Finite Group Databasebeta

← #35183754

Subgroups — #35183754

Order 20224.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777909C211yesmaximal, characteristic, complemented
2#23777416C211yesmaximal, characteristic, complemented
3#23776471C211yesmaximal, characteristic, complemented
4#23776463C211yesmaximal, characteristic, complemented
5#23776217C211yesmaximal, characteristic, complemented
6#23776211C211yesmaximal, characteristic, complemented
7#23775629C211yesmaximal, characteristic, complemented
8#23775627C211yesmaximal, characteristic, complemented
9#23775550C211yesmaximal, characteristic, complemented
10#23775464C211yesmaximal, characteristic, complemented
11#23775462C211yesmaximal, characteristic, complemented
12#23775054C211yesmaximal, characteristic, complemented
13#23775050C211yesmaximal, characteristic, complemented
14#23774915C211yesmaximal, characteristic, complemented
15#23774906C211yesmaximal, characteristic, complemented
16#23774899C211yesmaximal, characteristic, complemented
17#23774892C211yesmaximal, characteristic, complemented
18#23774857C211yesmaximal, characteristic, complemented
19#23774855C211yesmaximal, characteristic, complemented
20#23774789C211yesmaximal, characteristic, complemented
21#23774492C211yesmaximal, characteristic, complemented
22#23774490C211yesmaximal, characteristic, complemented
23#23774404C211yesmaximal, characteristic, complemented
24#23773632C211yesmaximal, characteristic, complemented
25#23773624C211yesmaximal, characteristic, complemented
26#23773547C211yesmaximal, characteristic, complemented
27#23772924C211yesmaximal, characteristic, complemented
28#23772920C211yesmaximal, characteristic, complemented
29#23772889C211yesmaximal, characteristic, complemented
30#23772566C211yesmaximal, characteristic, complemented
31C79×#3319C211yesmaximal, characteristic, complemented
32C2×#14579194C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C2×#14579190C2211yescharacteristic, complemented
35C2×#14579185C2211yescharacteristic
36C22×#11929613C2211yescharacteristic, complemented
37C22×#11929612C2211yescharacteristic, complemented
38#19099310—21no—
39#19099306—21no—
40#19099296C2211yescharacteristic
41#19099295C2211yescharacteristic
42#19099293C2211yescharacteristic, complemented
43#19099283C2211yescharacteristic, complemented
44#19099282—21no—
45#19099282—21no—
46#19099281—21no—
47#19099281C2211yescharacteristic, complemented
48#19099281C2211yescharacteristic, complemented
49#19099277—21no—
50D4×Dic158C2211yescharacteristic, complemented
51#19099223C2211yescharacteristic
52#19099220C2211yescharacteristic
53#19099219C2211yescharacteristic, complemented
54#19099219C2211yescharacteristic, complemented
55#19099210—21no—
56#19099209C2211yescharacteristic
57#19099203—21no—
58#19099197C2211yescharacteristic
59D4×C22⋊D79C2211yescharacteristic
60#19099186C2211yescharacteristic
61#19099180C2211yescharacteristic
62#19099180C2211yescharacteristic, complemented
63#19099180C2211yescharacteristic, complemented
64#19099177—21no—
65#19099177—21no—
66#19099151—21no—
67#19099149—21no—
68#19099145—21no—
69#19099130C2211yescharacteristic
70#19099127C2211yescharacteristic
71#19099123—21no—
72#19099118C2211yescharacteristic, complemented
73#19099116—21no—
74#19099110C2211yescharacteristic
75#19099095C2211yescharacteristic
76#19099094—21no—
77#124×D79C2211yescharacteristic
78#19099040C2211yescharacteristic, complemented
79#19099040C2211yescharacteristic, complemented
80C4×#11929623C2211yescharacteristic, complemented
81#19098958C2211yescharacteristic, complemented
82#19098957C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic
84#19098951C2211yescharacteristic
85#19098946C2211yescharacteristic, complemented
86#19098944C2211yescharacteristic, complemented
87#19098925C2211yescharacteristic, complemented
88#19098924C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098908C2211yescharacteristic
91#19098908C2211yescharacteristic
92#19098904C2211yescharacteristic, complemented
93#19098889C2211yescharacteristic, complemented
94#19098887C2211yescharacteristic
95#19098885C2211yescharacteristic, complemented
96#19098857C2211yescharacteristic, complemented
97#19098857C2211yescharacteristic, complemented
98#19098857C2211yescharacteristic, complemented
99#19098856C2211yescharacteristic, complemented
100#19098847C2211yescharacteristic, complemented
101#19098842C2211yescharacteristic, complemented
102#19098841C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098840C2211yescharacteristic, complemented
105#19098810C2211yescharacteristic, complemented
106#19098810C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic
108#19098808C2211yescharacteristic, complemented
109#19098808C2211yescharacteristic, complemented
110#19098807C2211yescharacteristic
111#19098807C2211yescharacteristic, complemented
112#19098804C2211yescharacteristic, complemented
113#19098802C2211yescharacteristic, complemented
114#19098797C2211yescharacteristic
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098788C2211yescharacteristic, complemented
119#19098788C2211yescharacteristic, complemented
120#19098786C2211yescharacteristic, complemented
121#19098784C2211yescharacteristic, complemented
122#19098784C2211yescharacteristic, complemented
123#19098784C2211yescharacteristic, complemented
124#19098784C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098784C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098782C2211yescharacteristic, complemented
129#19098780C2211yescharacteristic, complemented
130#19098778C2211yescharacteristic, complemented
131#19098777C2211yescharacteristic, complemented
132#19098776C2211yescharacteristic, complemented
133#19098776C2211yescharacteristic, complemented
134#19098769C2211yescharacteristic, complemented
135#19098768C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic
137#19098762C2211yescharacteristic
138#19098762C2211yescharacteristic
139#19098762C2211yescharacteristic
140#19098762C2211yescharacteristic, complemented
141#19098762C2211yescharacteristic, complemented
142#19098762C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098725C2211yescharacteristic, complemented
146#19098721C2211yescharacteristic, complemented
147#19098720C2211yescharacteristic, complemented
148#19098720C2211yescharacteristic, complemented
149#19098718C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic, complemented
151#19098715C2211yescharacteristic
152#19098715C2211yescharacteristic
153#19098714C2211yescharacteristic, complemented
154#19098709C2211yescharacteristic, complemented
155#19098706C2211yescharacteristic, complemented
156#19098705C2211yescharacteristic, complemented
157#19098704C2211yescharacteristic
158#19098701C2211yescharacteristic
159#19098696C2211yescharacteristic, complemented
160#19098692C2211yescharacteristic, complemented
161#19098691C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic, complemented
163#19098669C2211yescharacteristic, complemented
164#19098667C2211yescharacteristic, complemented
165#19098665C2211yescharacteristic, complemented
166#19098663C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098657C2211yescharacteristic, complemented
170#19098655C2211yescharacteristic, complemented
171#19098654C2211yescharacteristic, complemented
172#19098650C2211yescharacteristic, complemented
173#19098639C2211yescharacteristic, complemented
174#19098638C2211yescharacteristic, complemented
175#19098635C2211yescharacteristic, complemented
176#19098634C2211yescharacteristic, complemented
177#19098631C2211yescharacteristic, complemented
178#19098621C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098618C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098589C2211yescharacteristic, complemented
183#19098585C2211yescharacteristic, complemented
184#19098570C2211yescharacteristic, complemented
185#19098567C2211yescharacteristic, complemented
186#19098566C2211yescharacteristic
187#19098557C2211yescharacteristic, complemented
188#555×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic
193#474×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×C22⋊D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213#14579194—42no—
214#14579191—42no—
215#14579190—42no—
216#14579185—42no—
217C2×Dic316C2311yescharacteristic
218C2×Dic316C2311yescharacteristic
219C2×Dic316C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929614C2311yescharacteristic
223C2×#11929613—42no—
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929613C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929612—42no—
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929612C2311yescharacteristic
237C2×#11929612C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929607C2311yescharacteristic
242C2×#11929607C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244#14579161C2311yescharacteristic
245#14579160—21no—
246#14579160—21no—
247#14579160C2311yescharacteristic
248#14579160C2311yescharacteristic
249#14579160C2311yescharacteristic
250#14579159—21no—
251#14579159—21no—
252#14579157C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579156—21no—
256#14579155—21no—
257#14579155—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579154—21no—
265#14579154D411yescharacteristic
266#14579154D411yescharacteristic
267#14579152—21no—
268#14579152D411yescharacteristic
269#14579150C2311yescharacteristic
270#14579150C2311yescharacteristic
271#14579149C2311yescharacteristic
272#14579148—21no—
273#14579148—21no—
274#14579148—21no—
275#14579148—21no—
276#14579148D411yescharacteristic
277#14579148C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579148C2311yescharacteristic
280#14579148C2311yescharacteristic
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579147—21no—
288#14579147—21no—
289#14579147—21no—
290#14579147—21no—
291#14579147—21no—
292#14579146—21no—
293#14579145—21no—
294#14579144—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143D411yescharacteristic
299#14579143D411yescharacteristic
300#14579142—21no—
301#14579142—21no—
302#14579142—21no—
303#14579141—21no—
304#14579141D411yescharacteristic
305#14579141C2311yescharacteristic
306#14579141C2311yescharacteristic
307#14579140—21no—
308#14579140—21no—
309#14579140C2311yescharacteristic
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579139—21no—
313#14579138—21no—
314#14579138—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138—21no—
320#14579137—21no—
321#14579136C2311yescharacteristic
322#14579135—21no—
323#14579135—21no—
324#14579135C2311yescharacteristic
325#14579134—21no—
326#14579134—21no—
327#14579134—21no—
328#14579134—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133—21no—
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132D411yescharacteristic
336#14579132C2311yescharacteristic
337#14579131—21no—
338#14579130—21no—
339#14579130—21no—
340#14579130—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346Q8×Dic79—21no—
347Q8×Dic79C2311yescharacteristic
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158—21no—
351C4×Dic158—21no—
352C4×Dic158—21no—
353C4×Dic158—21no—
354C4×Dic158C2311yescharacteristic
355C4×Dic158C2311yescharacteristic
356#14579126—21no—
357#14579126C2311yescharacteristic
358#14579126C2311yescharacteristic
359#14579126C2311yescharacteristic
360#14579126C2311yescharacteristic
361#14579126C2311yescharacteristic
362#14579126C2311yescharacteristic
363#14579126C2311yescharacteristic
364#14579126C2311yescharacteristic
365C4×D316C2311yescharacteristic
366D4×Dic79—21no—
367D4×Dic79—21no—
368D4×Dic79—21no—
369D4×Dic79C2311yescharacteristic
370D4×Dic79C2311yescharacteristic
371#14579123—21no—
372#14579123C2311yescharacteristic
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79—21no—
376C4×C22⋊D79—21no—
377C4×C22⋊D79C2311yescharacteristic
378C4×C22⋊D79C2311yescharacteristic
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381#14579120—21no—
382#14579120C2311yescharacteristic
383#14579120C2311yescharacteristic
384#14579119—21no—
385#14579119C2311yescharacteristic
386#14579117—21no—
387#14579117—21no—
388#14579117—21no—
389#14579117—21no—
390#14579117—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C2×C4×Dic79—21no—
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579092C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×M16×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449#124×C79—21no—
450#124×C79—21no—
451#124×C79C2311yescharacteristic
452#123×C79—21no—
453C22⋊Q8×C79C2311yescharacteristic
454#121×C79—21no—
455#121×C79—21no—
456#121×C79C2311yescharacteristic
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463#117×C79—21no—
464#117×C79C2311yescharacteristic
465#117×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×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#11929624—41no—
487#11929624—41no—
488#11929624—82no—
489#11929623—22no—
490#11929623—41no—
491C2×Dic158—22no—
492C2×Dic158—22no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—21no—
499C2×Dic158—41no—
500C2×Dic158—41no—
501C2×Dic158C2×D411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×Dic158C2411yescharacteristic
505C2×Dic158C2411yescharacteristic
506Q8×D79—41no—
507Q8×D79—41no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—41no—
511C2×D316—41no—
512C2×D316C2411yescharacteristic
513C2×D316C2411yescharacteristic
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—82no—
526C2×C22⋊D79C2×D411yescharacteristic
527C2×C22⋊D79C2×D411yescharacteristic
528D4×D79—41no—
529D4×D79—41no—
530D4×D79—82no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C22×Dic79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79C2×D411yescharacteristic
541C2×C4×D79C2×D411yescharacteristic
542C2×C4×D79C2411yescharacteristic
543Dic316—22no—
544Dic316—41no—
545Dic316—41no—
546#11929614—22no—
547#11929614—41no—
548#11929614—41no—
549#11929613—22no—
550#11929613—22no—
551#11929613—41no—
552#11929613—41no—
553#11929613—41no—
554#11929613—41no—
555#11929612—22no—
556#11929612—22no—
557#11929612—41no—
558#11929612—41no—
559#11929612—41no—
560#11929612—41no—
561#11929612—41no—
562#11929609—41no—
563#11929609—41no—
564#11929608—41no—
565#11929607—41no—
566#11929607—41no—
567C2×C79⋊C8—41no—
568C2×C79⋊C8C2411yescharacteristic
569C2×C79⋊C8C2411yescharacteristic
570C2×C79⋊C8C2411yescharacteristic
571C2×C79⋊C8C2411yescharacteristic
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79C2×D411yescharacteristic
578C4⋊Dic79C2×D411yescharacteristic
579C4⋊Dic79C2×D411yescharacteristic
580C4⋊Dic79C2×D411yescharacteristic
581C4⋊Dic79C2×D411yescharacteristic
582C4⋊Dic79C2411yescharacteristic
583C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79C2×D411yescharacteristic
618C22⋊Dic79C2×D411yescharacteristic
619C22⋊Dic79C2×D411yescharacteristic
620C22⋊Dic79C2×D411yescharacteristic
621C22⋊Dic79C2×D411yescharacteristic
622C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4C2×D411yescharacteristic
637(C2×D79)⋊C4C2×D411yescharacteristic
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79—21no—
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2×D411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C4×Dic79C2411yescharacteristic
654C24×C79—21no—
655#41×C79—41no—
656#41×C79—41no—
657C2×Q8×C79—21no—
658C2×Q8×C79C2411yescharacteristic
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79—41no—
666C2×D4×C79C2×D411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675SD16×C79—41no—
676D8×C79—41no—
677D8×C79—41no—
678M16×C79—41no—
679C2×C8×C79—41no—
680C2×C8×C79C2411yescharacteristic
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79C2×D411yescharacteristic
687C4⋊C4×C79C2411yescharacteristic
688C4⋊C4×C79C2411yescharacteristic
689C4⋊C4×C79C2411yescharacteristic
690C4⋊C4×C79C2411yescharacteristic
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
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×C79C2×D411yescharacteristic
702C22⋊C4×C79C2×D411yescharacteristic
703C42×C79—21no—
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79C22×D411yescharacteristic
713C23×C79C22×D411yescharacteristic
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—42no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79C22×D411yescharacteristic
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—81no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—41no—
733D4×C79—81no—
734D4×C79—81no—
735D4×C79—81no—
736D4×C79—81no—
737D4×C79—81no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—42no—
748C2×C4×C79—81no—
749C2×C4×C79—81no—
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C22×D411yescharacteristic
753C2×C4×C79C22×D411yescharacteristic
754C2×C4×C79C2511yescharacteristic
755C22⋊D79—41no—
756C22⋊D79—41no—
757C22⋊D79—42no—
758C22⋊D79—42no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—42no—
775C2×Dic79—42no—
776C2×Dic79—42no—
777C2×Dic79—81no—
778C2×Dic79—81no—
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786D316—21no—
787D316—21no—
788D316—21no—
789D316—21no—
790D316—42no—
791D316—81no—
792C4×D79—21no—
793C4×D79—21no—
794C4×D79—41no—
795C4×D79—41no—
796C4×D79—81no—
797C4×D79—81no—
798C4×D79—81no—
799C4×D79—81no—
800Dic158—21no—
801Dic158—21no—
802Dic158—21no—
803Dic158—21no—
804Dic158—21no—
805Dic158—21no—
806Dic158—21no—
807Dic158—41no—
808Dic158—42no—
809Dic158—42no—
810Dic158—81no—
811Dic158—81no—
812Dic158—81no—
813Dic158—81no—
814Dic158H(5,𝔽2)12yes—
815C8×C79—21no—
816C8×C79—21no—
817C8×C79—21no—
818C8×C79—21no—
819C79⋊C8—21no—
820C79⋊C8—21no—
821C79⋊C8—21no—
822C79⋊C8—21no—
823C22×C79—21no—
824C22×C79—21no—
825C22×C79—21no—
826C22×C79—21no—
827C22×C79—21no—
828C22×C79—21no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—162no—
839C22×C79C23×D411yescharacteristic
840C2×D79—21no—
841C2×D79—21no—
842C2×D79—21no—
843C2×D79—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—162no—
850C2×D79—162no—
851C4×C79—21no—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79—41no—
860C4×C79C2×H(5,𝔽2)11yescharacteristic
861C4×C79#58511yescharacteristic
862Dic79—21no—
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—22no—
869Dic79—21no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875#62092—791nomaximal, Sylow
876C2×C79—41no—
877C2×C79—41no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79—81no—
881C2×C79#348811yescharacteristic
882C2×C79#358511yescharacteristic
883C2×C79#358611yescharacteristic
884D79—41no—
885D79—81no—
886D79—81no—
887#3558—791no—
888#3518—791no—
889#3401—791no—
890#3401—791no—
891#3375—791no—
892#3375—791no—
893#3324—791no—
894#3324—791no—
895#3319—791no—
896#3319D7911yescharacteristic, complemented
897#3313—791no—
898#3313—791no—
899#3277—791no—
900#3277—791no—
901#3266—791no—
902#3266—791no—
903#3265—791no—
904#3265—791no—
905#3262—791no—
906#3262—791no—
907#3254—791no—
908#3224—791no—
909#3224—791no—
910#3215—791no—
911#3121—791no—
912#3121—791no—
913#3115—791no—
914#3043—791no—
915#3043—791no—
916#3040—791no—
917#2995—791no—
918C79#6209211yescharacteristic, complemented, Sylow
919C2×#137—791no—
920C2×#137—791no—
921C2×#137—791no—
922C2×AGL(1,ℤ/8)—791no—
923C22×SD16—791no—
924C22×SD16—791no—
925#562—1581no—
926H(3,𝔽4)—1581no—
927#559—791no—
928#559—791no—
929Q82—791no—
930#556—791no—
931#556—791no—
932#556—791no—
933#556—1581no—
934#556—1581no—
935#556—1581no—
936#555—1581no—
937#555C2×D7911yescharacteristic, complemented
938D4×Q8—791no—
939#548—791no—
940#548—791no—
941#548—791no—
942#548—791no—
943#546—791no—
944#546—1581no—
945#546—1581no—
946#546C2×D7911yescharacteristic
947D42—791no—
948D42—791no—
949#542—791no—
950#542—791no—
951#542—791no—
952#542—791no—
953#542—1581no—
954#542—1581no—
955#538—1581no—
956#538—1581no—
957#538—1581no—
958#535—791no—
959#535—791no—
960#534—1581no—
961#533—791no—
962#533—1581no—
963#532—791no—
964#529—791no—
965#529—1581no—
966C2×#124—791no—
967#519—791no—
968#519—791no—
969C4×#41—791no—
970#497—791no—
971#497—791no—
972#496—791no—
973#496—791no—
974#495—791no—
975#495—791no—
976#489—791no—
977#489—791no—
978#489—791no—
979#489C2×D7911yescharacteristic, complemented
980#486—791no—
981#486—791no—
982#485—791no—
983#485C2×D7911yescharacteristic, complemented
984#482—791no—
985#482—791no—
986#482—791no—
987#482C2×D7911yescharacteristic
988#477—791no—
989#477—791no—
990#477—791no—
991#477—791no—
992#475—791no—
993#474—791no—
994#474—791no—
995#474—791no—
996#474—791no—
997#474C2×D7911yescharacteristic, complemented
998#468—791no—
999#468—791no—
1000#468—791no—
1001#468—791no—
1002#468—791no—
1003#468—791no—
1004#468—791no—
1005#468C2×D7911yescharacteristic, complemented
1006#467—791no—
1007#467—791no—
1008#466—791no—
1009#466C2×D7911yescharacteristic
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#464—791no—
1022#464—791no—
1023#464—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463C2×D7911yescharacteristic, complemented
1030#461—791no—
1031#461—791no—
1032#460—791no—
1033#460—791no—
1034#460—791no—
1035#460—791no—
1036#460—791no—
1037#460—791no—
1038#460—791no—
1039#459—791no—
1040#452—791no—
1041#452—791no—
1042#451—791no—
1043#451—791no—
1044#451—791no—
1045#451—791no—
1046#450—791no—
1047#450—791no—
1048#450—791no—
1049#450—791no—
1050#449—791no—
1051#449—791no—
1052#449—791no—
1053#449C2×D7911yescharacteristic, complemented
1054#448—791no—
1055#448—791no—
1056#447—791no—
1057#447C2×D7911yescharacteristic, complemented
1058#446—791no—
1059#446—791no—
1060#442—791no—
1061#442C2×D7911yescharacteristic, complemented
1062#441—791no—
1063#441—791no—
1064#440—791no—
1065#440—791no—
1066#440—791no—
1067#440—791no—
1068C4×Q16—791no—
1069C4×Q16—791no—
1070C4×SD16—791no—
1071C4×SD16—791no—
1072#436—791no—
1073#436—791no—
1074#435—791no—
1075#435—791no—
1076#435—791no—
1077#435C2×D7911yescharacteristic, complemented
1078#433—791no—
1079#433—791no—
1080#432—791no—
1081#424—791no—
1082#424—791no—
1083#423—791no—
1084#419—791no—
1085#418—791no—
1086#418—791no—
1087#418C2×D7911yescharacteristic, complemented
1088#416—791no—
1089#416C2×D7911yescharacteristic, complemented
1090C2×#41—791no—
1091C2×#41—791no—
1092C2×#41—1581no—
1093C2×#41C22×D7911yescharacteristic
1094C22×Q8—791no—
1095C22×Q8—791no—
1096C22×Q8—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4—1581no—
1101C22×D4C22×D7911yescharacteristic
1102#137—3162no—
1103#137—3162no—
1104#137—3162no—
1105AGL(1,ℤ/8)—3162no—
1106C2×Q16—791no—
1107C2×Q16—791no—
1108C2×Q16—791no—
1109C2×Q16—791no—
1110C2×Q16—791no—
1111C2×Q16—791no—
1112C2×SD16—3162no—
1113C2×SD16—3162no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16—791no—
1127C2×SD16C22×D7911yescharacteristic
1128C2×D8—791no—
1129C2×D8—791no—
1130C2×D8C22×D7911yescharacteristic
1131C2×D8C22×D7911yescharacteristic
1132C2×M16—791no—
1133C2×M16—791no—
1134C2×M16—791no—
1135C2×M16C22×D7911yescharacteristic
1136C22×C8—791no—
1137C22×C8C22×D7911yescharacteristic
1138C4⋊Q8—791no—
1139C4⋊Q8—791no—
1140C4⋊Q8—791no—
1141C4⋊Q8—791no—
1142C4⋊Q8—1581no—
1143C4⋊Q8—1581no—
1144C4⋊Q8—1581no—
1145C4⋊Q8—1581no—
1146C4⋊Q8C22×D7911yescharacteristic
1147#127—791no—
1148#127—791no—
1149#127—791no—
1150#126—791no—
1151#126—791no—
1152#126—1581no—
1153#126—1581no—
1154#126—1581no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#125—791no—
1163#125—1581no—
1164#124—21no—
1165#124—21no—
1166#124—791no—
1167#124—791no—
1168#124—791no—
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—1581no—
1175#124—1581no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124C22×D7911yescharacteristic
1190#123—21no—
1191#123—791no—
1192#123—791no—
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—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
1207C22⋊Q8—791no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8C22×D7911yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121C22×D7911yescharacteristic
1240#121C22×D7911yescharacteristic
1241#121C22×D7911yescharacteristic
1242#120—21no—
1243#120—1581no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251#120—1581no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8—791no—
1258C4×Q8—791no—
1259C4×Q8—791no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8—1581no—
1266C4×Q8—1581no—
1267C4×Q8—1581no—
1268C4×Q8—1581no—
1269C4×Q8—1581no—
1270C4×Q8—1581no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—1581no—
1278C4×D4—1581no—
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×D4C22×D7911yescharacteristic
1288C4×D4C22×D7911yescharacteristic
1289C4×D4C22×D7911yescharacteristic
1290#117—21no—
1291#117—791no—
1292#117—791no—
1293#117—791no—
1294#117—1581no—
1295#117—1581no—
1296#117—1581no—
1297#117—1581no—
1298#117—1581no—
1299#117—1581no—
1300#117—1581no—
1301#117C22×D7911yescharacteristic
1302#117C22×D7911yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—1581no—
1305C2×C22⋊C4—1581no—
1306C2×C22⋊C4—1581no—
1307C2×C42—791no—
1308C2×C42—1581no—
1309#107—791no—
1310#107—791no—
1311#107—791no—
1312#107—791no—
1313#107C22×D7911yescharacteristic
1314#107C22×D7911yescharacteristic
1315#106—791no—
1316#106C22×D7911yescharacteristic
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8—791no—
1320C4⋊C8—791no—
1321C4⋊C8—791no—
1322C4⋊C8—791no—
1323C4⋊C8—791no—
1324C4⋊C8—791no—
1325C4⋊C8—791no—
1326C4⋊C8C22×D7911yescharacteristic
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103—791no—
1334#103—791no—
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103C22×D7911yescharacteristic
1339#103C22×D7911yescharacteristic
1340#103C22×D7911yescharacteristic
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102—791no—
1347#102—791no—
1348#102—791no—
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102C22×D7911yescharacteristic
1353#102C22×D7911yescharacteristic
1354#102C22×D7911yescharacteristic
1355#102C22×D7911yescharacteristic
1356#102C22×D7911yescharacteristic
1357#102C22×D7911yescharacteristic
1358#102C22×D7911yescharacteristic
1359C22⋊C8—791no—
1360C22⋊C8—791no—
1361C22⋊C8—791no—
1362C22⋊C8—791no—
1363C22⋊C8C22×D7911yescharacteristic
1364C22⋊C8C22×D7911yescharacteristic
1365#97—791no—
1366#97—791no—
1367#97—791no—
1368#97C22×D7911yescharacteristic
1369C4×C8—791no—
1370C4×C8—791no—
1371C24—21no—
1372C24—1581no—
1373C24—1581no—
1374#41—41no—
1375#41—41no—
1376#41—3161no—
1377#41—3161no—
1378#41—3161no—
1379#41—6322no—
1380#41—1582no—
1381C2×Q8—21no—
1382C2×Q8—3161no—
1383C2×Q8—3161no—
1384C2×Q8—3161no—
1385C2×Q8—3161no—
1386C2×Q8—791no—
1387C2×Q8—791no—
1388C2×Q8—791no—
1389C2×Q8—791no—
1390C2×Q8—791no—
1391C2×Q8—1582no—
1392C2×Q8—1582no—
1393C2×Q8—1581no—
1394C2×Q8—1581no—
1395C2×Q8—1581no—
1396C2×Q8—1581no—
1397C2×Q8—1581no—
1398C2×Q8—1581no—
1399C2×Q8C23×D7911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—3161no—
1408C2×D4—3161no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—791no—
1412C2×D4—791no—
1413C2×D4—791no—
1414C2×D4—791no—
1415C2×D4—6322no—
1416C2×D4—6322no—
1417C2×D4—1581no—
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—1581no—
1429C2×D4—1581no—
1430C2×D4D4×D7911yescharacteristic
1431C2×D4C23×D7911yescharacteristic
1432C2×D4C23×D7911yescharacteristic
1433C2×D4C23×D7911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—791no—
1438C22×C4—791no—
1439C22×C4—791no—
1440C22×C4—1581no—
1441C22×C4—1581no—
1442C22×C4—1581no—
1443C22×C4—1581no—
1444C22×C4—1581no—
1445C22×C4—1581no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4C23×D7911yescharacteristic
1450C22×C4C23×D7911yescharacteristic
1451Q16—3161no—
1452Q16—3161no—
1453Q16—3161no—
1454Q16—3161no—
1455Q16—1582no—
1456Q16—1582no—
1457SD16—41no—
1458SD16—3161no—
1459SD16—3161no—
1460SD16—3161no—
1461SD16—3161no—
1462SD16—3161no—
1463SD16—3161no—
1464SD16—3161no—
1465SD16—3161no—
1466SD16—3161no—
1467SD16—1582no—
1468SD16—1582no—
1469SD16—1582no—
1470SD16—1582no—
1471D8—41no—
1472D8—41no—
1473D8—3161no—
1474D8—3161no—
1475M16—41no—
1476M16—3161no—
1477M16—3161no—
1478M16—3161no—
1479C2×C8—41no—
1480C2×C8—3161no—
1481C2×C8—791no—
1482C2×C8—791no—
1483C2×C8—791no—
1484C2×C8—791no—
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C2×C8C23×D7911yescharacteristic
1488C2×C8C23×D7911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—791no—
1496C4⋊C4—791no—
1497C4⋊C4—791no—
1498C4⋊C4—791no—
1499C4⋊C4—791no—
1500C4⋊C4—791no—
1501C4⋊C4—791no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4D4×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C4⋊C4C23×D7911yescharacteristic
1526C4⋊C4C23×D7911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
1542C22⋊C4—791no—
1543C22⋊C4—791no—
1544C22⋊C4—791no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1573C22⋊C4D4×D7911yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—791no—
1577C42—791no—
1578C42—791no—
1579C42—791no—
1580C42—791no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42—1581no—
1585C42—1581no—
1586C42—1581no—
1587C42—1581no—
1588C42—1581no—
1589C42—1581no—
1590C42—1581no—
1591C42—1581no—
1592C42C23×D7911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—3162no—
1600C23—791no—
1601C23—6321no—
1602C23—6321no—
1603C23—6321no—
1604C23—6321no—
1605C23—6321no—
1606C23—1581no—
1607C23—1581no—
1608C23C2×D4×D7911yescharacteristic
1609C23C2×D4×D7911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—3162no—
1614Q8—3162no—
1615Q8—3161no—
1616Q8—792no—
1617Q8—6321no—
1618Q8—6321no—
1619Q8—6321no—
1620Q8—6321no—
1621Q8—1581no—
1622Q8—1581no—
1623Q8—1581no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8—1581no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—3162no—
1641D4—3162no—
1642D4—3161no—
1643D4—3161no—
1644D4—3162no—
1645D4—6321no—
1646D4—6321no—
1647D4—6321no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—1581no—
1656D4—1581no—
1657D4—1581no—
1658D4—1581no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—3161no—
1672C2×C4—3161no—
1673C2×C4—3162no—
1674C2×C4—3162no—
1675C2×C4—3162no—
1676C2×C4—791no—
1677C2×C4—791no—
1678C2×C4—791no—
1679C2×C4—791no—
1680C2×C4—791no—
1681C2×C4—791no—
1682C2×C4—791no—
1683C2×C4—6321no—
1684C2×C4—6321no—
1685C2×C4—6321no—
1686C2×C4—6321no—
1687C2×C4—6321no—
1688C2×C4—6321no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C2×D4×D7911yescharacteristic
1699C2×C4C2×D4×D7911yescharacteristic
1700C2×C4C2×D4×D7911yescharacteristic
1701C2×C4C24×D7911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1581no—
1707C8—1581no—
1708C8—1581no—
1709C8—1581no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—3161no—
1730C22—3161no—
1731C22—3161no—
1732C22—1581no—
1733C22—1581no—
1734C22—1581no—
1735C22—12642no—
1736C22—12642no—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—1582no—
1753C4—1581no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4H(5,𝔽2)×D7911yescharacteristic
1761C4#1909939911yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3161no—
1768C2—6321no—
1769C2—6321no—
1770C2#2377706311yescharacteristic
1771C2#2377817511yescharacteristic
1772C2#2377818411yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3319C2
socleC22×C79C23×D4
hypercenter#3319D79
hypocenterC79#62092
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #23777909C2semidirect
2. #23777416C2semidirect
3. #23776471C2semidirect
4. #23776463C2semidirect
5. #23776217C2semidirect
6. #23776211C2semidirect
7. #23775629C2semidirect
8. #23775627C2semidirect
9. #23775550C2semidirect
10. #23775464C2semidirect
11. #23775462C2semidirect
12. #23775054C2semidirect
13. #23775050C2semidirect
14. #23774915C2semidirect
15. #23774906C2semidirect
16. #23774899C2semidirect
17. #23774892C2semidirect
18. #23774857C2semidirect
19. #23774855C2semidirect
20. #23774789C2semidirect
21. #23774492C2semidirect
22. #23774490C2semidirect
23. #23774404C2semidirect
24. #23773632C2semidirect
25. #23773624C2semidirect
26. #23773547C2semidirect
27. #23772924C2semidirect
28. #23772920C2semidirect
29. #23772889C2semidirect
30. #23772566C2semidirect
31. C79×#3319C2semidirect
32. C2×#14579194C22semidirect
33. C2×#14579191C22semidirect
34. C2×#14579190C22semidirect
36. C22×#11929613C22semidirect
37. C22×#11929612C22semidirect
42. #19099293C22semidirect
43. #19099283C22semidirect
47. #19099281C22semidirect
48. #19099281C22semidirect
50. D4×Dic158C22semidirect
53. #19099219C22semidirect
54. #19099219C22semidirect
62. #19099180C22semidirect
63. #19099180C22semidirect
72. #19099118C22semidirect
78. #19099040C22semidirect
79. #19099040C22semidirect
80. C4×#11929623C22semidirect
81. #19098958C22semidirect
82. #19098957C22semidirect
85. #19098946C22semidirect
86. #19098944C22semidirect
87. #19098925C22semidirect
88. #19098924C22semidirect
89. #19098921C22semidirect
92. #19098904C22semidirect
93. #19098889C22semidirect
95. #19098885C22semidirect
96. #19098857C22semidirect
97. #19098857C22semidirect
98. #19098857C22semidirect
99. #19098856C22semidirect
100. #19098847C22semidirect
101. #19098842C22semidirect
102. #19098841C22semidirect
103. #19098841C22semidirect
104. #19098840C22semidirect
105. #19098810C22semidirect
106. #19098810C22semidirect
108. #19098808C22semidirect
109. #19098808C22semidirect
111. #19098807C22semidirect
112. #19098804C22semidirect
113. #19098802C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098788C22semidirect
118. #19098788C22semidirect
119. #19098788C22semidirect
120. #19098786C22semidirect
121. #19098784C22semidirect
122. #19098784C22semidirect
123. #19098784C22semidirect
124. #19098784C22semidirect
125. #19098784C22semidirect
126. #19098784C22semidirect
127. #19098783C22semidirect
128. #19098782C22semidirect
129. #19098780C22semidirect
130. #19098778C22semidirect
131. #19098777C22semidirect
132. #19098776C22semidirect
133. #19098776C22semidirect
134. #19098769C22semidirect
135. #19098768C22semidirect
140. #19098762C22semidirect
141. #19098762C22semidirect
142. #19098762C22semidirect
143. #19098756C22semidirect
144. #19098727C22semidirect
145. #19098725C22semidirect
146. #19098721C22semidirect
147. #19098720C22semidirect
148. #19098720C22semidirect
149. #19098718C22semidirect
150. #19098716C22semidirect
153. #19098714C22semidirect
154. #19098709C22semidirect
155. #19098706C22semidirect
156. #19098705C22semidirect
159. #19098696C22semidirect
160. #19098692C22semidirect
161. #19098691C22semidirect
162. #19098673C22semidirect
163. #19098669C22semidirect
164. #19098667C22semidirect
165. #19098665C22semidirect
166. #19098663C22semidirect
167. #19098662C22semidirect
168. #19098660C22semidirect
169. #19098657C22semidirect
170. #19098655C22semidirect
171. #19098654C22semidirect
172. #19098650C22semidirect
173. #19098639C22semidirect
174. #19098638C22semidirect
175. #19098635C22semidirect
176. #19098634C22semidirect
177. #19098631C22semidirect
178. #19098621C22semidirect
179. #19098621C22semidirect
180. #19098618C22semidirect
181. #19098591C22semidirect
182. #19098589C22semidirect
183. #19098585C22semidirect
184. #19098570C22semidirect
185. #19098567C22semidirect
187. #19098557C22semidirect
188. #555×C79C22semidirect
190. #489×C79C22semidirect
191. #485×C79C22semidirect
193. #474×C79C22semidirect
194. #468×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. #416×C79C22semidirect
896. #3319D79semidirect
918. C79#62092semidirect
937. #555C2×D79semidirect
979. #489C2×D79semidirect
983. #485C2×D79semidirect
997. #474C2×D79semidirect
1005. #468C2×D79semidirect
1029. #463C2×D79semidirect
1053. #449C2×D79semidirect
1057. #447C2×D79semidirect
1061. #442C2×D79semidirect
1077. #435C2×D79semidirect
1087. #418C2×D79semidirect
1089. #416C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779092
#237774162
#237764712
#237764632
#237762172
#237762112
#237756292
#237756272
#237755502
#237754642
#237754622
#237750542
#237750502
#237749152
#237749062
#237748992
#237748922
#237748572
#237748552
#237747892
#237744922
#237744902
#237744042
#237736322
#237736242
#237735472
#237729242
#237729202
#237728892
#237725662
C79×#33192
#6209279