Finite Group Databasebeta

← #35183769

Subgroups — #35183769

Order 20224.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777909C211yesmaximal, characteristic, complemented
2#23777401C211yesmaximal, characteristic, complemented
3#23776445C211yesmaximal, characteristic, complemented
4#23776439C211yesmaximal, characteristic, complemented
5#23776173C211yesmaximal, characteristic, complemented
6#23776165C211yesmaximal, characteristic, complemented
7#23775648C211yesmaximal, characteristic, complemented
8#23775646C211yesmaximal, characteristic, complemented
9#23775547C211yesmaximal, characteristic, complemented
10#23775545C211yesmaximal, characteristic, complemented
11#23775363C211yesmaximal, characteristic, complemented
12#23775361C211yesmaximal, characteristic, complemented
13#23775014C211yesmaximal, characteristic, complemented
14#23775013C211yesmaximal, characteristic, complemented
15#23774989C211yesmaximal, characteristic, complemented
16#23774985C211yesmaximal, characteristic, complemented
17#23774941C211yesmaximal, characteristic, complemented
18#23774806C211yesmaximal, characteristic, complemented
19#23774804C211yesmaximal, characteristic, complemented
20#23774779C211yesmaximal, characteristic, complemented
21#23774448C211yesmaximal, characteristic, complemented
22#23774446C211yesmaximal, characteristic, complemented
23#23774382C211yesmaximal, characteristic, complemented
24#23773678C211yesmaximal, characteristic, complemented
25#23773670C211yesmaximal, characteristic, complemented
26#23773549C211yesmaximal, characteristic, complemented
27#23772943C211yesmaximal, characteristic, complemented
28#23772937C211yesmaximal, characteristic, complemented
29#23772891C211yesmaximal, characteristic, complemented
30#23772566C211yesmaximal, characteristic, complemented
31C79×#3268C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic, complemented
33C2×#14579188C2211yescharacteristic
34C2×#14579186C2211yescharacteristic, complemented
35C2×#14579181C2211yescharacteristic, complemented
36#19099310—21no—
37#19099306—21no—
38#19099296C2211yescharacteristic
39#19099295C2211yescharacteristic
40#19099292C2211yescharacteristic, complemented
41#19099265—21no—
42#19099265—21no—
43#19099265C2211yescharacteristic, complemented
44#19099265C2211yescharacteristic, complemented
45#19099233—21no—
46#19099233C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic, complemented
48#19099232C2211yescharacteristic, complemented
49#19099223C2211yescharacteristic
50#19099220C2211yescharacteristic
51#19099217—21no—
52#19099217C2211yescharacteristic, complemented
53#19099210—21no—
54#19099209C2211yescharacteristic
55#19099203—21no—
56#19099197C2211yescharacteristic
57D4×C22⋊D79C2211yescharacteristic
58#19099186C2211yescharacteristic
59#19099180C2211yescharacteristic
60#19099166—21no—
61#19099166—21no—
62#19099166C2211yescharacteristic, complemented
63#19099166C2211yescharacteristic, complemented
64#19099151—21no—
65#19099149—21no—
66#19099145—21no—
67#19099130C2211yescharacteristic
68#19099127C2211yescharacteristic
69#19099123—21no—
70#19099111—21no—
71#19099111C2211yescharacteristic, complemented
72#19099110C2211yescharacteristic
73#19099095—21no—
74#19099095C2211yescharacteristic
75#124×D79C2211yescharacteristic
76#19099046C2211yescharacteristic, complemented
77#19099046C2211yescharacteristic, complemented
78C4×#11929625C2211yescharacteristic, complemented
79#19098951C2211yescharacteristic, complemented
80#19098950C2211yescharacteristic, complemented
81#19098949C2211yescharacteristic, complemented
82#19098938C2211yescharacteristic
83#19098938C2211yescharacteristic
84#19098926C2211yescharacteristic
85#19098926C2211yescharacteristic
86#19098923C2211yescharacteristic, complemented
87#19098922C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098894C2211yescharacteristic, complemented
91#19098891C2211yescharacteristic, complemented
92#19098890C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic, complemented
94#19098882C2211yescharacteristic
95#19098879C2211yescharacteristic
96#19098869C2211yescharacteristic, complemented
97#19098868C2211yescharacteristic, complemented
98#19098866C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098854C2211yescharacteristic, complemented
101#19098853C2211yescharacteristic, complemented
102#19098851C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098846C2211yescharacteristic, complemented
105#19098842C2211yescharacteristic, complemented
106#19098816C2211yescharacteristic
107#19098815C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098814C2211yescharacteristic
110#19098813C2211yescharacteristic, complemented
111#19098813C2211yescharacteristic, complemented
112#19098807C2211yescharacteristic, complemented
113#19098797C2211yescharacteristic
114#19098794C2211yescharacteristic, complemented
115#19098792C2211yescharacteristic, complemented
116#19098787C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098785C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic, complemented
123#19098780C2211yescharacteristic, complemented
124#19098780C2211yescharacteristic, complemented
125#19098779C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098776C2211yescharacteristic, complemented
130#19098775C2211yescharacteristic, complemented
131#19098762C2211yescharacteristic, complemented
132#19098761C2211yescharacteristic
133#19098761C2211yescharacteristic
134#19098761C2211yescharacteristic, complemented
135#19098761C2211yescharacteristic, complemented
136#19098757C2211yescharacteristic, complemented
137#19098757C2211yescharacteristic, complemented
138#19098756C2211yescharacteristic
139#19098756C2211yescharacteristic
140#19098756C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic, complemented
142#19098756C2211yescharacteristic, complemented
143#19098755C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic, complemented
145#19098711C2211yescharacteristic, complemented
146#19098710C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic
148#19098708C2211yescharacteristic, complemented
149#19098707C2211yescharacteristic, complemented
150#19098706C2211yescharacteristic, complemented
151#19098700C2211yescharacteristic, complemented
152#19098700C2211yescharacteristic, complemented
153#19098699C2211yescharacteristic, complemented
154#19098697C2211yescharacteristic, complemented
155#19098696C2211yescharacteristic, complemented
156#19098695C2211yescharacteristic
157#19098695C2211yescharacteristic
158#19098692C2211yescharacteristic, complemented
159#19098691C2211yescharacteristic, complemented
160#19098676C2211yescharacteristic, complemented
161#19098675C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic, complemented
163#19098672C2211yescharacteristic, complemented
164#19098670C2211yescharacteristic, complemented
165#19098667C2211yescharacteristic, complemented
166#19098661C2211yescharacteristic, complemented
167#19098654C2211yescharacteristic, complemented
168SD16×Dic79C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098639C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098635C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098618C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098589C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098570C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic
184#19098565C2211yescharacteristic, complemented
185#19098564C2211yescharacteristic, complemented
186C2×#14579083C2211yescharacteristic, complemented
187C2×#14579082C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic, complemented
189C2×#135×C79C2211yescharacteristic, complemented
190#550×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#496×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic
195#464×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#449×C79C2211yescharacteristic
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623—21no—
209C2×Q8×D79C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C22×C22⋊D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79C2311yescharacteristic
214#14579193—42no—
215#14579188—42no—
216#14579186—42no—
217#14579181—42no—
218C2×#11929614C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×D632C2311yescharacteristic
226C2×D632C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929608C2311yescharacteristic
234C2×#11929607C2311yescharacteristic
235C2×#11929607C2311yescharacteristic
236C22×C79⋊C8C2311yescharacteristic
237#14579161—21no—
238#14579161C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579157—21no—
241#14579157—21no—
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579157C2311yescharacteristic
245#14579157C2311yescharacteristic
246#14579157C2311yescharacteristic
247#14579156—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154D411yescharacteristic
252#14579154D411yescharacteristic
253#14579152—21no—
254#14579152—21no—
255#14579152D411yescharacteristic
256#14579152C2311yescharacteristic
257#14579152C2311yescharacteristic
258#14579150C2311yescharacteristic
259#14579150C2311yescharacteristic
260#14579149C2311yescharacteristic
261#14579148—21no—
262#14579148—21no—
263#14579148—21no—
264#14579148D411yescharacteristic
265#14579148C2311yescharacteristic
266#14579148C2311yescharacteristic
267#14579147—21no—
268#14579147—21no—
269#14579147—21no—
270#14579147—21no—
271#14579147—21no—
272#14579147—21no—
273#14579147—21no—
274#14579146—21no—
275#14579145—21no—
276#14579145—21no—
277#14579145—21no—
278#14579145—21no—
279#14579145—21no—
280#14579145—21no—
281#14579145—21no—
282#14579144—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143D411yescharacteristic
289#14579143D411yescharacteristic
290#14579142—21no—
291#14579141—21no—
292#14579141—21no—
293#14579141D411yescharacteristic
294#14579140—21no—
295#14579140C2311yescharacteristic
296#14579139—21no—
297#14579138—21no—
298#14579136C2311yescharacteristic
299#14579135—21no—
300#14579135—21no—
301#14579135—21no—
302#14579135—21no—
303#14579135C2311yescharacteristic
304#14579135C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579134—21no—
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579132—21no—
318#14579132—21no—
319#14579132—21no—
320#14579132—21no—
321#14579132—21no—
322#14579132—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132D411yescharacteristic
327#14579132C2311yescharacteristic
328#14579132C2311yescharacteristic
329#14579132C2311yescharacteristic
330#14579131—21no—
331#14579130—21no—
332#14579130—21no—
333#14579130—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338#14579129—21no—
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342Q8×Dic79C2311yescharacteristic
343C4×Dic158—21no—
344C4×Dic158C2311yescharacteristic
345#14579126C2311yescharacteristic
346C4×D316—21no—
347C4×D316C2311yescharacteristic
348C4×D316C2311yescharacteristic
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79—21no—
352D4×Dic79—21no—
353D4×Dic79—21no—
354D4×Dic79—21no—
355D4×Dic79—21no—
356D4×Dic79C2311yescharacteristic
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361#14579123—21no—
362#14579123—21no—
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79—21no—
370C4×C22⋊D79C2311yescharacteristic
371C4×C22⋊D79C2311yescharacteristic
372(C22⋊D79)⋊C4—21no—
373#14579120—21no—
374#14579120—21no—
375#14579120C2311yescharacteristic
376#14579120C2311yescharacteristic
377#14579119—21no—
378#14579119C2311yescharacteristic
379C2×C4⋊Dic79—21no—
380C2×C4⋊Dic79—21no—
381C2×C4⋊Dic79C2311yescharacteristic
382C2×C4⋊Dic79C2311yescharacteristic
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C42×D79—21no—
387C42×D79C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443AGL(1,ℤ/8)×C79—42no—
444#135×C79—42no—
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#127×C79—21no—
457#127×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79C2311yescharacteristic
461#121×C79—21no—
462#121×C79—21no—
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79C2311yescharacteristic
471C4×D4×C79C2311yescharacteristic
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—22no—
487#11929625—41no—
488#11929624—41no—
489#11929624—41no—
490#11929624—82no—
491#11929623—82no—
492#11929623—82no—
493#11929623—82no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158C2×D411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—41no—
500Q8×D79—41no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—41no—
505C2×D316—41no—
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—82no—
528C2×C22⋊D79C2×D411yescharacteristic
529C2×C22⋊D79C2×D411yescharacteristic
530D4×D79—41no—
531D4×D79—41no—
532D4×D79—82no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79C2×D411yescharacteristic
548C2×C4×D79C2×D411yescharacteristic
549C2×C4×D79C2411yescharacteristic
550#11929614—22no—
551#11929613—41no—
552#11929612—41no—
553#11929612—41no—
554#11929611—22no—
555#11929611—22no—
556#11929611—41no—
557D632—41no—
558D632—41no—
559#11929609—41no—
560#11929609—41no—
561#11929609—41no—
562#11929609—41no—
563#11929609—41no—
564#11929609—41no—
565#11929608—41no—
566#11929607—41no—
567#11929607—41no—
568C2×C79⋊C8—41no—
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C2×C79⋊C8C2411yescharacteristic
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79—21no—
578C4⋊Dic79—21no—
579C4⋊Dic79—21no—
580C4⋊Dic79—21no—
581C4⋊Dic79—21no—
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2×D411yescharacteristic
584C4⋊Dic79C2×D411yescharacteristic
585C4⋊Dic79C2×D411yescharacteristic
586C4⋊Dic79C2×D411yescharacteristic
587C4⋊Dic79C2411yescharacteristic
588C4⋊Dic79C2411yescharacteristic
589C4⋊Dic79C2411yescharacteristic
590C4⋊Dic79C2411yescharacteristic
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79C2×D411yescharacteristic
614C22⋊Dic79C2×D411yescharacteristic
615C22⋊Dic79C2×D411yescharacteristic
616C22⋊Dic79C2×D411yescharacteristic
617C22⋊Dic79C2×D411yescharacteristic
618C22⋊Dic79C2×D411yescharacteristic
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C24×C79—21no—
648#41×C79—22no—
649#41×C79—22no—
650#41×C79—41no—
651#41×C79—41no—
652#41×C79—41no—
653#41×C79—41no—
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—41no—
666C2×D4×C79—41no—
667C2×D4×C79C2×D411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678Q16×C79—22no—
679SD16×C79—22no—
680SD16×C79—22no—
681SD16×C79—41no—
682SD16×C79—41no—
683D8×C79—41no—
684D8×C79—41no—
685D8×C79—41no—
686D8×C79—41no—
687M16×C79—41no—
688C2×C8×C79—41no—
689C2×C8×C79C2411yescharacteristic
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C4⋊C4×C79—21no—
694C4⋊C4×C79—21no—
695C4⋊C4×C79C2×D411yescharacteristic
696C4⋊C4×C79C2411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79C2×D411yescharacteristic
706C22⋊C4×C79C2×D411yescharacteristic
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—21no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79C22×D411yescharacteristic
717C23×C79C22×D411yescharacteristic
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—42no—
722C22×D79—81no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79C22×D411yescharacteristic
728Q8×C79—21no—
729Q8×C79—21no—
730Q8×C79—21no—
731Q8×C79H(5,𝔽2)12yes—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—21no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—41no—
741D4×C79—42no—
742D4×C79—42no—
743D4×C79—42no—
744D4×C79—81no—
745D4×C79—81no—
746D4×C79—81no—
747D4×C79—81no—
748D4×C79—81no—
749D4×C79—81no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—42no—
759C2×C4×C79—42no—
760C2×C4×C79—81no—
761C2×C4×C79—81no—
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C22×D411yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C22⋊D79—41no—
768C22⋊D79—41no—
769C22⋊D79—42no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C22⋊D79—81no—
779C22⋊D79—81no—
780C22⋊D79—81no—
781C22⋊D79—81no—
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C2×Dic79—21no—
788C2×Dic79—21no—
789C2×Dic79—21no—
790C2×Dic79—21no—
791C2×Dic79—21no—
792C2×Dic79—81no—
793C2×Dic79—81no—
794C2×Dic79—81no—
795C2×Dic79—81no—
796C2×Dic79—81no—
797C2×Dic79—81no—
798C2×Dic79—81no—
799C2×Dic79C22×D411yescharacteristic
800C2×Dic79C22×D411yescharacteristic
801C2×Dic79C22×D411yescharacteristic
802C2×Dic79C22×D411yescharacteristic
803C2×Dic79C22×D411yescharacteristic
804C2×Dic79C22×D411yescharacteristic
805C2×Dic79C22×D411yescharacteristic
806D316—21no—
807D316—21no—
808D316—21no—
809D316—21no—
810D316—21no—
811D316—21no—
812D316—42no—
813D316—42no—
814D316—81no—
815C4×D79—21no—
816C4×D79—21no—
817C4×D79—41no—
818C4×D79—41no—
819C4×D79—42no—
820C4×D79—42no—
821C4×D79—81no—
822C4×D79—81no—
823C4×D79—81no—
824C4×D79—81no—
825C4×D79—81no—
826Dic158—21no—
827Dic158—21no—
828Dic158—41no—
829Dic158—42no—
830Dic158—81no—
831Dic158—81no—
832C8×C79—21no—
833C8×C79—21no—
834C8×C79—21no—
835C8×C79—21no—
836C79⋊C8—21no—
837C79⋊C8—21no—
838C79⋊C8—21no—
839C79⋊C8—21no—
840C22×C79—21no—
841C22×C79—21no—
842C22×C79—21no—
843C22×C79—21no—
844C22×C79—21no—
845C22×C79—21no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—162no—
859C22×C79C23×D411yescharacteristic
860C2×D79—21no—
861C2×D79—21no—
862C2×D79—21no—
863C2×D79—41no—
864C2×D79—41no—
865C2×D79—41no—
866C2×D79—41no—
867C2×D79—41no—
868C2×D79—41no—
869C2×D79—41no—
870C2×D79—41no—
871C2×D79—41no—
872C2×D79—162no—
873C2×D79—162no—
874C4×C79—21no—
875C4×C79—21no—
876C4×C79—21no—
877C4×C79—21no—
878C4×C79—22no—
879C4×C79—41no—
880C4×C79—41no—
881C4×C79—41no—
882C4×C79C2×H(5,𝔽2)11yescharacteristic
883C4×C79#58511yescharacteristic
884Dic79—21no—
885Dic79—21no—
886Dic79—21no—
887Dic79—21no—
888Dic79—21no—
889Dic79—21no—
890Dic79—21no—
891Dic79—41no—
892Dic79—41no—
893Dic79—41no—
894Dic79—41no—
895Dic79—41no—
896#62093—791nomaximal, Sylow
897C2×C79—41no—
898C2×C79—41no—
899C2×C79—81no—
900C2×C79—81no—
901C2×C79—81no—
902C2×C79—81no—
903C2×C79#348811yescharacteristic
904C2×C79#358511yescharacteristic
905C2×C79#358511yescharacteristic
906D79—41no—
907D79—81no—
908D79—81no—
909D79—81no—
910#3558—791no—
911#3517—791no—
912#3399—791no—
913#3399—791no—
914#3371—791no—
915#3371—791no—
916#3326—791no—
917#3326—791no—
918#3318—791no—
919#3318—791no—
920#3306—791no—
921#3306—791no—
922#3274—791no—
923#3274—791no—
924#3271—791no—
925#3271—791no—
926#3268—791no—
927#3268D7911yescharacteristic, complemented
928#3257—791no—
929#3257—791no—
930#3253—791no—
931#3220—791no—
932#3220—791no—
933#3213—791no—
934#3125—791no—
935#3125—791no—
936#3115—791no—
937#3045—791no—
938#3045—791no—
939#3040—791no—
940#2995—791no—
941C79#6209311yescharacteristic, complemented, Sylow
942C2×#137—791no—
943C2×AGL(1,ℤ/8)—791no—
944C2×AGL(1,ℤ/8)—791no—
945C2×AGL(1,ℤ/8)C2×D7911yescharacteristic, complemented
946C2×#135—791no—
947C2×#135C2×D7911yescharacteristic, complemented
948#562—1581no—
949H(3,𝔽4)—1581no—
950#559—791no—
951#559—791no—
952#557—791no—
953#553—791no—
954#553—791no—
955#553—1581no—
956#553—1581no—
957#550—791no—
958#550—791no—
959#550—791no—
960#550—1581no—
961#550C2×D7911yescharacteristic, complemented
962#548—791no—
963#548—791no—
964#547—791no—
965#547—1581no—
966#546—791no—
967#546—1581no—
968#546—1581no—
969#546C2×D7911yescharacteristic
970D42—791no—
971D42—791no—
972#542—791no—
973#542—791no—
974#540—791no—
975#540—791no—
976#540—1581no—
977#540—1581no—
978#538—1581no—
979#538—1581no—
980#538—1581no—
981#535—791no—
982#535—791no—
983#534—1581no—
984#532—791no—
985#532—791no—
986#532—1581no—
987#529—791no—
988#529—1581no—
989C2×#124—791no—
990#520—791no—
991#520—791no—
992C4×#41—791no—
993#496—791no—
994#496—791no—
995#496—791no—
996#496C2×D7911yescharacteristic, complemented
997#493—791no—
998#493—791no—
999#490—791no—
1000#490—791no—
1001#489—791no—
1002#489—791no—
1003#488—791no—
1004#488—791no—
1005#483—791no—
1006#483—791no—
1007#482—791no—
1008#482—791no—
1009#481—791no—
1010#481—791no—
1011#479—791no—
1012#479—791no—
1013#478—791no—
1014#478—791no—
1015#476—791no—
1016#476—791no—
1017#476—791no—
1018#476—791no—
1019#475—791no—
1020#474—791no—
1021#469—791no—
1022#469—791no—
1023#469—791no—
1024#469—791no—
1025#469—791no—
1026#469—791no—
1027#468—791no—
1028#468C2×D7911yescharacteristic, complemented
1029#466—791no—
1030#466C2×D7911yescharacteristic
1031#465—791no—
1032#465—791no—
1033#464—791no—
1034#464—791no—
1035#464—791no—
1036#464—791no—
1037#464—791no—
1038#464C2×D7911yescharacteristic, complemented
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463—791no—
1043#463—791no—
1044#463—791no—
1045#463—791no—
1046#463—791no—
1047#463—791no—
1048#463—791no—
1049#460—791no—
1050#460—791no—
1051#460—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#459—791no—
1057#459—791no—
1058#459—791no—
1059#459—791no—
1060#459—791no—
1061#459—791no—
1062#459C2×D7911yescharacteristic, complemented
1063#452—791no—
1064#452C2×D7911yescharacteristic, complemented
1065#449—791no—
1066#449—791no—
1067#449—791no—
1068#449—791no—
1069#449—791no—
1070#449—791no—
1071#449C2×D7911yescharacteristic
1072#449C2×D7911yescharacteristic, complemented
1073#448—791no—
1074#448—791no—
1075#447—791no—
1076#447—791no—
1077#447—791no—
1078#447—791no—
1079#447—791no—
1080#447C2×D7911yescharacteristic, complemented
1081#446—791no—
1082#446—791no—
1083#442—791no—
1084#442—791no—
1085#442—791no—
1086#442—791no—
1087#441—791no—
1088#441—791no—
1089#440—791no—
1090#440C2×D7911yescharacteristic, complemented
1091C4×SD16—791no—
1092C4×SD16—791no—
1093C4×SD16—791no—
1094C4×SD16—791no—
1095#436—791no—
1096#436—791no—
1097#435—791no—
1098#435—791no—
1099#435—791no—
1100#435C2×D7911yescharacteristic, complemented
1101#433—791no—
1102#433—791no—
1103#432—791no—
1104#424—791no—
1105#424—791no—
1106#423—791no—
1107#419—791no—
1108#418—791no—
1109#417—791no—
1110#417—791no—
1111C2×#102—791no—
1112C2×#102—791no—
1113C2×#41—791no—
1114C2×#41—791no—
1115C2×#41—1581no—
1116C2×#41—1581no—
1117C2×#41—1581no—
1118C2×#41—1581no—
1119C2×#41C22×D7911yescharacteristic
1120C2×#41C22×D7911yescharacteristic
1121C2×#41C22×D7911yescharacteristic
1122C22×Q8—791no—
1123C22×D4—791no—
1124C22×D4—791no—
1125C22×D4—1581no—
1126C22×D4—1581no—
1127C22×D4C22×D7911yescharacteristic
1128#137—3162no—
1129AGL(1,ℤ/8)—42no—
1130AGL(1,ℤ/8)—3162no—
1131AGL(1,ℤ/8)—3162no—
1132#135—42no—
1133#135—3162no—
1134C2×Q16—791no—
1135C2×Q16C22×D7911yescharacteristic
1136C2×SD16—791no—
1137C2×SD16—791no—
1138C2×SD16—791no—
1139C2×SD16—791no—
1140C2×SD16—791no—
1141C2×SD16—791no—
1142C2×SD16C22×D7911yescharacteristic
1143C2×SD16C22×D7911yescharacteristic
1144C2×SD16C22×D7911yescharacteristic
1145C2×SD16C22×D7911yescharacteristic
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8—791no—
1150C2×D8—791no—
1151C2×D8—791no—
1152C2×D8—791no—
1153C2×D8—791no—
1154C2×D8C22×D7911yescharacteristic
1155C2×D8C22×D7911yescharacteristic
1156C2×D8C22×D7911yescharacteristic
1157C2×D8C22×D7911yescharacteristic
1158C2×M16—791no—
1159C2×M16—791no—
1160C2×M16—791no—
1161C2×M16C22×D7911yescharacteristic
1162C22×C8—791no—
1163C22×C8C22×D7911yescharacteristic
1164C4⋊Q8—791no—
1165C4⋊Q8—791no—
1166C4⋊Q8—1581no—
1167#127—21no—
1168#127—791no—
1169#127—791no—
1170#127—791no—
1171#127—791no—
1172#127—791no—
1173#127—1581no—
1174#127—1581no—
1175#127C22×D7911yescharacteristic
1176#126—791no—
1177#126—791no—
1178#126—1581no—
1179#126—1581no—
1180#126—1581no—
1181#126—1581no—
1182#125—791no—
1183#125—791no—
1184#125—791no—
1185#125—1581no—
1186#125—1581no—
1187#124—791no—
1188#124—791no—
1189#124—791no—
1190#124—791no—
1191#124—791no—
1192#124—791no—
1193#124—1581no—
1194#124—1581no—
1195#124—1581no—
1196#124—1581no—
1197#124—1581no—
1198#124—1581no—
1199#124—1581no—
1200#124—1581no—
1201#124—1581no—
1202#124—1581no—
1203#124C22×D7911yescharacteristic
1204#123—21no—
1205#123—791no—
1206#123—791no—
1207#123—1581no—
1208#123—1581no—
1209#123—1581no—
1210#123—1581no—
1211#123—1581no—
1212#123—1581no—
1213#123—1581no—
1214#123—1581no—
1215#123—1581no—
1216#123—1581no—
1217#123—1581no—
1218#123—1581no—
1219#123—1581no—
1220#123—1581no—
1221#123—1581no—
1222C22⋊Q8—791no—
1223C22⋊Q8—791no—
1224C22⋊Q8—1581no—
1225C22⋊Q8—1581no—
1226C22⋊Q8—1581no—
1227C22⋊Q8—1581no—
1228C22⋊Q8—1581no—
1229C22⋊Q8C22×D7911yescharacteristic
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—791no—
1234#121—791no—
1235#121—791no—
1236#121—791no—
1237#121—791no—
1238#121—791no—
1239#121—791no—
1240#121—791no—
1241#121—1581no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121—1581no—
1250#121—1581no—
1251#121—1581no—
1252#121—1581no—
1253#121—1581no—
1254#121—1581no—
1255#121—1581no—
1256#121—1581no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121C22×D7911yescharacteristic
1266#121C22×D7911yescharacteristic
1267#121C22×D7911yescharacteristic
1268#120—21no—
1269#120—1581no—
1270#120—1581no—
1271#120—1581no—
1272#120—1581no—
1273#120—1581no—
1274#120—1581no—
1275#120—1581no—
1276#120—1581no—
1277#120—1581no—
1278C4×Q8—791no—
1279C4×Q8—791no—
1280C4×Q8—791no—
1281C4×Q8—791no—
1282C4×Q8—791no—
1283C4×Q8—791no—
1284C4×Q8—1581no—
1285C4×Q8C22×D7911yescharacteristic
1286C4×D4—21no—
1287C4×D4—791no—
1288C4×D4—791no—
1289C4×D4—791no—
1290C4×D4—791no—
1291C4×D4—791no—
1292C4×D4—791no—
1293C4×D4—791no—
1294C4×D4—791no—
1295C4×D4—791no—
1296C4×D4—791no—
1297C4×D4—791no—
1298C4×D4—1581no—
1299C4×D4—1581no—
1300C4×D4—1581no—
1301C4×D4—1581no—
1302C4×D4—1581no—
1303C4×D4—1581no—
1304C4×D4—1581no—
1305C4×D4—1581no—
1306C4×D4—1581no—
1307C4×D4—1581no—
1308C4×D4—1581no—
1309C4×D4—1581no—
1310C4×D4—1581no—
1311C4×D4—1581no—
1312C4×D4—1581no—
1313C4×D4—1581no—
1314C4×D4C22×D7911yescharacteristic
1315C4×D4C22×D7911yescharacteristic
1316#117—791no—
1317#117—791no—
1318#117—791no—
1319#117—1581no—
1320#117—1581no—
1321#117—1581no—
1322C2×C4⋊C4—791no—
1323C2×C4⋊C4—791no—
1324C2×C4⋊C4—1581no—
1325C2×C4⋊C4—1581no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—1581no—
1328C2×C22⋊C4—1581no—
1329C2×C22⋊C4—1581no—
1330C2×C42—791no—
1331C2×C42—1581no—
1332#107—791no—
1333#107C22×D7911yescharacteristic
1334#106—791no—
1335#106—791no—
1336#106—791no—
1337#106—791no—
1338#106—791no—
1339#106—791no—
1340C4⋊C8—791no—
1341C4⋊C8—791no—
1342C4⋊C8—791no—
1343C4⋊C8—791no—
1344C4⋊C8—791no—
1345C4⋊C8—791no—
1346C4⋊C8—791no—
1347C4⋊C8—791no—
1348C4⋊C8—791no—
1349C4⋊C8C22×D7911yescharacteristic
1350#103—791no—
1351#103—791no—
1352#103—791no—
1353#103—791no—
1354#103—791no—
1355#103—791no—
1356#103—791no—
1357#103—791no—
1358#103C22×D7911yescharacteristic
1359#103C22×D7911yescharacteristic
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102—791no—
1369#102—791no—
1370#102—791no—
1371#102—791no—
1372#102—791no—
1373#102—791no—
1374#102—791no—
1375#102—791no—
1376#102—791no—
1377#102—791no—
1378#102C22×D7911yescharacteristic
1379#102C22×D7911yescharacteristic
1380#102C22×D7911yescharacteristic
1381#102C22×D7911yescharacteristic
1382C22⋊C8—791no—
1383C22⋊C8—791no—
1384C22⋊C8—791no—
1385C22⋊C8—791no—
1386C22⋊C8C22×D7911yescharacteristic
1387C22⋊C8C22×D7911yescharacteristic
1388#97—791no—
1389#97—791no—
1390#97—791no—
1391#97C22×D7911yescharacteristic
1392C4×C8—791no—
1393C4×C8—791no—
1394C24—21no—
1395C24—1581no—
1396C24—1581no—
1397#41—22no—
1398#41—22no—
1399#41—41no—
1400#41—41no—
1401#41—41no—
1402#41—41no—
1403#41—3161no—
1404#41—3161no—
1405#41—3161no—
1406#41—6322no—
1407#41—6322no—
1408#41—6322no—
1409#41—6322no—
1410#41—1582no—
1411C2×Q8—3161no—
1412C2×Q8—3161no—
1413C2×Q8—791no—
1414C2×Q8—791no—
1415C2×Q8—1581no—
1416C2×Q8—1581no—
1417C2×Q8—1581no—
1418C2×Q8C23×D7911yescharacteristic
1419C2×Q8C23×D7911yescharacteristic
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—3161no—
1432C2×D4—3161no—
1433C2×D4—3161no—
1434C2×D4—3161no—
1435C2×D4—791no—
1436C2×D4—791no—
1437C2×D4—791no—
1438C2×D4—791no—
1439C2×D4—791no—
1440C2×D4—6322no—
1441C2×D4—6322no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4—1581no—
1446C2×D4—1581no—
1447C2×D4—1581no—
1448C2×D4—1581no—
1449C2×D4—1581no—
1450C2×D4—1581no—
1451C2×D4—1581no—
1452C2×D4—1581no—
1453C2×D4—1581no—
1454C2×D4—1581no—
1455C2×D4—1581no—
1456C2×D4—1581no—
1457C2×D4—1581no—
1458C2×D4—1581no—
1459C2×D4—1581no—
1460C2×D4—1581no—
1461C2×D4—1581no—
1462C2×D4—1581no—
1463C2×D4D4×D7911yescharacteristic
1464C2×D4C23×D7911yescharacteristic
1465C2×D4C23×D7911yescharacteristic
1466C2×D4C23×D7911yescharacteristic
1467C2×D4C23×D7911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—791no—
1473C22×C4—791no—
1474C22×C4—791no—
1475C22×C4—1581no—
1476C22×C4—1581no—
1477C22×C4—1581no—
1478C22×C4—1581no—
1479C22×C4—1581no—
1480C22×C4—1581no—
1481C22×C4—1581no—
1482C22×C4—1581no—
1483C22×C4—1581no—
1484C22×C4—1581no—
1485C22×C4—1581no—
1486C22×C4—1581no—
1487C22×C4—1581no—
1488C22×C4—1581no—
1489C22×C4C23×D7911yescharacteristic
1490C22×C4C23×D7911yescharacteristic
1491Q16—22no—
1492Q16—1582no—
1493SD16—22no—
1494SD16—22no—
1495SD16—41no—
1496SD16—41no—
1497SD16—3161no—
1498SD16—3161no—
1499SD16—3161no—
1500SD16—3161no—
1501SD16—1582no—
1502SD16—1582no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—3161no—
1508D8—3161no—
1509D8—3161no—
1510D8—3161no—
1511D8—3161no—
1512D8—3161no—
1513D8—3161no—
1514D8—3161no—
1515M16—41no—
1516M16—3161no—
1517M16—3161no—
1518M16—3161no—
1519C2×C8—41no—
1520C2×C8—3161no—
1521C2×C8—791no—
1522C2×C8—791no—
1523C2×C8—791no—
1524C2×C8—791no—
1525C2×C8C23×D7911yescharacteristic
1526C2×C8C23×D7911yescharacteristic
1527C2×C8C23×D7911yescharacteristic
1528C2×C8C23×D7911yescharacteristic
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—791no—
1532C4⋊C4—791no—
1533C4⋊C4—791no—
1534C4⋊C4—791no—
1535C4⋊C4—791no—
1536C4⋊C4—791no—
1537C4⋊C4—791no—
1538C4⋊C4—791no—
1539C4⋊C4—791no—
1540C4⋊C4—791no—
1541C4⋊C4—791no—
1542C4⋊C4—791no—
1543C4⋊C4—791no—
1544C4⋊C4—1581no—
1545C4⋊C4—1581no—
1546C4⋊C4—1581no—
1547C4⋊C4—1581no—
1548C4⋊C4—1581no—
1549C4⋊C4—1581no—
1550C4⋊C4—1581no—
1551C4⋊C4—1581no—
1552C4⋊C4—1581no—
1553C4⋊C4—1581no—
1554C4⋊C4—1581no—
1555C4⋊C4—1581no—
1556C4⋊C4—1581no—
1557C4⋊C4—1581no—
1558C4⋊C4D4×D7911yescharacteristic
1559C4⋊C4C23×D7911yescharacteristic
1560C4⋊C4C23×D7911yescharacteristic
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—791no—
1569C22⋊C4—791no—
1570C22⋊C4—791no—
1571C22⋊C4—791no—
1572C22⋊C4—791no—
1573C22⋊C4—791no—
1574C22⋊C4—791no—
1575C22⋊C4—791no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4—1581no—
1599C22⋊C4—1581no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4D4×D7911yescharacteristic
1605C22⋊C4D4×D7911yescharacteristic
1606C42—21no—
1607C42—791no—
1608C42—791no—
1609C42—791no—
1610C42—791no—
1611C42—791no—
1612C42—1581no—
1613C42—1581no—
1614C42—1581no—
1615C42—1581no—
1616C42—1581no—
1617C42—1581no—
1618C42C23×D7911yescharacteristic
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—81no—
1624C23—81no—
1625C23—81no—
1626C23—3162no—
1627C23—791no—
1628C23—6321no—
1629C23—6321no—
1630C23—6321no—
1631C23—6321no—
1632C23—6321no—
1633C23—1581no—
1634C23—1581no—
1635C23—1581no—
1636C23C2×D4×D7911yescharacteristic
1637C23C2×D4×D7911yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—3162no—
1642Q8—3161no—
1643Q8—6321no—
1644Q8—6321no—
1645Q8—1581no—
1646Q8—1581no—
1647Q8#1457920612yes—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—41no—
1657D4—42no—
1658D4—42no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—3162no—
1667D4—3162no—
1668D4—3162no—
1669D4—3161no—
1670D4—3161no—
1671D4—6321no—
1672D4—6321no—
1673D4—6321no—
1674D4—6321no—
1675D4—6321no—
1676D4—6321no—
1677D4—6321no—
1678D4—6321no—
1679D4—6321no—
1680D4—6321no—
1681D4—6321no—
1682D4—6321no—
1683D4—6321no—
1684D4—6321no—
1685D4—6321no—
1686D4—6321no—
1687D4—6321no—
1688D4—6321no—
1689D4—1581no—
1690D4—1581no—
1691D4—1581no—
1692D4—1581no—
1693D4—1581no—
1694D4—1581no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—3162no—
1708C2×C4—3162no—
1709C2×C4—3161no—
1710C2×C4—3161no—
1711C2×C4—791no—
1712C2×C4—791no—
1713C2×C4—791no—
1714C2×C4—791no—
1715C2×C4—791no—
1716C2×C4—791no—
1717C2×C4—791no—
1718C2×C4—6321no—
1719C2×C4—6321no—
1720C2×C4—6321no—
1721C2×C4—6321no—
1722C2×C4—6321no—
1723C2×C4—6321no—
1724C2×C4—6321no—
1725C2×C4—6321no—
1726C2×C4—6321no—
1727C2×C4—6321no—
1728C2×C4—6321no—
1729C2×C4—6321no—
1730C2×C4—1581no—
1731C2×C4—1581no—
1732C2×C4—1581no—
1733C2×C4—1581no—
1734C2×C4—1581no—
1735C2×C4—1581no—
1736C2×C4—1581no—
1737C2×C4C2×D4×D7911yescharacteristic
1738C2×C4C2×D4×D7911yescharacteristic
1739C2×C4C2×D4×D7911yescharacteristic
1740C2×C4C2×D4×D7911yescharacteristic
1741C2×C4C24×D7911yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—1581no—
1747C8—1581no—
1748C8—1581no—
1749C8—1581no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—162no—
1769C22—3161no—
1770C22—3161no—
1771C22—3161no—
1772C22—3161no—
1773C22—3161no—
1774C22—3161no—
1775C22—3161no—
1776C22—3161no—
1777C22—3161no—
1778C22—1581no—
1779C22—1581no—
1780C22—1581no—
1781C22—12642no—
1782C22—12642no—
1783C22C22×D4×D7911yescharacteristic
1784C4—21no—
1785C4—21no—
1786C4—22no—
1787C4—21no—
1788C4—21no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—3161no—
1793C4—3161no—
1794C4—3161no—
1795C4—3161no—
1796C4—3161no—
1797C4—1581no—
1798C4—1581no—
1799C4—1581no—
1800C4—1581no—
1801C4—1581no—
1802C4—1581no—
1803C4—1581no—
1804C4C2×#1457920611yescharacteristic
1805C4#1909939811yescharacteristic
1806C2—41no—
1807C2—41no—
1808C2—81no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—3161no—
1813C2—6321no—
1814C2—6321no—
1815C2—6321no—
1816C2#2377706011yescharacteristic
1817C2#2377817511yescharacteristic
1818C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3268C2
socleC22×C79C23×D4
hypercenter#3268D79
hypocenterC79#62093
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #23777909C2semidirect
2. #23777401C2semidirect
3. #23776445C2semidirect
4. #23776439C2semidirect
5. #23776173C2semidirect
6. #23776165C2semidirect
7. #23775648C2semidirect
8. #23775646C2semidirect
9. #23775547C2semidirect
10. #23775545C2semidirect
11. #23775363C2semidirect
12. #23775361C2semidirect
13. #23775014C2semidirect
14. #23775013C2semidirect
15. #23774989C2semidirect
16. #23774985C2semidirect
17. #23774941C2semidirect
18. #23774806C2semidirect
19. #23774804C2semidirect
20. #23774779C2semidirect
21. #23774448C2semidirect
22. #23774446C2semidirect
23. #23774382C2semidirect
24. #23773678C2semidirect
25. #23773670C2semidirect
26. #23773549C2semidirect
27. #23772943C2semidirect
28. #23772937C2semidirect
29. #23772891C2semidirect
30. #23772566C2semidirect
31. C79×#3268C2semidirect
32. C2×#14579193C22semidirect
34. C2×#14579186C22semidirect
35. C2×#14579181C22semidirect
40. #19099292C22semidirect
43. #19099265C22semidirect
44. #19099265C22semidirect
46. #19099233C22semidirect
47. #19099232C22semidirect
48. #19099232C22semidirect
52. #19099217C22semidirect
62. #19099166C22semidirect
63. #19099166C22semidirect
71. #19099111C22semidirect
76. #19099046C22semidirect
77. #19099046C22semidirect
78. C4×#11929625C22semidirect
79. #19098951C22semidirect
80. #19098950C22semidirect
81. #19098949C22semidirect
86. #19098923C22semidirect
87. #19098922C22semidirect
88. #19098919C22semidirect
89. #19098916C22semidirect
90. #19098894C22semidirect
91. #19098891C22semidirect
92. #19098890C22semidirect
93. #19098886C22semidirect
96. #19098869C22semidirect
97. #19098868C22semidirect
98. #19098866C22semidirect
99. #19098865C22semidirect
100. #19098854C22semidirect
101. #19098853C22semidirect
102. #19098851C22semidirect
103. #19098851C22semidirect
104. #19098846C22semidirect
105. #19098842C22semidirect
107. #19098815C22semidirect
108. #19098815C22semidirect
110. #19098813C22semidirect
111. #19098813C22semidirect
112. #19098807C22semidirect
114. #19098794C22semidirect
115. #19098792C22semidirect
116. #19098787C22semidirect
117. #19098787C22semidirect
118. #19098785C22semidirect
119. #19098783C22semidirect
120. #19098783C22semidirect
121. #19098781C22semidirect
122. #19098780C22semidirect
123. #19098780C22semidirect
124. #19098780C22semidirect
125. #19098779C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098776C22semidirect
129. #19098776C22semidirect
130. #19098775C22semidirect
131. #19098762C22semidirect
134. #19098761C22semidirect
135. #19098761C22semidirect
136. #19098757C22semidirect
137. #19098757C22semidirect
140. #19098756C22semidirect
141. #19098756C22semidirect
142. #19098756C22semidirect
143. #19098755C22semidirect
144. #19098725C22semidirect
145. #19098711C22semidirect
146. #19098710C22semidirect
148. #19098708C22semidirect
149. #19098707C22semidirect
150. #19098706C22semidirect
151. #19098700C22semidirect
152. #19098700C22semidirect
153. #19098699C22semidirect
154. #19098697C22semidirect
155. #19098696C22semidirect
158. #19098692C22semidirect
159. #19098691C22semidirect
160. #19098676C22semidirect
161. #19098675C22semidirect
162. #19098673C22semidirect
163. #19098672C22semidirect
164. #19098670C22semidirect
165. #19098667C22semidirect
166. #19098661C22semidirect
167. #19098654C22semidirect
168. SD16×Dic79C22semidirect
169. SD16×Dic79C22semidirect
170. #19098648C22semidirect
171. #19098639C22semidirect
172. #19098638C22semidirect
173. #19098635C22semidirect
174. #19098634C22semidirect
175. #19098631C22semidirect
176. #19098621C22semidirect
177. #19098621C22semidirect
178. #19098618C22semidirect
179. #19098591C22semidirect
180. #19098589C22semidirect
181. #19098585C22semidirect
182. #19098570C22semidirect
184. #19098565C22semidirect
185. #19098564C22semidirect
186. C2×#14579083C22semidirect
187. C2×#14579082C22semidirect
188. C2×AGL(1,ℤ/8)×C79C22semidirect
189. C2×#135×C79C22semidirect
190. #550×C79C22semidirect
192. #496×C79C22semidirect
193. #468×C79C22semidirect
195. #464×C79C22semidirect
196. #459×C79C22semidirect
197. #452×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
927. #3268D79semidirect
941. C79#62093semidirect
945. C2×AGL(1,ℤ/8)C2×D79semidirect
947. C2×#135C2×D79semidirect
961. #550C2×D79semidirect
996. #496C2×D79semidirect
1028. #468C2×D79semidirect
1038. #464C2×D79semidirect
1062. #459C2×D79semidirect
1064. #452C2×D79semidirect
1072. #449C2×D79semidirect
1080. #447C2×D79semidirect
1090. #440C2×D79semidirect
1100. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779092
#237774012
#237764452
#237764392
#237761732
#237761652
#237756482
#237756462
#237755472
#237755452
#237753632
#237753612
#237750142
#237750132
#237749892
#237749852
#237749412
#237748062
#237748042
#237747792
#237744482
#237744462
#237743822
#237736782
#237736702
#237735492
#237729432
#237729372
#237728912
#237725662
C79×#32682
#6209379