Finite Group Databasebeta

← #35163743

Subgroups — #35163743

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×#19099373C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D79C211yesmaximal, characteristic, complemented
3#23777053C211yesmaximal, characteristic, complemented
4#23777028C211yesmaximal, characteristic, complemented
5#23775038C211yesmaximal, characteristic, complemented
6#23775036C211yesmaximal, characteristic, complemented
7#23775033C211yesmaximal, characteristic, complemented
8#23775031C211yesmaximal, characteristic, complemented
9#23775019C211yesmaximal, characteristic, complemented
10#23775017C211yesmaximal, characteristic, complemented
11#23775014C211yesmaximal, characteristic, complemented
12#23774946C211yesmaximal, characteristic, complemented
13#23774941C211yesmaximal, characteristic, complemented
14#23774938C211yesmaximal, characteristic, complemented
15#23774933C211yesmaximal, characteristic, complemented
16#23774899C211yesmaximal, characteristic, complemented
17#23774898C211yesmaximal, characteristic, complemented
18#23774891C211yesmaximal, characteristic, complemented
19#23774890C211yesmaximal, characteristic, complemented
20#23773880C211yesmaximal, characteristic, complemented
21#23773046C211yesmaximal, characteristic, complemented
22#23773007C211yesmaximal, characteristic, complemented
23#23772916C211yesmaximal, characteristic, complemented
24#23772898C211yesmaximal, characteristic, complemented
25#23772683C211yesmaximal, characteristic, complemented
26#23772663C211yesmaximal, characteristic, complemented
27#23772638C211yesmaximal, characteristic, complemented
28#23772624C211yesmaximal, characteristic, complemented
29#23772254C211yesmaximal, characteristic, complemented
30#23772100C211yesmaximal, characteristic, complemented
31C79×#3274C211yesmaximal, characteristic, complemented
32C2×#14579208C2211yescharacteristic, complemented
33C2×#14579206C2211yescharacteristic
34C2×#41×D79C2211yescharacteristic, complemented
35C22×D4×D79C2211yescharacteristic
36#19099373—28no—
37C2×#14579194C2211yescharacteristic, complemented
38C2×#14579190C2211yescharacteristic, complemented
39C2×#14579190C2211yescharacteristic, complemented
40C2×#14579189C2211yescharacteristic, complemented
41C2×#14579188C2211yescharacteristic, complemented
42C2×#14579188C2211yescharacteristic, complemented
43C2×#14579187C2211yescharacteristic, complemented
44C2×#14579186C2211yescharacteristic, complemented
45C2×#14579185C2211yescharacteristic
46C2×#14579185C2211yescharacteristic, complemented
47C2×#14579185C2211yescharacteristic, complemented
48C2×#14579185C2211yescharacteristic, complemented
49C2×#14579185C2211yescharacteristic, complemented
50C2×#14579185C2211yescharacteristic, complemented
51AGL(1,ℤ/8)×D79—28no—
52C2×#14579181C2211yescharacteristic, complemented
53C2×#14579180C2211yescharacteristic, complemented
54C2×#14579180C2211yescharacteristic, complemented
55C22×#11929612C2211yescharacteristic, complemented
56C2×SD16×D79C2211yescharacteristic
57C2×SD16×D79C2211yescharacteristic, complemented
58C2×SD16×D79C2211yescharacteristic, complemented
59C2×D8×D79C2211yescharacteristic
60C2×D8×D79C2211yescharacteristic, complemented
61C2×#14579169C2211yescharacteristic, complemented
62C2×M16×D79C2211yescharacteristic, complemented
63#19099233—21no—
64#19099233C2211yescharacteristic, complemented
65#19099232C2211yescharacteristic, complemented
66#19099231—21no—
67#19099231C2211yescharacteristic, complemented
68#19099225C2211yescharacteristic, complemented
69#19099222—21no—
70#19099222C2211yescharacteristic, complemented
71#19099220C2211yescharacteristic, complemented
72#19099219—21no—
73#19099219C2211yescharacteristic, 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#19099129—21no—
86#19099129C2211yescharacteristic
87#19099129C2211yescharacteristic, complemented
88#19099126—21no—
89#19099126C2211yescharacteristic
90#19099126C2211yescharacteristic, complemented
91#19099123—21no—
92#19099121—21no—
93#19099073—21no—
94#19099073C2211yescharacteristic
95#19099073C2211yescharacteristic, complemented
96#19099072—21no—
97#19099072C2211yescharacteristic
98C2×#14579129—21no—
99#120×D79—21no—
100#19099039C2211yescharacteristic, complemented
101#19099035C2211yescharacteristic
102#19098951C2211yescharacteristic, complemented
103#19098951C2211yescharacteristic, complemented
104#19098950C2211yescharacteristic, complemented
105#19098950C2211yescharacteristic, complemented
106#19098947C2211yescharacteristic, complemented
107#19098946C2211yescharacteristic, complemented
108#19098938C2211yescharacteristic, complemented
109#19098822C2211yescharacteristic, complemented
110#19098821C2211yescharacteristic, complemented
111#19098817C2211yescharacteristic, complemented
112#19098816C2211yescharacteristic, complemented
113#19098813C2211yescharacteristic, complemented
114#19098813C2211yescharacteristic, complemented
115#19098808C2211yescharacteristic, complemented
116#19098808C2211yescharacteristic, complemented
117#19098807C2211yescharacteristic, complemented
118#19098807C2211yescharacteristic, complemented
119#19098798C2211yescharacteristic, complemented
120#19098798C2211yescharacteristic, complemented
121#19098797C2211yescharacteristic, complemented
122#19098797C2211yescharacteristic, complemented
123#19098786C2211yescharacteristic, complemented
124#19098785C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098779C2211yescharacteristic, complemented
128#19098778C2211yescharacteristic, complemented
129#19098777C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098762C2211yescharacteristic, complemented
132#19098761C2211yescharacteristic, complemented
133#19098760C2211yescharacteristic, complemented
134#19098757C2211yescharacteristic, complemented
135#19098756C2211yescharacteristic, complemented
136#19098755C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098727C2211yescharacteristic, complemented
139#19098726C2211yescharacteristic, complemented
140#19098725C2211yescharacteristic, complemented
141#19098716C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic, complemented
144#19098714C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098709C2211yescharacteristic, complemented
147#19098709C2211yescharacteristic, complemented
148#19098708C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098706C2211yescharacteristic, complemented
151#19098706C2211yescharacteristic, complemented
152#19098705C2211yescharacteristic, complemented
153#19098705C2211yescharacteristic, complemented
154#19098705C2211yescharacteristic, complemented
155#19098704C2211yescharacteristic, complemented
156#19098703C2211yescharacteristic, complemented
157#19098701C2211yescharacteristic, complemented
158#19098700C2211yescharacteristic, complemented
159#19098698C2211yescharacteristic, complemented
160#19098697C2211yescharacteristic, complemented
161#19098696C2211yescharacteristic, complemented
162#19098695C2211yescharacteristic, complemented
163#19098695C2211yescharacteristic, complemented
164#19098695C2211yescharacteristic, complemented
165#19098666C2211yescharacteristic, complemented
166#19098663C2211yescharacteristic, complemented
167#19098661C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169C4×#11929613C2211yescharacteristic, complemented
170SD16×Dic79C2211yescharacteristic, complemented
171#19098650C2211yescharacteristic, complemented
172#19098642C2211yescharacteristic, complemented
173#19098639C2211yescharacteristic, complemented
174#19098639C2211yescharacteristic, complemented
175#19098637C2211yescharacteristic, complemented
176#19098635C2211yescharacteristic, complemented
177#19098633C2211yescharacteristic, complemented
178#19098631C2211yescharacteristic, complemented
179#19098598C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098570C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098556C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187#19098528C2211yescharacteristic, complemented
188#19098525C2211yescharacteristic, complemented
189#19098517C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
191C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
192#550×C79C2211yescharacteristic, complemented
193D42×C79C2211yescharacteristic, complemented
194#493×C79C2211yescharacteristic, complemented
195#469×C79C2211yescharacteristic, complemented
196#469×C79C2211yescharacteristic, complemented
197#460×C79C2211yescharacteristic, complemented
198#459×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201#447×C79C2211yescharacteristic, complemented
202#447×C79C2211yescharacteristic, complemented
203C4×SD16×C79C2211yescharacteristic, complemented
204#436×C79C2211yescharacteristic, complemented
205C24×D79—21no—
206#14579208—24no—
207#14579208—42no—
208#14579206—24no—
209#14579206—42no—
210C2×#11929625C2311yescharacteristic
211C2×#11929624—21no—
212C2×#11929624—21no—
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929623—21no—
217C2×#11929623—21no—
218C2×#11929623—21no—
219C2×#11929623—21no—
220C2×#11929623C2311yescharacteristic
221C2×#11929623C2311yescharacteristic
222C2×#11929623C2311yescharacteristic
223C2×#11929623C2311yescharacteristic
224C2×#11929623C2311yescharacteristic, complemented
225#41×D79—24no—
226#41×D79—42no—
227C22×Dic158—21no—
228C22×Dic158C2311yescharacteristic, complemented
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#14579194—24no—
253#14579190—24no—
254#14579190—24no—
255#14579189—24no—
256#14579188—24no—
257#14579188—24no—
258#14579187—24no—
259#14579186—24no—
260#14579185—24no—
261#14579185—24no—
262#14579185—24no—
263#14579185—24no—
264#14579185—42no—
265#14579185—42no—
266#14579181—24no—
267#14579180—24no—
268#14579180—24no—
269C2×Dic316C2311yescharacteristic, complemented
270C2×Dic316C2311yescharacteristic, complemented
271C2×#11929614C2311yescharacteristic, complemented
272C2×#11929613C2311yescharacteristic
273C2×#11929613C2311yescharacteristic
274C2×#11929613C2311yescharacteristic
275C2×#11929613C2311yescharacteristic
276C2×#11929613C2311yescharacteristic, complemented
277C2×#11929612—24no—
278C2×#11929612C2311yescharacteristic
279C2×#11929612C2311yescharacteristic
280C2×#11929612C2311yescharacteristic
281C2×#11929612C2311yescharacteristic
282C2×#11929612C2311yescharacteristic, complemented
283C2×#11929612C2311yescharacteristic, complemented
284C2×#11929612C2311yescharacteristic, complemented
285C2×#11929612C2311yescharacteristic, complemented
286C2×#11929611C2311yescharacteristic
287C2×#11929611C2311yescharacteristic
288SD16×D79—24no—
289SD16×D79—24no—
290SD16×D79D418yescomplemented
291C2×D632C2311yescharacteristic
292C2×D632C2311yescharacteristic
293C2×#11929609C2311yescharacteristic
294C2×#11929609C2311yescharacteristic
295C2×#11929609C2311yescharacteristic
296C2×#11929609C2311yescharacteristic
297C2×#11929609C2311yescharacteristic
298C2×#11929609C2311yescharacteristic
299C2×#11929609C2311yescharacteristic, complemented
300D8×D79—24no—
301D8×D79—24no—
302#14579169—24no—
303C2×#11929608C2311yescharacteristic
304C2×#11929607C2311yescharacteristic
305C2×#11929607C2311yescharacteristic
306C2×#11929607C2311yescharacteristic
307C2×#11929607C2311yescharacteristic
308C2×#11929607C2311yescharacteristic, complemented
309M16×D79—24no—
310C22×C79⋊C8C2311yescharacteristic, complemented
311C2×C8×D79C2311yescharacteristic
312C2×C8×D79C2311yescharacteristic
313C2×C8×D79C2311yescharacteristic, complemented
314#14579157—21no—
315#14579157—21no—
316#14579157—21no—
317#14579157—21no—
318#14579157—21no—
319#14579157C2311yescharacteristic
320#14579157C2311yescharacteristic, complemented
321#14579149—21no—
322#14579149C2311yescharacteristic
323#14579149C2311yescharacteristic, complemented
324#14579148—21no—
325#14579148C2311yescharacteristic
326#14579148C2311yescharacteristic, complemented
327#14579147—21no—
328#14579147—21no—
329#14579147—21no—
330#14579147—21no—
331#14579146—21no—
332#14579146D411yescharacteristic
333#14579145—21no—
334#14579143—21no—
335#14579143—21no—
336#14579143—21no—
337#14579143D411yescharacteristic
338#14579142—21no—
339#14579141—21no—
340#14579141C2311yescharacteristic
341#14579141C2311yescharacteristic
342#14579140—21no—
343#14579140C2311yescharacteristic
344#14579140C2311yescharacteristic
345#14579139—21no—
346#14579139D411yescharacteristic
347#14579138—21no—
348#14579138D411yescharacteristic
349#14579136—21no—
350#14579136C2311yescharacteristic
351#14579136C2311yescharacteristic, complemented
352#14579135—21no—
353#14579135—21no—
354#14579135C2311yescharacteristic
355#14579135C2311yescharacteristic, complemented
356#14579134—21no—
357#14579134—21no—
358#14579134—21no—
359#14579134D411yescharacteristic
360#14579133—21no—
361#14579133—21no—
362#14579133—21no—
363#14579133—21no—
364#14579133—21no—
365#14579133—21no—
366#14579133—21no—
367#14579133—21no—
368#14579133—21no—
369#14579133—21no—
370#14579133—21no—
371#14579133D411yescharacteristic
372#14579132—21no—
373#14579132—21no—
374#14579132—21no—
375#14579132—21no—
376#14579132C2311yescharacteristic
377#14579132C2311yescharacteristic
378#14579132C2311yescharacteristic
379#14579132C2311yescharacteristic, complemented
380#14579131—21no—
381#14579131—21no—
382#14579131—21no—
383#14579131—21no—
384#14579131D411yescharacteristic
385#14579130—21no—
386#14579130—21no—
387#14579129—21no—
388#14579129—21no—
389#14579129—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×Dic79—21no—
412D4×Dic79—21no—
413D4×Dic79—21no—
414D4×Dic79C2311yescharacteristic
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#14579094C2311yescharacteristic, complemented
438#14579094C2311yescharacteristic, complemented
439#14579093C2311yescharacteristic, complemented
440C4⋊(C79⋊C8)C2311yescharacteristic, complemented
441Dic79⋊C8C2311yescharacteristic, complemented
442Dic79⋊C8C2311yescharacteristic, complemented
443#14579086C2311yescharacteristic, complemented
444#14579086C2311yescharacteristic, complemented
445#14579086C2311yescharacteristic, complemented
446#14579085C2311yescharacteristic, complemented
447#14579084C2311yescharacteristic, complemented
448#14579084C2311yescharacteristic, complemented
449#14579084C2311yescharacteristic, complemented
450#14579083C2311yescharacteristic
451#14579083C2311yescharacteristic
452#14579083C2311yescharacteristic, complemented
453#14579082C2311yescharacteristic
454#14579082C2311yescharacteristic
455#14579082C2311yescharacteristic, complemented
456#14579082C2311yescharacteristic, complemented
457#14579082C2311yescharacteristic, complemented
458#14579081C2311yescharacteristic
459#14579081C2311yescharacteristic
460#14579081C2311yescharacteristic, complemented
461C22⋊(C79⋊C8)C2311yescharacteristic
462C22⋊(C79⋊C8)C2311yescharacteristic, complemented
463(C2×D79)⋊C8C2311yescharacteristic
464(C2×D79)⋊C8C2311yescharacteristic
465(C2×D79)⋊C8C2311yescharacteristic, complemented
466(C2×D79)⋊C8C2311yescharacteristic, complemented
467#14579072C2311yescharacteristic, complemented
468#14579071C2311yescharacteristic, complemented
469C8×Dic79C2311yescharacteristic, complemented
470C2×#41×C79C2311yescharacteristic
471C2×#41×C79C2311yescharacteristic, complemented
472C22×D4×C79—21no—
473C22×D4×C79C2311yescharacteristic
474C22×D4×C79C2311yescharacteristic
475AGL(1,ℤ/8)×C79—24no—
476AGL(1,ℤ/8)×C79—24no—
477C2×SD16×C79C2311yescharacteristic
478C2×SD16×C79C2311yescharacteristic
479C2×SD16×C79C2311yescharacteristic, complemented
480C2×D8×C79C2311yescharacteristic
481C2×D8×C79C2311yescharacteristic
482C2×D8×C79C2311yescharacteristic
483C2×D8×C79C2311yescharacteristic
484C2×D8×C79C2311yescharacteristic, complemented
485C2×D8×C79C2311yescharacteristic, complemented
486C2×M16×C79C2311yescharacteristic
487C2×M16×C79C2311yescharacteristic, complemented
488#127×C79—21no—
489#127×C79C2311yescharacteristic
490#127×C79C2311yescharacteristic, complemented
491#121×C79—21no—
492#121×C79—21no—
493#121×C79—21no—
494#121×C79C2311yescharacteristic
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#106×C79C2311yescharacteristic, complemented
505C4⋊C8×C79C2311yescharacteristic, complemented
506#103×C79C2311yescharacteristic, complemented
507#102×C79C2311yescharacteristic
508#102×C79C2311yescharacteristic
509#102×C79C2311yescharacteristic, complemented
510#102×C79C2311yescharacteristic, complemented
511#102×C79C2311yescharacteristic, complemented
512C22⋊C8×C79C2311yescharacteristic
513C22⋊C8×C79C2311yescharacteristic, complemented
514C4×C8×C79C2311yescharacteristic, complemented
515C23×D79—21no—
516C23×D79—21no—
517C23×D79—21no—
518C23×D79—21no—
519C23×D79—21no—
520C23×D79—21no—
521C23×D79—21no—
522C23×D79—44no—
523C23×D79—82no—
524C23×D79—82no—
525C23×D79C2×D411yescharacteristic
526#11929625—22no—
527#11929625—41no—
528#11929624—22no—
529#11929624—22no—
530#11929624—22no—
531#11929624—22no—
532#11929624—41no—
533#11929624—41no—
534#11929624—44no—
535#11929624—44no—
536#11929623—22no—
537#11929623—22no—
538#11929623—22no—
539#11929623—22no—
540#11929623—22no—
541#11929623—22no—
542#11929623—22no—
543#11929623—44no—
544#11929623—44no—
545#11929623—44no—
546#11929623—41no—
547#11929623—41no—
548#11929623—41no—
549#11929623—44no—
550C2×Dic158—21no—
551C2×Dic158—22no—
552C2×Dic158—21no—
553C2×Dic158—21no—
554C2×Dic158—41no—
555C2×Dic158—44no—
556C2×Dic158C2×D411yescharacteristic
557C2×Dic158C2411yescharacteristic
558C2×Dic158C2411yescharacteristic
559C2×Dic158C2411yescharacteristic
560Q8×D79—22no—
561Q8×D79—22no—
562Q8×D79—41no—
563Q8×D79C2×D414yescomplemented
564C2×D316—21no—
565C2×D316—21no—
566C2×D316—21no—
567C2×D316—22no—
568C2×D316—21no—
569C2×D316—41no—
570C2×D316C2×D411yescharacteristic
571C2×D316C2×D411yescharacteristic
572C2×D316C2411yescharacteristic
573C2×D316C2411yescharacteristic
574C2×D316C2411yescharacteristic
575C2×C22⋊D79—21no—
576C2×C22⋊D79—21no—
577C2×C22⋊D79—21no—
578C2×C22⋊D79—21no—
579C2×C22⋊D79—21no—
580C2×C22⋊D79—21no—
581C2×C22⋊D79—21no—
582C2×C22⋊D79—21no—
583C2×C22⋊D79—21no—
584C2×C22⋊D79—21no—
585C2×C22⋊D79—21no—
586C2×C22⋊D79—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—44no—
600C2×C22⋊D79—44no—
601C2×C22⋊D79—82no—
602C2×C22⋊D79C2×D411yescharacteristic
603C2×C22⋊D79C2×D411yescharacteristic
604C2×C22⋊D79C2×D411yescharacteristic
605C2×C22⋊D79C2×D411yescharacteristic
606D4×D79—22no—
607D4×D79—22no—
608D4×D79—22no—
609D4×D79—22no—
610D4×D79—22no—
611D4×D79—22no—
612D4×D79—22no—
613D4×D79—22no—
614D4×D79—44no—
615D4×D79—41no—
616D4×D79—41no—
617D4×D79—41no—
618D4×D79—44no—
619D4×D79—44no—
620D4×D79—44no—
621D4×D79—82no—
622D4×D79—82no—
623D4×D79C2×D414yes—
624C22×Dic79—21no—
625C22×Dic79—21no—
626C22×Dic79—21no—
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—44no—
642C2×C4×D79C2×D411yescharacteristic
643C2×C4×D79C2×D411yescharacteristic
644C2×C4×D79C2411yescharacteristic
645C2×C4×D79C2411yescharacteristic
646C2×C4×D79C2411yescharacteristic
647Dic316—22no—
648Dic316—22no—
649#11929614—22no—
650#11929613—22no—
651#11929613—22no—
652#11929613—41no—
653#11929613—41no—
654#11929613C2×D414yescomplemented
655#11929612—22no—
656#11929612—22no—
657#11929612—22no—
658#11929612—22no—
659#11929612—22no—
660#11929612—41no—
661#11929612—41no—
662#11929612C2×D414yescomplemented
663#11929611—22no—
664#11929611C2×D414yescomplemented
665D632—22no—
666D632—22no—
667#11929609—22no—
668#11929609—22no—
669#11929609—22no—
670#11929609—22no—
671#11929609—22no—
672#11929609—41no—
673#11929609—41no—
674#11929608—22no—
675#11929607—22no—
676#11929607—22no—
677#11929607—22no—
678#11929607—22no—
679#11929607—22no—
680C2×C79⋊C8—22no—
681C2×C79⋊C8C2411yescharacteristic
682C2×C79⋊C8C2411yescharacteristic
683C2×C79⋊C8C2411yescharacteristic
684C2×C79⋊C8C2411yescharacteristic
685C8×D79—22no—
686C8×D79—22no—
687C8×D79C2×D414yescomplemented
688C4⋊Dic79—21no—
689C4⋊Dic79—21no—
690C4⋊Dic79—21no—
691C4⋊Dic79C2×D411yescharacteristic
692C4⋊Dic79C2411yescharacteristic
693C4⋊Dic79C2411yescharacteristic
694Dic79⋊C4—21no—
695Dic79⋊C4—21no—
696Dic79⋊C4—21no—
697Dic79⋊C4—21no—
698Dic79⋊C4C2×D411yescharacteristic
699Dic79⋊C4C2×D411yescharacteristic
700Dic79⋊C4C2×D411yescharacteristic
701Dic79⋊C4C2×D411yescharacteristic
702C22⋊Dic79—21no—
703C22⋊Dic79—21no—
704C22⋊Dic79—21no—
705C22⋊Dic79—21no—
706C22⋊Dic79—21no—
707C22⋊Dic79—21no—
708C22⋊Dic79—21no—
709C22⋊Dic79—21no—
710C22⋊Dic79—21no—
711C22⋊Dic79—21no—
712C22⋊Dic79—21no—
713C22⋊Dic79C2×D411yescharacteristic
714C22⋊Dic79C2×D411yescharacteristic
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—22no—
745#41×C79—41no—
746#41×C79—41no—
747C2×Q8×C79C2411yescharacteristic
748C2×D4×C79—22no—
749C2×D4×C79—22no—
750C2×D4×C79—21no—
751C2×D4×C79—21no—
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—21no—
761C2×D4×C79—21no—
762C2×D4×C79—41no—
763C2×D4×C79—41no—
764C2×D4×C79—82no—
765C2×D4×C79C2×D411yescharacteristic
766C2×D4×C79C2411yescharacteristic
767C2×D4×C79C2411yescharacteristic
768C2×D4×C79C2411yescharacteristic
769C2×D4×C79C2411yescharacteristic
770C2×D4×C79C2411yescharacteristic
771C22×C4×C79—21no—
772C22×C4×C79—21no—
773C22×C4×C79—21no—
774C22×C4×C79C2411yescharacteristic
775C22×C4×C79C2411yescharacteristic
776SD16×C79—22no—
777SD16×C79—22no—
778SD16×C79C2×D414yescomplemented
779D8×C79—22no—
780D8×C79—22no—
781D8×C79—22no—
782D8×C79—22no—
783D8×C79—41no—
784D8×C79—41no—
785M16×C79—22no—
786M16×C79—22no—
787C2×C8×C79C2411yescharacteristic
788C2×C8×C79C2411yescharacteristic
789C2×C8×C79C2411yescharacteristic
790C2×C8×C79C2411yescharacteristic
791C4⋊C4×C79—21no—
792C4⋊C4×C79C2×D411yescharacteristic
793C4⋊C4×C79C2411yescharacteristic
794C4⋊C4×C79C2411yescharacteristic
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—21no—
809C23×C79—42no—
810C23×C79—42no—
811C23×C79—42no—
812C23×C79—81no—
813C23×C79—81no—
814C23×C79—81no—
815C23×C79C22×D411yescharacteristic
816C23×C79C22×D411yescharacteristic
817C22×D79—21no—
818C22×D79—22no—
819C22×D79—24no—
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×C79C22×D412yes—
850D4×C79—21no—
851D4×C79—21no—
852D4×C79—21no—
853D4×C79—21no—
854D4×C79—21no—
855D4×C79—21no—
856D4×C79—21no—
857D4×C79—21no—
858D4×C79—21no—
859D4×C79—41no—
860D4×C79—42no—
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×C79—81no—
870D4×C79—81no—
871D4×C79—81no—
872D4×C79C22×D412yes—
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—42no—
881C2×C4×C79—42no—
882C2×C4×C79—81no—
883C2×C4×C79C22×D411yescharacteristic
884C2×C4×C79C22×D411yescharacteristic
885C2×C4×C79C22×D411yescharacteristic
886C2×C4×C79C22×D411yescharacteristic
887C2×C4×C79C2511yescharacteristic
888C22⋊D79—22no—
889C22⋊D79—24no—
890C22⋊D79—22no—
891C22⋊D79—41no—
892C22⋊D79—41no—
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—42no—
904C22⋊D79—42no—
905C22⋊D79—42no—
906C22⋊D79—81no—
907C22⋊D79—81no—
908C22⋊D79—81no—
909C22⋊D79—81no—
910C22⋊D79—81no—
911C22⋊D79—81no—
912C22⋊D79—81no—
913C22⋊D79—81no—
914C22⋊D79—81no—
915C2×Dic79—21no—
916C2×Dic79—22no—
917C2×Dic79—21no—
918C2×Dic79—21no—
919C2×Dic79—21no—
920C2×Dic79—21no—
921C2×Dic79—42no—
922C2×Dic79—42no—
923C2×Dic79—42no—
924C2×Dic79—42no—
925C2×Dic79—42no—
926C2×Dic79—42no—
927C2×Dic79—81no—
928C2×Dic79C22×D411yescharacteristic
929C2×Dic79C22×D411yescharacteristic
930C2×Dic79C22×D411yescharacteristic
931C2×Dic79C22×D411yescharacteristic
932C2×Dic79C22×D411yescharacteristic
933D316—22no—
934D316—21no—
935D316—21no—
936D316—21no—
937D316—21no—
938D316—21no—
939D316—41no—
940D316—42no—
941D316—42no—
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—81no—
957C4×D79—81no—
958C4×D79C22×D412yes—
959C4×D79H(5,𝔽2)12yes—
960Dic158—21no—
961Dic158—24no—
962Dic158—22no—
963Dic158—21no—
964Dic158—21no—
965Dic158—21no—
966Dic158—21no—
967Dic158—42no—
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—41no—
997C22×C79—41no—
998C22×C79—41no—
999C22×C79—84no—
1000C22×C79—162no—
1001C22×C79C23×D411yescharacteristic
1002C2×D79—21no—
1003C2×D79—21no—
1004C2×D79—21no—
1005C2×D79—21no—
1006C2×D79—21no—
1007C2×D79—21no—
1008C2×D79—21no—
1009C2×D79—22no—
1010C2×D79—21no—
1011C2×D79—44no—
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×C79C23×D411yescharacteristic
1036C4×C79C2×H(5,𝔽2)11yescharacteristic
1037Dic79—21no—
1038Dic79—21no—
1039Dic79—21no—
1040Dic79—21no—
1041Dic79—22no—
1042Dic79—41no—
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×C79—81no—
1055C2×C79C2×D4211yescharacteristic
1056C2×C79#358511yescharacteristic
1057C2×C79#358511yescharacteristic
1058D79—22no—
1059D79—41no—
1060D79—41no—
1061D79—42no—
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#3274D7911yescharacteristic, complemented
1076#3268—791no—
1077#3268—791no—
1078#3268—791no—
1079#3268—791no—
1080#3265—791no—
1081#3265—791no—
1082#3265—791no—
1083#3265—791no—
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)—1588no—
1116C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
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×SD16—791no—
1125C22×D8—791no—
1126C22×D8—791no—
1127C2×#131—791no—
1128C22×M16—791no—
1129#550—791no—
1130#550—791no—
1131#550—791no—
1132#550—1581no—
1133#550—1581no—
1134#550C2×D7911yescharacteristic, complemented
1135#548—791no—
1136#548—791no—
1137#548—791no—
1138#548—791no—
1139#548—1581no—
1140#548—1581no—
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#496—791no—
1174#495—791no—
1175#495—791no—
1176#493—791no—
1177#493C2×D7911yescharacteristic, complemented
1178#470—791no—
1179#470—791no—
1180#469—791no—
1181#469—791no—
1182#469—791no—
1183#469—791no—
1184#469C2×D7911yescharacteristic, complemented
1185#469C2×D7911yescharacteristic, complemented
1186#468—791no—
1187#468—791no—
1188#468—791no—
1189#468—791no—
1190#466—791no—
1191#466—791no—
1192#466—791no—
1193#466—791no—
1194#464—791no—
1195#464—791no—
1196#464—791no—
1197#464—791no—
1198#463—791no—
1199#463—791no—
1200#463—791no—
1201#463—791no—
1202#460—791no—
1203#460—791no—
1204#460—791no—
1205#460C2×D7911yescharacteristic, complemented
1206#459—791no—
1207#459—791no—
1208#459—791no—
1209#459C2×D7911yescharacteristic, complemented
1210#452—791no—
1211#452—791no—
1212#452—791no—
1213#452—791no—
1214#450—791no—
1215#450—791no—
1216#450—791no—
1217#450—791no—
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#449C2×D7911yescharacteristic, complemented
1229#449C2×D7911yescharacteristic, complemented
1230#448—791no—
1231#448—791no—
1232#448—791no—
1233#448—791no—
1234#447—791no—
1235#447—791no—
1236#447—791no—
1237#447—791no—
1238#447—791no—
1239#447—791no—
1240#447C2×D7911yescharacteristic, complemented
1241#447C2×D7911yescharacteristic, complemented
1242#440—791no—
1243#440—791no—
1244#440—791no—
1245#440—791no—
1246C4×SD16—791no—
1247C4×SD16—791no—
1248C4×SD16—791no—
1249C4×SD16C2×D7911yescharacteristic, complemented
1250#436—791no—
1251#436—791no—
1252#436—791no—
1253#436C2×D7911yescharacteristic, complemented
1254#435—791no—
1255#435—791no—
1256#435—791no—
1257#435—791no—
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—1581no—
1285C2×#41—1581no—
1286C2×#41—1584no—
1287C2×#41—1581no—
1288C2×#41—1581no—
1289C2×#41—1581no—
1290C2×#41—1581no—
1291C2×#41C22×D7911yescharacteristic
1292C2×#41C22×D7911yescharacteristic, complemented
1293C22×Q8—791no—
1294C22×Q8—791no—
1295C22×Q8—791no—
1296C22×Q8—1581no—
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)—24no—
1326AGL(1,ℤ/8)—3162no—
1327AGL(1,ℤ/8)—3162no—
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—791no—
1344C2×SD16—791no—
1345C2×SD16—791no—
1346C2×SD16—791no—
1347C2×SD16—798no—
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—791no—
1359C2×SD16—1584no—
1360C2×SD16—1584no—
1361C2×SD16—1584no—
1362C2×SD16C22×D7911yescharacteristic
1363C2×SD16C22×D7911yescharacteristic
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—1584no—
1375C2×D8—1584no—
1376C2×D8C22×D7911yescharacteristic
1377C2×D8C22×D7911yescharacteristic
1378C2×D8C22×D7911yescharacteristic
1379C2×D8C22×D7911yescharacteristic
1380C2×D8C22×D7911yescharacteristic, complemented
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—1584no—
1390C2×M16C22×D7911yescharacteristic
1391C2×M16C22×D7911yescharacteristic, complemented
1392C22×C8—791no—
1393C22×C8—791no—
1394C22×C8—791no—
1395C22×C8—791no—
1396#127—21no—
1397#127—791no—
1398#127—791no—
1399#127—1581no—
1400#127—1581no—
1401#127—1581no—
1402#127—1581no—
1403#127—1581no—
1404#127C22×D7911yescharacteristic
1405#127C22×D7911yescharacteristic, complemented
1406#124—791no—
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#124—1581no—
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—791no—
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⋊Q8—1581no—
1434#121—21no—
1435#121—21no—
1436#121—21no—
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#121C22×D7911yescharacteristic
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#107—791no—
1537#106—791no—
1538#106C22×D7911yescharacteristic, complemented
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#103—791no—
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#102C22×D7911yescharacteristic
1563#102C22×D7911yescharacteristic
1564#102C22×D7911yescharacteristic, complemented
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#97—791no—
1577C4×C8—791no—
1578C4×C8C22×D7911yescharacteristic, complemented
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—22no—
1594#41—41no—
1595#41—41no—
1596#41—3161no—
1597#41—3161no—
1598#41—3164no—
1599#41—3164no—
1600#41—3164no—
1601#41—3164no—
1602#41—3161no—
1603#41—3161no—
1604#41—3161no—
1605#41—3164no—
1606#41—3164no—
1607#41—3161no—
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—3161no—
1621C2×Q8—3164no—
1622C2×Q8—3161no—
1623C2×Q8—791no—
1624C2×Q8—794no—
1625C2×Q8—791no—
1626C2×Q8—791no—
1627C2×Q8—791no—
1628C2×Q8—1582no—
1629C2×Q8—1581no—
1630C2×Q8—1581no—
1631C2×Q8—1582no—
1632C2×Q8—1582no—
1633C2×Q8—1581no—
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—21no—
1646C2×D4—21no—
1647C2×D4—21no—
1648C2×D4—21no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—82no—
1652C2×D4—3161no—
1653C2×D4—3164no—
1654C2×D4—3164no—
1655C2×D4—3164no—
1656C2×D4—3161no—
1657C2×D4—3161no—
1658C2×D4—3161no—
1659C2×D4—3164no—
1660C2×D4—3164no—
1661C2×D4—3164no—
1662C2×D4—3164no—
1663C2×D4—791no—
1664C2×D4—791no—
1665C2×D4—794no—
1666C2×D4—791no—
1667C2×D4—791no—
1668C2×D4—791no—
1669C2×D4—791no—
1670C2×D4—791no—
1671C2×D4—791no—
1672C2×D4—791no—
1673C2×D4—6322no—
1674C2×D4—6322no—
1675C2×D4—6322no—
1676C2×D4—1581no—
1677C2×D4—1582no—
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—1581no—
1705C2×D4—1582no—
1706C2×D4—1581no—
1707C2×D4—1581no—
1708C2×D4—1581no—
1709C2×D4—1581no—
1710C2×D4—1581no—
1711C2×D4—1581no—
1712C2×D4D4×D7911yescharacteristic
1713C2×D4C23×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—1582no—
1732C22×C4—1582no—
1733C22×C4—1581no—
1734C22×C4—1581no—
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—3161no—
1752SD16—3161no—
1753SD16—3161no—
1754SD16—3161no—
1755SD16—794no—
1756SD16—794no—
1757SD16—794no—
1758SD16—1582no—
1759SD16—1582no—
1760SD16—1582no—
1761SD16—1582no—
1762SD16—1582no—
1763SD16—1582no—
1764SD16—1582no—
1765SD16—1582no—
1766SD16D4×D7914yescomplemented
1767D8—22no—
1768D8—22no—
1769D8—22no—
1770D8—22no—
1771D8—41no—
1772D8—41no—
1773D8—3161no—
1774D8—3161no—
1775D8—1582no—
1776D8—1582no—
1777D8—1582no—
1778D8—1582no—
1779D8—1582no—
1780D8—1582no—
1781D8—1582no—
1782M16—22no—
1783M16—22no—
1784M16—1582no—
1785M16—1582no—
1786M16—1582no—
1787M16—1582no—
1788M16—1582no—
1789M16—1582no—
1790C2×C8—791no—
1791C2×C8—794no—
1792C2×C8—791no—
1793C2×C8—791no—
1794C2×C8—791no—
1795C2×C8—1582no—
1796C2×C8—1582no—
1797C2×C8—1582no—
1798C2×C8C23×D7911yescharacteristic
1799C2×C8C23×D7911yescharacteristic
1800C2×C8C23×D7911yescharacteristic
1801C2×C8C23×D7911yescharacteristic
1802C4⋊C4—21no—
1803C4⋊C4—791no—
1804C4⋊C4—791no—
1805C4⋊C4—791no—
1806C4⋊C4—791no—
1807C4⋊C4—791no—
1808C4⋊C4—791no—
1809C4⋊C4—791no—
1810C4⋊C4—1581no—
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—791no—
1826C22⋊C4—791no—
1827C22⋊C4—791no—
1828C22⋊C4—791no—
1829C22⋊C4—791no—
1830C22⋊C4—791no—
1831C22⋊C4—791no—
1832C22⋊C4—791no—
1833C22⋊C4—1581no—
1834C22⋊C4—1581no—
1835C22⋊C4—1581no—
1836C22⋊C4—1581no—
1837C22⋊C4—1581no—
1838C22⋊C4—1581no—
1839C22⋊C4—1581no—
1840C22⋊C4—1581no—
1841C22⋊C4—1581no—
1842C22⋊C4—1581no—
1843C22⋊C4—1581no—
1844C22⋊C4—1581no—
1845C22⋊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—21no—
1873C23—42no—
1874C23—42no—
1875C23—42no—
1876C23—81no—
1877C23—81no—
1878C23—81no—
1879C23—3161no—
1880C23—3161no—
1881C23—3162no—
1882C23—3162no—
1883C23—3162no—
1884C23—3162no—
1885C23—3162no—
1886C23—3162no—
1887C23—3162no—
1888C23—3162no—
1889C23—3162no—
1890C23—791no—
1891C23—791no—
1892C23—791no—
1893C23—6321no—
1894C23—6321no—
1895C23—6321no—
1896C23—6321no—
1897C23—6321no—
1898C23—6321no—
1899C23—6321no—
1900C23—6321no—
1901C23—6321no—
1902C23—6321no—
1903C23—6321no—
1904C23—63216no—
1905C23—1582no—
1906C23—1584no—
1907C23—1581no—
1908C23—1581no—
1909C23—1581no—
1910C23C2×D4×D7911yescharacteristic
1911C23C2×D4×D7911yescharacteristic
1912Q8—21no—
1913Q8—3162no—
1914Q8—3162no—
1915Q8—792no—
1916Q8—1582no—
1917Q8—1584no—
1918Q8—1581no—
1919Q8—1581no—
1920Q8—1581no—
1921Q8—1581no—
1922Q8—1581no—
1923Q8C2×D4×D7912yes—
1924D4—21no—
1925D4—21no—
1926D4—21no—
1927D4—21no—
1928D4—21no—
1929D4—21no—
1930D4—21no—
1931D4—21no—
1932D4—21no—
1933D4—41no—
1934D4—42no—
1935D4—42no—
1936D4—42no—
1937D4—42no—
1938D4—42no—
1939D4—81no—
1940D4—81no—
1941D4—81no—
1942D4—81no—
1943D4—81no—
1944D4—81no—
1945D4—81no—
1946D4—3162no—
1947D4—3162no—
1948D4—3161no—
1949D4—3162no—
1950D4—3162no—
1951D4—3162no—
1952D4—3162no—
1953D4—3162no—
1954D4—3162no—
1955D4—3162no—
1956D4—3162no—
1957D4—3162no—
1958D4—3161no—
1959D4—3161no—
1960D4—3162no—
1961D4—3162no—
1962D4—3162no—
1963D4—3162no—
1964D4—792no—
1965D4—6321no—
1966D4—6321no—
1967D4—6321no—
1968D4—6321no—
1969D4—6321no—
1970D4—6321no—
1971D4—6321no—
1972D4—6321no—
1973D4—6321no—
1974D4—6321no—
1975D4—6321no—
1976D4—1582no—
1977D4—1584no—
1978D4—1582no—
1979D4—1582no—
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—42no—
1994C2×C4—42no—
1995C2×C4—81no—
1996C2×C4—3162no—
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—791no—
2007C2×C4—792no—
2008C2×C4—792no—
2009C2×C4—791no—
2010C2×C4—791no—
2011C2×C4—791no—
2012C2×C4—791no—
2013C2×C4—6321no—
2014C2×C4—6321no—
2015C2×C4—6321no—
2016C2×C4—1582no—
2017C2×C4—1582no—
2018C2×C4—1584no—
2019C2×C4—1581no—
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—41no—
2061C22—41no—
2062C22—41no—
2063C22—84no—
2064C22—162no—
2065C22—3164no—
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—3161no—
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—81no—
2118C2—3161no—
2119C2—3162no—
2120C2—3161no—
2121C2—6321no—
2122C2—6321no—
2123C2—1582no—
2124C2D42×D7911yescharacteristic
2125C2#2377817511yescharacteristic
2126C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3274C2
socleC22×C79C23×D4
hypercenter#3274D79
hypocenterC79#61059
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3274

Complements

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

NH ≅ G/Ntype
1. C2×#19099373C2semidirect
2. C2×AGL(1,ℤ/8)×D79C2semidirect
3. #23777053C2semidirect
4. #23777028C2semidirect
5. #23775038C2semidirect
6. #23775036C2semidirect
7. #23775033C2semidirect
8. #23775031C2semidirect
9. #23775019C2semidirect
10. #23775017C2semidirect
11. #23775014C2semidirect
12. #23774946C2semidirect
13. #23774941C2semidirect
14. #23774938C2semidirect
15. #23774933C2semidirect
16. #23774899C2semidirect
17. #23774898C2semidirect
18. #23774891C2semidirect
19. #23774890C2semidirect
20. #23773880C2semidirect
21. #23773046C2semidirect
22. #23773007C2semidirect
23. #23772916C2semidirect
24. #23772898C2semidirect
25. #23772683C2semidirect
26. #23772663C2semidirect
27. #23772638C2semidirect
28. #23772624C2semidirect
29. #23772254C2semidirect
30. #23772100C2semidirect
31. C79×#3274C2semidirect
32. C2×#14579208C22semidirect
34. C2×#41×D79C22semidirect
37. C2×#14579194C22semidirect
38. C2×#14579190C22semidirect
39. C2×#14579190C22semidirect
40. C2×#14579189C22semidirect
41. C2×#14579188C22semidirect
42. C2×#14579188C22semidirect
43. C2×#14579187C22semidirect
44. C2×#14579186C22semidirect
46. C2×#14579185C22semidirect
47. C2×#14579185C22semidirect
48. C2×#14579185C22semidirect
49. C2×#14579185C22semidirect
50. C2×#14579185C22semidirect
52. C2×#14579181C22semidirect
53. C2×#14579180C22semidirect
54. C2×#14579180C22semidirect
55. C22×#11929612C22semidirect
57. C2×SD16×D79C22semidirect
58. C2×SD16×D79C22semidirect
60. C2×D8×D79C22semidirect
61. C2×#14579169C22semidirect
62. C2×M16×D79C22semidirect
64. #19099233C22semidirect
65. #19099232C22semidirect
67. #19099231C22semidirect
68. #19099225C22semidirect
70. #19099222C22semidirect
71. #19099220C22semidirect
73. #19099219C22semidirect
74. #19099210C22semidirect
75. #19099209C22semidirect
76. #19099208C22semidirect
77. #19099207C22semidirect
80. #19099198C22semidirect
81. #19099197C22semidirect
83. D4×C22⋊D79C22semidirect
87. #19099129C22semidirect
90. #19099126C22semidirect
95. #19099073C22semidirect
100. #19099039C22semidirect
102. #19098951C22semidirect
103. #19098951C22semidirect
104. #19098950C22semidirect
105. #19098950C22semidirect
106. #19098947C22semidirect
107. #19098946C22semidirect
108. #19098938C22semidirect
109. #19098822C22semidirect
110. #19098821C22semidirect
111. #19098817C22semidirect
112. #19098816C22semidirect
113. #19098813C22semidirect
114. #19098813C22semidirect
115. #19098808C22semidirect
116. #19098808C22semidirect
117. #19098807C22semidirect
118. #19098807C22semidirect
119. #19098798C22semidirect
120. #19098798C22semidirect
121. #19098797C22semidirect
122. #19098797C22semidirect
123. #19098786C22semidirect
124. #19098785C22semidirect
125. #19098784C22semidirect
126. #19098783C22semidirect
127. #19098779C22semidirect
128. #19098778C22semidirect
129. #19098777C22semidirect
130. #19098776C22semidirect
131. #19098762C22semidirect
132. #19098761C22semidirect
133. #19098760C22semidirect
134. #19098757C22semidirect
135. #19098756C22semidirect
136. #19098755C22semidirect
137. #19098728C22semidirect
138. #19098727C22semidirect
139. #19098726C22semidirect
140. #19098725C22semidirect
141. #19098716C22semidirect
142. #19098715C22semidirect
143. #19098715C22semidirect
144. #19098714C22semidirect
145. #19098710C22semidirect
146. #19098709C22semidirect
147. #19098709C22semidirect
148. #19098708C22semidirect
149. #19098707C22semidirect
150. #19098706C22semidirect
151. #19098706C22semidirect
152. #19098705C22semidirect
153. #19098705C22semidirect
154. #19098705C22semidirect
155. #19098704C22semidirect
156. #19098703C22semidirect
157. #19098701C22semidirect
158. #19098700C22semidirect
159. #19098698C22semidirect
160. #19098697C22semidirect
161. #19098696C22semidirect
162. #19098695C22semidirect
163. #19098695C22semidirect
164. #19098695C22semidirect
165. #19098666C22semidirect
166. #19098663C22semidirect
167. #19098661C22semidirect
168. #19098660C22semidirect
169. C4×#11929613C22semidirect
170. SD16×Dic79C22semidirect
171. #19098650C22semidirect
172. #19098642C22semidirect
173. #19098639C22semidirect
174. #19098639C22semidirect
175. #19098637C22semidirect
176. #19098635C22semidirect
177. #19098633C22semidirect
178. #19098631C22semidirect
179. #19098598C22semidirect
180. #19098588C22semidirect
181. #19098570C22semidirect
183. #19098566C22semidirect
184. #19098566C22semidirect
185. #19098556C22semidirect
186. #19098556C22semidirect
187. #19098528C22semidirect
188. #19098525C22semidirect
189. #19098517C22semidirect
190. C2×AGL(1,ℤ/8)×C79C22semidirect
191. C2×AGL(1,ℤ/8)×C79C22semidirect
192. #550×C79C22semidirect
193. D42×C79C22semidirect
194. #493×C79C22semidirect
195. #469×C79C22semidirect
196. #469×C79C22semidirect
197. #460×C79C22semidirect
198. #459×C79C22semidirect
199. #449×C79C22semidirect
200. #449×C79C22semidirect
201. #447×C79C22semidirect
202. #447×C79C22semidirect
203. C4×SD16×C79C22semidirect
204. #436×C79C22semidirect
224. C2×#11929623C23semidirect
228. C22×Dic158C23semidirect
230. C2×Q8×D79C23semidirect
269. C2×Dic316C23semidirect
270. C2×Dic316C23semidirect
271. C2×#11929614C23semidirect
276. C2×#11929613C23semidirect
282. C2×#11929612C23semidirect
283. C2×#11929612C23semidirect
284. C2×#11929612C23semidirect
285. C2×#11929612C23semidirect
290. SD16×D79D4semidirect
299. C2×#11929609C23semidirect
308. C2×#11929607C23semidirect
310. C22×C79⋊C8C23semidirect
313. C2×C8×D79C23semidirect
320. #14579157C23semidirect
323. #14579149C23semidirect
326. #14579148C23semidirect
351. #14579136C23semidirect
355. #14579135C23semidirect
379. #14579132C23semidirect
402. Q8×Dic79C23semidirect
404. C4×Dic158C23semidirect
406. #14579126C23semidirect
437. #14579094C23semidirect
438. #14579094C23semidirect
439. #14579093C23semidirect
440. C4⋊(C79⋊C8)C23semidirect
441. Dic79⋊C8C23semidirect
442. Dic79⋊C8C23semidirect
443. #14579086C23semidirect
444. #14579086C23semidirect
445. #14579086C23semidirect
446. #14579085C23semidirect
447. #14579084C23semidirect
448. #14579084C23semidirect
449. #14579084C23semidirect
452. #14579083C23semidirect
455. #14579082C23semidirect
456. #14579082C23semidirect
457. #14579082C23semidirect
460. #14579081C23semidirect
462. C22⋊(C79⋊C8)C23semidirect
465. (C2×D79)⋊C8C23semidirect
466. (C2×D79)⋊C8C23semidirect
467. #14579072C23semidirect
468. #14579071C23semidirect
469. C8×Dic79C23semidirect
471. C2×#41×C79C23semidirect
479. C2×SD16×C79C23semidirect
484. C2×D8×C79C23semidirect
485. C2×D8×C79C23semidirect
487. C2×M16×C79C23semidirect
490. #127×C79C23semidirect
497. #121×C79C23semidirect
500. C4×Q8×C79C23semidirect
504. #106×C79C23semidirect
505. C4⋊C8×C79C23semidirect
506. #103×C79C23semidirect
509. #102×C79C23semidirect
510. #102×C79C23semidirect
511. #102×C79C23semidirect
513. C22⋊C8×C79C23semidirect
514. C4×C8×C79C23semidirect
563. Q8×D79C2×D4semidirect
654. #11929613C2×D4semidirect
662. #11929612C2×D4semidirect
664. #11929611C2×D4semidirect
687. C8×D79C2×D4semidirect
778. SD16×C79C2×D4semidirect
1075. #3274D79semidirect
1095. C79#61059semidirect
1116. C2×AGL(1,ℤ/8)C2×D79semidirect
1117. C2×AGL(1,ℤ/8)C2×D79semidirect
1134. #550C2×D79semidirect
1152. D42C2×D79semidirect
1177. #493C2×D79semidirect
1184. #469C2×D79semidirect
1185. #469C2×D79semidirect
1205. #460C2×D79semidirect
1209. #459C2×D79semidirect
1228. #449C2×D79semidirect
1229. #449C2×D79semidirect
1240. #447C2×D79semidirect
1241. #447C2×D79semidirect
1249. C4×SD16C2×D79semidirect
1253. #436C2×D79semidirect
1292. C2×#41C22×D79semidirect
1364. C2×SD16C22×D79semidirect
1380. C2×D8C22×D79semidirect
1381. C2×D8C22×D79semidirect
1391. C2×M16C22×D79semidirect
1405. #127C22×D79semidirect
1471. #121C22×D79semidirect
1501. C4×Q8C22×D79semidirect
1538. #106C22×D79semidirect
1542. C4⋊C8C22×D79semidirect
1550. #103C22×D79semidirect
1564. #102C22×D79semidirect
1565. #102C22×D79semidirect
1566. #102C22×D79semidirect
1574. C22⋊C8C22×D79semidirect
1578. C4×C8C22×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×#190993732
C2×AGL(1,ℤ/8)×D792
#237770532
#237770282
#237750382
#237750362
#237750332
#237750312
#237750192
#237750172
#237750142
#237749462
#237749412
#237749382
#237749332
#237748992
#237748982
#237748912
#237748902
#237738802
#237730462
#237730072
#237729162
#237728982
#237726832
#237726632
#237726382
#237726242
#237722542
#237721002
C79×#32742
#6105979