Finite Group Databasebeta

← #35171343

Subgroups — #35171343

Order 20224.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777416C211yesmaximal, characteristic, complemented
2#23777329C211yesmaximal, characteristic, complemented
3#23776463C211yesmaximal, characteristic, complemented
4#23776305C211yesmaximal, characteristic, complemented
5#23776228C211yesmaximal, characteristic, complemented
6#23776211C211yesmaximal, characteristic, complemented
7#23775982C211yesmaximal, characteristic, complemented
8#23775928C211yesmaximal, characteristic, complemented
9#23775900C211yesmaximal, characteristic, complemented
10#23775674C211yesmaximal, characteristic, complemented
11#23775627C211yesmaximal, characteristic, complemented
12#23775573C211yesmaximal, characteristic, complemented
13#23775432C211yesmaximal, characteristic, complemented
14#23775397C211yesmaximal, characteristic, complemented
15#23775029C211yesmaximal, characteristic, complemented
16#23774906C211yesmaximal, characteristic, complemented
17#23774899C211yesmaximal, characteristic, complemented
18#23774086C211yesmaximal, characteristic, complemented
19#23774034C211yesmaximal, characteristic, complemented
20#23774009C211yesmaximal, characteristic, complemented
21#23773687C211yesmaximal, characteristic, complemented
22#23773655C211yesmaximal, characteristic, complemented
23#23773632C211yesmaximal, characteristic, complemented
24#23773577C211yesmaximal, characteristic, complemented
25#23773506C211yesmaximal, characteristic, complemented
26#23773501C211yesmaximal, characteristic, complemented
27#23772382C211yesmaximal, characteristic, complemented
28#23772262C211yesmaximal, characteristic, complemented
29#23772246C211yesmaximal, characteristic, complemented
30#23772211C211yesmaximal, characteristic, complemented
31C79×#3319C211yesmaximal, characteristic, complemented
32C2×#14579191C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C22×#11929612C2211yescharacteristic
35#19099295C2211yescharacteristic
36#19099293C2211yescharacteristic, complemented
37#19099283C2211yescharacteristic, complemented
38#19099282—21no—
39#19099282—21no—
40#19099281—21no—
41#19099281C2211yescharacteristic
42#19099281C2211yescharacteristic, complemented
43#19099277—21no—
44#19099272C2211yescharacteristic
45#19099259C2211yescharacteristic
46#19099256—21no—
47#19099247C2211yescharacteristic
48#19099239—21no—
49#19099236—21no—
50D4×Dic158C2211yescharacteristic, complemented
51#19099219C2211yescharacteristic
52#19099219C2211yescharacteristic, complemented
53#19099213C2211yescharacteristic
54#19099201C2211yescharacteristic
55#19099200—21no—
56D4×C22⋊D79C2211yescharacteristic
57#19099186C2211yescharacteristic
58#19099180C2211yescharacteristic, complemented
59#19099180C2211yescharacteristic, complemented
60#19099177—21no—
61#19099177—21no—
62#19099166C2211yescharacteristic
63#19099157—21no—
64#19099148—21no—
65#19099118C2211yescharacteristic, complemented
66#19099116—21no—
67#19099095C2211yescharacteristic
68#19099094—21no—
69#19099092C2211yescharacteristic
70#19099073—21no—
71C2×#14579143—21no—
72#19099046C2211yescharacteristic
73#19099040C2211yescharacteristic, complemented
74#19099040C2211yescharacteristic, complemented
75#19099038C2211yescharacteristic
76C4×#11929623C2211yescharacteristic, complemented
77C4×D4×D79C2211yescharacteristic
78#19098971C2211yescharacteristic, complemented
79#19098969C2211yescharacteristic, complemented
80#19098967C2211yescharacteristic, complemented
81#19098958C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic
83#19098944C2211yescharacteristic, complemented
84#19098932C2211yescharacteristic, complemented
85#19098924C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098916C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic
89#19098905C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098900C2211yescharacteristic, complemented
92#19098900C2211yescharacteristic, complemented
93#19098899C2211yescharacteristic, complemented
94#19098887C2211yescharacteristic
95#19098887C2211yescharacteristic, complemented
96#19098885C2211yescharacteristic
97#19098884C2211yescharacteristic, complemented
98#19098874C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098871C2211yescharacteristic, complemented
101#19098869C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098857C2211yescharacteristic, complemented
104#19098856C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic
106#19098847C2211yescharacteristic, complemented
107#19098841C2211yescharacteristic
108#19098841C2211yescharacteristic, complemented
109#19098840C2211yescharacteristic, complemented
110#19098820C2211yescharacteristic, complemented
111#19098820C2211yescharacteristic, complemented
112#19098814C2211yescharacteristic, complemented
113#19098809C2211yescharacteristic
114#19098808C2211yescharacteristic
115#19098808C2211yescharacteristic
116#19098807C2211yescharacteristic, complemented
117#19098802C2211yescharacteristic, complemented
118#19098797C2211yescharacteristic
119#19098792C2211yescharacteristic, complemented
120#19098788C2211yescharacteristic, complemented
121#19098788C2211yescharacteristic, complemented
122#19098783C2211yescharacteristic, complemented
123#19098782C2211yescharacteristic, complemented
124#19098776C2211yescharacteristic
125#19098776C2211yescharacteristic
126#19098776C2211yescharacteristic, complemented
127#19098769C2211yescharacteristic, complemented
128#19098768C2211yescharacteristic
129#19098762C2211yescharacteristic
130#19098762C2211yescharacteristic
131#19098725C2211yescharacteristic
132#19098722C2211yescharacteristic, complemented
133#19098718C2211yescharacteristic, complemented
134#19098715C2211yescharacteristic
135#19098715C2211yescharacteristic
136#19098714C2211yescharacteristic
137#19098705C2211yescharacteristic
138#19098704C2211yescharacteristic
139#19098704C2211yescharacteristic, complemented
140#19098701C2211yescharacteristic, complemented
141#19098692C2211yescharacteristic, complemented
142#19098691C2211yescharacteristic, complemented
143#19098675C2211yescharacteristic, complemented
144#19098673C2211yescharacteristic, complemented
145#19098667C2211yescharacteristic, complemented
146#19098667C2211yescharacteristic, complemented
147#19098665C2211yescharacteristic, complemented
148#19098664C2211yescharacteristic, complemented
149#19098663C2211yescharacteristic
150#19098662C2211yescharacteristic, complemented
151#19098662C2211yescharacteristic, complemented
152#19098660C2211yescharacteristic
153#19098660C2211yescharacteristic
154#19098660C2211yescharacteristic
155#19098660C2211yescharacteristic
156#19098660C2211yescharacteristic, complemented
157#19098660C2211yescharacteristic, complemented
158#19098655C2211yescharacteristic, complemented
159#19098655C2211yescharacteristic, complemented
160#19098655C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic
162#19098654C2211yescharacteristic
163#19098654C2211yescharacteristic
164#19098654C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166#19098654C2211yescharacteristic, complemented
167#19098650C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic
169#19098643C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic
171#19098638C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic
175#19098621C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098619C2211yescharacteristic, complemented
178#19098606C2211yescharacteristic, complemented
179#19098602C2211yescharacteristic, complemented
180#19098599C2211yescharacteristic, complemented
181#19098573C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098561C2211yescharacteristic, complemented
184C2×#14579086C2211yescharacteristic, complemented
185#19098521C2211yescharacteristic, complemented
186#19098518C2211yescharacteristic, complemented
187#19098515C2211yescharacteristic, complemented
188#555×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic
194#468×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic
199#442×C79C2211yescharacteristic
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic
202#416×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C22×C22⋊D79—21no—
208C2×D4×D79C2311yescharacteristic
209C22×C4×D79—21no—
210#14579191—24no—
211#14579185—24no—
212C2×#11929614C2311yescharacteristic
213C2×#11929614C2311yescharacteristic
214C2×#11929614C2311yescharacteristic
215C2×#11929613C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929612—24no—
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929608C2311yescharacteristic
227C2×#11929607C2311yescharacteristic
228C2×#11929607C2311yescharacteristic
229C22×C79⋊C8C2311yescharacteristic
230#14579161C2311yescharacteristic
231#14579160—21no—
232#14579160—21no—
233#14579160C2311yescharacteristic
234#14579160C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579159—21no—
237#14579159—21no—
238#14579157C2311yescharacteristic
239#14579156—21no—
240#14579156—21no—
241#14579155—21no—
242#14579155—21no—
243#14579154—21no—
244#14579154—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154D411yescharacteristic
252#14579154D411yescharacteristic
253#14579153C2311yescharacteristic
254#14579152—21no—
255#14579152D411yescharacteristic
256#14579152C2311yescharacteristic
257#14579151—21no—
258#14579150C2311yescharacteristic
259#14579148—21no—
260#14579148—21no—
261#14579148D411yescharacteristic
262#14579148C2311yescharacteristic
263#14579148C2311yescharacteristic
264#14579147—21no—
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147—21no—
270#14579145—21no—
271#14579145—21no—
272#14579144—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143D411yescharacteristic
281#14579143D411yescharacteristic
282#14579142—21no—
283#14579142—21no—
284#14579142—21no—
285#14579141—21no—
286#14579141D411yescharacteristic
287#14579141C2311yescharacteristic
288#14579141C2311yescharacteristic
289#14579140—21no—
290#14579140—21no—
291#14579140C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579137—21no—
303#14579137C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579132—21no—
313#14579132D411yescharacteristic
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579129—21no—
317#14579129—21no—
318Q8×Dic79—21no—
319Q8×Dic79C2311yescharacteristic
320Q8×Dic79C2311yescharacteristic
321C4×Dic158—21no—
322C4×Dic158—21no—
323C4×Dic158—21no—
324C4×Dic158—21no—
325C4×Dic158—21no—
326C4×Dic158—21no—
327C4×Dic158C2311yescharacteristic
328C4×Dic158C2311yescharacteristic
329#14579126—21no—
330#14579126C2311yescharacteristic
331#14579126C2311yescharacteristic
332#14579126C2311yescharacteristic
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335#14579126C2311yescharacteristic
336#14579126C2311yescharacteristic
337C4×D316C2311yescharacteristic
338D4×Dic79—21no—
339D4×Dic79—21no—
340D4×Dic79—21no—
341D4×Dic79—21no—
342D4×Dic79—21no—
343D4×Dic79—21no—
344D4×Dic79—21no—
345D4×Dic79C2311yescharacteristic
346D4×Dic79C2311yescharacteristic
347D4×Dic79C2311yescharacteristic
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic
350D4×Dic79C2311yescharacteristic
351#14579123C2311yescharacteristic
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79C2311yescharacteristic
355C4×C22⋊D79C2311yescharacteristic
356(C22⋊D79)⋊C4—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361#14579120—21no—
362#14579120—21no—
363#14579120C2311yescharacteristic
364#14579120C2311yescharacteristic
365#14579120C2311yescharacteristic
366#14579119—21no—
367#14579119—21no—
368#14579119C2311yescharacteristic
369#14579117—21no—
370#14579117—21no—
371#14579117—21no—
372#14579117—21no—
373#14579117—21no—
374#14579117—21no—
375C2×C4⋊Dic79—21no—
376C2×C4⋊Dic79C2311yescharacteristic
377C2×Dic79⋊C4—21no—
378C4⋊C4×D79C2311yescharacteristic
379C2×C22⋊Dic79—21no—
380C2×C22⋊Dic79—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C2×C4×Dic79—21no—
384C42×D79C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579095C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79C2311yescharacteristic
439C22×D4×C79C2311yescharacteristic
440C2×SD16×C79C2311yescharacteristic
441C2×D8×C79C2311yescharacteristic
442C2×D8×C79C2311yescharacteristic
443C2×M16×C79C2311yescharacteristic
444C22×C8×C79C2311yescharacteristic
445C4⋊Q8×C79C2311yescharacteristic
446#124×C79—21no—
447#124×C79—21no—
448#124×C79C2311yescharacteristic
449#123×C79—21no—
450C22⋊Q8×C79C2311yescharacteristic
451#121×C79—21no—
452#121×C79—21no—
453#121×C79C2311yescharacteristic
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#120×C79—21no—
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460#117×C79—21no—
461#117×C79C2311yescharacteristic
462#117×C79C2311yescharacteristic
463C2×C22⋊C4×C79—21no—
464#107×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#103×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481C23×D79—21no—
482#11929623—22no—
483#11929623—41no—
484#11929623—82no—
485C2×Dic158—22no—
486C2×Dic158—22no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—41no—
493C2×Dic158—41no—
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×D316C2411yescharacteristic
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—82no—
507C2×C22⋊D79C2×D411yescharacteristic
508C2×C22⋊D79C2×D411yescharacteristic
509D4×D79—22no—
510D4×D79—41no—
511C22×Dic79—21no—
512C22×Dic79—21no—
513C22×Dic79—21no—
514C22×Dic79—21no—
515C22×Dic79—21no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79—82no—
525C2×C4×D79C2×D411yescharacteristic
526C2×C4×D79C2×D411yescharacteristic
527C2×C4×D79C2411yescharacteristic
528#11929614—22no—
529#11929614—22no—
530#11929614—41no—
531#11929613—22no—
532#11929613—41no—
533#11929613—41no—
534#11929612—22no—
535#11929612—22no—
536#11929612—22no—
537#11929612—22no—
538#11929612—41no—
539#11929612#4114yescomplemented
540#11929609—22no—
541#11929608—22no—
542#11929607—22no—
543#11929607—41no—
544C2×C79⋊C8—22no—
545C2×C79⋊C8C2411yescharacteristic
546C2×C79⋊C8C2411yescharacteristic
547C2×C79⋊C8C2411yescharacteristic
548C2×C79⋊C8C2411yescharacteristic
549C4⋊Dic79—21no—
550C4⋊Dic79—21no—
551C4⋊Dic79—21no—
552C4⋊Dic79—21no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79C2×D411yescharacteristic
558C4⋊Dic79C2×D411yescharacteristic
559C4⋊Dic79C2×D411yescharacteristic
560C4⋊Dic79C2×D411yescharacteristic
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2411yescharacteristic
563C4⋊Dic79C2411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79C2×D411yescharacteristic
603C22⋊Dic79C2×D411yescharacteristic
604C22⋊Dic79C2×D411yescharacteristic
605C22⋊Dic79C2×D411yescharacteristic
606C22⋊Dic79C2×D411yescharacteristic
607C22⋊Dic79C2×D411yescharacteristic
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4C2×D411yescharacteristic
619(C2×D79)⋊C4C2×D411yescharacteristic
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79—21no—
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79C2×D411yescharacteristic
633C4×Dic79C2×D411yescharacteristic
634C4×Dic79C2411yescharacteristic
635C4×Dic79C2411yescharacteristic
636C4×Dic79C2411yescharacteristic
637C24×C79—21no—
638#41×C79—22no—
639#41×C79—41no—
640C2×Q8×C79—21no—
641C2×Q8×C79C2411yescharacteristic
642C2×D4×C79—22no—
643C2×D4×C79—21no—
644C2×D4×C79—21no—
645C2×D4×C79—21no—
646C2×D4×C79—21no—
647C2×D4×C79—21no—
648C2×D4×C79—41no—
649C2×D4×C79C2×D411yescharacteristic
650C2×D4×C79C2411yescharacteristic
651C2×D4×C79C2411yescharacteristic
652C2×D4×C79C2411yescharacteristic
653C22×C4×C79—21no—
654C22×C4×C79—21no—
655C22×C4×C79—21no—
656C22×C4×C79C2411yescharacteristic
657C22×C4×C79C2411yescharacteristic
658SD16×C79—41no—
659D8×C79—22no—
660D8×C79—41no—
661M16×C79—41no—
662C2×C8×C79—41no—
663C2×C8×C79C2411yescharacteristic
664C2×C8×C79C2411yescharacteristic
665C2×C8×C79C2411yescharacteristic
666C2×C8×C79C2411yescharacteristic
667C4⋊C4×C79—21no—
668C4⋊C4×C79—21no—
669C4⋊C4×C79C2×D411yescharacteristic
670C4⋊C4×C79C2411yescharacteristic
671C4⋊C4×C79C2411yescharacteristic
672C4⋊C4×C79C2411yescharacteristic
673C4⋊C4×C79C2411yescharacteristic
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C22⋊C4×C79—21no—
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79C2×D411yescharacteristic
685C22⋊C4×C79C2×D411yescharacteristic
686C42×C79—21no—
687C42×C79—21no—
688C42×C79C2411yescharacteristic
689C23×C79—21no—
690C23×C79—21no—
691C23×C79—21no—
692C23×C79—42no—
693C23×C79—81no—
694C23×C79—81no—
695C23×C79C22×D411yescharacteristic
696C23×C79C22×D411yescharacteristic
697C22×D79—21no—
698C22×D79—42no—
699C22×D79—42no—
700C22×D79—81no—
701C22×D79C22×D411yescharacteristic
702Q8×C79—21no—
703Q8×C79—21no—
704Q8×C79—81no—
705D4×C79—21no—
706D4×C79—21no—
707D4×C79—21no—
708D4×C79—21no—
709D4×C79—21no—
710D4×C79—41no—
711D4×C79—42no—
712D4×C79—42no—
713D4×C79—81no—
714D4×C79—81no—
715D4×C79—81no—
716D4×C79C2×#4112yes—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—42no—
727C2×C4×C79—42no—
728C2×C4×C79—81no—
729C2×C4×C79C22×D411yescharacteristic
730C2×C4×C79C22×D411yescharacteristic
731C2×C4×C79C22×D411yescharacteristic
732C2×C4×C79C22×D411yescharacteristic
733C2×C4×C79C2511yescharacteristic
734C22⋊D79—41no—
735C22⋊D79—41no—
736C22⋊D79—42no—
737C22⋊D79—42no—
738C22⋊D79—42no—
739C22⋊D79—81no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—42no—
751C2×Dic79—42no—
752C2×Dic79—42no—
753C2×Dic79—81no—
754C2×Dic79—81no—
755C2×Dic79—81no—
756C2×Dic79—81no—
757C2×Dic79—81no—
758C2×Dic79—81no—
759C2×Dic79—81no—
760C2×Dic79C22×D411yescharacteristic
761C2×Dic79C22×D411yescharacteristic
762C2×Dic79C22×D411yescharacteristic
763C2×Dic79C22×D411yescharacteristic
764C2×Dic79C22×D411yescharacteristic
765C2×Dic79C22×D411yescharacteristic
766C2×Dic79C22×D411yescharacteristic
767D316—21no—
768D316—21no—
769C4×D79—21no—
770C4×D79—21no—
771C4×D79—41no—
772C4×D79—41no—
773C4×D79—42no—
774C4×D79—81no—
775C4×D79—81no—
776Dic158—21no—
777Dic158—21no—
778Dic158—21no—
779Dic158—21no—
780Dic158—21no—
781Dic158—41no—
782Dic158—42no—
783Dic158—42no—
784Dic158—81no—
785Dic158—81no—
786Dic158—81no—
787Dic158C2×#4112yes—
788C8×C79—21no—
789C8×C79—21no—
790C8×C79—21no—
791C8×C79—21no—
792C79⋊C8—21no—
793C79⋊C8—21no—
794C79⋊C8—21no—
795C79⋊C8C2×#4112yes—
796C22×C79—21no—
797C22×C79—21no—
798C22×C79—21no—
799C22×C79—21no—
800C22×C79—22no—
801C22×C79—21no—
802C22×C79—21no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—162no—
812C22×C79C23×D411yescharacteristic
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—84no—
820C4×C79—21no—
821C4×C79—21no—
822C4×C79—21no—
823C4×C79—21no—
824C4×C79—41no—
825C4×C79—41no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79C22×#4111yescharacteristic
830C4×C79#58511yescharacteristic
831Dic79—21no—
832Dic79—21no—
833Dic79—21no—
834Dic79—21no—
835Dic79—21no—
836Dic79—21no—
837Dic79—21no—
838Dic79—22no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845#61503—791nomaximal, Sylow
846C2×C79—42no—
847C2×C79—41no—
848C2×C79—41no—
849C2×C79—81no—
850C2×C79—81no—
851C2×C79D4×#4111yescharacteristic
852C2×C79#358511yescharacteristic
853C2×C79#358611yescharacteristic
854D79—41no—
855D79—81no—
856#3518—791no—
857#3513—791no—
858#3401—791no—
859#3385—791no—
860#3376—791no—
861#3375—791no—
862#3353—791no—
863#3349—791no—
864#3347—791no—
865#3327—791no—
866#3324—791no—
867#3320—791no—
868#3319D7911yescharacteristic, complemented
869#3311—791no—
870#3308—791no—
871#3275—791no—
872#3266—791no—
873#3265—791no—
874#3179—791no—
875#3175—791no—
876#3172—791no—
877#3126—791no—
878#3124—791no—
879#3121—791no—
880#3118—791no—
881#3111—791no—
882#3110—791no—
883#2967—791no—
884#2949—791no—
885#2947—791no—
886C4×AGL(1,ℤ/8)—791no—
887C79#6150311yescharacteristic, complemented, Sylow
888C2×#137—791no—
889C2×AGL(1,ℤ/8)—791no—
890C22×SD16—791no—
891#559—791no—
892Q82—791no—
893#556—791no—
894#556—791no—
895#556—791no—
896#556—1581no—
897#556—1581no—
898#556—1581no—
899#555—1581no—
900#555C2×D7911yescharacteristic, complemented
901#554—791no—
902#553—791no—
903#553—1581no—
904#552—791no—
905#551—1581no—
906#551—1581no—
907D4×Q8—791no—
908#548—791no—
909#548—791no—
910#547—791no—
911#546—791no—
912#546—1581no—
913#546C2×D7911yescharacteristic
914D42—791no—
915#542—791no—
916#542—791no—
917#542—791no—
918#542—1581no—
919#542—1581no—
920#540—791no—
921#539—1581no—
922#538—1581no—
923#533—791no—
924#533—1581no—
925#529—791no—
926#529—791no—
927#529—1581no—
928#525—1581no—
929C2×#123—1581no—
930#520—791no—
931#519—791no—
932#519—791no—
933#518—791no—
934C4×#41—791no—
935C2×C4×D4—791no—
936#501—791no—
937#501—791no—
938#500—791no—
939#497—791no—
940#496—791no—
941#495—791no—
942#491—791no—
943#489—791no—
944#489—791no—
945#489C2×D7911yescharacteristic, complemented
946#488—791no—
947#486—791no—
948#485—791no—
949#485—791no—
950#485C2×D7911yescharacteristic, complemented
951#484—791no—
952#484—791no—
953#484—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482C2×D7911yescharacteristic, complemented
959#480—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#478—791no—
964#477—791no—
965#477—791no—
966#476—791no—
967#475—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#474C2×D7911yescharacteristic
972#470—791no—
973#470—791no—
974#469—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#468C2×D7911yescharacteristic, complemented
980#467—791no—
981#466—791no—
982#466C2×D7911yescharacteristic, complemented
983#465—791no—
984#464—791no—
985#464—791no—
986#464—791no—
987#464—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#463C2×D7911yescharacteristic, complemented
992#461—791no—
993#461—791no—
994#460—791no—
995#460—791no—
996#452—791no—
997#452—791no—
998#451—791no—
999#450—791no—
1000#450—791no—
1001#450—791no—
1002#449—791no—
1003#449C2×D7911yescharacteristic
1004#448—791no—
1005#448—791no—
1006#448—791no—
1007#447C2×D7911yescharacteristic
1008#446—791no—
1009#446—791no—
1010#442—791no—
1011#442—791no—
1012#442C2×D7911yescharacteristic
1013#441—791no—
1014#441—791no—
1015#440—791no—
1016#440—791no—
1017#440—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440—791no—
1025#440—791no—
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×SD16—791no—
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×D8—791no—
1037C4×D8—791no—
1038#436—791no—
1039#436—791no—
1040#435—791no—
1041#435—791no—
1042#435—791no—
1043#435C2×D7911yescharacteristic, complemented
1044#433—791no—
1045#433—791no—
1046#432—791no—
1047#428—791no—
1048#428—791no—
1049#427—791no—
1050#419—791no—
1051#418—791no—
1052#418C2×D7911yescharacteristic
1053#417—791no—
1054#416C2×D7911yescharacteristic
1055C2×#103—791no—
1056#405—791no—
1057#405—791no—
1058C4×M16—791no—
1059C2×#41—791no—
1060C2×#41—1581no—
1061C2×#41C22×D7911yescharacteristic
1062C22×Q8—791no—
1063C22×Q8—791no—
1064C22×D4—791no—
1065C22×D4—1581no—
1066C22×D4C22×D7911yescharacteristic
1067C23×C4—1581no—
1068#137—1584no—
1069AGL(1,ℤ/8)—1584no—
1070C2×Q16—791no—
1071C2×Q16—791no—
1072C2×Q16—791no—
1073C2×SD16—791no—
1074C2×SD16—791no—
1075C2×SD16—791no—
1076C2×SD16—791no—
1077C2×SD16—791no—
1078C2×SD16—791no—
1079C2×SD16—791no—
1080C2×SD16—791no—
1081C2×SD16—791no—
1082C2×SD16—1584no—
1083C2×SD16C22×D7911yescharacteristic
1084C2×D8—791no—
1085C2×D8C22×D7911yescharacteristic
1086C2×D8C22×D7911yescharacteristic
1087C2×M16—791no—
1088C2×M16—791no—
1089C2×M16—791no—
1090C2×M16C22×D7911yescharacteristic
1091C22×C8—791no—
1092C22×C8C22×D7911yescharacteristic
1093C4⋊Q8—791no—
1094C4⋊Q8—791no—
1095C4⋊Q8—791no—
1096C4⋊Q8—791no—
1097C4⋊Q8—1581no—
1098C4⋊Q8—1581no—
1099C4⋊Q8—1581no—
1100C4⋊Q8—1581no—
1101C4⋊Q8C22×D7911yescharacteristic
1102#127—791no—
1103#126—791no—
1104#126—791no—
1105#126—1581no—
1106#126—1581no—
1107#126—1581no—
1108#126—1581no—
1109#126—1581no—
1110#126—1581no—
1111#126—1581no—
1112#126—1581no—
1113#126—1581no—
1114#126—1581no—
1115#126—1581no—
1116#126—1581no—
1117#125—791no—
1118#125—791no—
1119#125—791no—
1120#125—1581no—
1121#125—1581no—
1122#124—21no—
1123#124—21no—
1124#124—791no—
1125#124—791no—
1126#124—791no—
1127#124—791no—
1128#124—1581no—
1129#124—1581no—
1130#124—1581no—
1131#124—1581no—
1132#124—1581no—
1133#124—1581no—
1134#124—1581no—
1135#124—1581no—
1136#124C22×D7911yescharacteristic
1137#123—21no—
1138#123—791no—
1139#123—791no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148#123—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123—1581no—
1152#123—1581no—
1153C22⋊Q8—791no—
1154C22⋊Q8—791no—
1155C22⋊Q8—791no—
1156C22⋊Q8—791no—
1157C22⋊Q8—791no—
1158C22⋊Q8—791no—
1159C22⋊Q8—1581no—
1160C22⋊Q8—1581no—
1161C22⋊Q8—1581no—
1162C22⋊Q8—1581no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167C22⋊Q8—1581no—
1168C22⋊Q8—1581no—
1169C22⋊Q8—1581no—
1170C22⋊Q8—1581no—
1171C22⋊Q8—1581no—
1172C22⋊Q8C22×D7911yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—791no—
1176#121—791no—
1177#121—791no—
1178#121—791no—
1179#121—1581no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121C22×D7911yescharacteristic
1187#121C22×D7911yescharacteristic
1188#121C22×D7911yescharacteristic
1189#120—21no—
1190#120—1581no—
1191#120—1581no—
1192#120—1581no—
1193C4×Q8—791no—
1194C4×Q8—791no—
1195C4×Q8—791no—
1196C4×Q8—791no—
1197C4×Q8—791no—
1198C4×Q8—791no—
1199C4×Q8—791no—
1200C4×Q8—791no—
1201C4×Q8—791no—
1202C4×Q8—791no—
1203C4×Q8—791no—
1204C4×Q8—1581no—
1205C4×Q8—1581no—
1206C4×Q8—1581no—
1207C4×Q8—1581no—
1208C4×Q8—1581no—
1209C4×Q8—1581no—
1210C4×Q8—1581no—
1211C4×Q8—1581no—
1212C4×D4—791no—
1213C4×D4—791no—
1214C4×D4—791no—
1215C4×D4—791no—
1216C4×D4—791no—
1217C4×D4—791no—
1218C4×D4—791no—
1219C4×D4—791no—
1220C4×D4—791no—
1221C4×D4—791no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
1230C4×D4—1581no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4—1581no—
1235C4×D4—1581no—
1236C4×D4C22×D7911yescharacteristic
1237C4×D4C22×D7911yescharacteristic
1238C4×D4C22×D7911yescharacteristic
1239#117—21no—
1240#117—791no—
1241#117—791no—
1242#117—791no—
1243#117—791no—
1244#117—1581no—
1245#117—1581no—
1246#117—1581no—
1247#117—1581no—
1248#117—1581no—
1249#117—1581no—
1250#117—1581no—
1251#117—1581no—
1252#117—1581no—
1253#117—1581no—
1254#117C22×D7911yescharacteristic
1255#117C22×D7911yescharacteristic
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—1581no—
1259C2×C4⋊C4—1581no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C22⋊C4—1581no—
1265C2×C42—791no—
1266C2×C42—1581no—
1267#107—791no—
1268#107—791no—
1269#107—791no—
1270#107—791no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107C22×D7911yescharacteristic
1276#107C22×D7911yescharacteristic
1277#106—791no—
1278#106—791no—
1279#106—791no—
1280#106—791no—
1281#106—791no—
1282#106C22×D7911yescharacteristic
1283C4⋊C8—791no—
1284C4⋊C8—791no—
1285C4⋊C8—791no—
1286C4⋊C8—791no—
1287C4⋊C8—791no—
1288C4⋊C8C22×D7911yescharacteristic
1289#103—791no—
1290#103—791no—
1291#103—791no—
1292#103—791no—
1293#103—791no—
1294#103—791no—
1295#103—791no—
1296#103—791no—
1297#103—791no—
1298#103—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103C22×D7911yescharacteristic
1303#103C22×D7911yescharacteristic
1304#103C22×D7911yescharacteristic
1305#102—791no—
1306#102—791no—
1307#102—791no—
1308#102—791no—
1309#102—791no—
1310#102—791no—
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102C22×D7911yescharacteristic
1315#102C22×D7911yescharacteristic
1316#102C22×D7911yescharacteristic
1317#102C22×D7911yescharacteristic
1318#102C22×D7911yescharacteristic
1319#102C22×D7911yescharacteristic
1320#102C22×D7911yescharacteristic
1321C22⋊C8—791no—
1322C22⋊C8—791no—
1323C22⋊C8—791no—
1324C22⋊C8—791no—
1325C22⋊C8C22×D7911yescharacteristic
1326C22⋊C8C22×D7911yescharacteristic
1327#97—791no—
1328#97—791no—
1329#97—791no—
1330#97—791no—
1331#97—791no—
1332#97C22×D7911yescharacteristic
1333C4×C8—791no—
1334C4×C8—791no—
1335C4×C8—791no—
1336C4×C8—791no—
1337C24—21no—
1338C24—1581no—
1339#41—22no—
1340#41—41no—
1341#41—3161no—
1342#41—6322no—
1343#41—1582no—
1344C2×Q8—21no—
1345C2×Q8—3161no—
1346C2×Q8—3161no—
1347C2×Q8—791no—
1348C2×Q8—791no—
1349C2×Q8—791no—
1350C2×Q8—791no—
1351C2×Q8—1582no—
1352C2×Q8—1582no—
1353C2×Q8—1581no—
1354C2×Q8—1581no—
1355C2×Q8—1581no—
1356C2×Q8—1581no—
1357C2×Q8—1581no—
1358C2×Q8C23×D7911yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—3161no—
1367C2×D4—791no—
1368C2×D4—791no—
1369C2×D4—791no—
1370C2×D4—6322no—
1371C2×D4—1581no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1581no—
1376C2×D4—1582no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4D4×D7911yescharacteristic
1380C2×D4C23×D7911yescharacteristic
1381C2×D4C23×D7911yescharacteristic
1382C2×D4C23×D7911yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—791no—
1387C22×C4—791no—
1388C22×C4—791no—
1389C22×C4—6322no—
1390C22×C4—1581no—
1391C22×C4—1581no—
1392C22×C4—1581no—
1393C22×C4—1581no—
1394C22×C4—1581no—
1395C22×C4—1581no—
1396C22×C4—1581no—
1397C22×C4—1581no—
1398C22×C4—1581no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4—1581no—
1403C22×C4C23×D7911yescharacteristic
1404C22×C4C23×D7911yescharacteristic
1405Q16—3161no—
1406Q16—1582no—
1407Q16—1582no—
1408SD16—41no—
1409SD16—3161no—
1410SD16—3161no—
1411SD16—3161no—
1412SD16—794no—
1413SD16—1582no—
1414SD16—1582no—
1415SD16—1582no—
1416SD16—1582no—
1417SD16—1582no—
1418D8—22no—
1419D8—41no—
1420D8—1582no—
1421M16—41no—
1422M16—3161no—
1423M16—1582no—
1424M16—1582no—
1425C2×C8—41no—
1426C2×C8—791no—
1427C2×C8—791no—
1428C2×C8—791no—
1429C2×C8—791no—
1430C2×C8—1582no—
1431C2×C8C23×D7911yescharacteristic
1432C2×C8C23×D7911yescharacteristic
1433C2×C8C23×D7911yescharacteristic
1434C2×C8C23×D7911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—791no—
1438C4⋊C4—791no—
1439C4⋊C4—791no—
1440C4⋊C4—791no—
1441C4⋊C4—791no—
1442C4⋊C4—791no—
1443C4⋊C4—791no—
1444C4⋊C4—791no—
1445C4⋊C4—791no—
1446C4⋊C4—791no—
1447C4⋊C4—791no—
1448C4⋊C4—791no—
1449C4⋊C4—791no—
1450C4⋊C4—1581no—
1451C4⋊C4—1581no—
1452C4⋊C4—1581no—
1453C4⋊C4—1581no—
1454C4⋊C4—1581no—
1455C4⋊C4—1581no—
1456C4⋊C4—1581no—
1457C4⋊C4—1581no—
1458C4⋊C4—1581no—
1459C4⋊C4—1581no—
1460C4⋊C4—1581no—
1461C4⋊C4—1581no—
1462C4⋊C4—1581no—
1463C4⋊C4—1581no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4D4×D7911yescharacteristic
1477C4⋊C4C23×D7911yescharacteristic
1478C4⋊C4C23×D7911yescharacteristic
1479C4⋊C4C23×D7911yescharacteristic
1480C4⋊C4C23×D7911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—791no—
1492C22⋊C4—791no—
1493C22⋊C4—791no—
1494C22⋊C4—791no—
1495C22⋊C4—791no—
1496C22⋊C4—791no—
1497C22⋊C4—791no—
1498C22⋊C4—791no—
1499C22⋊C4—1581no—
1500C22⋊C4—1581no—
1501C22⋊C4—1581no—
1502C22⋊C4—1581no—
1503C22⋊C4—1581no—
1504C22⋊C4—1581no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4D4×D7911yescharacteristic
1524C22⋊C4D4×D7911yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—791no—
1528C42—791no—
1529C42—791no—
1530C42—791no—
1531C42—791no—
1532C42—1581no—
1533C42—1581no—
1534C42—1581no—
1535C42—1581no—
1536C42—1581no—
1537C42—1581no—
1538C42—1581no—
1539C42—1581no—
1540C42—1581no—
1541C42—1581no—
1542C42—1581no—
1543C42—1581no—
1544C42C23×D7911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—3162no—
1552C23—3162no—
1553C23—791no—
1554C23—6321no—
1555C23—1581no—
1556C23C2×D4×D7911yescharacteristic
1557C23C2×D4×D7911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—3162no—
1562Q8—3162no—
1563Q8—3161no—
1564Q8—792no—
1565Q8—6321no—
1566Q8—6321no—
1567Q8—6321no—
1568Q8—1581no—
1569Q8—1581no—
1570Q8—1581no—
1571Q8—1581no—
1572Q8—1581no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—3162no—
1585D4—3162no—
1586D4—3161no—
1587D4—3161no—
1588D4—3162no—
1589D4—6321no—
1590D4—6321no—
1591D4—6321no—
1592D4—6321no—
1593D4—1581no—
1594D4—1581no—
1595D4#41×D7912yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—3161no—
1609C2×C4—3161no—
1610C2×C4—3162no—
1611C2×C4—3162no—
1612C2×C4—3162no—
1613C2×C4—3162no—
1614C2×C4—791no—
1615C2×C4—791no—
1616C2×C4—791no—
1617C2×C4—791no—
1618C2×C4—791no—
1619C2×C4—791no—
1620C2×C4—791no—
1621C2×C4—6321no—
1622C2×C4—6321no—
1623C2×C4—6321no—
1624C2×C4—6321no—
1625C2×C4—6321no—
1626C2×C4—6321no—
1627C2×C4—6321no—
1628C2×C4—6321no—
1629C2×C4—6321no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4—1581no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4C2×D4×D7911yescharacteristic
1640C2×C4C2×D4×D7911yescharacteristic
1641C2×C4C2×D4×D7911yescharacteristic
1642C2×C4C2×D4×D7911yescharacteristic
1643C2×C4C24×D7911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—792no—
1649C8—1581no—
1650C8—1581no—
1651C8—1581no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—162no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—6324no—
1672C22—1581no—
1673C22—1581no—
1674C22—1581no—
1675C22C22×D4×D7911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—3161no—
1686C4—3161no—
1687C4—3161no—
1688C4—3161no—
1689C4—3161no—
1690C4—3161no—
1691C4—1582no—
1692C4—1581no—
1693C4—1581no—
1694C4—1581no—
1695C4—1581no—
1696C4—1581no—
1697C4—1581no—
1698C4—1581no—
1699C4C2×#41×D7911yescharacteristic
1700C4#1909939811yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—81no—
1706C2—3161no—
1707C2—6321no—
1708C2#2377688411yescharacteristic
1709C2#2377817511yescharacteristic
1710C2#2377818411yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3319C2
socleC22×C79C23×D4
hypercenter#3319D79
hypocenterC79#61503
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #23777416C2semidirect
2. #23777329C2semidirect
3. #23776463C2semidirect
4. #23776305C2semidirect
5. #23776228C2semidirect
6. #23776211C2semidirect
7. #23775982C2semidirect
8. #23775928C2semidirect
9. #23775900C2semidirect
10. #23775674C2semidirect
11. #23775627C2semidirect
12. #23775573C2semidirect
13. #23775432C2semidirect
14. #23775397C2semidirect
15. #23775029C2semidirect
16. #23774906C2semidirect
17. #23774899C2semidirect
18. #23774086C2semidirect
19. #23774034C2semidirect
20. #23774009C2semidirect
21. #23773687C2semidirect
22. #23773655C2semidirect
23. #23773632C2semidirect
24. #23773577C2semidirect
25. #23773506C2semidirect
26. #23773501C2semidirect
27. #23772382C2semidirect
28. #23772262C2semidirect
29. #23772246C2semidirect
30. #23772211C2semidirect
31. C79×#3319C2semidirect
36. #19099293C22semidirect
37. #19099283C22semidirect
42. #19099281C22semidirect
50. D4×Dic158C22semidirect
52. #19099219C22semidirect
58. #19099180C22semidirect
59. #19099180C22semidirect
65. #19099118C22semidirect
73. #19099040C22semidirect
74. #19099040C22semidirect
76. C4×#11929623C22semidirect
78. #19098971C22semidirect
79. #19098969C22semidirect
80. #19098967C22semidirect
81. #19098958C22semidirect
83. #19098944C22semidirect
84. #19098932C22semidirect
85. #19098924C22semidirect
86. #19098921C22semidirect
87. #19098916C22semidirect
89. #19098905C22semidirect
90. #19098902C22semidirect
91. #19098900C22semidirect
92. #19098900C22semidirect
93. #19098899C22semidirect
95. #19098887C22semidirect
97. #19098884C22semidirect
98. #19098874C22semidirect
99. #19098873C22semidirect
100. #19098871C22semidirect
101. #19098869C22semidirect
102. #19098863C22semidirect
103. #19098857C22semidirect
104. #19098856C22semidirect
106. #19098847C22semidirect
108. #19098841C22semidirect
109. #19098840C22semidirect
110. #19098820C22semidirect
111. #19098820C22semidirect
112. #19098814C22semidirect
116. #19098807C22semidirect
117. #19098802C22semidirect
119. #19098792C22semidirect
120. #19098788C22semidirect
121. #19098788C22semidirect
122. #19098783C22semidirect
123. #19098782C22semidirect
126. #19098776C22semidirect
127. #19098769C22semidirect
132. #19098722C22semidirect
133. #19098718C22semidirect
139. #19098704C22semidirect
140. #19098701C22semidirect
141. #19098692C22semidirect
142. #19098691C22semidirect
143. #19098675C22semidirect
144. #19098673C22semidirect
145. #19098667C22semidirect
146. #19098667C22semidirect
147. #19098665C22semidirect
148. #19098664C22semidirect
150. #19098662C22semidirect
151. #19098662C22semidirect
156. #19098660C22semidirect
157. #19098660C22semidirect
158. #19098655C22semidirect
159. #19098655C22semidirect
160. #19098655C22semidirect
164. #19098654C22semidirect
165. #19098654C22semidirect
166. #19098654C22semidirect
167. #19098650C22semidirect
169. #19098643C22semidirect
171. #19098638C22semidirect
172. #19098635C22semidirect
173. #19098634C22semidirect
175. #19098621C22semidirect
176. #19098621C22semidirect
177. #19098619C22semidirect
178. #19098606C22semidirect
179. #19098602C22semidirect
180. #19098599C22semidirect
181. #19098573C22semidirect
183. #19098561C22semidirect
184. C2×#14579086C22semidirect
185. #19098521C22semidirect
186. #19098518C22semidirect
187. #19098515C22semidirect
188. #555×C79C22semidirect
190. #489×C79C22semidirect
191. #485×C79C22semidirect
192. #482×C79C22semidirect
194. #468×C79C22semidirect
195. #466×C79C22semidirect
196. #463×C79C22semidirect
200. #435×C79C22semidirect
539. #11929612#41semidirect
868. #3319D79semidirect
887. C79#61503semidirect
900. #555C2×D79semidirect
945. #489C2×D79semidirect
950. #485C2×D79semidirect
958. #482C2×D79semidirect
979. #468C2×D79semidirect
982. #466C2×D79semidirect
991. #463C2×D79semidirect
1043. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774162
#237773292
#237764632
#237763052
#237762282
#237762112
#237759822
#237759282
#237759002
#237756742
#237756272
#237755732
#237754322
#237753972
#237750292
#237749062
#237748992
#237740862
#237740342
#237740092
#237736872
#237736552
#237736322
#237735772
#237735062
#237735012
#237723822
#237722622
#237722462
#237722112
C79×#33192
#6150379