Finite Group Databasebeta

← #35182067

Subgroups — #35182067

Order 20224.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777991C211yesmaximal, characteristic, complemented
2#23777329C211yesmaximal, characteristic, complemented
3#23776470C211yesmaximal, characteristic, complemented
4#23776409C211yesmaximal, characteristic, complemented
5#23776157C211yesmaximal, characteristic, complemented
6#23776050C211yesmaximal, characteristic, complemented
7#23775698C211yesmaximal, characteristic, complemented
8#23775672C211yesmaximal, characteristic, complemented
9#23775653C211yesmaximal, characteristic, complemented
10#23775532C211yesmaximal, characteristic, complemented
11#23775367C211yesmaximal, characteristic, complemented
12#23775252C211yesmaximal, characteristic, complemented
13#23775018C211yesmaximal, characteristic, complemented
14#23775007C211yesmaximal, characteristic, complemented
15#23775004C211yesmaximal, characteristic, complemented
16#23774925C211yesmaximal, characteristic, complemented
17#23774895C211yesmaximal, characteristic, complemented
18#23774840C211yesmaximal, characteristic, complemented
19#23774814C211yesmaximal, characteristic, complemented
20#23774799C211yesmaximal, characteristic, complemented
21#23774515C211yesmaximal, characteristic, complemented
22#23774448C211yesmaximal, characteristic, complemented
23#23774371C211yesmaximal, characteristic, complemented
24#23773637C211yesmaximal, characteristic, complemented
25#23773615C211yesmaximal, characteristic, complemented
26#23773451C211yesmaximal, characteristic, complemented
27#23772937C211yesmaximal, characteristic, complemented
28#23772909C211yesmaximal, characteristic, complemented
29#23772862C211yesmaximal, characteristic, complemented
30#23772550C211yesmaximal, characteristic, complemented
31C79×#3282C211yesmaximal, characteristic, complemented
32C2×#14579188C2211yescharacteristic
33C2×#14579187C2211yescharacteristic
34C2×#14579186C2211yescharacteristic
35C2×#14579185C2211yescharacteristic, complemented
36#19099309—21no—
37#19099301—21no—
38#19099295C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099285C2211yescharacteristic, complemented
41#19099272C2211yescharacteristic, complemented
42#19099262—21no—
43#19099259C2211yescharacteristic
44#19099256—21no—
45#19099247C2211yescharacteristic, complemented
46#19099243—21no—
47#19099239—21no—
48#19099236—21no—
49#19099231C2211yescharacteristic
50#19099224C2211yescharacteristic
51#19099213C2211yescharacteristic
52#19099212C2211yescharacteristic, complemented
53#19099209C2211yescharacteristic, complemented
54#19099204C2211yescharacteristic, complemented
55#19099201C2211yescharacteristic
56#19099200—21no—
57D4×C22⋊D79C2211yescharacteristic, complemented
58#19099186C2211yescharacteristic, complemented
59#19099173C2211yescharacteristic, complemented
60#19099166C2211yescharacteristic
61#19099166C2211yescharacteristic, complemented
62#19099164—21no—
63#19099162—21no—
64#19099157—21no—
65#19099148—21no—
66#19099147—21no—
67#19099145—21no—
68#19099137C2211yescharacteristic, complemented
69#19099127C2211yescharacteristic, complemented
70#19099112C2211yescharacteristic, complemented
71#19099100C2211yescharacteristic, complemented
72#19099095C2211yescharacteristic
73#19099092C2211yescharacteristic, complemented
74#19099073—21no—
75C2×#14579143—21no—
76#19099046C2211yescharacteristic
77#19099038C2211yescharacteristic, complemented
78C4×D4×D79C2211yescharacteristic, complemented
79#19098956C2211yescharacteristic, complemented
80#19098949C2211yescharacteristic
81#19098948C2211yescharacteristic, complemented
82#19098945C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic
84#19098926C2211yescharacteristic, complemented
85#19098924C2211yescharacteristic, complemented
86#19098919C2211yescharacteristic, complemented
87#19098918C2211yescharacteristic, complemented
88#19098917C2211yescharacteristic, complemented
89#19098912C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098891C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic, complemented
94#19098884C2211yescharacteristic, complemented
95#19098883C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098870C2211yescharacteristic, complemented
99#19098868C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098862C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098841C2211yescharacteristic, complemented
106#19098818C2211yescharacteristic, complemented
107#19098815C2211yescharacteristic
108#19098814C2211yescharacteristic, complemented
109#19098812C2211yescharacteristic, complemented
110#19098811C2211yescharacteristic, complemented
111#19098811C2211yescharacteristic, complemented
112#19098807C2211yescharacteristic, complemented
113#19098806C2211yescharacteristic, complemented
114#19098799C2211yescharacteristic
115#19098792C2211yescharacteristic, complemented
116#19098787C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098780C2211yescharacteristic
121#19098780C2211yescharacteristic
122#19098780C2211yescharacteristic
123#19098780C2211yescharacteristic, complemented
124#19098780C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098779C2211yescharacteristic, complemented
127#19098778C2211yescharacteristic
128#19098775C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic, complemented
130#19098771C2211yescharacteristic, complemented
131#19098767C2211yescharacteristic, complemented
132#19098766C2211yescharacteristic, complemented
133#19098766C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic, complemented
137#19098761C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic, complemented
139#19098761C2211yescharacteristic, complemented
140#19098757C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic
142#19098756C2211yescharacteristic
143#19098756C2211yescharacteristic, complemented
144#19098725C2211yescharacteristic
145#19098724C2211yescharacteristic, complemented
146#19098723C2211yescharacteristic, complemented
147#19098722C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic
150#19098708C2211yescharacteristic, complemented
151#19098707C2211yescharacteristic
152#19098705C2211yescharacteristic, complemented
153#19098702C2211yescharacteristic, complemented
154#19098699C2211yescharacteristic, complemented
155#19098698C2211yescharacteristic
156#19098697C2211yescharacteristic
157#19098696C2211yescharacteristic, complemented
158#19098690C2211yescharacteristic, complemented
159C8×Dic158C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098667C2211yescharacteristic, complemented
163#19098664C2211yescharacteristic, complemented
164Q16×Dic79C2211yescharacteristic, complemented
165#19098654C2211yescharacteristic, complemented
166C4×#11929611C2211yescharacteristic, complemented
167C4×D632C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic, complemented
169C4×#11929609C2211yescharacteristic
170#19098643C2211yescharacteristic
171#19098641C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098638C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098634C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098614C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098589C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098572C2211yescharacteristic, complemented
183#19098564C2211yescharacteristic, complemented
184#19098563C2211yescharacteristic, complemented
185#19098561C2211yescharacteristic, complemented
186#19098560C2211yescharacteristic, complemented
187C2×#14579083C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#495×C79C2211yescharacteristic, complemented
193#465×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic
198#451×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79C2311yescharacteristic
210C22×C4×D79—21no—
211#14579188—42no—
212#14579187—42no—
213#14579186—42no—
214#14579185—42no—
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929612C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929611C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×D632C2311yescharacteristic
224C2×D632C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929608C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C2×#11929607C2311yescharacteristic
234#14579160C2311yescharacteristic
235#14579159C2311yescharacteristic
236#14579159C2311yescharacteristic
237#14579157—21no—
238#14579157C2311yescharacteristic
239#14579157C2311yescharacteristic
240#14579157C2311yescharacteristic
241#14579156—21no—
242#14579156—21no—
243#14579156—21no—
244#14579156—21no—
245#14579155—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154D411yescharacteristic
251#14579154D411yescharacteristic
252#14579153C2311yescharacteristic
253#14579152—21no—
254#14579152D411yescharacteristic
255#14579152C2311yescharacteristic
256#14579152C2311yescharacteristic
257#14579151—21no—
258#14579151—21no—
259#14579150—21no—
260#14579150C2311yescharacteristic
261#14579150C2311yescharacteristic
262#14579150C2311yescharacteristic
263#14579150C2311yescharacteristic
264#14579149C2311yescharacteristic
265#14579148D411yescharacteristic
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579146—21no—
270#14579146—21no—
271#14579146—21no—
272#14579145—21no—
273#14579145—21no—
274#14579145—21no—
275#14579145—21no—
276#14579144—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579143—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143—21no—
284#14579143—21no—
285#14579143—21no—
286#14579143—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143D411yescharacteristic
290#14579143D411yescharacteristic
291#14579142—21no—
292#14579142—21no—
293#14579141—21no—
294#14579141D411yescharacteristic
295#14579140—21no—
296#14579140C2311yescharacteristic
297#14579139—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579137—21no—
302#14579137—21no—
303#14579137—21no—
304#14579137C2311yescharacteristic
305#14579137C2311yescharacteristic
306#14579136—21no—
307#14579136C2311yescharacteristic
308#14579135—21no—
309#14579135—21no—
310#14579135—21no—
311#14579135C2311yescharacteristic
312#14579135C2311yescharacteristic
313#14579135C2311yescharacteristic
314#14579134—21no—
315#14579134—21no—
316#14579134—21no—
317#14579134—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579132—21no—
326#14579132—21no—
327#14579132D411yescharacteristic
328#14579132C2311yescharacteristic
329#14579131—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336Q8×Dic79C2311yescharacteristic
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339C4×Dic158C2311yescharacteristic
340#14579126C2311yescharacteristic
341C4×D316—21no—
342C4×D316C2311yescharacteristic
343C4×D316C2311yescharacteristic
344D4×Dic79—21no—
345D4×Dic79—21no—
346D4×Dic79—21no—
347D4×Dic79—21no—
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic
350D4×Dic79C2311yescharacteristic
351D4×Dic79C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354#14579123C2311yescharacteristic
355#14579123C2311yescharacteristic
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79C2311yescharacteristic
359C4×C22⋊D79C2311yescharacteristic
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363(C22⋊D79)⋊C4—21no—
364(C22⋊D79)⋊C4—21no—
365(C22⋊D79)⋊C4—21no—
366(C22⋊D79)⋊C4—21no—
367(C22⋊D79)⋊C4—21no—
368#14579120—21no—
369#14579120C2311yescharacteristic
370#14579120C2311yescharacteristic
371#14579120C2311yescharacteristic
372#14579119—21no—
373#14579118—21no—
374#14579118—21no—
375#14579117—21no—
376C2×C4⋊Dic79—21no—
377C2×C4⋊Dic79C2311yescharacteristic
378C2×Dic79⋊C4—21no—
379C2×Dic79⋊C4—21no—
380C4⋊C4×D79C2311yescharacteristic
381C2×C22⋊Dic79—21no—
382C2×C22⋊Dic79—21no—
383C2×(C2×D79)⋊C4—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C42×D79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579093C2311yescharacteristic
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#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
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#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#135×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79—42no—
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#124×C79—21no—
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79C2311yescharacteristic
462C22⋊Q8×C79C2311yescharacteristic
463#121×C79—21no—
464#121×C79—21no—
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#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929625—41no—
487#11929625—41no—
488#11929624—41no—
489#11929624—41no—
490#11929623—41no—
491#11929623—41no—
492#11929623—82no—
493C2×Dic158—21no—
494C2×Dic158C2×D411yescharacteristic
495C2×Dic158C2411yescharacteristic
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—41no—
500C2×D316—41no—
501C2×D316C2411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
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—82no—
518C2×C22⋊D79C2×D411yescharacteristic
519C2×C22⋊D79C2×D411yescharacteristic
520D4×D79—22no—
521D4×D79—41no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—82no—
538C2×C4×D79C2×D411yescharacteristic
539C2×C4×D79C2×D411yescharacteristic
540C2×C4×D79C2411yescharacteristic
541#11929614—41no—
542#11929613—41no—
543#11929612—22no—
544#11929612—41no—
545#11929611—41no—
546#11929611—41no—
547#11929611—41no—
548#11929611—41no—
549D632—41no—
550D632—41no—
551#11929609—22no—
552#11929609—22no—
553#11929609—41no—
554#11929609—41no—
555#11929609—41no—
556#11929608—41no—
557#11929608—41no—
558#11929607—41no—
559#11929607—41no—
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C2×C79⋊C8C2411yescharacteristic
563C2×C79⋊C8C2411yescharacteristic
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79C2×D411yescharacteristic
571C4⋊Dic79C2×D411yescharacteristic
572C4⋊Dic79C2×D411yescharacteristic
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79C2×D411yescharacteristic
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
633(C2×D79)⋊C4C2×D411yescharacteristic
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C24×C79—21no—
645#41×C79—22no—
646#41×C79—41no—
647#41×C79—41no—
648#41×C79—41no—
649C2×Q8×C79—21no—
650C2×Q8×C79—41no—
651C2×Q8×C79—41no—
652C2×Q8×C79C2411yescharacteristic
653C2×Q8×C79C2411yescharacteristic
654C2×Q8×C79C2411yescharacteristic
655C2×D4×C79—22no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—41no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79C2411yescharacteristic
671C22×C4×C79C2411yescharacteristic
672Q16×C79—41no—
673Q16×C79—41no—
674SD16×C79—22no—
675SD16×C79—22no—
676SD16×C79—41no—
677SD16×C79—41no—
678SD16×C79—41no—
679D8×C79—22no—
680D8×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79—41no—
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79C2×D411yescharacteristic
703C22⋊C4×C79C2×D411yescharacteristic
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—42no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79C22×D411yescharacteristic
713C23×C79C22×D411yescharacteristic
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—42no—
718C22×D79—42no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79C22×D411yescharacteristic
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—21no—
729Q8×C79—21no—
730Q8×C79—81no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—41no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79H(5,𝔽2)12yes—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—42no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C2511yescharacteristic
761C22⋊D79—41no—
762C22⋊D79—41no—
763C22⋊D79—42no—
764C22⋊D79—42no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79—81no—
784C2×Dic79—81no—
785C2×Dic79—81no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79—81no—
789C2×Dic79C22×D411yescharacteristic
790C2×Dic79C22×D411yescharacteristic
791C2×Dic79C22×D411yescharacteristic
792C2×Dic79C22×D411yescharacteristic
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796D316—21no—
797D316—21no—
798D316—21no—
799D316—21no—
800D316—21no—
801D316—21no—
802D316—81no—
803D316—81no—
804D316—81no—
805C4×D79—21no—
806C4×D79—21no—
807C4×D79—41no—
808C4×D79—41no—
809C4×D79—42no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
813C4×D79—81no—
814C4×D79—81no—
815C4×D79—81no—
816Dic158—21no—
817Dic158—21no—
818Dic158—41no—
819Dic158—81no—
820C8×C79—21no—
821C8×C79—21no—
822C8×C79—21no—
823C8×C79—21no—
824C79⋊C8—21no—
825C79⋊C8—21no—
826C79⋊C8—21no—
827C79⋊C8—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—22no—
833C22×C79—21no—
834C22×C79—21no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—162no—
844C22×C79C23×D411yescharacteristic
845C2×D79—21no—
846C2×D79—21no—
847C2×D79—21no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—84no—
858C2×D79—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—41no—
864C4×C79—41no—
865C4×C79—41no—
866C4×C79—41no—
867C4×C79—41no—
868C4×C79C2×H(5,𝔽2)11yescharacteristic
869C4×C79#58511yescharacteristic
870Dic79—21no—
871Dic79—21no—
872Dic79—21no—
873Dic79—21no—
874Dic79—21no—
875Dic79—21no—
876Dic79—21no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—42no—
884C2×C79—41no—
885C2×C79—41no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79#348811yescharacteristic
889C2×C79#358411yescharacteristic
890C2×C79#358511yescharacteristic
891D79—41no—
892D79—81no—
893D79—81no—
894D79—81no—
895#3562—791no—
896#3513—791no—
897#3401—791no—
898#3396—791no—
899#3370—791no—
900#3360—791no—
901#3330—791no—
902#3327—791no—
903#3326—791no—
904#3317—791no—
905#3306—791no—
906#3297—791no—
907#3282D7911yescharacteristic, complemented
908#3274—791no—
909#3273—791no—
910#3273—791no—
911#3267—791no—
912#3265—791no—
913#3260—791no—
914#3257—791no—
915#3256—791no—
916#3225—791no—
917#3220—791no—
918#3212—791no—
919#3122—791no—
920#3120—791no—
921#3105—791no—
922#3045—791no—
923#3042—791no—
924#3036—791no—
925#2993—791no—
926C79#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—791no—
928C2×AGL(1,ℤ/8)—791no—
929C2×AGL(1,ℤ/8)—791no—
930C2×AGL(1,ℤ/8)—791no—
931C2×#135C2×D7911yescharacteristic
932C22×SD16C2×D7911yescharacteristic, complemented
933#562—1581no—
934#560—1581no—
935#559—791no—
936#559—791no—
937#556—791no—
938#554—791no—
939#553—791no—
940#553—1581no—
941#553—1581no—
942#552—791no—
943#551—1581no—
944#551—1581no—
945#551—1581no—
946#550—791no—
947#548—791no—
948#548C2×D7911yescharacteristic, complemented
949#547—791no—
950#547—791no—
951#546—791no—
952#546—791no—
953#546—791no—
954#546—1581no—
955#546C2×D7911yescharacteristic
956D42—791no—
957#542—791no—
958#541—791no—
959#540—791no—
960#540—791no—
961#540—1581no—
962#539—1581no—
963#539—1581no—
964#538—1581no—
965#538—1581no—
966#538—1581no—
967#536—791no—
968#535—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#525—1581no—
974C2×#123—1581no—
975#520—791no—
976#518—791no—
977C2×C4×D4—791no—
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495C2×D7911yescharacteristic, complemented
983#493—791no—
984#490—791no—
985#489—791no—
986#488—791no—
987#488—791no—
988#488—791no—
989#487—791no—
990#484—791no—
991#484—791no—
992#483—791no—
993#482—791no—
994#482—791no—
995#481—791no—
996#479—791no—
997#479—791no—
998#479—791no—
999#479—791no—
1000#478—791no—
1001#478—791no—
1002#478—791no—
1003#478—791no—
1004#476—791no—
1005#474—791no—
1006#470—791no—
1007#469—791no—
1008#469—791no—
1009#468—791no—
1010#468—791no—
1011#468—791no—
1012#468—791no—
1013#468—791no—
1014#466—791no—
1015#465—791no—
1016#465C2×D7911yescharacteristic, complemented
1017#465C2×D7911yescharacteristic, complemented
1018#464—791no—
1019#464—791no—
1020#464C2×D7911yescharacteristic, complemented
1021#463—791no—
1022#463—791no—
1023#463—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#463—791no—
1031#463—791no—
1032#463—791no—
1033#463C2×D7911yescharacteristic, complemented
1034#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461—791no—
1039#461—791no—
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460—791no—
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459—791no—
1048#452—791no—
1049#452—791no—
1050#452—791no—
1051#452—791no—
1052#452C2×D7911yescharacteristic
1053#451C2×D7911yescharacteristic, complemented
1054#450—791no—
1055#449—791no—
1056#449—791no—
1057#449—791no—
1058#449—791no—
1059#449C2×D7911yescharacteristic, complemented
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447—791no—
1065#447C2×D7911yescharacteristic, complemented
1066#446—791no—
1067C8×Q8—791no—
1068#442—791no—
1069#442—791no—
1070#441—791no—
1071#440—791no—
1072C4×Q16—791no—
1073C4×SD16—791no—
1074C4×SD16—791no—
1075C4×SD16C2×D7911yescharacteristic, complemented
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8—791no—
1080#436—791no—
1081#436—791no—
1082#436—791no—
1083#435—791no—
1084#435—791no—
1085C8×D4C2×D7911yescharacteristic, complemented
1086#433—791no—
1087#433—791no—
1088#431—791no—
1089#424—791no—
1090#424—791no—
1091#423—791no—
1092#419—791no—
1093#417—791no—
1094#417—791no—
1095#417—791no—
1096#416—791no—
1097C2×#102—791no—
1098C2×#41—791no—
1099C2×#41—791no—
1100C2×#41—791no—
1101C2×#41—1581no—
1102C2×#41C22×D7911yescharacteristic
1103C2×#41C22×D7911yescharacteristic
1104C22×Q8C22×D7911yescharacteristic
1105C22×D4—791no—
1106C22×D4—791no—
1107C22×D4—1581no—
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—1581no—
1110AGL(1,ℤ/8)—3162no—
1111AGL(1,ℤ/8)—3162no—
1112AGL(1,ℤ/8)—3162no—
1113AGL(1,ℤ/8)—3162no—
1114#135—42no—
1115C2×Q16—791no—
1116C2×Q16C22×D7911yescharacteristic
1117C2×Q16C22×D7911yescharacteristic
1118C2×SD16—42no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16C22×D7911yescharacteristic
1127C2×SD16C22×D7911yescharacteristic
1128C2×SD16C22×D7911yescharacteristic
1129C2×SD16C22×D7911yescharacteristic
1130C2×SD16C22×D7911yescharacteristic
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8—791no—
1135C2×D8—791no—
1136C2×D8—791no—
1137C2×D8—791no—
1138C2×D8C22×D7911yescharacteristic
1139C2×D8C22×D7911yescharacteristic
1140C2×M16—791no—
1141C2×M16—791no—
1142C2×M16—791no—
1143C2×M16—791no—
1144C22×C8C22×D7911yescharacteristic
1145C22×C8C22×D7911yescharacteristic
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8—791no—
1149#127—791no—
1150#127—791no—
1151#127—791no—
1152#127—1581no—
1153#126—791no—
1154#126—791no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#126—1581no—
1163#126—1581no—
1164#125—791no—
1165#125—791no—
1166#125—791no—
1167#125—791no—
1168#125—1581no—
1169#125—1581no—
1170#125—1581no—
1171#124—21no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—791no—
1177#124—791no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124C22×D7911yescharacteristic
1183#124C22×D7911yescharacteristic
1184#123—21no—
1185#123—791no—
1186#123—791no—
1187#123—1581no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209C22⋊Q8—21no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—791no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8C22×D7911yescharacteristic
1224C22⋊Q8C22×D7911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—791no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—791no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
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#121C22×D7911yescharacteristic
1251#121C22×D7911yescharacteristic
1252#120—21no—
1253#120—1581no—
1254#120—1581no—
1255#120—1581no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259#120—1581no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8—791no—
1264C4×Q8—791no—
1265C4×Q8C22×D7911yescharacteristic
1266C4×D4—21no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296#117—791no—
1297#117—791no—
1298#117—791no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304C2×C4⋊C4—791no—
1305C2×C4⋊C4—791no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4—1581no—
1308C2×C4⋊C4—1581no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1581no—
1311C2×C22⋊C4—1581no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C42—791no—
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107—791no—
1321#106—791no—
1322#106—791no—
1323#106—791no—
1324#106C22×D7911yescharacteristic
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8—791no—
1332C4⋊C8—791no—
1333C4⋊C8—791no—
1334C4⋊C8C22×D7911yescharacteristic
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103—791no—
1340#103—791no—
1341#103—791no—
1342#103—791no—
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103C22×D7911yescharacteristic
1347#103C22×D7911yescharacteristic
1348#103C22×D7911yescharacteristic
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102C22×D7911yescharacteristic
1365#102C22×D7911yescharacteristic
1366#102C22×D7911yescharacteristic
1367C22⋊C8—791no—
1368C22⋊C8—791no—
1369C22⋊C8—791no—
1370C22⋊C8—791no—
1371C22⋊C8C22×D7911yescharacteristic
1372C22⋊C8C22×D7911yescharacteristic
1373#97—791no—
1374#97—791no—
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8C22×D7911yescharacteristic
1379C24—21no—
1380C24—1581no—
1381C24—1581no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3161no—
1387#41—3161no—
1388#41—3161no—
1389#41—3161no—
1390#41—3161no—
1391#41—3161no—
1392#41—6322no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—791no—
1397C2×Q8—791no—
1398C2×Q8—1581no—
1399C2×Q8C23×D7911yescharacteristic
1400C2×Q8C23×D7911yescharacteristic
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—3161no—
1412C2×D4—791no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—791no—
1416C2×D4—791no—
1417C2×D4—6322no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4—1582no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4D4×D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—791no—
1444C22×C4—791no—
1445C22×C4—791no—
1446C22×C4—6322no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4—1581no—
1457C22×C4—1581no—
1458C22×C4—1581no—
1459C22×C4—1581no—
1460C22×C4—1581no—
1461C22×C4—1581no—
1462C22×C4C23×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—3161no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—3161no—
1477SD16—3161no—
1478SD16—1582no—
1479D8—22no—
1480D8—41no—
1481D8—3161no—
1482D8—3161no—
1483D8—3161no—
1484D8—3161no—
1485D8—3161no—
1486D8—1582no—
1487D8—1582no—
1488M16—3161no—
1489M16—3161no—
1490M16—3161no—
1491M16—3161no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—791no—
1495C2×C8—791no—
1496C2×C8—791no—
1497C2×C8—791no—
1498C2×C8C23×D7911yescharacteristic
1499C2×C8C23×D7911yescharacteristic
1500C2×C8C23×D7911yescharacteristic
1501C2×C8C23×D7911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—791no—
1506C4⋊C4—791no—
1507C4⋊C4—791no—
1508C4⋊C4—791no—
1509C4⋊C4—791no—
1510C4⋊C4—791no—
1511C4⋊C4—791no—
1512C4⋊C4—791no—
1513C4⋊C4—791no—
1514C4⋊C4—791no—
1515C4⋊C4—791no—
1516C4⋊C4—791no—
1517C4⋊C4—791no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4—1581no—
1525C4⋊C4—1581no—
1526C4⋊C4—1581no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4D4×D7911yescharacteristic
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—791no—
1551C22⋊C4—791no—
1552C22⋊C4—791no—
1553C22⋊C4—791no—
1554C22⋊C4—791no—
1555C22⋊C4—791no—
1556C22⋊C4—791no—
1557C22⋊C4—791no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1588C22⋊C4D4×D7911yescharacteristic
1589C42—21no—
1590C42—791no—
1591C42—791no—
1592C42—791no—
1593C42—791no—
1594C42—791no—
1595C42—1581no—
1596C42—1581no—
1597C42—1581no—
1598C42—1581no—
1599C42—1581no—
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—81no—
1606C23—81no—
1607C23—3162no—
1608C23—3162no—
1609C23—791no—
1610C23—6321no—
1611C23—6321no—
1612C23—6321no—
1613C23—6321no—
1614C23—1581no—
1615C23—1581no—
1616C23—1581no—
1617C23C2×D4×D7911yescharacteristic
1618C23C2×D4×D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—81no—
1626Q8—3161no—
1627Q8—6321no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—3162no—
1642D4—3162no—
1643D4—3161no—
1644D4—3161no—
1645D4—6321no—
1646D4—6321no—
1647D4—6321no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—1581no—
1660D4—1581no—
1661D4—1581no—
1662D4—1581no—
1663D4—1581no—
1664D4—1581no—
1665D4#1457920612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—3161no—
1680C2×C4—3161no—
1681C2×C4—3162no—
1682C2×C4—791no—
1683C2×C4—791no—
1684C2×C4—791no—
1685C2×C4—791no—
1686C2×C4—791no—
1687C2×C4—791no—
1688C2×C4—791no—
1689C2×C4—6321no—
1690C2×C4—6321no—
1691C2×C4—6321no—
1692C2×C4—6321no—
1693C2×C4—6321no—
1694C2×C4—6321no—
1695C2×C4—6321no—
1696C2×C4—6321no—
1697C2×C4—6321no—
1698C2×C4—6321no—
1699C2×C4—6321no—
1700C2×C4—6321no—
1701C2×C4—6321no—
1702C2×C4—6321no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4—1581no—
1710C2×C4C2×D4×D7911yescharacteristic
1711C2×C4C2×D4×D7911yescharacteristic
1712C2×C4C2×D4×D7911yescharacteristic
1713C2×C4C2×D4×D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1581no—
1720C8—1581no—
1721C8—1581no—
1722C8—1581no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—3161no—
1740C22—3161no—
1741C22—3161no—
1742C22—3161no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—3161no—
1748C22—6324no—
1749C22—1581no—
1750C22—1581no—
1751C22—1581no—
1752C22—12642no—
1753C22C22×D4×D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—3161no—
1764C4—3161no—
1765C4—3161no—
1766C4—3161no—
1767C4—3161no—
1768C4—1581no—
1769C4—1581no—
1770C4—1581no—
1771C4—1581no—
1772C4—1581no—
1773C4—1581no—
1774C4—1581no—
1775C4C2×#1457920611yescharacteristic
1776C4#1909939811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—3161no—
1783C2—6321no—
1784C2—6321no—
1785C2—6321no—
1786C2#2377706011yescharacteristic
1787C2#2377816911yescharacteristic
1788C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3282C2
socleC22×C79C23×D4
hypercenter#3282D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #23777991C2semidirect
2. #23777329C2semidirect
3. #23776470C2semidirect
4. #23776409C2semidirect
5. #23776157C2semidirect
6. #23776050C2semidirect
7. #23775698C2semidirect
8. #23775672C2semidirect
9. #23775653C2semidirect
10. #23775532C2semidirect
11. #23775367C2semidirect
12. #23775252C2semidirect
13. #23775018C2semidirect
14. #23775007C2semidirect
15. #23775004C2semidirect
16. #23774925C2semidirect
17. #23774895C2semidirect
18. #23774840C2semidirect
19. #23774814C2semidirect
20. #23774799C2semidirect
21. #23774515C2semidirect
22. #23774448C2semidirect
23. #23774371C2semidirect
24. #23773637C2semidirect
25. #23773615C2semidirect
26. #23773451C2semidirect
27. #23772937C2semidirect
28. #23772909C2semidirect
29. #23772862C2semidirect
30. #23772550C2semidirect
31. C79×#3282C2semidirect
35. C2×#14579185C22semidirect
38. #19099295C22semidirect
39. #19099295C22semidirect
40. #19099285C22semidirect
41. #19099272C22semidirect
45. #19099247C22semidirect
52. #19099212C22semidirect
53. #19099209C22semidirect
54. #19099204C22semidirect
57. D4×C22⋊D79C22semidirect
58. #19099186C22semidirect
59. #19099173C22semidirect
61. #19099166C22semidirect
68. #19099137C22semidirect
69. #19099127C22semidirect
70. #19099112C22semidirect
71. #19099100C22semidirect
73. #19099092C22semidirect
77. #19099038C22semidirect
78. C4×D4×D79C22semidirect
79. #19098956C22semidirect
81. #19098948C22semidirect
82. #19098945C22semidirect
84. #19098926C22semidirect
85. #19098924C22semidirect
86. #19098919C22semidirect
87. #19098918C22semidirect
88. #19098917C22semidirect
89. #19098912C22semidirect
90. #19098899C22semidirect
91. #19098897C22semidirect
92. #19098891C22semidirect
93. #19098888C22semidirect
94. #19098884C22semidirect
95. #19098883C22semidirect
96. #19098873C22semidirect
97. #19098872C22semidirect
98. #19098870C22semidirect
99. #19098868C22semidirect
100. #19098865C22semidirect
101. #19098864C22semidirect
102. #19098862C22semidirect
103. #19098861C22semidirect
104. #19098852C22semidirect
105. #19098841C22semidirect
106. #19098818C22semidirect
108. #19098814C22semidirect
109. #19098812C22semidirect
110. #19098811C22semidirect
111. #19098811C22semidirect
112. #19098807C22semidirect
113. #19098806C22semidirect
115. #19098792C22semidirect
116. #19098787C22semidirect
117. #19098787C22semidirect
118. #19098781C22semidirect
119. #19098781C22semidirect
123. #19098780C22semidirect
124. #19098780C22semidirect
125. #19098780C22semidirect
126. #19098779C22semidirect
128. #19098775C22semidirect
129. #19098775C22semidirect
130. #19098771C22semidirect
131. #19098767C22semidirect
132. #19098766C22semidirect
133. #19098766C22semidirect
134. #19098766C22semidirect
135. #19098766C22semidirect
136. #19098762C22semidirect
137. #19098761C22semidirect
138. #19098761C22semidirect
139. #19098761C22semidirect
140. #19098757C22semidirect
143. #19098756C22semidirect
145. #19098724C22semidirect
146. #19098723C22semidirect
147. #19098722C22semidirect
148. #19098712C22semidirect
150. #19098708C22semidirect
152. #19098705C22semidirect
153. #19098702C22semidirect
154. #19098699C22semidirect
157. #19098696C22semidirect
158. #19098690C22semidirect
159. C8×Dic158C22semidirect
160. #19098675C22semidirect
161. #19098672C22semidirect
162. #19098667C22semidirect
163. #19098664C22semidirect
164. Q16×Dic79C22semidirect
165. #19098654C22semidirect
166. C4×#11929611C22semidirect
167. C4×D632C22semidirect
168. D8×Dic79C22semidirect
171. #19098641C22semidirect
172. #19098638C22semidirect
173. #19098638C22semidirect
174. #19098634C22semidirect
175. #19098634C22semidirect
176. #19098621C22semidirect
177. #19098621C22semidirect
178. #19098614C22semidirect
179. #19098589C22semidirect
180. #19098589C22semidirect
181. #19098585C22semidirect
182. #19098572C22semidirect
183. #19098564C22semidirect
184. #19098563C22semidirect
185. #19098561C22semidirect
186. #19098560C22semidirect
187. C2×#14579083C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
192. #495×C79C22semidirect
193. #465×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #463×C79C22semidirect
198. #451×C79C22semidirect
199. #449×C79C22semidirect
200. #447×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
907. #3282D79semidirect
926. C79#62027semidirect
932. C22×SD16C2×D79semidirect
948. #548C2×D79semidirect
982. #495C2×D79semidirect
1016. #465C2×D79semidirect
1017. #465C2×D79semidirect
1020. #464C2×D79semidirect
1033. #463C2×D79semidirect
1053. #451C2×D79semidirect
1059. #449C2×D79semidirect
1065. #447C2×D79semidirect
1075. C4×SD16C2×D79semidirect
1085. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779912
#237773292
#237764702
#237764092
#237761572
#237760502
#237756982
#237756722
#237756532
#237755322
#237753672
#237752522
#237750182
#237750072
#237750042
#237749252
#237748952
#237748402
#237748142
#237747992
#237745152
#237744482
#237743712
#237736372
#237736152
#237734512
#237729372
#237729092
#237728622
#237725502
C79×#32822
#6202779