Finite Group Databasebeta

← #35181808

Subgroups — #35181808

Order 20224.

1902 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#23777959C211yesmaximal, characteristic, complemented
2#23777428C211yesmaximal, characteristic, complemented
3#23776423C211yesmaximal, characteristic, complemented
4#23776418C211yesmaximal, characteristic, complemented
5#23776233C211yesmaximal, characteristic, complemented
6#23776230C211yesmaximal, characteristic, complemented
7#23775589C211yesmaximal, characteristic, complemented
8#23775582C211yesmaximal, characteristic, complemented
9#23775569C211yesmaximal, characteristic, complemented
10#23775565C211yesmaximal, characteristic, complemented
11#23775246C211yesmaximal, characteristic, complemented
12D4×#11929613C211yesmaximal, characteristic, complemented
13#23775093C211yesmaximal, characteristic, complemented
14#23774898C211yesmaximal, characteristic, complemented
15#23774892C211yesmaximal, characteristic, complemented
16#23774881C211yesmaximal, characteristic, complemented
17#23774873C211yesmaximal, characteristic, complemented
18#23774815C211yesmaximal, characteristic, complemented
19#23774804C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774464C211yesmaximal, characteristic, complemented
22#23774459C211yesmaximal, characteristic, complemented
23#23774384C211yesmaximal, characteristic, complemented
24#23773580C211yesmaximal, characteristic, complemented
25#23773579C211yesmaximal, characteristic, complemented
26#23773496C211yesmaximal, characteristic, complemented
27#23772915C211yesmaximal, characteristic, complemented
28#23772910C211yesmaximal, characteristic, complemented
29C2×#19098777C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31C79×#3297C211yesmaximal, characteristic, complemented
32C2×#14579186C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C22×#11929613C2211yescharacteristic
35C22×#11929613C2211yescharacteristic, complemented
36C2×SD16×D79C2211yescharacteristic, complemented
37C22×#11929609C2211yescharacteristic
38#19099316—21no—
39#19099308—21no—
40#19099283C2211yescharacteristic, complemented
41#19099282C2211yescharacteristic, complemented
42#19099276C2211yescharacteristic, complemented
43#19099269C2211yescharacteristic, complemented
44#19099264—21no—
45#19099261C2211yescharacteristic
46#19099244—21no—
47#19099239—21no—
48#19099234C2211yescharacteristic, complemented
49D4×Dic158C2211yescharacteristic, complemented
50#19099226C2211yescharacteristic, complemented
51#19099220C2211yescharacteristic, complemented
52#19099219C2211yescharacteristic, complemented
53#19099208—21no—
54#19099207C2211yescharacteristic, complemented
55#19099205—21no—
56#19099202—21no—
57D4×D316C2211yescharacteristic
58#19099197C2211yescharacteristic
59#19099197C2211yescharacteristic, complemented
60#19099189—21no—
61#19099181—21no—
62#19099180—21no—
63#19099180C2211yescharacteristic, complemented
64#19099178C2211yescharacteristic, complemented
65#19099169C2211yescharacteristic, complemented
66#19099166C2211yescharacteristic, complemented
67#19099152—21no—
68#19099149—21no—
69#19099148—21no—
70#19099134C2211yescharacteristic, complemented
71#19099133C2211yescharacteristic, complemented
72#19099115C2211yescharacteristic, complemented
73#19099108C2211yescharacteristic
74#19099093C2211yescharacteristic
75C2×#14579148C2211yescharacteristic, complemented
76#19099072—21no—
77#121×D79—21no—
78#19099037C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic
81#19098953C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic, complemented
84#19098951C2211yescharacteristic, complemented
85#19098936C2211yescharacteristic, complemented
86#19098934C2211yescharacteristic, complemented
87#19098933C2211yescharacteristic, complemented
88#19098930C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098921C2211yescharacteristic, complemented
91#19098916C2211yescharacteristic, complemented
92#19098906C2211yescharacteristic, complemented
93#19098904C2211yescharacteristic, complemented
94#19098898C2211yescharacteristic, complemented
95#19098886C2211yescharacteristic, complemented
96#19098869C2211yescharacteristic, complemented
97#19098867C2211yescharacteristic, complemented
98#19098865C2211yescharacteristic, complemented
99#19098852C2211yescharacteristic, complemented
100#19098851C2211yescharacteristic, complemented
101#19098847C2211yescharacteristic, complemented
102#19098846C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098842C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098814C2211yescharacteristic, complemented
107#19098810C2211yescharacteristic, complemented
108#19098807C2211yescharacteristic, complemented
109#19098798C2211yescharacteristic, complemented
110#19098794C2211yescharacteristic, complemented
111#19098793C2211yescharacteristic, complemented
112#19098792C2211yescharacteristic, complemented
113#19098792C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098777C2211yescharacteristic
116#19098777C2211yescharacteristic
117#19098777C2211yescharacteristic
118#19098777C2211yescharacteristic
119#19098777C2211yescharacteristic
120#19098777C2211yescharacteristic, complemented
121#19098777C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098777C2211yescharacteristic, complemented
124#19098777C2211yescharacteristic, complemented
125#19098777C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098776C2211yescharacteristic, complemented
129#19098775C2211yescharacteristic
130#19098769C2211yescharacteristic, complemented
131#19098768C2211yescharacteristic, complemented
132#19098767C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098767C2211yescharacteristic, complemented
136#19098767C2211yescharacteristic, complemented
137#19098766C2211yescharacteristic, complemented
138#19098764C2211yescharacteristic, complemented
139#19098762C2211yescharacteristic, complemented
140#19098762C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098758C2211yescharacteristic, complemented
143#19098756C2211yescharacteristic, complemented
144#19098716C2211yescharacteristic
145#19098716C2211yescharacteristic, complemented
146#19098715C2211yescharacteristic, complemented
147#19098713C2211yescharacteristic
148#19098709C2211yescharacteristic, complemented
149#19098709C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098704C2211yescharacteristic, complemented
152#19098704C2211yescharacteristic, complemented
153#19098703C2211yescharacteristic, complemented
154#19098703C2211yescharacteristic, complemented
155#19098701C2211yescharacteristic, complemented
156#19098701C2211yescharacteristic, complemented
157#19098697C2211yescharacteristic, complemented
158#19098696C2211yescharacteristic
159#19098695C2211yescharacteristic
160#19098693C2211yescharacteristic, complemented
161#19098692C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic
163#19098672C2211yescharacteristic
164#19098666C2211yescharacteristic, complemented
165#19098666C2211yescharacteristic, complemented
166#19098663C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098662C2211yescharacteristic, complemented
169#19098662C2211yescharacteristic, complemented
170C4×#11929613C2211yescharacteristic, complemented
171#19098650C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, 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#19098571C2211yescharacteristic, complemented
185#19098570C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187C2×#14579084C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic
189#546×C79C2211yescharacteristic, complemented
190#488×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199C4×D8×C79C2211yescharacteristic, complemented
200C8×D4×C79C2211yescharacteristic, complemented
201#416×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79C2311yescharacteristic
215C22×C4×D79—21no—
216#14579186—42no—
217#14579185—42no—
218C2×#11929613—42no—
219C2×#11929613—42no—
220C2×#11929613C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929613C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929612C2311yescharacteristic
230C2×#11929612C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929611C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235SD16×D79—42no—
236C2×#11929609—42no—
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929608C2311yescharacteristic
244C2×#11929607C2311yescharacteristic
245C22×C79⋊C8C2311yescharacteristic
246C2×C8×D79C2311yescharacteristic
247#14579161C2311yescharacteristic
248#14579160—21no—
249#14579160—21no—
250#14579160C2311yescharacteristic
251#14579160C2311yescharacteristic
252#14579159C2311yescharacteristic
253#14579159C2311yescharacteristic
254#14579158C2311yescharacteristic
255#14579157C2311yescharacteristic
256#14579157C2311yescharacteristic
257#14579156—21no—
258#14579156D411yescharacteristic
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579154—21no—
265#14579154D411yescharacteristic
266#14579152C2311yescharacteristic
267#14579151—21no—
268#14579151D411yescharacteristic
269#14579149—21no—
270#14579148—21no—
271#14579148—21no—
272#14579148—21no—
273#14579148—21no—
274#14579148C2311yescharacteristic
275#14579148C2311yescharacteristic
276#14579148C2311yescharacteristic
277#14579148C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147D411yescharacteristic
284#14579146—21no—
285#14579146—21no—
286#14579146—21no—
287#14579145—21no—
288#14579145D411yescharacteristic
289#14579144—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143—21no—
293#14579142—21no—
294#14579142—21no—
295#14579142—21no—
296#14579142—21no—
297#14579142D411yescharacteristic
298#14579141—21no—
299#14579141C2311yescharacteristic
300#14579140—21no—
301#14579140—21no—
302#14579140—21no—
303#14579140—21no—
304#14579140—21no—
305#14579140C2311yescharacteristic
306#14579140C2311yescharacteristic
307#14579139—21no—
308#14579139—21no—
309#14579139—21no—
310#14579138—21no—
311#14579138—21no—
312#14579138—21no—
313#14579138—21no—
314#14579138—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138D411yescharacteristic
320#14579136—21no—
321#14579136—21no—
322#14579136—21no—
323#14579136C2311yescharacteristic
324#14579136C2311yescharacteristic
325#14579135—21no—
326#14579135—21no—
327#14579135C2311yescharacteristic
328#14579135C2311yescharacteristic
329#14579134—21no—
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579133—21no—
335#14579133—21no—
336#14579133—21no—
337#14579133—21no—
338#14579133D411yescharacteristic
339#14579132—21no—
340#14579132—21no—
341#14579132C2311yescharacteristic
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579130—21no—
347#14579129—21no—
348#14579129—21no—
349Q8×Dic79C2311yescharacteristic
350C4×Dic158C2311yescharacteristic
351C4×Dic158C2311yescharacteristic
352#14579126—21no—
353#14579126C2311yescharacteristic
354#14579126C2311yescharacteristic
355C4×D316—21no—
356C4×D316—21no—
357C4×D316C2311yescharacteristic
358D4×Dic79—21no—
359D4×Dic79—21no—
360D4×Dic79C2311yescharacteristic
361D4×Dic79C2311yescharacteristic
362#14579123—21no—
363#14579123—21no—
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366#14579123C2311yescharacteristic
367#14579123C2311yescharacteristic
368#14579123C2311yescharacteristic
369#14579123C2311yescharacteristic
370#14579123C2311yescharacteristic
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
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#14579120—21no—
380#14579120C2311yescharacteristic
381#14579119C2311yescharacteristic
382#14579118—21no—
383#14579118C2311yescharacteristic
384#14579117—21no—
385#14579117—21no—
386C4⋊C4×D79—21no—
387C2×C22⋊Dic79—21no—
388C2×C22⋊Dic79—21no—
389C2×C22⋊Dic79—21no—
390C2×(C2×D79)⋊C4—21no—
391C2×(C2×D79)⋊C4—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—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#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579083C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
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×D4×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448#126×C79—21no—
449#125×C79C2311yescharacteristic
450#124×C79C2311yescharacteristic
451#123×C79—21no—
452#123×C79—21no—
453C22⋊Q8×C79C2311yescharacteristic
454#121×C79—21no—
455#121×C79—21no—
456#121×C79C2311yescharacteristic
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460C4×D4×C79—21no—
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464#117×C79C2311yescharacteristic
465C2×C4⋊C4×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929624—82no—
488#11929623—41no—
489#11929623—41no—
490#11929623—82no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—41no—
497C2×Dic158—41no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158C2×D411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×Dic158C2411yescharacteristic
504Q8×D79—41no—
505Q8×D79—41no—
506C2×D316—21no—
507C2×D316—21no—
508C2×D316—22no—
509C2×D316—22no—
510C2×D316—21no—
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—21no—
514C2×D316—41no—
515C2×D316—41no—
516C2×D316C2411yescharacteristic
517C2×D316C2411yescharacteristic
518C2×D316C2411yescharacteristic
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79C2×D411yescharacteristic
529C2×C22⋊D79C2×D411yescharacteristic
530D4×D79—22no—
531D4×D79—41no—
532D4×D79—82no—
533D4×D79—82no—
534D4×D79—82no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79C2×D411yescharacteristic
541C22×Dic79C2×D411yescharacteristic
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—21no—
550C2×C4×D79—21no—
551C2×C4×D79—82no—
552C2×C4×D79C2411yescharacteristic
553#11929613—22no—
554#11929613—22no—
555#11929613—22no—
556#11929613—41no—
557#11929613—41no—
558#11929613—41no—
559#11929613—41no—
560#11929613—41no—
561#11929613—41no—
562#11929612—41no—
563#11929612—41no—
564#11929612—41no—
565#11929611—22no—
566#11929611—41no—
567#11929611—41no—
568#11929609—22no—
569#11929609—22no—
570#11929609—41no—
571#11929609—41no—
572#11929609—41no—
573#11929609—41no—
574#11929608—41no—
575#11929607—41no—
576C2×C79⋊C8—41no—
577C2×C79⋊C8C2411yescharacteristic
578C2×C79⋊C8C2411yescharacteristic
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C8×D79—41no—
582C4⋊Dic79—21no—
583C4⋊Dic79—21no—
584C4⋊Dic79—21no—
585C4⋊Dic79—21no—
586C4⋊Dic79—21no—
587C4⋊Dic79C2×D411yescharacteristic
588C4⋊Dic79C2×D411yescharacteristic
589C4⋊Dic79C2×D411yescharacteristic
590C4⋊Dic79C2411yescharacteristic
591C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
609Dic79⋊C4C2×D411yescharacteristic
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79—21no—
621C22⋊Dic79—21no—
622C22⋊Dic79—21no—
623C22⋊Dic79—21no—
624C22⋊Dic79—21no—
625C22⋊Dic79C2×D411yescharacteristic
626C22⋊Dic79C2×D411yescharacteristic
627C22⋊Dic79C2×D411yescharacteristic
628C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
643(C2×D79)⋊C4C2×D411yescharacteristic
644(C2×D79)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646(C2×D79)⋊C4C2×D411yescharacteristic
647C4×Dic79—21no—
648C4×Dic79—21no—
649C4×Dic79—21no—
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79C2×D411yescharacteristic
653C4×Dic79C2×D411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C24×C79—21no—
658#41×C79—41no—
659#41×C79—41no—
660C2×Q8×C79C2411yescharacteristic
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—21no—
666C2×D4×C79—41no—
667C2×D4×C79—41no—
668C2×D4×C79C2×D411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C2×D4×C79C2411yescharacteristic
671C2×D4×C79C2411yescharacteristic
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79—21no—
675C22×C4×C79—21no—
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678SD16×C79—41no—
679D8×C79—41no—
680D8×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79—41no—
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×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×C79—21no—
705C22⋊C4×C79C2×D411yescharacteristic
706C22⋊C4×C79C2×D411yescharacteristic
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—42no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—42no—
721C22×D79—42no—
722C22×D79—42no—
723C22×D79—42no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79—81no—
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732D4×C79—22no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—21no—
738D4×C79—21no—
739D4×C79—42no—
740D4×C79—81no—
741D4×C79—81no—
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—81no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79—81no—
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C2511yescharacteristic
762C22⋊D79—22no—
763C22⋊D79—41no—
764C22⋊D79—42no—
765C22⋊D79—42no—
766C22⋊D79—42no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C2×Dic79—22no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—41no—
780C2×Dic79—81no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79—81no—
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—42no—
798D316—42no—
799D316—81no—
800D316—81no—
801D316—81no—
802D316—81no—
803D316H(5,𝔽2)12yes—
804C4×D79—21no—
805C4×D79—21no—
806C4×D79—42no—
807C4×D79—42no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
813C4×D79—81no—
814C4×D79—81no—
815Dic158—21no—
816Dic158—21no—
817Dic158—21no—
818Dic158—21no—
819Dic158—21no—
820Dic158—21no—
821Dic158—41no—
822Dic158—81no—
823Dic158—81no—
824Dic158—81no—
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×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—162no—
850C22×C79#57712yes—
851C22×C79C23×D411yescharacteristic
852C2×D79—21no—
853C2×D79—22no—
854C2×D79—21no—
855C2×D79—21no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—84no—
865C2×D79—162no—
866C2×D79—162no—
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×C79C2×H(5,𝔽2)11yescharacteristic
877C4×C79#58511yescharacteristic
878Dic79—21no—
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—21no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79—41no—
890#62016—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—41no—
893C2×C79—81no—
894C2×C79—81no—
895C2×C79—81no—
896C2×C79#348811yescharacteristic
897C2×C79C2×#57711yescharacteristic
898C2×C79#358511yescharacteristic
899D79—41no—
900D79—42no—
901D79—81no—
902D79—81no—
903#3561—791no—
904#3519—791no—
905#3397—791no—
906#3397—791no—
907#3376—791no—
908#3376—791no—
909#3321—791no—
910#3321—791no—
911#3320—791no—
912#3320—791no—
913#3297—791no—
914#3297D7911yescharacteristic, complemented
915D4×SD16—791no—
916D4×SD16—791no—
917#3265—791no—
918#3265—791no—
919#3264—791no—
920#3264—791no—
921#3257—791no—
922#3257—791no—
923#3246—791no—
924#3221—791no—
925#3221—791no—
926#3213—791no—
927#3118—791no—
928#3118—791no—
929#3110—791no—
930#3042—791no—
931#3042—791no—
932C2×#463—791no—
933#2992—791no—
934C79#6201611yescharacteristic, complemented, Sylow
935C2×AGL(1,ℤ/8)—791no—
936C2×AGL(1,ℤ/8)—791no—
937C22×SD16—791no—
938C22×SD16—791no—
939C22×SD16—791no—
940C22×D8—791no—
941#563—1581no—
942#562—1581no—
943#556—791no—
944#556—791no—
945#555—791no—
946#554—791no—
947#553—791no—
948#553—1581no—
949#553C2×D7911yescharacteristic
950#551—1581no—
951#551—1581no—
952#550—791no—
953D4×Q8—791no—
954D4×Q8—791no—
955#548—791no—
956#548—791no—
957#546—791no—
958#546—1581no—
959#546—1581no—
960#546—1581no—
961#546C2×D7911yescharacteristic, complemented
962D42—791no—
963D42—791no—
964D42—791no—
965#543—1581no—
966#542—791no—
967#542—791no—
968#542—1581no—
969#542—1581no—
970#540—791no—
971#540—791no—
972#538—1581no—
973#538—1581no—
974#538—1581no—
975#536—791no—
976#536—791no—
977#533—791no—
978#532—791no—
979#529—791no—
980C2×#124—791no—
981#525—1581no—
982C2×#121—1581no—
983#518—791no—
984#518—791no—
985C2×C4×D4—791no—
986#496—791no—
987#496—791no—
988#496—791no—
989#496—791no—
990#492—791no—
991#492—791no—
992#491—791no—
993#491—791no—
994#489—791no—
995#489—791no—
996#488—791no—
997#488C2×D7911yescharacteristic, complemented
998#485—791no—
999#485—791no—
1000#484—791no—
1001#484C2×D7911yescharacteristic, complemented
1002#482—791no—
1003#482C2×D7911yescharacteristic, complemented
1004#479—791no—
1005#479—791no—
1006#478—791no—
1007#478C2×D7911yescharacteristic, complemented
1008#476—791no—
1009#476—791no—
1010#475—791no—
1011#475—791no—
1012#474—791no—
1013#474—791no—
1014#469—791no—
1015#469—791no—
1016#468—791no—
1017#468—791no—
1018#466—791no—
1019#466C2×D7911yescharacteristic, complemented
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465—791no—
1025#465C2×D7911yescharacteristic, complemented
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463—791no—
1030#463—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#463C2×D7911yescharacteristic, complemented
1042#461—791no—
1043#461—791no—
1044#461—791no—
1045#461—791no—
1046#461—791no—
1047#461—791no—
1048#461—791no—
1049#461—791no—
1050#460—791no—
1051#460—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#450—791no—
1057#450—791no—
1058#450—791no—
1059#450—791no—
1060#449—791no—
1061#449—791no—
1062#449—791no—
1063#449C2×D7911yescharacteristic, complemented
1064#448—791no—
1065#448—791no—
1066#448—791no—
1067#448—791no—
1068#448—791no—
1069#448—791no—
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447C2×D7911yescharacteristic, complemented
1074#446—791no—
1075#446—791no—
1076#442—791no—
1077#442—791no—
1078#440—791no—
1079#440—791no—
1080#440—791no—
1081#440—791no—
1082#440—791no—
1083#440—791no—
1084C4×SD16—791no—
1085C4×SD16—791no—
1086C4×D8—791no—
1087C4×D8C2×D7911yescharacteristic, complemented
1088#435—791no—
1089#435—791no—
1090#435—791no—
1091#435—791no—
1092C8×D4—791no—
1093C8×D4C2×D7911yescharacteristic, complemented
1094#433—791no—
1095#433—791no—
1096#432—791no—
1097#424—791no—
1098#424—791no—
1099C2×C4⋊C8—791no—
1100#419—791no—
1101#419—791no—
1102#416—791no—
1103#416C2×D7911yescharacteristic, complemented
1104C2×#103—791no—
1105C2×#102C2×D7911yescharacteristic, complemented
1106C2×#41—791no—
1107C2×#41—1581no—
1108C2×#41—1581no—
1109C2×#41C22×D7911yescharacteristic
1110C22×Q8—791no—
1111C22×Q8—791no—
1112C22×Q8—791no—
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—1581no—
1117C22×D4—1581no—
1118C22×D4—1581no—
1119C22×D4C22×D7911yescharacteristic
1120C23×C4—1581no—
1121AGL(1,ℤ/8)—3162no—
1122AGL(1,ℤ/8)—3162no—
1123C2×SD16—3162no—
1124C2×SD16—3162no—
1125C2×SD16—3162no—
1126C2×SD16—791no—
1127C2×SD16—791no—
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×SD16—791no—
1139C2×SD16—791no—
1140C2×SD16—791no—
1141C2×SD16C22×D7911yescharacteristic
1142C2×D8—3162no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8C22×D7911yescharacteristic
1150C2×D8C22×D7911yescharacteristic
1151C2×M16—791no—
1152C2×M16—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8C22×D7911yescharacteristic
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—791no—
1162C4⋊Q8—1581no—
1163C4⋊Q8—1581no—
1164#127—791no—
1165#127—791no—
1166#127—791no—
1167#126—21no—
1168#126—791no—
1169#126—791no—
1170#126—1581no—
1171#126—1581no—
1172#126—1581no—
1173#126—1581no—
1174#126—1581no—
1175#126—1581no—
1176#126—1581no—
1177#125—791no—
1178#125—791no—
1179#125—1581no—
1180#125C22×D7911yescharacteristic
1181#124—791no—
1182#124—791no—
1183#124—791no—
1184#124—791no—
1185#124—791no—
1186#124—791no—
1187#124—1581no—
1188#124—1581no—
1189#124—1581no—
1190#124—1581no—
1191#124—1581no—
1192#124—1581no—
1193#124—1581no—
1194#124—1581no—
1195#124—1581no—
1196#124C22×D7911yescharacteristic
1197#123—21no—
1198#123—21no—
1199#123—791no—
1200#123—791no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208#123—1581no—
1209#123—1581no—
1210#123—1581no—
1211#123—1581no—
1212#123—1581no—
1213C22⋊Q8—791no—
1214C22⋊Q8—791no—
1215C22⋊Q8—791no—
1216C22⋊Q8—791no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8—1581no—
1225C22⋊Q8—1581no—
1226C22⋊Q8—1581no—
1227C22⋊Q8—1581no—
1228C22⋊Q8—1581no—
1229C22⋊Q8—1581no—
1230C22⋊Q8—1581no—
1231C22⋊Q8—1581no—
1232C22⋊Q8—1581no—
1233C22⋊Q8—1581no—
1234C22⋊Q8—1581no—
1235C22⋊Q8C22×D7911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—791no—
1239#121—791no—
1240#121—791no—
1241#121—791no—
1242#121—791no—
1243#121—791no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121—1581no—
1248#121—1581no—
1249#121—1581no—
1250#121—1581no—
1251#121—1581no—
1252#121—1581no—
1253#121—1581no—
1254#121—1581no—
1255#121—1581no—
1256#121—1581no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121C22×D7911yescharacteristic
1261#121C22×D7911yescharacteristic
1262#121C22×D7911yescharacteristic
1263#120—21no—
1264#120—1581no—
1265#120—1581no—
1266#120—1581no—
1267#120—1581no—
1268#120—1581no—
1269#120—1581no—
1270#120—1581no—
1271C4×Q8—791no—
1272C4×Q8—791no—
1273C4×Q8—791no—
1274C4×Q8—791no—
1275C4×Q8—791no—
1276C4×Q8—1581no—
1277C4×D4—21no—
1278C4×D4—791no—
1279C4×D4—791no—
1280C4×D4—791no—
1281C4×D4—791no—
1282C4×D4—791no—
1283C4×D4—791no—
1284C4×D4—791no—
1285C4×D4—791no—
1286C4×D4—791no—
1287C4×D4—791no—
1288C4×D4—791no—
1289C4×D4—791no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4—1581no—
1295C4×D4—1581no—
1296C4×D4—1581no—
1297C4×D4—1581no—
1298C4×D4—1581no—
1299C4×D4—1581no—
1300C4×D4—1581no—
1301C4×D4—1581no—
1302C4×D4C22×D7911yescharacteristic
1303C4×D4C22×D7911yescharacteristic
1304C4×D4C22×D7911yescharacteristic
1305#117—791no—
1306#117—791no—
1307#117—791no—
1308#117—1581no—
1309#117—1581no—
1310#117—1581no—
1311#117—1581no—
1312#117C22×D7911yescharacteristic
1313C2×C4⋊C4—1581no—
1314C2×C4⋊C4C22×D7911yescharacteristic
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—1581no—
1317C2×C22⋊C4—1581no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C22⋊C4—1581no—
1322C2×C22⋊C4—1581no—
1323C2×C22⋊C4—1581no—
1324C2×C42—791no—
1325#107—791no—
1326#107—791no—
1327#107C22×D7911yescharacteristic
1328#107C22×D7911yescharacteristic
1329#106—791no—
1330#106—791no—
1331#106—791no—
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#103—791no—
1352#103—791no—
1353#103—791no—
1354#103—791no—
1355#103—791no—
1356#103C22×D7911yescharacteristic
1357#103C22×D7911yescharacteristic
1358#103C22×D7911yescharacteristic
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#102C22×D7911yescharacteristic
1369#102C22×D7911yescharacteristic
1370#102C22×D7911yescharacteristic
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
1381#97—791no—
1382#97—791no—
1383#97—791no—
1384#97—791no—
1385C4×C8—791no—
1386C4×C8C22×D7911yescharacteristic
1387C24—21no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—41no—
1392#41—41no—
1393#41—3161no—
1394#41—3161no—
1395#41—6322no—
1396#41—6322no—
1397C2×Q8—3161no—
1398C2×Q8—3161no—
1399C2×Q8—3161no—
1400C2×Q8—3161no—
1401C2×Q8—3161no—
1402C2×Q8—3161no—
1403C2×Q8—791no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—791no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8—1581no—
1410C2×Q8—1581no—
1411C2×Q8—1581no—
1412C2×Q8C23×D7911yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
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—6322no—
1429C2×D4—6322no—
1430C2×D4—6322no—
1431C2×D4—1582no—
1432C2×D4—1582no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1582no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4—1581no—
1446C2×D4—1581no—
1447C2×D4—1581no—
1448C2×D4—1581no—
1449C2×D4D4×D7911yescharacteristic
1450C2×D4C23×D7911yescharacteristic
1451C2×D4C23×D7911yescharacteristic
1452C2×D4C23×D7911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—791no—
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
1477SD16—41no—
1478SD16—3161no—
1479SD16—3161no—
1480SD16—3161no—
1481SD16—3161no—
1482SD16—3161no—
1483SD16—3161no—
1484SD16—3161no—
1485SD16—3161no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—1582no—
1490SD16—1582no—
1491SD16—1582no—
1492SD16—1582no—
1493D8—41no—
1494D8—41no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—3161no—
1499D8—1582no—
1500D8—1582no—
1501M16—3161no—
1502M16—3161no—
1503C2×C8—41no—
1504C2×C8—41no—
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—791no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
1527C4⋊C4—791no—
1528C4⋊C4—791no—
1529C4⋊C4—791no—
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⋊C4—1581no—
1544C4⋊C4—1581no—
1545C4⋊C4—1581no—
1546C4⋊C4—1581no—
1547C4⋊C4D4×D7911yescharacteristic
1548C4⋊C4C23×D7911yescharacteristic
1549C4⋊C4C23×D7911yescharacteristic
1550C4⋊C4C23×D7911yescharacteristic
1551C4⋊C4C23×D7911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—791no—
1562C22⋊C4—791no—
1563C22⋊C4—791no—
1564C22⋊C4—791no—
1565C22⋊C4—791no—
1566C22⋊C4—791no—
1567C22⋊C4—791no—
1568C22⋊C4—791no—
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⋊C4—1581no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4D4×D7911yescharacteristic
1599C22⋊C4D4×D7911yescharacteristic
1600C42—21no—
1601C42—791no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—1581no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42—1581no—
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—81no—
1617C23—81no—
1618C23—3162no—
1619C23—3162no—
1620C23—3162no—
1621C23—3162no—
1622C23—791no—
1623C23—6321no—
1624C23—6321no—
1625C23—6321no—
1626C23—6321no—
1627C23—6321no—
1628C23—1581no—
1629C23—1581no—
1630C23—1581no—
1631C23C2×D4×D7911yescharacteristic
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—3161no—
1636Q8—6321no—
1637Q8—6321no—
1638Q8—6321no—
1639Q8—6321no—
1640Q8—6321no—
1641Q8—1581no—
1642Q8—1581no—
1643Q8—1581no—
1644Q8—1581no—
1645Q8—1581no—
1646Q8—1581no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—3162no—
1660D4—3162no—
1661D4—3162no—
1662D4—3161no—
1663D4—3162no—
1664D4—3162no—
1665D4—792no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—6321no—
1671D4—6321no—
1672D4—6321no—
1673D4—6321no—
1674D4—6321no—
1675D4—6321no—
1676D4—1582no—
1677D4—1581no—
1678D4—1581no—
1679D4—1581no—
1680D4—1581no—
1681D4—1581no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—3162no—
1696C2×C4—3162no—
1697C2×C4—3161no—
1698C2×C4—791no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—6321no—
1706C2×C4—6321no—
1707C2×C4—6321no—
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—6321no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1581no—
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—41no—
1750C22—41no—
1751C22—41no—
1752C22—162no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—6324no—
1762C22—1581no—
1763C22—1582no—
1764C22—1581no—
1765C22—1581no—
1766C22—12642no—
1767C22—12642no—
1768C22#1909937012yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—3161no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—1581no—
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—81no—
1798C2—3162no—
1799C2—3161no—
1800C2—6321no—
1801C2—6321no—
1802C2#2377706311yescharacteristic
1803C2C2×#1909937011yescharacteristic
1804C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3297C2
socleC22×C79C23×D4
hypercenter#3297D79
hypocenterC79#62016
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #23777959C2semidirect
2. #23777428C2semidirect
3. #23776423C2semidirect
4. #23776418C2semidirect
5. #23776233C2semidirect
6. #23776230C2semidirect
7. #23775589C2semidirect
8. #23775582C2semidirect
9. #23775569C2semidirect
10. #23775565C2semidirect
11. #23775246C2semidirect
12. D4×#11929613C2semidirect
13. #23775093C2semidirect
14. #23774898C2semidirect
15. #23774892C2semidirect
16. #23774881C2semidirect
17. #23774873C2semidirect
18. #23774815C2semidirect
19. #23774804C2semidirect
20. #23774711C2semidirect
21. #23774464C2semidirect
22. #23774459C2semidirect
23. #23774384C2semidirect
24. #23773580C2semidirect
25. #23773579C2semidirect
26. #23773496C2semidirect
27. #23772915C2semidirect
28. #23772910C2semidirect
29. C2×#19098777C2semidirect
30. #23772533C2semidirect
31. C79×#3297C2semidirect
35. C22×#11929613C22semidirect
36. C2×SD16×D79C22semidirect
40. #19099283C22semidirect
41. #19099282C22semidirect
42. #19099276C22semidirect
43. #19099269C22semidirect
48. #19099234C22semidirect
49. D4×Dic158C22semidirect
50. #19099226C22semidirect
51. #19099220C22semidirect
52. #19099219C22semidirect
54. #19099207C22semidirect
59. #19099197C22semidirect
63. #19099180C22semidirect
64. #19099178C22semidirect
65. #19099169C22semidirect
66. #19099166C22semidirect
70. #19099134C22semidirect
71. #19099133C22semidirect
72. #19099115C22semidirect
75. C2×#14579148C22semidirect
78. #19099037C22semidirect
79. #19099035C22semidirect
81. #19098953C22semidirect
82. #19098951C22semidirect
83. #19098951C22semidirect
84. #19098951C22semidirect
85. #19098936C22semidirect
86. #19098934C22semidirect
87. #19098933C22semidirect
88. #19098930C22semidirect
89. #19098921C22semidirect
90. #19098921C22semidirect
91. #19098916C22semidirect
92. #19098906C22semidirect
93. #19098904C22semidirect
94. #19098898C22semidirect
95. #19098886C22semidirect
96. #19098869C22semidirect
97. #19098867C22semidirect
98. #19098865C22semidirect
99. #19098852C22semidirect
100. #19098851C22semidirect
101. #19098847C22semidirect
102. #19098846C22semidirect
103. #19098842C22semidirect
104. #19098842C22semidirect
105. #19098815C22semidirect
106. #19098814C22semidirect
107. #19098810C22semidirect
108. #19098807C22semidirect
109. #19098798C22semidirect
110. #19098794C22semidirect
111. #19098793C22semidirect
112. #19098792C22semidirect
113. #19098792C22semidirect
114. #19098790C22semidirect
120. #19098777C22semidirect
121. #19098777C22semidirect
122. #19098777C22semidirect
123. #19098777C22semidirect
124. #19098777C22semidirect
125. #19098777C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098776C22semidirect
130. #19098769C22semidirect
131. #19098768C22semidirect
132. #19098767C22semidirect
133. #19098767C22semidirect
134. #19098767C22semidirect
135. #19098767C22semidirect
136. #19098767C22semidirect
137. #19098766C22semidirect
138. #19098764C22semidirect
139. #19098762C22semidirect
140. #19098762C22semidirect
141. #19098761C22semidirect
142. #19098758C22semidirect
143. #19098756C22semidirect
145. #19098716C22semidirect
146. #19098715C22semidirect
148. #19098709C22semidirect
149. #19098709C22semidirect
150. #19098708C22semidirect
151. #19098704C22semidirect
152. #19098704C22semidirect
153. #19098703C22semidirect
154. #19098703C22semidirect
155. #19098701C22semidirect
156. #19098701C22semidirect
157. #19098697C22semidirect
160. #19098693C22semidirect
161. #19098692C22semidirect
164. #19098666C22semidirect
165. #19098666C22semidirect
166. #19098663C22semidirect
167. #19098662C22semidirect
168. #19098662C22semidirect
169. #19098662C22semidirect
170. C4×#11929613C22semidirect
171. #19098650C22semidirect
172. #19098643C22semidirect
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. #19098571C22semidirect
185. #19098570C22semidirect
186. #19098556C22semidirect
187. C2×#14579084C22semidirect
189. #546×C79C22semidirect
190. #488×C79C22semidirect
191. #484×C79C22semidirect
192. #482×C79C22semidirect
193. #478×C79C22semidirect
194. #466×C79C22semidirect
195. #465×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. C4×D8×C79C22semidirect
200. C8×D4×C79C22semidirect
201. #416×C79C22semidirect
202. C2×#102×C79C22semidirect
914. #3297D79semidirect
934. C79#62016semidirect
961. #546C2×D79semidirect
997. #488C2×D79semidirect
1001. #484C2×D79semidirect
1003. #482C2×D79semidirect
1007. #478C2×D79semidirect
1019. #466C2×D79semidirect
1025. #465C2×D79semidirect
1041. #463C2×D79semidirect
1063. #449C2×D79semidirect
1073. #447C2×D79semidirect
1087. C4×D8C2×D79semidirect
1093. C8×D4C2×D79semidirect
1103. #416C2×D79semidirect
1105. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779592
#237774282
#237764232
#237764182
#237762332
#237762302
#237755892
#237755822
#237755692
#237755652
#237752462
D4×#119296132
#237750932
#237748982
#237748922
#237748812
#237748732
#237748152
#237748042
#237747112
#237744642
#237744592
#237743842
#237735802
#237735792
#237734962
#237729152
#237729102
C2×#190987772
#237725332
C79×#32972
#6201679