Finite Group Databasebeta

← #35181865

Subgroups — #35181865

Order 20224.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777917C211yesmaximal, characteristic
2#23777489C211yesmaximal, characteristic, complemented
3#23776456C211yesmaximal, characteristic, complemented
4#23776451C211yesmaximal, characteristic, complemented
5#23776174C211yesmaximal, characteristic, complemented
6#23776171C211yesmaximal, characteristic, complemented
7#23775439C211yesmaximal, characteristic, complemented
8#23775432C211yesmaximal, characteristic, complemented
9#23775419C211yesmaximal, characteristic, complemented
10#23775415C211yesmaximal, characteristic, complemented
11#23775283C211yesmaximal, characteristic, complemented
12D4×#11929613C211yesmaximal, characteristic, complemented
13#23775093C211yesmaximal, characteristic, complemented
14#23774974C211yesmaximal, characteristic, complemented
15#23774966C211yesmaximal, characteristic, complemented
16#23774908C211yesmaximal, characteristic, complemented
17#23774907C211yesmaximal, characteristic, complemented
18#23774832C211yesmaximal, characteristic, complemented
19#23774829C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774475C211yesmaximal, characteristic, complemented
22#23774470C211yesmaximal, characteristic, complemented
23#23774402C211yesmaximal, characteristic, complemented
24#23773635C211yesmaximal, characteristic, complemented
25#23773632C211yesmaximal, characteristic, complemented
26#23773519C211yesmaximal, characteristic, complemented
27#23772924C211yesmaximal, characteristic, complemented
28#23772919C211yesmaximal, characteristic, complemented
29C2×#19098788C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31C79×#3300C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C22×#11929614C2211yescharacteristic, complemented
35C22×#11929613C2211yescharacteristic
36C22×#11929613C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic, complemented
38#19099309—21no—
39#19099305—21no—
40#19099298C2211yescharacteristic
41#19099295C2211yescharacteristic
42#19099291C2211yescharacteristic, complemented
43#19099290—21no—
44#19099290C2211yescharacteristic, complemented
45#19099281C2211yescharacteristic, complemented
46#19099280—21no—
47#19099250—21no—
48#19099248C2211yescharacteristic, complemented
49#19099246—21no—
50D4×Dic158C2211yescharacteristic, complemented
51#19099226C2211yescharacteristic, complemented
52#19099226C2211yescharacteristic, complemented
53#19099224C2211yescharacteristic
54#19099208—21no—
55#19099204C2211yescharacteristic
56#19099202—21no—
57#19099201C2211yescharacteristic
58D4×D316C2211yescharacteristic
59#19099197C2211yescharacteristic
60#19099186C2211yescharacteristic
61#19099185C2211yescharacteristic
62#19099176C2211yescharacteristic, complemented
63#19099173C2211yescharacteristic, complemented
64#19099172—21no—
65#19099170—21no—
66#19099153—21no—
67#19099147—21no—
68#19099146—21no—
69#19099131C2211yescharacteristic
70#19099127C2211yescharacteristic
71#19099121—21no—
72#19099116—21no—
73#19099115C2211yescharacteristic, complemented
74#19099108C2211yescharacteristic
75#19099093C2211yescharacteristic
76#19099090—21no—
77C2×#14579150C2211yescharacteristic
78#19099040C2211yescharacteristic, complemented
79#19099039C2211yescharacteristic, complemented
80C2×#14579126C2211yescharacteristic, complemented
81#19098958C2211yescharacteristic, complemented
82#19098956C2211yescharacteristic, complemented
83#19098956C2211yescharacteristic, complemented
84#19098956C2211yescharacteristic, complemented
85#19098936C2211yescharacteristic
86#19098934C2211yescharacteristic
87#19098929C2211yescharacteristic
88#19098926C2211yescharacteristic
89#19098924C2211yescharacteristic, complemented
90#19098924C2211yescharacteristic, complemented
91#19098919C2211yescharacteristic, complemented
92#19098902C2211yescharacteristic, complemented
93#19098890C2211yescharacteristic
94#19098887C2211yescharacteristic
95#19098876C2211yescharacteristic, complemented
96#19098868C2211yescharacteristic, complemented
97#19098866C2211yescharacteristic, complemented
98#19098860C2211yescharacteristic, complemented
99#19098857C2211yescharacteristic, complemented
100#19098857C2211yescharacteristic, complemented
101#19098852C2211yescharacteristic, complemented
102#19098851C2211yescharacteristic, complemented
103#19098847C2211yescharacteristic, complemented
104#19098846C2211yescharacteristic, complemented
105#19098820C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098811C2211yescharacteristic
108#19098810C2211yescharacteristic
109#19098803C2211yescharacteristic, complemented
110#19098794C2211yescharacteristic, complemented
111#19098793C2211yescharacteristic
112#19098792C2211yescharacteristic
113#19098792C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098788C2211yescharacteristic, complemented
119#19098788C2211yescharacteristic, complemented
120#19098788C2211yescharacteristic, complemented
121#19098788C2211yescharacteristic, complemented
122#19098788C2211yescharacteristic, complemented
123#19098788C2211yescharacteristic, complemented
124#19098788C2211yescharacteristic, complemented
125#19098788C2211yescharacteristic, complemented
126#19098788C2211yescharacteristic, complemented
127#19098787C2211yescharacteristic, complemented
128#19098787C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098773C2211yescharacteristic, complemented
131#19098771C2211yescharacteristic, complemented
132#19098769C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098764C2211yescharacteristic
137#19098763C2211yescharacteristic
138#19098762C2211yescharacteristic
139#19098762C2211yescharacteristic
140#19098762C2211yescharacteristic, complemented
141#19098762C2211yescharacteristic, complemented
142#19098762C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic, complemented
144#19098728C2211yescharacteristic, complemented
145#19098728C2211yescharacteristic, complemented
146#19098725C2211yescharacteristic, complemented
147#19098719C2211yescharacteristic, complemented
148#19098718C2211yescharacteristic, complemented
149#19098717C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic
151#19098716C2211yescharacteristic, complemented
152#19098715C2211yescharacteristic, complemented
153#19098715C2211yescharacteristic, complemented
154#19098713C2211yescharacteristic
155#19098713C2211yescharacteristic, complemented
156#19098704C2211yescharacteristic
157#19098704C2211yescharacteristic, complemented
158#19098703C2211yescharacteristic
159#19098701C2211yescharacteristic, complemented
160#19098693C2211yescharacteristic, complemented
161#19098692C2211yescharacteristic, complemented
162#19098668C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098662C2211yescharacteristic, complemented
165#19098662C2211yescharacteristic, complemented
166#19098662C2211yescharacteristic, complemented
167#19098661C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098660C2211yescharacteristic, complemented
170#19098655C2211yescharacteristic, complemented
171C4×#11929613C2211yescharacteristic, complemented
172#19098650C2211yescharacteristic, complemented
173#19098637C2211yescharacteristic, complemented
174#19098635C2211yescharacteristic, complemented
175#19098634C2211yescharacteristic, complemented
176#19098631C2211yescharacteristic, complemented
177C8×C22⋊D79C2211yescharacteristic, complemented
178#19098622C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098617C2211yescharacteristic, complemented
181#19098589C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C2×Dic79⋊C8C2211yescharacteristic, complemented
184#19098567C2211yescharacteristic, complemented
185#19098566C2211yescharacteristic, complemented
186#19098558C2211yescharacteristic, complemented
187C2×#14579081C2211yescharacteristic
188#552×C79C2211yescharacteristic, complemented
189#548×C79C2211yescharacteristic
190#488×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#479×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#464×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199C4×Q16×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#103×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623—21no—
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C2×D4×D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213#14579193—42no—
214#14579191—42no—
215C2×#11929614—42no—
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929613—42no—
223C2×#11929613—42no—
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929613C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929613C2311yescharacteristic
231C2×#11929613C2311yescharacteristic
232C2×#11929613C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929611C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238C2×#11929611C2311yescharacteristic
239SD16×D79—42no—
240C2×#11929608C2311yescharacteristic
241C2×#11929607C2311yescharacteristic
242C22×C79⋊C8C2311yescharacteristic
243C2×C8×D79C2311yescharacteristic
244#14579161C2311yescharacteristic
245#14579160—21no—
246#14579160—21no—
247#14579160—21no—
248#14579160—21no—
249#14579160C2311yescharacteristic
250#14579160C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579159C2311yescharacteristic
253#14579158C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579157C2311yescharacteristic
256#14579156—21no—
257#14579156—21no—
258#14579156—21no—
259#14579156—21no—
260#14579156D411yescharacteristic
261#14579155—21no—
262#14579155—21no—
263#14579154—21no—
264#14579154—21no—
265#14579154—21no—
266#14579154D411yescharacteristic
267#14579153—21no—
268#14579152—21no—
269#14579152—21no—
270#14579152—21no—
271#14579152C2311yescharacteristic
272#14579151—21no—
273#14579151—21no—
274#14579151—21no—
275#14579151—21no—
276#14579151—21no—
277#14579151—21no—
278#14579151—21no—
279#14579151D411yescharacteristic
280#14579150—21no—
281#14579150—21no—
282#14579150—21no—
283#14579150C2311yescharacteristic
284#14579150C2311yescharacteristic
285#14579150C2311yescharacteristic
286#14579150C2311yescharacteristic
287#14579150C2311yescharacteristic
288#14579149—21no—
289#14579149—21no—
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579147D411yescharacteristic
295#14579146—21no—
296#14579146—21no—
297#14579146—21no—
298#14579146—21no—
299#14579145—21no—
300#14579145D411yescharacteristic
301#14579144—21no—
302#14579144—21no—
303#14579143—21no—
304#14579143—21no—
305#14579142D411yescharacteristic
306#14579141—21no—
307#14579141C2311yescharacteristic
308#14579141C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579140C2311yescharacteristic
311#14579139—21no—
312#14579139—21no—
313#14579139—21no—
314#14579138—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138D411yescharacteristic
320#14579137—21no—
321#14579137C2311yescharacteristic
322#14579136—21no—
323#14579136—21no—
324#14579136C2311yescharacteristic
325#14579135—21no—
326#14579135—21no—
327#14579135—21no—
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133D411yescharacteristic
336#14579131—21no—
337#14579131—21no—
338#14579131—21no—
339#14579131—21no—
340#14579131—21no—
341#14579131—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346Q8×Dic79C2311yescharacteristic
347Q8×Dic79C2311yescharacteristic
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158—21no—
351C4×Dic158—21no—
352C4×Dic158—21no—
353C4×Dic158C2311yescharacteristic
354C4×Dic158C2311yescharacteristic
355#14579126—21no—
356#14579126—21no—
357#14579126—21no—
358#14579126—21no—
359#14579126—21no—
360#14579126C2311yescharacteristic
361#14579126C2311yescharacteristic
362#14579126C2311yescharacteristic
363#14579126C2311yescharacteristic
364#14579126C2311yescharacteristic
365#14579126C2311yescharacteristic
366#14579126C2311yescharacteristic
367C4×D316—21no—
368C4×D316C2311yescharacteristic
369D4×Dic79—21no—
370D4×Dic79C2311yescharacteristic
371#14579123C2311yescharacteristic
372#14579123C2311yescharacteristic
373C4×C22⋊D79—21no—
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380#14579120—21no—
381#14579120C2311yescharacteristic
382#14579119—21no—
383#14579119C2311yescharacteristic
384#14579118—21no—
385#14579118C2311yescharacteristic
386#14579117—21no—
387#14579117—21no—
388#14579117—21no—
389C2×Dic79⋊C4—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C2×(C2×D79)⋊C4—21no—
393C22⋊C4×D79—21no—
394C2×C4×Dic79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579093C2311yescharacteristic
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#14579086C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
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
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439#14579071C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×Q8×C79C2311yescharacteristic
443C2×Q16×C79C2311yescharacteristic
444C2×Q16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448#126×C79—21no—
449#125×C79—21no—
450#125×C79C2311yescharacteristic
451#124×C79—21no—
452#124×C79C2311yescharacteristic
453#123×C79—21no—
454C22⋊Q8×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457C22⋊Q8×C79C2311yescharacteristic
458#121×C79—21no—
459#121×C79C2311yescharacteristic
460C4×Q8×C79C2311yescharacteristic
461C4×Q8×C79C2311yescharacteristic
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464#117×C79—21no—
465#117×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#107×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#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929625—41no—
488#11929625—41no—
489#11929623—82no—
490C2×Dic158—22no—
491C2×Dic158—22no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—41no—
498C2×Dic158—41no—
499C2×Dic158C2×D411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503Q8×D79—22no—
504Q8×D79—41no—
505C2×D316—21no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—21no—
511C2×D316—41no—
512C2×D316—41no—
513C2×D316—41no—
514C2×D316—41no—
515C2×D316C2411yescharacteristic
516C2×D316C2411yescharacteristic
517C2×D316C2411yescharacteristic
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⋊D79C2×D411yescharacteristic
526C2×C22⋊D79C2×D411yescharacteristic
527D4×D79—41no—
528D4×D79—41no—
529D4×D79—82no—
530D4×D79—82no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—21no—
534C22×Dic79C2×D411yescharacteristic
535C22×Dic79C2×D411yescharacteristic
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79C2411yescharacteristic
542#11929614—22no—
543#11929614—22no—
544#11929614—41no—
545#11929614—41no—
546#11929614—41no—
547#11929614—41no—
548#11929613—22no—
549#11929613—22no—
550#11929613—22no—
551#11929613—41no—
552#11929613—41no—
553#11929613—41no—
554#11929613—41no—
555#11929613—41no—
556#11929613—41no—
557#11929612—22no—
558#11929612—41no—
559#11929612—41no—
560#11929611—41no—
561#11929611—41no—
562#11929611—41no—
563#11929608—41no—
564#11929607—41no—
565C2×C79⋊C8—41no—
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C2×C79⋊C8C2411yescharacteristic
569C2×C79⋊C8C2411yescharacteristic
570C8×D79—41no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79—21no—
578C4⋊Dic79C2×D411yescharacteristic
579C4⋊Dic79C2×D411yescharacteristic
580C4⋊Dic79C2×D411yescharacteristic
581C4⋊Dic79C2411yescharacteristic
582C4⋊Dic79C2411yescharacteristic
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
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
654#41×C79—41no—
655#41×C79—41no—
656C2×Q8×C79—21no—
657C2×Q8×C79—41no—
658C2×Q8×C79—41no—
659C2×Q8×C79C2411yescharacteristic
660C2×Q8×C79C2411yescharacteristic
661C2×Q8×C79C2411yescharacteristic
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79C2×D411yescharacteristic
665C2×D4×C79C2411yescharacteristic
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671Q16×C79—41no—
672Q16×C79—41no—
673SD16×C79—41no—
674C2×C8×C79—41no—
675C2×C8×C79—41no—
676C2×C8×C79C2411yescharacteristic
677C2×C8×C79C2411yescharacteristic
678C2×C8×C79C2411yescharacteristic
679C2×C8×C79C2411yescharacteristic
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79C2×D411yescharacteristic
689C4⋊C4×C79C2411yescharacteristic
690C4⋊C4×C79C2411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79C2×D411yescharacteristic
701C22⋊C4×C79C2×D411yescharacteristic
702C42×C79—21no—
703C42×C79—21no—
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79C22×D411yescharacteristic
708C23×C79C22×D411yescharacteristic
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—42no—
713C22×D79—81no—
714C22×D79—81no—
715C22×D79—81no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—81no—
729D4×C79—22no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—42no—
733D4×C79—81no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
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—42no—
746C2×C4×C79—81no—
747C2×C4×C79—81no—
748C2×C4×C79C22×D411yescharacteristic
749C2×C4×C79C22×D411yescharacteristic
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C2511yescharacteristic
753C22⋊D79—22no—
754C22⋊D79—41no—
755C22⋊D79—42no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C2×Dic79—22no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—41no—
769C2×Dic79—42no—
770C2×Dic79—42no—
771C2×Dic79—81no—
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776C2×Dic79C22×D411yescharacteristic
777C2×Dic79C22×D411yescharacteristic
778C2×Dic79C22×D411yescharacteristic
779D316—21no—
780D316—21no—
781D316—21no—
782D316—21no—
783D316—21no—
784D316—21no—
785D316—81no—
786D316—81no—
787D316—81no—
788D316—81no—
789D316—81no—
790D316—81no—
791C4×D79—21no—
792C4×D79—21no—
793C4×D79—42no—
794C4×D79—81no—
795C4×D79—81no—
796C4×D79—81no—
797C4×D79—81no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—21no—
803Dic158—41no—
804Dic158—42no—
805Dic158—42no—
806Dic158—42no—
807Dic158—42no—
808Dic158—81no—
809Dic158H(5,𝔽2)12yes—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79#57712yes—
827C22×C79C23×D411yescharacteristic
828C2×D79—21no—
829C2×D79—21no—
830C2×D79—21no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—162no—
841C2×D79—162no—
842C2×D79—162no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—21no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79C2×H(5,𝔽2)11yescharacteristic
855C4×C79#58511yescharacteristic
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—21no—
860Dic79—22no—
861Dic79—21no—
862Dic79—21no—
863Dic79—21no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—22no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79#348811yescharacteristic
873C2×C79C2×#57711yescharacteristic
874C2×C79#358611yescharacteristic
875D79—41no—
876D79—81no—
877D79—81no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311—791no—
887#3310—791no—
888#3310—791no—
889#3300—791no—
890#3300D7911yescharacteristic, complemented
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#3266—791no—
897#3258—791no—
898#3258—791no—
899#3246—791no—
900#3222—791no—
901#3222—791no—
902#3215—791no—
903#3121—791no—
904#3121—791no—
905#3112—791no—
906#3043—791no—
907#3043—791no—
908C2×#464—791no—
909#2992—791no—
910C79#6201911yescharacteristic, complemented, Sylow
911C2×#137—791no—
912C2×#137—791no—
913C22×Q16—791no—
914C22×SD16—791no—
915C22×SD16—791no—
916C22×SD16—791no—
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—791no—
925#556—1581no—
926#552—791no—
927#552—1581no—
928#552—1581no—
929#552C2×D7911yescharacteristic, complemented
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8—791no—
933#548—791no—
934#548C2×D7911yescharacteristic
935#546—791no—
936#546—791no—
937#546—1581no—
938#546—1581no—
939D42—791no—
940D42—791no—
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535—791no—
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519—791no—
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497—791no—
966#492—791no—
967#492—791no—
968#490—791no—
969#490—791no—
970#489—791no—
971#489—791no—
972#488—791no—
973#488C2×D7911yescharacteristic, complemented
974#485—791no—
975#485C2×D7911yescharacteristic, complemented
976#482—791no—
977#482—791no—
978#480—791no—
979#480C2×D7911yescharacteristic, complemented
980#479—791no—
981#479C2×D7911yescharacteristic, complemented
982#478—791no—
983#478—791no—
984#477—791no—
985#477—791no—
986#476—791no—
987#476—791no—
988#475—791no—
989#475—791no—
990#470—791no—
991#470—791no—
992#468—791no—
993#468—791no—
994#467—791no—
995#467C2×D7911yescharacteristic, complemented
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465—791no—
1001#465C2×D7911yescharacteristic, complemented
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464C2×D7911yescharacteristic, complemented
1018#462—791no—
1019#462—791no—
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461—791no—
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460—791no—
1029#460—791no—
1030#460—791no—
1031#460—791no—
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452C2×D7911yescharacteristic, complemented
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451C2×D7911yescharacteristic, complemented
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450—791no—
1045#450—791no—
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448—791no—
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440—791no—
1060C4×Q16—791no—
1061C4×Q16C2×D7911yescharacteristic, complemented
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435—791no—
1068C8×D4—791no—
1069C8×D4C2×D7911yescharacteristic, complemented
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424—791no—
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418—791no—
1078#416—791no—
1079#416C2×D7911yescharacteristic, complemented
1080C2×#103C2×D7911yescharacteristic, complemented
1081C2×#102—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8C22×D7911yescharacteristic
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—1581no—
1093C22×D4—1581no—
1094#137—3162no—
1095#137—3162no—
1096C2×Q16—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16C22×D7911yescharacteristic
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—3162no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
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×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16—791no—
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8C22×D7911yescharacteristic
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8—1581no—
1139#127—791no—
1140#127—791no—
1141#127—791no—
1142#126—21no—
1143#126—791no—
1144#126—791no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#126—1581no—
1152#126—1581no—
1153#126—1581no—
1154#125—21no—
1155#125—791no—
1156#125—791no—
1157#125—1581no—
1158#125—1581no—
1159#125—1581no—
1160#125—1581no—
1161#125—1581no—
1162#125—1581no—
1163#125—1581no—
1164#125—1581no—
1165#125—1581no—
1166#125—1581no—
1167#125—1581no—
1168#125C22×D7911yescharacteristic
1169#124—21no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
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#124C22×D7911yescharacteristic
1186#123—21no—
1187#123—791no—
1188#123—791no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—21no—
1199C22⋊Q8—791no—
1200C22⋊Q8—791no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—1581no—
1206C22⋊Q8—1581no—
1207C22⋊Q8—1581no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8C22×D7911yescharacteristic
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—791no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121C22×D7911yescharacteristic
1234#120—1581no—
1235#120—1581no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
1244C4×Q8—791no—
1245C4×Q8—791no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—1581no—
1256C4×Q8—1581no—
1257C4×Q8—1581no—
1258C4×Q8—1581no—
1259C4×Q8—1581no—
1260C4×Q8—1581no—
1261C4×Q8—1581no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8C22×D7911yescharacteristic
1266C4×Q8C22×D7911yescharacteristic
1267C4×D4—21no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4C22×D7911yescharacteristic
1282#117—21no—
1283#117—791no—
1284#117—791no—
1285#117—791no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117—1581no—
1292#117C22×D7911yescharacteristic
1293C2×C4⋊C4—1581no—
1294C2×C4⋊C4C22×D7911yescharacteristic
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107C22×D7911yescharacteristic
1304#107C22×D7911yescharacteristic
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106C22×D7911yescharacteristic
1309C4⋊C8—791no—
1310C4⋊C8—791no—
1311C4⋊C8—791no—
1312C4⋊C8—791no—
1313C4⋊C8—791no—
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8C22×D7911yescharacteristic
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#103C22×D7911yescharacteristic
1329#103C22×D7911yescharacteristic
1330#103C22×D7911yescharacteristic
1331#103C22×D7911yescharacteristic
1332#103C22×D7911yescharacteristic
1333#103C22×D7911yescharacteristic
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102—791no—
1347#102—791no—
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8C22×D7911yescharacteristic
1356C22⋊C8C22×D7911yescharacteristic
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360#97—791no—
1361C4×C8—791no—
1362C4×C8C22×D7911yescharacteristic
1363C24—1581no—
1364C24—1581no—
1365C24—1581no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—21no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—3161no—
1377C2×Q8—791no—
1378C2×Q8—791no—
1379C2×Q8—791no—
1380C2×Q8—791no—
1381C2×Q8—1582no—
1382C2×Q8—1582no—
1383C2×Q8—1581no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1582no—
1387C2×Q8—1581no—
1388C2×Q8—1581no—
1389C2×Q8C23×D7911yescharacteristic
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—3161no—
1395C2×D4—3161no—
1396C2×D4—3161no—
1397C2×D4—3161no—
1398C2×D4—3161no—
1399C2×D4—3161no—
1400C2×D4—791no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—791no—
1404C2×D4—791no—
1405C2×D4—6322no—
1406C2×D4—6322no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4—1581no—
1420C2×D4D4×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—791no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—1581no—
1429C22×C4—1581no—
1430C22×C4—1581no—
1431C22×C4—1581no—
1432C22×C4—1581no—
1433C22×C4—1581no—
1434C22×C4—1581no—
1435C22×C4—1581no—
1436C22×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438Q16—41no—
1439Q16—41no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—1582no—
1445Q16—1582no—
1446SD16—41no—
1447SD16—3161no—
1448SD16—3161no—
1449SD16—3161no—
1450SD16—3161no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—1582no—
1459SD16—1582no—
1460SD16—1582no—
1461SD16—1582no—
1462M16—3161no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1564C22⋊C4D4×D7911yescharacteristic
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—1581no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—3162no—
1587C23—791no—
1588C23—6321no—
1589C23—6321no—
1590C23—6321no—
1591C23—6321no—
1592C23—6321no—
1593C23—6321no—
1594C23—6321no—
1595C23—6321no—
1596C23—1581no—
1597C23—1581no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—81no—
1608Q8—3162no—
1609Q8—3162no—
1610Q8—3161no—
1611Q8—3162no—
1612Q8—3162no—
1613Q8—792no—
1614Q8—6321no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8—1581no—
1620D4—22no—
1621D4—21no—
1622D4—21no—
1623D4—42no—
1624D4—81no—
1625D4—3162no—
1626D4—3161no—
1627D4—6321no—
1628D4—6321no—
1629D4—6321no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—1582no—
1640D4—1581no—
1641D4—1581no—
1642D4—1581no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—3162no—
1661C2×C4—3162no—
1662C2×C4—3162no—
1663C2×C4—3161no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—791no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—6321no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1582no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—1581no—
1715C22—1581no—
1716C22—1581no—
1717C22—12642no—
1718C22—12642no—
1719C22—12642no—
1720C22#1909937012yes—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—1582no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4H(5,𝔽2)×D7911yescharacteristic
1746C4#1909939911yescharacteristic
1747C2—22no—
1748C2—41no—
1749C2—81no—
1750C2—3161no—
1751C2—6321no—
1752C2—6321no—
1753C2—6321no—
1754C2#2377706311yescharacteristic
1755C2C2×#1909937011yescharacteristic
1756C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3300C2
socleC22×C79C23×D4
prime radical#23777917C2
hypercenter#3300D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3300

Complements

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

NH ≅ G/Ntype
2. #23777489C2semidirect
3. #23776456C2semidirect
4. #23776451C2semidirect
5. #23776174C2semidirect
6. #23776171C2semidirect
7. #23775439C2semidirect
8. #23775432C2semidirect
9. #23775419C2semidirect
10. #23775415C2semidirect
11. #23775283C2semidirect
12. D4×#11929613C2semidirect
13. #23775093C2semidirect
14. #23774974C2semidirect
15. #23774966C2semidirect
16. #23774908C2semidirect
17. #23774907C2semidirect
18. #23774832C2semidirect
19. #23774829C2semidirect
20. #23774711C2semidirect
21. #23774475C2semidirect
22. #23774470C2semidirect
23. #23774402C2semidirect
24. #23773635C2semidirect
25. #23773632C2semidirect
26. #23773519C2semidirect
27. #23772924C2semidirect
28. #23772919C2semidirect
29. C2×#19098788C2semidirect
30. #23772533C2semidirect
31. C79×#3300C2semidirect
32. C2×#14579193C22semidirect
33. C2×#14579191C22semidirect
34. C22×#11929614C22semidirect
36. C22×#11929613C22semidirect
37. C2×SD16×D79C22semidirect
42. #19099291C22semidirect
44. #19099290C22semidirect
45. #19099281C22semidirect
48. #19099248C22semidirect
50. D4×Dic158C22semidirect
51. #19099226C22semidirect
52. #19099226C22semidirect
62. #19099176C22semidirect
63. #19099173C22semidirect
73. #19099115C22semidirect
78. #19099040C22semidirect
79. #19099039C22semidirect
80. C2×#14579126C22semidirect
81. #19098958C22semidirect
82. #19098956C22semidirect
83. #19098956C22semidirect
84. #19098956C22semidirect
89. #19098924C22semidirect
90. #19098924C22semidirect
91. #19098919C22semidirect
92. #19098902C22semidirect
95. #19098876C22semidirect
96. #19098868C22semidirect
97. #19098866C22semidirect
98. #19098860C22semidirect
99. #19098857C22semidirect
100. #19098857C22semidirect
101. #19098852C22semidirect
102. #19098851C22semidirect
103. #19098847C22semidirect
104. #19098846C22semidirect
105. #19098820C22semidirect
106. #19098819C22semidirect
109. #19098803C22semidirect
110. #19098794C22semidirect
113. #19098792C22semidirect
114. #19098790C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098788C22semidirect
118. #19098788C22semidirect
119. #19098788C22semidirect
120. #19098788C22semidirect
121. #19098788C22semidirect
122. #19098788C22semidirect
123. #19098788C22semidirect
124. #19098788C22semidirect
125. #19098788C22semidirect
126. #19098788C22semidirect
127. #19098787C22semidirect
128. #19098787C22semidirect
129. #19098782C22semidirect
130. #19098773C22semidirect
131. #19098771C22semidirect
132. #19098769C22semidirect
133. #19098767C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
140. #19098762C22semidirect
141. #19098762C22semidirect
142. #19098762C22semidirect
143. #19098761C22semidirect
144. #19098728C22semidirect
145. #19098728C22semidirect
146. #19098725C22semidirect
147. #19098719C22semidirect
148. #19098718C22semidirect
149. #19098717C22semidirect
151. #19098716C22semidirect
152. #19098715C22semidirect
153. #19098715C22semidirect
155. #19098713C22semidirect
157. #19098704C22semidirect
159. #19098701C22semidirect
160. #19098693C22semidirect
161. #19098692C22semidirect
162. #19098668C22semidirect
163. #19098667C22semidirect
164. #19098662C22semidirect
165. #19098662C22semidirect
166. #19098662C22semidirect
167. #19098661C22semidirect
168. #19098660C22semidirect
169. #19098660C22semidirect
170. #19098655C22semidirect
171. C4×#11929613C22semidirect
172. #19098650C22semidirect
173. #19098637C22semidirect
174. #19098635C22semidirect
175. #19098634C22semidirect
176. #19098631C22semidirect
177. C8×C22⋊D79C22semidirect
178. #19098622C22semidirect
179. #19098621C22semidirect
180. #19098617C22semidirect
181. #19098589C22semidirect
182. #19098588C22semidirect
183. C2×Dic79⋊C8C22semidirect
184. #19098567C22semidirect
185. #19098566C22semidirect
186. #19098558C22semidirect
188. #552×C79C22semidirect
190. #488×C79C22semidirect
191. #485×C79C22semidirect
192. #480×C79C22semidirect
193. #479×C79C22semidirect
194. #467×C79C22semidirect
195. #465×C79C22semidirect
196. #464×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. C4×Q16×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#103×C79C22semidirect
890. #3300D79semidirect
910. C79#62019semidirect
929. #552C2×D79semidirect
973. #488C2×D79semidirect
975. #485C2×D79semidirect
979. #480C2×D79semidirect
981. #479C2×D79semidirect
995. #467C2×D79semidirect
1001. #465C2×D79semidirect
1017. #464C2×D79semidirect
1035. #452C2×D79semidirect
1039. #451C2×D79semidirect
1061. C4×Q16C2×D79semidirect
1069. C8×D4C2×D79semidirect
1079. #416C2×D79semidirect
1080. C2×#103C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779172
#237774892
#237764562
#237764512
#237761742
#237761712
#237754392
#237754322
#237754192
#237754152
#237752832
D4×#119296132
#237750932
#237749742
#237749662
#237749082
#237749072
#237748322
#237748292
#237747112
#237744752
#237744702
#237744022
#237736352
#237736322
#237735192
#237729242
#237729192
C2×#190987882
#237725332
C79×#33002
#6201979