Finite Group Databasebeta

← #35180503

Subgroups — #35180503

Order 20224.

1952 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777354C211yesmaximal, characteristic, complemented
2#23777007C211yesmaximal, characteristic, complemented
3#23776407C211yesmaximal, characteristic, complemented
4#23776397C211yesmaximal, characteristic, complemented
5#23776057C211yesmaximal, characteristic, complemented
6#23776052C211yesmaximal, characteristic, complemented
7#23775305C211yesmaximal, characteristic, complemented
8#23775272C211yesmaximal, characteristic, complemented
9#23775251C211yesmaximal, characteristic, complemented
10#23775244C211yesmaximal, characteristic, complemented
11#23775222C211yesmaximal, characteristic, complemented
12#23775114C211yesmaximal, characteristic, complemented
13#23775108C211yesmaximal, characteristic, complemented
14#23775089C211yesmaximal, characteristic, complemented
15#23775087C211yesmaximal, characteristic, complemented
16#23775083C211yesmaximal, characteristic, complemented
17#23775074C211yesmaximal, characteristic, complemented
18#23774754C211yesmaximal, characteristic, complemented
19#23774746C211yesmaximal, characteristic, complemented
20#23774721C211yesmaximal, characteristic, complemented
21#23774366C211yesmaximal, characteristic, complemented
22#23774364C211yesmaximal, characteristic, complemented
23#23774331C211yesmaximal, characteristic, complemented
24#23773451C211yesmaximal, characteristic, complemented
25#23773444C211yesmaximal, characteristic, complemented
26#23773421C211yesmaximal, characteristic, complemented
27#23772853C211yesmaximal, characteristic, complemented
28C2×#19098781C211yesmaximal, characteristic, complemented
29#463×D79C211yesmaximal, characteristic, complemented
30#23772507C211yesmaximal, characteristic, complemented
31C79×#3301C211yesmaximal, characteristic, complemented
32C2×#14579183C2211yescharacteristic, complemented
33C2×#14579181C2211yescharacteristic, complemented
34C22×#11929611C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic, complemented
36C22×D632C2211yescharacteristic
37C2×D8×D79C2211yescharacteristic
38#19099296C2211yescharacteristic, complemented
39#19099295C2211yescharacteristic, complemented
40#19099285C2211yescharacteristic, complemented
41#19099275—21no—
42#19099269C2211yescharacteristic, complemented
43#19099268C2211yescharacteristic
44#19099258—21no—
45#19099257C2211yescharacteristic, complemented
46#19099242—21no—
47#19099242—21no—
48#19099240—21no—
49#19099238—21no—
50Q8×C22⋊D79C2211yescharacteristic
51#19099223C2211yescharacteristic, complemented
52#19099210C2211yescharacteristic, complemented
53#19099209C2211yescharacteristic, complemented
54#19099209C2211yescharacteristic, complemented
55#19099202—21no—
56#19099202—21no—
57#19099201C2211yescharacteristic, complemented
58#19099197C2211yescharacteristic
59#19099197C2211yescharacteristic
60#19099183—21no—
61#19099150—21no—
62#19099147—21no—
63#19099109C2211yescharacteristic, complemented
64#19099108C2211yescharacteristic, complemented
65#19099100C2211yescharacteristic, complemented
66#19099099C2211yescharacteristic, complemented
67#19099098C2211yescharacteristic, complemented
68#19099096—21no—
69#19099094C2211yescharacteristic, complemented
70#19099094C2211yescharacteristic, complemented
71C2×#14579150C2211yescharacteristic, complemented
72#124×D79C2211yescharacteristic, complemented
73#19099073—21no—
74#19099071—21no—
75#19099035—21no—
76#19099031C2211yescharacteristic, complemented
77C4×#11929623C2211yescharacteristic
78C2×#14579123C2211yescharacteristic, complemented
79C4×D4×D79—21no—
80C4×D4×D79C2211yescharacteristic, complemented
81#19098947C2211yescharacteristic, complemented
82#19098945C2211yescharacteristic, complemented
83#19098944C2211yescharacteristic, complemented
84#19098944C2211yescharacteristic, complemented
85#19098938C2211yescharacteristic
86#19098934C2211yescharacteristic, complemented
87#19098920C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098919C2211yescharacteristic, complemented
90#19098912C2211yescharacteristic, complemented
91#19098908C2211yescharacteristic, complemented
92#19098898C2211yescharacteristic, complemented
93#19098897C2211yescharacteristic, complemented
94#19098887C2211yescharacteristic, complemented
95#19098883C2211yescharacteristic, complemented
96#19098869C2211yescharacteristic, complemented
97#19098869C2211yescharacteristic, complemented
98#19098862C2211yescharacteristic, complemented
99#19098862C2211yescharacteristic, complemented
100#19098861C2211yescharacteristic, complemented
101#19098861C2211yescharacteristic, complemented
102#19098860C2211yescharacteristic, complemented
103#19098856C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098804C2211yescharacteristic, complemented
106#19098803C2211yescharacteristic, complemented
107#19098800C2211yescharacteristic
108#19098799C2211yescharacteristic, complemented
109#19098797C2211yescharacteristic, complemented
110#19098795C2211yescharacteristic, complemented
111#19098794C2211yescharacteristic, complemented
112#19098793C2211yescharacteristic, complemented
113#19098790C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098785C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic
121#19098781C2211yescharacteristic
122#19098781C2211yescharacteristic, complemented
123#19098781C2211yescharacteristic, complemented
124#19098781C2211yescharacteristic, complemented
125#19098781C2211yescharacteristic, complemented
126#19098781C2211yescharacteristic, complemented
127#19098781C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098780C2211yescharacteristic, complemented
130#19098779C2211yescharacteristic
131#19098779C2211yescharacteristic, complemented
132#19098778C2211yescharacteristic, complemented
133#19098777C2211yescharacteristic, complemented
134#19098777C2211yescharacteristic, complemented
135#19098776C2211yescharacteristic, complemented
136#19098776C2211yescharacteristic, complemented
137#19098775C2211yescharacteristic, complemented
138#19098772C2211yescharacteristic, complemented
139#19098767C2211yescharacteristic, complemented
140#19098762C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098757C2211yescharacteristic
143#19098757C2211yescharacteristic
144#19098723C2211yescharacteristic, complemented
145#19098720C2211yescharacteristic, complemented
146#19098719C2211yescharacteristic, complemented
147#19098716C2211yescharacteristic, complemented
148#19098716C2211yescharacteristic, complemented
149#19098715C2211yescharacteristic, complemented
150#19098712C2211yescharacteristic, complemented
151#19098710C2211yescharacteristic
152#19098710C2211yescharacteristic, complemented
153#19098708C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098703C2211yescharacteristic, complemented
156#19098698C2211yescharacteristic
157#19098698C2211yescharacteristic
158#19098696C2211yescharacteristic
159#19098696C2211yescharacteristic
160C8×Dic158C2211yescharacteristic, complemented
161#19098687C2211yescharacteristic, complemented
162#19098655C2211yescharacteristic, complemented
163C4×#11929611C2211yescharacteristic, complemented
164#19098650C2211yescharacteristic, complemented
165#19098650C2211yescharacteristic, complemented
166#19098650C2211yescharacteristic, complemented
167#19098648C2211yescharacteristic, complemented
168C4×D632C2211yescharacteristic, complemented
169#19098645C2211yescharacteristic
170C4×#11929609C2211yescharacteristic, complemented
171#19098643C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173D4×C79⋊C8C2211yescharacteristic, complemented
174C8×C22⋊D79C2211yescharacteristic
175C8×C22⋊D79C2211yescharacteristic, complemented
176(C22⋊D79)⋊C8C2211yescharacteristic
177(C22⋊D79)⋊C8C2211yescharacteristic, complemented
178#19098614C2211yescharacteristic, complemented
179#19098613C2211yescharacteristic, complemented
180#19098613C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic, complemented
182C2×Dic79⋊C8C2211yescharacteristic, complemented
183C4⋊C8×D79C2211yescharacteristic, complemented
184#19098557C2211yescharacteristic, complemented
185#103×D79C2211yescharacteristic, complemented
186C2×#14579081C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189#548×C79C2211yescharacteristic, complemented
190#488×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#479×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic
195#465×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#448×C79C2211yescharacteristic, complemented
199C4×SD16×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#103×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623D411yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C2×D4×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213C2×D4×D79C2311yescharacteristic
214C22×C4×D79—21no—
215C22×C4×D79—21no—
216#14579183—42no—
217#14579181—42no—
218C2×Dic316C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929611—42no—
228C2×#11929611C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929611C2311yescharacteristic
231C2×#11929611C2311yescharacteristic
232SD16×D79—42no—
233C2×D632—42no—
234C2×D632C2311yescharacteristic
235C2×D632C2311yescharacteristic
236C2×D632C2311yescharacteristic
237C2×D632C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242D8×D79—42no—
243C22×C79⋊C8C2311yescharacteristic
244C22×C79⋊C8C2311yescharacteristic
245C2×C8×D79C2311yescharacteristic
246C2×C8×D79C2311yescharacteristic
247#14579160C2311yescharacteristic
248#14579159—21no—
249#14579159C2311yescharacteristic
250#14579157C2311yescharacteristic
251#14579157C2311yescharacteristic
252#14579156—21no—
253#14579156—21no—
254#14579156—21no—
255#14579156—21no—
256#14579155—21no—
257#14579155—21no—
258#14579154—21no—
259#14579154—21no—
260#14579152C2311yescharacteristic
261#14579152C2311yescharacteristic
262#14579151—21no—
263#14579150—21no—
264#14579150—21no—
265#14579150C2311yescharacteristic
266#14579150C2311yescharacteristic
267#14579150C2311yescharacteristic
268#14579150C2311yescharacteristic
269#14579149C2311yescharacteristic
270#14579149C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579146—21no—
280#14579146—21no—
281#14579146—21no—
282#14579146—21no—
283#14579145—21no—
284#14579145—21no—
285#14579144—21no—
286#14579144—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579143—21no—
291#14579142—21no—
292#14579142—21no—
293#14579141—21no—
294#14579141C2311yescharacteristic
295#14579140—21no—
296#14579140—21no—
297#14579140C2311yescharacteristic
298#14579140C2311yescharacteristic
299#14579139—21no—
300#14579139—21no—
301#14579139—21no—
302#14579139—21no—
303#14579139—21no—
304#14579137—21no—
305#14579137C2311yescharacteristic
306#14579136C2311yescharacteristic
307#14579136C2311yescharacteristic
308#14579135C2311yescharacteristic
309#14579135C2311yescharacteristic
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579134—21no—
314#14579134—21no—
315#14579134—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579132—21no—
321#14579131—21no—
322#14579131—21no—
323#14579129—21no—
324#14579129—21no—
325#14579129—21no—
326#14579129—21no—
327#14579129—21no—
328#14579129—21no—
329Q8×Dic79C2311yescharacteristic
330C4×Dic158C2311yescharacteristic
331#14579126D411yescharacteristic
332#14579126C2311yescharacteristic
333#14579126C2311yescharacteristic
334#14579126C2311yescharacteristic
335C4×D316—21no—
336C4×D316—21no—
337C4×D316C2311yescharacteristic
338C4×D316C2311yescharacteristic
339D4×Dic79—21no—
340D4×Dic79—21no—
341D4×Dic79D411yescharacteristic
342D4×Dic79C2311yescharacteristic
343D4×Dic79C2311yescharacteristic
344#14579123—21no—
345#14579123—21no—
346#14579123—21no—
347#14579123—21no—
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350#14579123C2311yescharacteristic
351#14579123C2311yescharacteristic
352#14579123C2311yescharacteristic
353#14579123C2311yescharacteristic
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—21no—
358C4×C22⋊D79—21no—
359C4×C22⋊D79—21no—
360C4×C22⋊D79C2311yescharacteristic
361C4×C22⋊D79C2311yescharacteristic
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(C22⋊D79)⋊C4D411yescharacteristic
369(C22⋊D79)⋊C4D411yescharacteristic
370#14579119—21no—
371#14579119—21no—
372#14579119D411yescharacteristic
373#14579118—21no—
374#14579118—21no—
375#14579118—21no—
376#14579117—21no—
377#14579117—21no—
378#14579117D411yescharacteristic
379#14579117D411yescharacteristic
380C4⋊C4×D79—21no—
381C4⋊C4×D79C2311yescharacteristic
382C2×(C2×D79)⋊C4—21no—
383C2×(C2×D79)⋊C4—21no—
384C2×(C2×D79)⋊C4—21no—
385C2×(C2×D79)⋊C4—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79—21no—
389C22⋊C4×D79—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C2×C4×Dic79C2311yescharacteristic
393C2×C4×Dic79C2311yescharacteristic
394C42×D79—21no—
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579092C2311yescharacteristic
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#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
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
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×Q8×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448#126×C79—21no—
449#125×C79C2311yescharacteristic
450#124×C79—21no—
451#124×C79C2311yescharacteristic
452#123×C79—21no—
453C22⋊Q8×C79—21no—
454C22⋊Q8×C79C2311yescharacteristic
455#121×C79—21no—
456#121×C79—21no—
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460C4×Q8×C79C2311yescharacteristic
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465#117×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929624—22no—
489#11929624—41no—
490#11929624—41no—
491#11929624—41no—
492#11929623—24no—
493#11929623—82no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—41no—
500Q8×D79—41no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—22no—
504C2×D316—21no—
505C2×D316—21no—
506C2×D316—41no—
507C2×D316—41no—
508C2×D316—41no—
509C2×D316C2411yescharacteristic
510C2×D316C2411yescharacteristic
511C2×D316C2411yescharacteristic
512C2×D316C2411yescharacteristic
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79C2×D411yescharacteristic
524C2×C22⋊D79C2×D411yescharacteristic
525D4×D79—22no—
526D4×D79—41no—
527D4×D79—44no—
528D4×D79—44no—
529D4×D79—41no—
530D4×D79—41no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79C2×D411yescharacteristic
534C22×Dic79C2×D411yescharacteristic
535C22×Dic79C2×D411yescharacteristic
536C22×Dic79C2×D411yescharacteristic
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—82no—
550C2×C4×D79—82no—
551C2×C4×D79C2×D411yescharacteristic
552C2×C4×D79C2×D411yescharacteristic
553C2×C4×D79C2411yescharacteristic
554Dic316—41no—
555#11929614—41no—
556#11929614—41no—
557#11929613—22no—
558#11929613—41no—
559#11929613—41no—
560#11929613—41no—
561#11929612—41no—
562#11929612—41no—
563#11929611—22no—
564#11929611—22no—
565#11929611—41no—
566#11929611—41no—
567D632—22no—
568D632—22no—
569D632—41no—
570D632—41no—
571#11929609—22no—
572#11929609—41no—
573#11929609—41no—
574#11929609—41no—
575C2×C79⋊C8—41no—
576C2×C79⋊C8—41no—
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C8×D79—41no—
582C8×D79—41no—
583C4⋊Dic79—21no—
584C4⋊Dic79—21no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79C2×D411yescharacteristic
588C4⋊Dic79C2411yescharacteristic
589C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79C2×D411yescharacteristic
615C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4—21no—
639(C2×D79)⋊C4—21no—
640(C2×D79)⋊C4—21no—
641(C2×D79)⋊C4—21no—
642(C2×D79)⋊C4C2×D411yescharacteristic
643(C2×D79)⋊C4C2×D411yescharacteristic
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79C2×D411yescharacteristic
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2×D411yescharacteristic
651C4×Dic79C2×D411yescharacteristic
652C4×Dic79C2×D411yescharacteristic
653C4×Dic79C2×D411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657#41×C79—41no—
658#41×C79—41no—
659C2×Q8×C79—21no—
660C2×Q8×C79—41no—
661C2×Q8×C79—41no—
662C2×Q8×C79C2411yescharacteristic
663C2×Q8×C79C2411yescharacteristic
664C2×D4×C79—21no—
665C2×D4×C79—21no—
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79C2×D411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677SD16×C79—41no—
678SD16×C79—41no—
679D8×C79—41no—
680C2×C8×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79C2×D411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79C2×D411yescharacteristic
705C22⋊C4×C79C2×D411yescharacteristic
706C42×C79—21no—
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79C22×D411yescharacteristic
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—42no—
718C22×D79—42no—
719C22×D79—42no—
720C22×D79—42no—
721C22×D79—42no—
722C22×D79—42no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79—81no—
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732Q8×C79—21no—
733Q8×C79—21no—
734Q8×C79—81no—
735D4×C79—22no—
736D4×C79—21no—
737D4×C79—21no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—42no—
741D4×C79—42no—
742D4×C79—81no—
743D4×C79—81no—
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—21no—
753C2×C4×C79—21no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C2511yescharacteristic
763C22⋊D79—22no—
764C22⋊D79—42no—
765C22⋊D79—42no—
766C22⋊D79—42no—
767C22⋊D79—42no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79#13514yescomplemented
775C2×Dic79—22no—
776C2×Dic79—22no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—41no—
782C2×Dic79—41no—
783C2×Dic79—42no—
784C2×Dic79—81no—
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790C2×Dic79C22×D411yescharacteristic
791C2×Dic79C22×D411yescharacteristic
792D316—21no—
793D316—21no—
794D316—21no—
795D316—21no—
796D316—21no—
797D316—21no—
798D316—21no—
799D316—42no—
800D316—42no—
801D316—42no—
802D316—81no—
803D316H(5,𝔽2)12yes—
804C4×D79—22no—
805C4×D79—21no—
806C4×D79—21no—
807C4×D79—41no—
808C4×D79—42no—
809C4×D79—42no—
810C4×D79—42no—
811C4×D79—42no—
812C4×D79—42no—
813C4×D79—81no—
814C4×D79—81no—
815C4×D79—81no—
816C4×D79—81no—
817C4×D79—81no—
818C4×D79—81no—
819C4×D79—81no—
820Dic158—22no—
821Dic158—21no—
822Dic158—21no—
823Dic158—21no—
824Dic158—21no—
825Dic158—81no—
826Dic158—81no—
827C8×C79—21no—
828C8×C79—21no—
829C8×C79—21no—
830C8×C79—21no—
831C79⋊C8—21no—
832C79⋊C8—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—21no—
838C22×C79—21no—
839C22×C79—21no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79C2×#13512yes—
847C22×C79C23×D411yescharacteristic
848C2×D79—21no—
849C2×D79—21no—
850C2×D79—22no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—84no—
863C2×D79—84no—
864C2×D79—162no—
865C2×D79—162no—
866C2×D79C2×#13512yes—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—41no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79C2×H(5,𝔽2)11yescharacteristic
878C4×C79#58511yescharacteristic
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—21no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79C2×#13512yes—
890#61955—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—41no—
893C2×C79—81no—
894C2×C79—81no—
895C2×C79#348811yescharacteristic
896C2×C79C22×#13511yescharacteristic
897C2×C79#358511yescharacteristic
898D79—22no—
899D79—42no—
900D79—81no—
901D79—81no—
902D79—81no—
903#3514—791no—
904#3481—791no—
905#3396—791no—
906#3394—791no—
907#3361—791no—
908#3360—791no—
909#3301—791no—
910#3301D7911yescharacteristic, complemented
911#3299—791no—
912#3297—791no—
913#3297—791no—
914#3295—791no—
915#3282—791no—
916#3282—791no—
917D4×SD16—791no—
918#3280—791no—
919#3280—791no—
920D4×D8—791no—
921#3250—791no—
922#3250—791no—
923#3247—791no—
924#3211—791no—
925#3211—791no—
926#3207—791no—
927#3105—791no—
928#3105—791no—
929#3102—791no—
930#3035—791no—
931C2×#463—791no—
932C2×#463—791no—
933#2988—791no—
934C79#6195511yescharacteristic, complemented, Sylow
935C2×#135—791no—
936C2×#135—791no—
937C22×SD16—791no—
938C22×SD16—791no—
939C22×D8—791no—
940C22×D8—791no—
941#559—791no—
942#559—791no—
943#556—791no—
944#555—1581no—
945#554—791no—
946#554—791no—
947#553—791no—
948#553—1581no—
949#553C2×D7911yescharacteristic, complemented
950#551—1581no—
951#551—1581no—
952#551—1581no—
953#551—1581no—
954D4×Q8—791no—
955#548—791no—
956#548C2×D7911yescharacteristic, complemented
957#546—791no—
958#546—791no—
959#546—791no—
960#546—791no—
961#546—1581no—
962#546—1581no—
963D42—791no—
964D42—791no—
965#542—1581no—
966#538—1581no—
967#538—1581no—
968#532—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#529—791no—
974#529—791no—
975#529—1581no—
976C2×#124—791no—
977C2×#124—791no—
978#525—1581no—
979#525—1581no—
980#518—1581no—
981C4×#41—791no—
982C4×#41—791no—
983C2×C4×D4—791no—
984C2×C4×D4—791no—
985C2×C4×D4—1581no—
986#495—791no—
987#495—791no—
988#495—791no—
989#495—791no—
990#493—791no—
991#492—791no—
992#488—791no—
993#488—791no—
994#488—791no—
995#488C2×D7911yescharacteristic, complemented
996#487—791no—
997#486—791no—
998#485C2×D7911yescharacteristic, complemented
999#484—791no—
1000#484—791no—
1001#482—791no—
1002#481—791no—
1003#481C2×D7911yescharacteristic, complemented
1004#479—791no—
1005#479—791no—
1006#479C2×D7911yescharacteristic, complemented
1007#478—791no—
1008#478—791no—
1009#478—791no—
1010#478—791no—
1011#478—791no—
1012#477—791no—
1013#476—791no—
1014#467—791no—
1015#467—791no—
1016#466—791no—
1017#466—791no—
1018#466—791no—
1019#466C2×D7911yescharacteristic
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465—791no—
1025#465C2×D7911yescharacteristic, complemented
1026#464—791no—
1027#464—791no—
1028#464—791no—
1029#464—791no—
1030#464—791no—
1031#463—791no—
1032#463—791no—
1033#463—791no—
1034#463—791no—
1035#463—791no—
1036#463—791no—
1037#463—791no—
1038#463—791no—
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463—791no—
1043#463—791no—
1044#463—791no—
1045#463—791no—
1046#463—791no—
1047#463—791no—
1048#463—791no—
1049#463C2×D7911yescharacteristic, complemented
1050#462—791no—
1051#461—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#452—791no—
1057#451—791no—
1058#451—791no—
1059#450—791no—
1060#450—791no—
1061#450—791no—
1062#450—791no—
1063#449—791no—
1064#449—791no—
1065#449—791no—
1066#449—791no—
1067#449C2×D7911yescharacteristic, complemented
1068#448—791no—
1069#448C2×D7911yescharacteristic, complemented
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447—791no—
1074C8×Q8—791no—
1075C8×Q8—791no—
1076C4×Q16—791no—
1077C4×SD16—791no—
1078C4×SD16—791no—
1079C4×SD16—791no—
1080C4×SD16—791no—
1081C4×SD16—791no—
1082C4×SD16C2×D7911yescharacteristic, complemented
1083C4×D8—791no—
1084C4×D8—791no—
1085C4×D8—791no—
1086C4×D8—791no—
1087C4×D8—791no—
1088C8×D4—791no—
1089C8×D4—791no—
1090C8×D4—791no—
1091C8×D4—791no—
1092C8×D4—791no—
1093C8×D4C2×D7911yescharacteristic, complemented
1094#431—791no—
1095#431—791no—
1096#431—791no—
1097C2×C4⋊C8—791no—
1098C2×C4⋊C8—791no—
1099C2×C4⋊C8—791no—
1100#416—791no—
1101#416C2×D7911yescharacteristic, complemented
1102C2×#103—791no—
1103C2×#103C2×D7911yescharacteristic, complemented
1104C2×#102—791no—
1105C2×#102—791no—
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—791no—
1109C2×#41—1581no—
1110C2×#41C22×D7911yescharacteristic
1111C22×Q8—791no—
1112C22×Q8C22×D7911yescharacteristic
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C22×D4—1581no—
1118C22×D4—1581no—
1119C23×C4—1581no—
1120C23×C4—1581no—
1121#135—3162no—
1122#135—3162no—
1123C2×Q16—791no—
1124C2×Q16—791no—
1125C2×Q16—791no—
1126C2×SD16—3162no—
1127C2×SD16—3162no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16—791no—
1131C2×SD16—791no—
1132C2×SD16—791no—
1133C2×SD16—791no—
1134C2×SD16—791no—
1135C2×SD16—791no—
1136C2×SD16—791no—
1137C2×SD16—791no—
1138C2×SD16C22×D7911yescharacteristic
1139C2×SD16C22×D7911yescharacteristic
1140C2×D8—3162no—
1141C2×D8—3162no—
1142C2×D8—791no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8—791no—
1150C2×D8C22×D7911yescharacteristic
1151C22×C8—791no—
1152C22×C8—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8C22×D7911yescharacteristic
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—1581no—
1160#127—791no—
1161#127—791no—
1162#126—21no—
1163#126—1581no—
1164#126—1581no—
1165#126—1581no—
1166#126—1581no—
1167#126—1581no—
1168#126—1581no—
1169#126—1581no—
1170#126—1581no—
1171#125—791no—
1172#125—791no—
1173#125—1581no—
1174#125C22×D7911yescharacteristic
1175#124—21no—
1176#124—791no—
1177#124—791no—
1178#124—791no—
1179#124—791no—
1180#124—791no—
1181#124—791no—
1182#124—791no—
1183#124—791no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124—1581no—
1190#124—1581no—
1191#124—1581no—
1192#124C22×D7911yescharacteristic
1193#123—21no—
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—
1208C22⋊Q8—21no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—791no—
1213C22⋊Q8—1581no—
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⋊Q8C22×D7911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
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#121—1581no—
1240#121C22×D7911yescharacteristic
1241#121C22×D7911yescharacteristic
1242#121C22×D7911yescharacteristic
1243#120—1581no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8C22×D7911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—791no—
1261C4×D4—791no—
1262C4×D4—791no—
1263C4×D4—791no—
1264C4×D4—791no—
1265C4×D4—791no—
1266C4×D4—791no—
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—1581no—
1276C4×D4—1581no—
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×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4—1581no—
1295C4×D4C22×D7911yescharacteristic
1296C4×D4C22×D7911yescharacteristic
1297#117—791no—
1298#117—791no—
1299#117—791no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304#117—1581no—
1305#117—1581no—
1306#117—1581no—
1307#117C22×D7911yescharacteristic
1308C2×C4⋊C4—791no—
1309C2×C4⋊C4—1581no—
1310C2×C4⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4—1581no—
1312C2×C22⋊C4—1581no—
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C22⋊C4—1581no—
1317C2×C22⋊C4—1581no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C42—791no—
1322C2×C42—791no—
1323C2×C42—791no—
1324C2×C42—1581no—
1325#107—791no—
1326#107—791no—
1327#107—791no—
1328#107C22×D7911yescharacteristic
1329#106—791no—
1330#106—791no—
1331#106C22×D7911yescharacteristic
1332#106C22×D7911yescharacteristic
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335C4⋊C8—791no—
1336C4⋊C8—791no—
1337C4⋊C8—791no—
1338C4⋊C8—791no—
1339C4⋊C8—791no—
1340C4⋊C8—791no—
1341C4⋊C8—791no—
1342C4⋊C8C22×D7911yescharacteristic
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#103—791no—
1350#103—791no—
1351#103C22×D7911yescharacteristic
1352#103C22×D7911yescharacteristic
1353#103C22×D7911yescharacteristic
1354#103C22×D7911yescharacteristic
1355#103C22×D7911yescharacteristic
1356#103C22×D7911yescharacteristic
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102—791no—
1369#102—791no—
1370#102—791no—
1371#102C22×D7911yescharacteristic
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375C22⋊C8—791no—
1376C22⋊C8—791no—
1377C22⋊C8—791no—
1378C22⋊C8—791no—
1379C22⋊C8C22×D7911yescharacteristic
1380C22⋊C8C22×D7911yescharacteristic
1381C4×C8—791no—
1382C4×C8—791no—
1383C4×C8—791no—
1384C4×C8—791no—
1385C4×C8—791no—
1386C4×C8C22×D7911yescharacteristic
1387C24—1581no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—41no—
1392#41—41no—
1393#41—3161no—
1394#41—3161no—
1395#41—3161no—
1396#41—6322no—
1397#41—1582no—
1398#41—1584no—
1399C2×Q8—21no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—3161no—
1403C2×Q8—3161no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—791no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8C23×D7911yescharacteristic
1410C2×Q8C23×D7911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3164no—
1419C2×D4—3164no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—791no—
1424C2×D4—791no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—791no—
1428C2×D4—791no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1582no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1582no—
1439C2×D4—1581no—
1440C2×D4—1581no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4D4×D7911yescharacteristic
1446C2×D4C23×D7911yescharacteristic
1447C2×D4C23×D7911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—791no—
1453C22×C4—791no—
1454C22×C4—791no—
1455C22×C4—791no—
1456C22×C4—791no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—6322no—
1460C22×C4—6322no—
1461C22×C4—1581no—
1462C22×C4—1581no—
1463C22×C4—1581no—
1464C22×C4—1581no—
1465C22×C4—1581no—
1466C22×C4—1581no—
1467C22×C4—1581no—
1468C22×C4—1581no—
1469C22×C4—1581no—
1470C22×C4—1581no—
1471C22×C4—1581no—
1472C22×C4—1581no—
1473C22×C4—1581no—
1474C22×C4—1581no—
1475C22×C4C23×D7911yescharacteristic
1476C22×C4C23×D7911yescharacteristic
1477Q16—3161no—
1478Q16—3161no—
1479Q16—3161no—
1480SD16—41no—
1481SD16—41no—
1482SD16—3161no—
1483SD16—3161no—
1484SD16—3161no—
1485SD16—3161no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—1582no—
1490SD16—1582no—
1491SD16—1582no—
1492D8—41no—
1493D8—3161no—
1494D8—3161no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—1582no—
1499D8—1582no—
1500D8—1582no—
1501C2×C8—41no—
1502C2×C8—41no—
1503C2×C8—3161no—
1504C2×C8—3161no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
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⋊C4—1581no—
1539C4⋊C4—1581no—
1540C4⋊C4—1581no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4D4×D7911yescharacteristic
1544C4⋊C4C23×D7911yescharacteristic
1545C4⋊C4C23×D7911yescharacteristic
1546C4⋊C4C23×D7911yescharacteristic
1547C4⋊C4C23×D7911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—791no—
1557C22⋊C4—791no—
1558C22⋊C4—791no—
1559C22⋊C4—791no—
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⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4D4×D7911yescharacteristic
1595C22⋊C4D4×D7911yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—791no—
1599C42—791no—
1600C42—791no—
1601C42—791no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—791no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42—1581no—
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—3162no—
1615C23—3162no—
1616C23—3162no—
1617C23—3162no—
1618C23—3162no—
1619C23—3162no—
1620C23—791no—
1621C23—6321no—
1622C23—6321no—
1623C23—6321no—
1624C23—6321no—
1625C23—6321no—
1626C23—6321no—
1627C23—1581no—
1628C23—1581no—
1629C23—1581no—
1630C23—1581no—
1631C23C2×D4×D7911yescharacteristic
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—6321no—
1639Q8—6321no—
1640Q8—1582no—
1641Q8—1581no—
1642Q8—1581no—
1643Q8—1581no—
1644Q8—1581no—
1645D4—22no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—42no—
1652D4—81no—
1653D4—81no—
1654D4—3162no—
1655D4—3162no—
1656D4—3162no—
1657D4—3162no—
1658D4—3162no—
1659D4—3162no—
1660D4—3162no—
1661D4—794no—
1662D4—792no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—1582no—
1671D4—1581no—
1672D4—1581no—
1673D4—1581no—
1674D4—1581no—
1675D4—1581no—
1676D4—1581no—
1677D4—1581no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—3162no—
1693C2×C4—3161no—
1694C2×C4—3162no—
1695C2×C4—3162no—
1696C2×C4—3162no—
1697C2×C4—3162no—
1698C2×C4—3162no—
1699C2×C4—3161no—
1700C2×C4—3161no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—791no—
1706C2×C4—791no—
1707C2×C4—791no—
1708C2×C4—6321no—
1709C2×C4—6321no—
1710C2×C4—6321no—
1711C2×C4—6321no—
1712C2×C4—6321no—
1713C2×C4—6321no—
1714C2×C4—6321no—
1715C2×C4—6321no—
1716C2×C4—1582no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1582no—
1722C2×C4—1582no—
1723C2×C4—1581no—
1724C2×C4—1581no—
1725C2×C4C2×D4×D7911yescharacteristic
1726C2×C4C2×D4×D7911yescharacteristic
1727C2×C4C2×D4×D7911yescharacteristic
1728C2×C4C2×D4×D7911yescharacteristic
1729C2×C4C24×D7911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1581no—
1735C8—1581no—
1736C8—1581no—
1737C8—1581no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—3161no—
1750C22—3161no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—792no—
1761C22—6324no—
1762C22—6324no—
1763C22—1582no—
1764C22—1581no—
1765C22—1581no—
1766C22—12642no—
1767C22—12642no—
1768C22#135×D7912yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—792no—
1785C4—1581no—
1786C4—1581no—
1787C4—1581no—
1788C4—1581no—
1789C4—1581no—
1790C4—1581no—
1791C4H(5,𝔽2)×D7911yescharacteristic
1792C4#1909939911yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—81no—
1796C2—81no—
1797C2—3162no—
1798C2—6321no—
1799C2—6321no—
1800C2—6321no—
1801C2—1582no—
1802C2#2377706311yescharacteristic
1803C2C2×#135×D7911yescharacteristic
1804C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3301C2
socleC22×C79C23×D4
hypercenter#3301D79
hypocenterC79#61955
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #23777354C2semidirect
2. #23777007C2semidirect
3. #23776407C2semidirect
4. #23776397C2semidirect
5. #23776057C2semidirect
6. #23776052C2semidirect
7. #23775305C2semidirect
8. #23775272C2semidirect
9. #23775251C2semidirect
10. #23775244C2semidirect
11. #23775222C2semidirect
12. #23775114C2semidirect
13. #23775108C2semidirect
14. #23775089C2semidirect
15. #23775087C2semidirect
16. #23775083C2semidirect
17. #23775074C2semidirect
18. #23774754C2semidirect
19. #23774746C2semidirect
20. #23774721C2semidirect
21. #23774366C2semidirect
22. #23774364C2semidirect
23. #23774331C2semidirect
24. #23773451C2semidirect
25. #23773444C2semidirect
26. #23773421C2semidirect
27. #23772853C2semidirect
28. C2×#19098781C2semidirect
29. #463×D79C2semidirect
30. #23772507C2semidirect
31. C79×#3301C2semidirect
32. C2×#14579183C22semidirect
33. C2×#14579181C22semidirect
34. C22×#11929611C22semidirect
35. C2×SD16×D79C22semidirect
38. #19099296C22semidirect
39. #19099295C22semidirect
40. #19099285C22semidirect
42. #19099269C22semidirect
45. #19099257C22semidirect
51. #19099223C22semidirect
52. #19099210C22semidirect
53. #19099209C22semidirect
54. #19099209C22semidirect
57. #19099201C22semidirect
63. #19099109C22semidirect
64. #19099108C22semidirect
65. #19099100C22semidirect
66. #19099099C22semidirect
67. #19099098C22semidirect
69. #19099094C22semidirect
70. #19099094C22semidirect
71. C2×#14579150C22semidirect
72. #124×D79C22semidirect
76. #19099031C22semidirect
78. C2×#14579123C22semidirect
80. C4×D4×D79C22semidirect
81. #19098947C22semidirect
82. #19098945C22semidirect
83. #19098944C22semidirect
84. #19098944C22semidirect
86. #19098934C22semidirect
87. #19098920C22semidirect
88. #19098919C22semidirect
89. #19098919C22semidirect
90. #19098912C22semidirect
91. #19098908C22semidirect
92. #19098898C22semidirect
93. #19098897C22semidirect
94. #19098887C22semidirect
95. #19098883C22semidirect
96. #19098869C22semidirect
97. #19098869C22semidirect
98. #19098862C22semidirect
99. #19098862C22semidirect
100. #19098861C22semidirect
101. #19098861C22semidirect
102. #19098860C22semidirect
103. #19098856C22semidirect
104. #19098852C22semidirect
105. #19098804C22semidirect
106. #19098803C22semidirect
108. #19098799C22semidirect
109. #19098797C22semidirect
110. #19098795C22semidirect
111. #19098794C22semidirect
112. #19098793C22semidirect
113. #19098790C22semidirect
114. #19098790C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098785C22semidirect
118. #19098784C22semidirect
119. #19098784C22semidirect
122. #19098781C22semidirect
123. #19098781C22semidirect
124. #19098781C22semidirect
125. #19098781C22semidirect
126. #19098781C22semidirect
127. #19098781C22semidirect
128. #19098780C22semidirect
129. #19098780C22semidirect
131. #19098779C22semidirect
132. #19098778C22semidirect
133. #19098777C22semidirect
134. #19098777C22semidirect
135. #19098776C22semidirect
136. #19098776C22semidirect
137. #19098775C22semidirect
138. #19098772C22semidirect
139. #19098767C22semidirect
140. #19098762C22semidirect
141. #19098761C22semidirect
144. #19098723C22semidirect
145. #19098720C22semidirect
146. #19098719C22semidirect
147. #19098716C22semidirect
148. #19098716C22semidirect
149. #19098715C22semidirect
150. #19098712C22semidirect
152. #19098710C22semidirect
153. #19098708C22semidirect
154. #19098706C22semidirect
155. #19098703C22semidirect
160. C8×Dic158C22semidirect
161. #19098687C22semidirect
162. #19098655C22semidirect
163. C4×#11929611C22semidirect
164. #19098650C22semidirect
165. #19098650C22semidirect
166. #19098650C22semidirect
167. #19098648C22semidirect
168. C4×D632C22semidirect
170. C4×#11929609C22semidirect
171. #19098643C22semidirect
172. #19098643C22semidirect
173. D4×C79⋊C8C22semidirect
175. C8×C22⋊D79C22semidirect
177. (C22⋊D79)⋊C8C22semidirect
178. #19098614C22semidirect
179. #19098613C22semidirect
180. #19098613C22semidirect
181. C2×Dic79⋊C8C22semidirect
182. C2×Dic79⋊C8C22semidirect
183. C4⋊C8×D79C22semidirect
184. #19098557C22semidirect
185. #103×D79C22semidirect
186. C2×#14579081C22semidirect
187. #102×D79C22semidirect
188. #553×C79C22semidirect
189. #548×C79C22semidirect
190. #488×C79C22semidirect
191. #485×C79C22semidirect
192. #481×C79C22semidirect
193. #479×C79C22semidirect
195. #465×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #448×C79C22semidirect
199. C4×SD16×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#103×C79C22semidirect
774. C22⋊D79#135semidirect
910. #3301D79semidirect
934. C79#61955semidirect
949. #553C2×D79semidirect
956. #548C2×D79semidirect
995. #488C2×D79semidirect
998. #485C2×D79semidirect
1003. #481C2×D79semidirect
1006. #479C2×D79semidirect
1025. #465C2×D79semidirect
1049. #463C2×D79semidirect
1067. #449C2×D79semidirect
1069. #448C2×D79semidirect
1082. C4×SD16C2×D79semidirect
1093. C8×D4C2×D79semidirect
1101. #416C2×D79semidirect
1103. C2×#103C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773542
#237770072
#237764072
#237763972
#237760572
#237760522
#237753052
#237752722
#237752512
#237752442
#237752222
#237751142
#237751082
#237750892
#237750872
#237750832
#237750742
#237747542
#237747462
#237747212
#237743662
#237743642
#237743312
#237734512
#237734442
#237734212
#237728532
C2×#190987812
#463×D792
#237725072
C79×#33012
#6195579