×SD16C22×D7911yescharacteristic
1361C2×SD16C22×D7911yescharacteristic
1362C2×SD16C22×D7911yescharacteristic
1363C2×SD16C22×D7911yescharacteristic, complemented
1364C2×SD16C22×D7911yescharacteristic, complemented
1365C2×D8—791no—
1366C2×D8—791no—
1367C2×D8—791no—
1368C2×D8—791no—
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—1584no—
1378C2×D8—1584no—
1379C2×D8C22×D7911yescharacteristic
1380C2×D8C22×D7911yescharacteristic
1381C2×D8C22×D7911yescharacteristic, complemented
1382#131—1584no—
1383C2×M16—791no—
1384C2×M16—791no—
1385C2×M16—791no—
1386C2×M16—791no—
1387C2×M16—791no—
1388C2×M16—791no—
1389C2×M16—791no—
1390C2×M16—1584no—
1391C2×M16C22×D7911yescharacteristic
1392C22×C8—791no—
1393C22×C8—791no—
1394C22×C8—791no—
1395C22×C8C22×D7911yescharacteristic, complemented
1396#127—791no—
1397#127—791no—
1398#127—791no—
1399#127—1581no—
1400#127—1581no—
1401#127—1581no—
1402#127—1581no—
1403#127—1581no—
1404#127—1581no—
1405#127C22×D7911yescharacteristic
1406#124—21no—
1407#124—791no—
1408#124—791no—
1409#124—791no—
1410#124—1581no—
1411#124—1581no—
1412#124—1581no—
1413#124—1581no—
1414#124—1581no—
1415#124C22×D7911yescharacteristic, complemented
1416#123—791no—
1417#123—791no—
1418#123—1581no—
1419#123—1581no—
1420#123—1581no—
1421#123—1581no—
1422#123—1581no—
1423#123—1581no—
1424C22⋊Q8—21no—
1425C22⋊Q8—791no—
1426C22⋊Q8—791no—
1427C22⋊Q8—791no—
1428C22⋊Q8—791no—
1429C22⋊Q8—791no—
1430C22⋊Q8—1581no—
1431C22⋊Q8—1581no—
1432C22⋊Q8—1581no—
1433C22⋊Q8C22×D7911yescharacteristic
1434#121—21no—
1435#121—21no—
1436#121—791no—
1437#121—791no—
1438#121—791no—
1439#121—791no—
1440#121—791no—
1441#121—791no—
1442#121—791no—
1443#121—791no—
1444#121—791no—
1445#121—791no—
1446#121—791no—
1447#121—1581no—
1448#121—1581no—
1449#121—1581no—
1450#121—1581no—
1451#121—1581no—
1452#121—1581no—
1453#121—1581no—
1454#121—1581no—
1455#121—1581no—
1456#121—1581no—
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#121C22×D7911yescharacteristic
1470#121C22×D7911yescharacteristic
1471#121C22×D7911yescharacteristic, complemented
1472#120—21no—
1473#120—21no—
1474#120—791no—
1475#120—791no—
1476#120—1581no—
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—
1496C4×Q8—791no—
1497C4×Q8—791no—
1498C4×Q8—791no—
1499C4×Q8—1581no—
1500C4×Q8—1581no—
1501C4×Q8C22×D7911yescharacteristic, complemented
1502C4×D4—21no—
1503C4×D4—791no—
1504C4×D4—791no—
1505C4×D4—791no—
1506C4×D4—791no—
1507C4×D4—791no—
1508C4×D4—791no—
1509C4×D4—1581no—
1510C4×D4—1581no—
1511C4×D4—1581no—
1512C4×D4—1581no—
1513C4×D4—1581no—
1514C4×D4—1581no—
1515C4×D4—1581no—
1516C4×D4—1581no—
1517C4×D4—1581no—
1518C4×D4—1581no—
1519C4×D4—1581no—
1520C4×D4—1581no—
1521C4×D4—1581no—
1522C4×D4C22×D7911yescharacteristic
1523C4×D4C22×D7911yescharacteristic
1524#117—791no—
1525#117—791no—
1526#117—791no—
1527#117—1581no—
1528#117—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—
1535#107—791no—
1536#107C22×D7911yescharacteristic, complemented
1537#106—791no—
1538#106—791no—
1539C4⋊C8—791no—
1540C4⋊C8—791no—
1541C4⋊C8—791no—
1542C4⋊C8C22×D7911yescharacteristic, complemented
1543#103—791no—
1544#103—791no—
1545#103—791no—
1546#103—791no—
1547#103—791no—
1548#103—791no—
1549#103C22×D7911yescharacteristic, complemented
1550#103C22×D7911yescharacteristic, complemented
1551#102—791no—
1552#102—791no—
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#102C22×D7911yescharacteristic
1564#102C22×D7911yescharacteristic
1565#102C22×D7911yescharacteristic, complemented
1566#102C22×D7911yescharacteristic, complemented
1567C22⋊C8—791no—
1568C22⋊C8—791no—
1569C22⋊C8—791no—
1570C22⋊C8—791no—
1571C22⋊C8—791no—
1572C22⋊C8—791no—
1573C22⋊C8C22×D7911yescharacteristic
1574C22⋊C8C22×D7911yescharacteristic, complemented
1575#97—791no—
1576#97C22×D7911yescharacteristic, complemented
1577C4×C8—791no—
1578C4×C8—791no—
1579C24—21no—
1580C24—21no—
1581C24—3164no—
1582C24—791no—
1583C24—6322no—
1584C24—6322no—
1585C24—1581no—
1586C24—1581no—
1587C24—1581no—
1588C24—1581no—
1589C24—1581no—
1590C24—1581no—
1591C24—1581no—
1592#41—22no—
1593#41—41no—
1594#41—3161no—
1595#41—3161no—
1596#41—3161no—
1597#41—3164no—
1598#41—3164no—
1599#41—3164no—
1600#41—3164no—
1601#41—3161no—
1602#41—3161no—
1603#41—3164no—
1604#41—3161no—
1605#41—3161no—
1606#41—3164no—
1607#41—1582no—
1608#41—1582no—
1609#41—1582no—
1610#41—1582no—
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—
1620C2×Q8—21no—
1621C2×Q8—22no—
1622C2×Q8—41no—
1623C2×Q8—3164no—
1624C2×Q8—3161no—
1625C2×Q8—791no—
1626C2×Q8—794no—
1627C2×Q8—791no—
1628C2×Q8—791no—
1629C2×Q8—1581no—
1630C2×Q8—1581no—
1631C2×Q8—1582no—
1632C2×Q8—1582no—
1633C2×Q8C23×D7911yescharacteristic
1634C2×Q8C23×D7911yescharacteristic
1635C2×D4—22no—
1636C2×D4—22no—
1637C2×D4—21no—
1638C2×D4—21no—
1639C2×D4—21no—
1640C2×D4—21no—
1641C2×D4—21no—
1642C2×D4—21no—
1643C2×D4—21no—
1644C2×D4—21no—
1645C2×D4—41no—
1646C2×D4—41no—
1647C2×D4—82no—
1648C2×D4—3161no—
1649C2×D4—3164no—
1650C2×D4—3164no—
1651C2×D4—3164no—
1652C2×D4—3161no—
1653C2×D4—3161no—
1654C2×D4—3161no—
1655C2×D4—3164no—
1656C2×D4—3164no—
1657C2×D4—3164no—
1658C2×D4—3164no—
1659C2×D4—791no—
1660C2×D4—791no—
1661C2×D4—794no—
1662C2×D4—791no—
1663C2×D4—791no—
1664C2×D4—791no—
1665C2×D4—791no—
1666C2×D4—791no—
1667C2×D4—791no—
1668C2×D4—791no—
1669C2×D4—791no—
1670C2×D4—6322no—
1671C2×D4—6322no—
1672C2×D4—6322no—
1673C2×D4—1581no—
1674C2×D4—1581no—
1675C2×D4—1581no—
1676C2×D4—1582no—
1677C2×D4—1581no—
1678C2×D4—1581no—
1679C2×D4—1581no—
1680C2×D4—1582no—
1681C2×D4—1582no—
1682C2×D4—1582no—
1683C2×D4—1582no—
1684C2×D4—1582no—
1685C2×D4—1581no—
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—1582no—
1697C2×D4—1581no—
1698C2×D4—1581no—
1699C2×D4—1581no—
1700C2×D4—1581no—
1701C2×D4—1581no—
1702C2×D4—1581no—
1703C2×D4—1581no—
1704C2×D4—1582no—
1705C2×D4—1581no—
1706C2×D4—1581no—
1707C2×D4—1581no—
1708C2×D4—1581no—
1709C2×D4—1581no—
1710C2×D4—1581no—
1711C2×D4—1581no—
1712C2×D4—1581no—
1713C2×D4D4×D7911yescharacteristic
1714C2×D4C23×D7911yescharacteristic
1715C2×D4C23×D7911yescharacteristic
1716C2×D4C23×D7911yescharacteristic
1717C2×D4C23×D7911yescharacteristic
1718C22×C4—21no—
1719C22×C4—21no—
1720C22×C4—21no—
1721C22×C4—3164no—
1722C22×C4—791no—
1723C22×C4—791no—
1724C22×C4—791no—
1725C22×C4—791no—
1726C22×C4—791no—
1727C22×C4—791no—
1728C22×C4—1581no—
1729C22×C4—1581no—
1730C22×C4—1581no—
1731C22×C4—1581no—
1732C22×C4—1581no—
1733C22×C4—1582no—
1734C22×C4—1582no—
1735C22×C4—1581no—
1736C22×C4—1581no—
1737C22×C4—1581no—
1738C22×C4—1581no—
1739C22×C4—1581no—
1740C22×C4—1581no—
1741C22×C4—1581no—
1742C22×C4—1581no—
1743C22×C4—1581no—
1744C22×C4C23×D7911yescharacteristic
1745C22×C4C23×D7911yescharacteristic
1746Q16—1582no—
1747Q16—1582no—
1748Q16—1582no—
1749SD16—22no—
1750SD16—22no—
1751SD16—22no—
1752SD16—22no—
1753SD16—41no—
1754SD16—3161no—
1755SD16—3161no—
1756SD16—3161no—
1757SD16—794no—
1758SD16—794no—
1759SD16—794no—
1760SD16—1582no—
1761SD16—1582no—
1762SD16—1582no—
1763SD16—1582no—
1764SD16—1582no—
1765SD16—1582no—
1766SD16D4×D7914yescomplemented
1767D8—22no—
1768D8—22no—
1769D8—41no—
1770D8—3161no—
1771D8—3161no—
1772D8—3161no—
1773D8—1582no—
1774D8—1582no—
1775D8—1582no—
1776D8—1582no—
1777D8—1582no—
1778D8—1582no—
1779D8—1582no—
1780D8—1582no—
1781D8—1582no—
1782M16—22no—
1783M16—1582no—
1784M16—1582no—
1785M16—1582no—
1786M16—1582no—
1787M16—1582no—
1788M16—1582no—
1789M16—1582no—
1790C2×C8—22no—
1791C2×C8—791no—
1792C2×C8—794no—
1793C2×C8—791no—
1794C2×C8—791no—
1795C2×C8—791no—
1796C2×C8—1582no—
1797C2×C8—1582no—
1798C2×C8C23×D7911yescharacteristic
1799C2×C8C23×D7911yescharacteristic
1800C2×C8C23×D7911yescharacteristic
1801C2×C8C23×D7911yescharacteristic
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—791no—
1805C4⋊C4—791no—
1806C4⋊C4—791no—
1807C4⋊C4—791no—
1808C4⋊C4—791no—
1809C4⋊C4—791no—
1810C4⋊C4—791no—
1811C4⋊C4—1581no—
1812C4⋊C4—1581no—
1813C4⋊C4—1581no—
1814C4⋊C4—1581no—
1815C4⋊C4—1581no—
1816C4⋊C4—1581no—
1817C4⋊C4D4×D7911yescharacteristic
1818C4⋊C4C23×D7911yescharacteristic
1819C4⋊C4C23×D7911yescharacteristic
1820C22⋊C4—21no—
1821C22⋊C4—21no—
1822C22⋊C4—21no—
1823C22⋊C4—21no—
1824C22⋊C4—21no—
1825C22⋊C4—21no—
1826C22⋊C4—21no—
1827C22⋊C4—791no—
1828C22⋊C4—791no—
1829C22⋊C4—791no—
1830C22⋊C4—791no—
1831C22⋊C4—791no—
1832C22⋊C4—791no—
1833C22⋊C4—791no—
1834C22⋊C4—791no—
1835C22⋊C4—1581no—
1836C22⋊C4—1581no—
1837C22⋊C4—1581no—
1838C22⋊C4—1581no—
1839C22⋊C4—1581no—
1840C22⋊C4—1581no—
1841C22⋊C4—1581no—
1842C22⋊C4—1581no—
1843C22⋊C4—1581no—
1844C22⋊C4—1581no—
1845C22⋊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⋊C4D4×D7911yescharacteristic
1859C22⋊C4D4×D7911yescharacteristic
1860C42—21no—
1861C42—791no—
1862C42—1581no—
1863C42—1581no—
1864C42—1581no—
1865C42—1581no—
1866C42—1581no—
1867C42C23×D7911yescharacteristic
1868C23—21no—
1869C23—21no—
1870C23—21no—
1871C23—21no—
1872C23—42no—
1873C23—42no—
1874C23—42no—
1875C23—81no—
1876C23—81no—
1877C23—81no—
1878C23—3161no—
1879C23—3161no—
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—63216no—
1904C23—1582no—
1905C23—1584no—
1906C23—1581no—
1907C23—1581no—
1908C23—1581no—
1909C23—1581no—
1910C23C2×D4×D7911yescharacteristic
1911C23C2×D4×D7911yescharacteristic
1912Q8—21no—
1913Q8—21no—
1914Q8—21no—
1915Q8—42no—
1916Q8—3162no—
1917Q8—792no—
1918Q8—1582no—
1919Q8—1584no—
1920Q8—1581no—
1921Q8—1581no—
1922Q8—1581no—
1923Q8C2×D4×D7912yes—
1924D4—21no—
1925D4—21no—
1926D4—21no—
1927D4—21no—
1928D4—21no—
1929D4—21no—
1930D4—21no—
1931D4—41no—
1932D4—42no—
1933D4—42no—
1934D4—42no—
1935D4—42no—
1936D4—81no—
1937D4—81no—
1938D4—81no—
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—3161no—
1955D4—3161no—
1956D4—3162no—
1957D4—3162no—
1958D4—3162no—
1959D4—792no—
1960D4—6321no—
1961D4—6321no—
1962D4—6321no—
1963D4—6321no—
1964D4—6321no—
1965D4—6321no—
1966D4—6321no—
1967D4—6321no—
1968D4—6321no—
1969D4—6321no—
1970D4—6321no—
1971D4—6321no—
1972D4—6321no—
1973D4—6321no—
1974D4—1582no—
1975D4—1584no—
1976D4—1582no—
1977D4—1582no—
1978D4—1581no—
1979D4—1581no—
1980D4—1581no—
1981D4—1581no—
1982D4—1581no—
1983D4—1581no—
1984D4—1581no—
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—42no—
1995C2×C4—42no—
1996C2×C4—81no—
1997C2×C4—3162no—
1998C2×C4—3162no—
1999C2×C4—3162no—
2000C2×C4—3162no—
2001C2×C4—3162no—
2002C2×C4—3162no—
2003C2×C4—3162no—
2004C2×C4—3162no—
2005C2×C4—3162no—
2006C2×C4—3162no—
2007C2×C4—791no—
2008C2×C4—792no—
2009C2×C4—792no—
2010C2×C4—791no—
2011C2×C4—791no—
2012C2×C4—791no—
2013C2×C4—791no—
2014C2×C4—6321no—
2015C2×C4—6321no—
2016C2×C4—6321no—
2017C2×C4—1582no—
2018C2×C4—1582no—
2019C2×C4—1584no—
2020C2×C4—1581no—
2021C2×C4—1581no—
2022C2×C4—1581no—
2023C2×C4—1582no—
2024C2×C4—1581no—
2025C2×C4—1581no—
2026C2×C4—1581no—
2027C2×C4—1581no—
2028C2×C4—1581no—
2029C2×C4C2×D4×D7911yescharacteristic
2030C2×C4C2×D4×D7911yescharacteristic
2031C2×C4C2×D4×D7911yescharacteristic
2032C2×C4C2×D4×D7911yescharacteristic
2033C2×C4C24×D7911yescharacteristic
2034C8—21no—
2035C8—21no—
2036C8—21no—
2037C8—792no—
2038C8—1581no—
2039C8—1581no—
2040C8—1581no—
2041C8C2×D4×D7912yes—
2042C22—21no—
2043C22—21no—
2044C22—22no—
2045C22—21no—
2046C22—21no—
2047C22—21no—
2048C22—21no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—84no—
2061C22—162no—
2062C22—3164no—
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—1581no—
2082C22—1582no—
2083C22—1581no—
2084C22—1581no—
2085C22—1581no—
2086C22—1581no—
2087C22—1581no—
2088C22—1581no—
2089C22—1581no—
2090C22—12642no—
2091C22C22×D4×D7911yescharacteristic
2092C4—21no—
2093C4—21no—
2094C4—22no—
2095C4—21no—
2096C4—21no—
2097C4—41no—
2098C4—41no—
2099C4—41no—
2100C4—3161no—
2101C4—3161no—
2102C4—3161no—
2103C4—792no—
2104C4—1581no—
2105C4—1581no—
2106C4—1582no—
2107C4—1581no—
2108C4—1581no—
2109C4C22×D4×D7911yescharacteristic
2110C4H(5,𝔽2)×D7911yescharacteristic
2111C2—41no—
2112C2—41no—
2113C2—42no—
2114C2—81no—
2115C2—81no—
2116C2—81no—
2117C2—3161no—
2118C2—3162no—
2119C2—3161no—
2120C2—6321no—
2121C2—6321no—
2122C2—6321no—
2123C2—1582no—
2124C2D42×D7911yescharacteristic
2125C2#2377817611yescharacteristic
2126C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3265C2
socleC22×C79C23×D4
hypercenter#3265D79
hypocenterC79#61059
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. C2×#19099369C2semidirect
2. C2×AGL(1,ℤ/8)×D79C2semidirect
3. #23777057C2semidirect
4. #23777028C2semidirect
5. #23775037C2semidirect
6. #23775035C2semidirect
7. #23775034C2semidirect
8. #23775032C2semidirect
9. #23775018C2semidirect
10. #23775016C2semidirect
11. #23775015C2semidirect
12. #23775013C2semidirect
13. #23774945C2semidirect
14. #23774942C2semidirect
15. #23774937C2semidirect
16. #23774934C2semidirect
17. #23774902C2semidirect
18. #23774895C2semidirect
19. #23774894C2semidirect
20. #23773884C2semidirect
21. #23773043C2semidirect
22. #23773004C2semidirect
23. #23772916C2semidirect
24. #23772901C2semidirect
25. #23772681C2semidirect
26. #23772663C2semidirect
27. #23772638C2semidirect
28. #23772628C2semidirect
29. #23772256C2semidirect
30. #23772098C2semidirect
31. C79×#3265C2semidirect
32. C2×#14579209C22semidirect
34. C2×#41×D79C22semidirect
37. C2×#14579192C22semidirect
38. C2×#14579190C22semidirect
39. C2×#14579190C22semidirect
40. C2×#14579189C22semidirect
42. C2×#14579188C22semidirect
43. C2×#14579188C22semidirect
44. C2×#14579188C22semidirect
45. C2×#14579188C22semidirect
46. C2×#14579187C22semidirect
47. C2×#14579187C22semidirect
48. C2×#14579186C22semidirect
49. C2×#14579185C22semidirect
50. C2×#14579185C22semidirect
51. C2×#14579185C22semidirect
53. C2×#14579183C22semidirect
54. C2×#14579182C22semidirect
55. C2×#14579182C22semidirect
57. C2×SD16×D79C22semidirect
58. C2×SD16×D79C22semidirect
60. C2×D8×D79C22semidirect
61. C2×#14579167C22semidirect
62. C2×M16×D79C22semidirect
63. #19099235C22semidirect
65. #19099234C22semidirect
66. #19099232C22semidirect
68. #19099231C22semidirect
69. #19099224C22semidirect
71. #19099223C22semidirect
73. #19099221C22semidirect
74. #19099210C22semidirect
75. #19099209C22semidirect
76. #19099208C22semidirect
77. #19099207C22semidirect
80. #19099198C22semidirect
81. #19099197C22semidirect
83. D4×C22⋊D79C22semidirect
86. #19099131C22semidirect
89. #19099129C22semidirect
94. #19099076C22semidirect
100. #19099039C22semidirect
102. #19098952C22semidirect
103. #19098951C22semidirect
104. #19098949C22semidirect
105. #19098945C22semidirect
106. #19098944C22semidirect
107. #19098939C22semidirect
108. #19098938C22semidirect
109. #19098820C22semidirect
110. #19098819C22semidirect
111. #19098815C22semidirect
112. #19098815C22semidirect
113. #19098815C22semidirect
114. #19098814C22semidirect
115. #19098814C22semidirect
116. #19098814C22semidirect
117. #19098810C22semidirect
118. #19098809C22semidirect
119. #19098806C22semidirect
120. #19098800C22semidirect
121. #19098799C22semidirect
122. #19098796C22semidirect
123. #19098786C22semidirect
124. #19098785C22semidirect
125. #19098784C22semidirect
126. #19098783C22semidirect
127. #19098781C22semidirect
128. #19098780C22semidirect
129. #19098775C22semidirect
130. #19098762C22semidirect
131. #19098761C22semidirect
132. #19098760C22semidirect
133. #19098759C22semidirect
134. #19098758C22semidirect
135. #19098757C22semidirect
136. #19098756C22semidirect
137. #19098728C22semidirect
138. #19098727C22semidirect
139. #19098726C22semidirect
140. #19098725C22semidirect
141. #19098713C22semidirect
142. #19098712C22semidirect
143. #19098712C22semidirect
144. #19098711C22semidirect
145. #19098710C22semidirect
146. #19098710C22semidirect
147. #19098709C22semidirect
148. #19098707C22semidirect
149. #19098707C22semidirect
150. #19098706C22semidirect
151. #19098706C22semidirect
152. #19098706C22semidirect
153. #19098705C22semidirect
154. #19098705C22semidirect
155. #19098703C22semidirect
156. #19098702C22semidirect
157. #19098700C22semidirect
158. #19098699C22semidirect
159. #19098698C22semidirect
160. #19098698C22semidirect
161. #19098698C22semidirect
162. #19098697C22semidirect
163. #19098697C22semidirect
164. #19098695C22semidirect
165. #19098665C22semidirect
166. #19098664C22semidirect
167. #19098662C22semidirect
168. #19098654C22semidirect
169. C4×#11929611C22semidirect
170. C4×#11929612C22semidirect
171. #19098648C22semidirect
172. #19098641C22semidirect
173. #19098640C22semidirect
174. #19098638C22semidirect
175. #19098638C22semidirect
176. #19098636C22semidirect
177. #19098634C22semidirect
178. #19098632C22semidirect
179. #19098600C22semidirect
180. #19098588C22semidirect
181. #19098570C22semidirect
183. #19098566C22semidirect
184. #19098566C22semidirect
185. #19098558C22semidirect
186. #19098556C22semidirect
187. #19098528C22semidirect
188. #19098525C22semidirect
189. #19098520C22semidirect
190. C2×AGL(1,ℤ/8)×C79C22semidirect
191. C22×SD16×C79C22semidirect
192. #548×C79C22semidirect
193. D42×C79C22semidirect
194. #496×C79C22semidirect
195. #468×C79C22semidirect
196. #466×C79C22semidirect
197. #463×C79C22semidirect
198. #460×C79C22semidirect
199. #450×C79C22semidirect
200. #449×C79C22semidirect
201. #448×C79C22semidirect
202. #447×C79C22semidirect
203. #440×C79C22semidirect
204. #435×C79C22semidirect
213. C2×#11929625C23semidirect
220. C2×#11929624C23semidirect
230. C2×Q8×D79C23semidirect
270. C2×Dic316C23semidirect
271. C2×#11929614C23semidirect
272. C2×#11929614C23semidirect
275. C2×#11929613C23semidirect
276. C2×#11929613C23semidirect
279. C2×#11929612C23semidirect
280. C2×#11929612C23semidirect
287. SD16×D79D4semidirect
298. C2×#11929609C23semidirect
299. C2×#11929609C23semidirect
304. C2×#11929608C23semidirect
309. C2×#11929607C23semidirect
313. C2×C8×D79C23semidirect
315. #14579158C23semidirect
322. #14579157C23semidirect
324. #14579150C23semidirect
351. #14579136C23semidirect
357. #14579135C23semidirect
379. #14579132C23semidirect
402. Q8×Dic79C23semidirect
404. C4×Dic158C23semidirect
406. #14579126C23semidirect
437. #14579095C23semidirect
438. #14579092C23semidirect
439. #14579092C23semidirect
440. C4⋊(C79⋊C8)C23semidirect
441. Dic79⋊C8C23semidirect
442. Dic79⋊C8C23semidirect
443. #14579086C23semidirect
444. #14579086C23semidirect
445. #14579085C23semidirect
446. #14579085C23semidirect
447. #14579084C23semidirect
448. #14579084C23semidirect
451. #14579083C23semidirect
452. #14579083C23semidirect
455. #14579082C23semidirect
456. #14579082C23semidirect
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
471. C22×Q8×C79C23semidirect
481. C2×SD16×C79C23semidirect
482. C2×SD16×C79C23semidirect
485. C2×D8×C79C23semidirect
487. C22×C8×C79C23semidirect
490. #124×C79C23semidirect
497. #121×C79C23semidirect
500. C4×Q8×C79C23semidirect
504. #107×C79C23semidirect
505. C4⋊C8×C79C23semidirect
506. #103×C79C23semidirect
507. #103×C79C23semidirect
510. #102×C79C23semidirect
511. #102×C79C23semidirect
513. C22⋊C8×C79C23semidirect
514. #97×C79C23semidirect
561. Q8×D79C2×D4semidirect
656. #11929613C2×D4semidirect
660. #11929612C2×D4semidirect
664. #11929611C2×D4semidirect
690. C8×D79C2×D4semidirect
778. SD16×C79C2×D4semidirect
1083. #3265D79semidirect
1095. C79#61059semidirect
1117. C2×AGL(1,ℤ/8)C2×D79semidirect
1124. C22×SD16C2×D79semidirect
1140. #548C2×D79semidirect
1152. D42C2×D79semidirect
1173. #496C2×D79semidirect
1189. #468C2×D79semidirect
1193. #466C2×D79semidirect
1201. #463C2×D79semidirect
1205. #460C2×D79semidirect
1217. #450C2×D79semidirect
1229. #449C2×D79semidirect
1233. #448C2×D79semidirect
1241. #447C2×D79semidirect
1245. #440C2×D79semidirect
1257. #435C2×D79semidirect
1296. C22×Q8C22×D79semidirect
1363. C2×SD16C22×D79semidirect
1364. C2×SD16C22×D79semidirect
1381. C2×D8C22×D79semidirect
1395. C22×C8C22×D79semidirect
1415. #124C22×D79semidirect
1471. #121C22×D79semidirect
1501. C4×Q8C22×D79semidirect
1536. #107C22×D79semidirect
1542. C4⋊C8C22×D79semidirect
1549. #103C22×D79semidirect
1550. #103C22×D79semidirect
1565. #102C22×D79semidirect
1566. #102C22×D79semidirect
1574. C22⋊C8C22×D79semidirect
1576. #97C22×D79semidirect
1766. SD16D4×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190993692
C2×AGL(1,ℤ/8)×D792
#237770572
#237770282
#237750372
#237750352
#237750342
#237750322
#237750182
#237750162
#237750152
#237750132
#237749452
#237749422
#237749372
#237749342
#237749022
#237748952
#237748942
#237738842
#237730432
#237730042
#237729162
#237729012
#237726812
#237726632
#237726382
#237726282
#237722562
#237720982
C79×#32652
#6105979