Finite Group Databasebeta

← #35181777

Subgroups — #35181777

Order 20224.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777914C211yesmaximal, characteristic, complemented
2#23777428C211yesmaximal, characteristic, complemented
3#23776446C211yesmaximal, characteristic, complemented
4#23776443C211yesmaximal, characteristic, complemented
5#23776151C211yesmaximal, characteristic, complemented
6#23776148C211yesmaximal, characteristic, complemented
7#23775557C211yesmaximal, characteristic, complemented
8#23775554C211yesmaximal, characteristic, complemented
9#23775537C211yesmaximal, characteristic, complemented
10#23775300C211yesmaximal, characteristic, complemented
11#23775296C211yesmaximal, characteristic, complemented
12D4×#11929609C211yesmaximal, characteristic, complemented
13#23775070C211yesmaximal, characteristic, complemented
14#23774900C211yesmaximal, characteristic, complemented
15#23774892C211yesmaximal, characteristic, complemented
16#23774887C211yesmaximal, characteristic, complemented
17#23774873C211yesmaximal, characteristic, complemented
18#23774815C211yesmaximal, characteristic, complemented
19#23774812C211yesmaximal, characteristic, complemented
20#23774706C211yesmaximal, characteristic, complemented
21#23774451C211yesmaximal, characteristic, complemented
22#23774446C211yesmaximal, characteristic, complemented
23#23774384C211yesmaximal, characteristic, complemented
24#23773582C211yesmaximal, characteristic, complemented
25#23773579C211yesmaximal, characteristic, complemented
26#23773488C211yesmaximal, characteristic, complemented
27#23772902C211yesmaximal, characteristic, complemented
28#23772898C211yesmaximal, characteristic, complemented
29C2×#19098777C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3318C211yesmaximal, characteristic, complemented
32C2×#14579189C2211yescharacteristic, complemented
33C2×#14579185C2211yescharacteristic, complemented
34C22×#11929613C2211yescharacteristic, complemented
35C22×#11929609C2211yescharacteristic
36C22×#11929609C2211yescharacteristic, complemented
37C2×D8×D79C2211yescharacteristic, complemented
38#19099308—21no—
39#19099306—21no—
40#19099299C2211yescharacteristic, complemented
41#19099296C2211yescharacteristic, complemented
42#19099276C2211yescharacteristic, complemented
43#19099269C2211yescharacteristic, complemented
44#19099264—21no—
45#19099261C2211yescharacteristic, complemented
46#19099234C2211yescharacteristic, complemented
47#19099222C2211yescharacteristic, complemented
48#19099219C2211yescharacteristic, complemented
49#19099210C2211yescharacteristic, complemented
50#19099208—21no—
51#19099207—21no—
52#19099207C2211yescharacteristic, complemented
53#19099205—21no—
54#19099202—21no—
55#19099200—21no—
56D4×D316C2211yescharacteristic, complemented
57#19099197C2211yescharacteristic, complemented
58#19099197C2211yescharacteristic, complemented
59D4×C22⋊D79C2211yescharacteristic, complemented
60#19099180C2211yescharacteristic, complemented
61#19099178C2211yescharacteristic, complemented
62#19099169C2211yescharacteristic, complemented
63#19099166C2211yescharacteristic, complemented
64#19099152—21no—
65#19099149—21no—
66#19099148—21no—
67#19099148—21no—
68#19099145—21no—
69#19099130C2211yescharacteristic, complemented
70#19099126C2211yescharacteristic, complemented
71#19099122—21no—
72#19099108C2211yescharacteristic, complemented
73#19099108C2211yescharacteristic, complemented
74#19099093C2211yescharacteristic
75C2×#14579148C2211yescharacteristic, complemented
76#19099072—21no—
77#121×D79—21no—
78#19099037C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic, complemented
81#19098952C2211yescharacteristic, complemented
82#19098951C2211yescharacteristic, complemented
83#19098951C2211yescharacteristic, complemented
84#19098951C2211yescharacteristic, complemented
85#19098939C2211yescharacteristic, complemented
86#19098938C2211yescharacteristic, complemented
87#19098926C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098920C2211yescharacteristic, complemented
91#19098916C2211yescharacteristic, complemented
92#19098907C2211yescharacteristic, complemented
93#19098904C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098881C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098867C2211yescharacteristic, complemented
98#19098861C2211yescharacteristic, complemented
99#19098852C2211yescharacteristic, complemented
100#19098852C2211yescharacteristic, complemented
101#19098842C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098815C2211yescharacteristic, complemented
106#19098810C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic, complemented
108#19098799C2211yescharacteristic, complemented
109#19098798C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic, complemented
111#19098797C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic, complemented
113#19098793C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098779C2211yescharacteristic, complemented
116#19098778C2211yescharacteristic, complemented
117#19098777C2211yescharacteristic, complemented
118#19098777C2211yescharacteristic, complemented
119#19098777C2211yescharacteristic, complemented
120#19098777C2211yescharacteristic, complemented
121#19098777C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098777C2211yescharacteristic, complemented
124#19098777C2211yescharacteristic, complemented
125#19098777C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098777C2211yescharacteristic, complemented
128#19098777C2211yescharacteristic, complemented
129#19098776C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098764C2211yescharacteristic, complemented
132#19098762C2211yescharacteristic, complemented
133#19098758C2211yescharacteristic, complemented
134#19098757C2211yescharacteristic
135#19098757C2211yescharacteristic, complemented
136#19098757C2211yescharacteristic, complemented
137#19098757C2211yescharacteristic, complemented
138#19098757C2211yescharacteristic, complemented
139#19098757C2211yescharacteristic, complemented
140#19098756C2211yescharacteristic, complemented
141#19098756C2211yescharacteristic, complemented
142#19098756C2211yescharacteristic, complemented
143#19098755C2211yescharacteristic
144#19098716C2211yescharacteristic, complemented
145#19098715C2211yescharacteristic, complemented
146#19098710C2211yescharacteristic, complemented
147#19098709C2211yescharacteristic, complemented
148#19098709C2211yescharacteristic, complemented
149#19098706C2211yescharacteristic, complemented
150#19098704C2211yescharacteristic, complemented
151#19098701C2211yescharacteristic, complemented
152#19098699C2211yescharacteristic, complemented
153#19098698C2211yescharacteristic, complemented
154#19098698C2211yescharacteristic, complemented
155#19098697C2211yescharacteristic, complemented
156#19098697C2211yescharacteristic, complemented
157#19098696C2211yescharacteristic
158#19098696C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic
160#19098691C2211yescharacteristic, complemented
161#19098690C2211yescharacteristic, complemented
162#19098674C2211yescharacteristic, complemented
163#19098674C2211yescharacteristic, complemented
164#19098672C2211yescharacteristic, complemented
165#19098672C2211yescharacteristic, complemented
166#19098672C2211yescharacteristic, complemented
167#19098665C2211yescharacteristic, complemented
168#19098662C2211yescharacteristic, complemented
169#19098650C2211yescharacteristic, complemented
170C4×#11929612C2211yescharacteristic, complemented
171C4×#11929609C2211yescharacteristic, complemented
172#19098643C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176D4×C79⋊C8C2211yescharacteristic, complemented
177(C22⋊D79)⋊C8C2211yescharacteristic, complemented
178#19098625C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098617C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C2×Dic79⋊C8C2211yescharacteristic, complemented
184#19098566C2211yescharacteristic, complemented
185#19098557C2211yescharacteristic, complemented
186#19098556C2211yescharacteristic, complemented
187C2×#14579084C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic, complemented
190#490×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623—21no—
207C2×#11929623C2311yescharacteristic
208C22×Dic158C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C22×C22⋊D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79—21no—
215C2×D4×D79C2311yescharacteristic
216C2×D4×D79C2311yescharacteristic
217C22×C4×D79—21no—
218#14579189—42no—
219#14579185—42no—
220C2×#11929613—42no—
221C2×#11929613C2311yescharacteristic
222C2×#11929613C2311yescharacteristic
223C2×#11929613C2311yescharacteristic
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929612C2311yescharacteristic
228C2×#11929612C2311yescharacteristic
229C2×D632C2311yescharacteristic
230C2×D632C2311yescharacteristic
231C2×D632C2311yescharacteristic
232C2×#11929609—42no—
233C2×#11929609—42no—
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929609C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929609C2311yescharacteristic
244D8×D79—42no—
245C2×#11929607C2311yescharacteristic
246C22×C79⋊C8C2311yescharacteristic
247C22×C79⋊C8C2311yescharacteristic
248C2×C8×D79C2311yescharacteristic
249#14579160C2311yescharacteristic
250#14579160C2311yescharacteristic
251#14579158C2311yescharacteristic
252#14579157C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579157C2311yescharacteristic
256#14579156—21no—
257#14579156D411yescharacteristic
258#14579154—21no—
259#14579154—21no—
260#14579154D411yescharacteristic
261#14579152C2311yescharacteristic
262#14579151D411yescharacteristic
263#14579149—21no—
264#14579149C2311yescharacteristic
265#14579148—21no—
266#14579148—21no—
267#14579148—21no—
268#14579148—21no—
269#14579148C2311yescharacteristic
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579148C2311yescharacteristic
274#14579147—21no—
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147D411yescharacteristic
282#14579146—21no—
283#14579146—21no—
284#14579146—21no—
285#14579145—21no—
286#14579145D411yescharacteristic
287#14579144—21no—
288#14579144—21no—
289#14579143—21no—
290#14579143—21no—
291#14579143—21no—
292#14579142—21no—
293#14579142—21no—
294#14579142—21no—
295#14579142—21no—
296#14579142D411yescharacteristic
297#14579141—21no—
298#14579141C2311yescharacteristic
299#14579140—21no—
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579139—21no—
303#14579139—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138D411yescharacteristic
307#14579136—21no—
308#14579136—21no—
309#14579136—21no—
310#14579136C2311yescharacteristic
311#14579136C2311yescharacteristic
312#14579135—21no—
313#14579135—21no—
314#14579135C2311yescharacteristic
315#14579135C2311yescharacteristic
316#14579135C2311yescharacteristic
317#14579134—21no—
318#14579134—21no—
319#14579134—21no—
320#14579134—21no—
321#14579134—21no—
322#14579133—21no—
323#14579133—21no—
324#14579133—21no—
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579133—21no—
329#14579133—21no—
330#14579133—21no—
331#14579133D411yescharacteristic
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132—21no—
336#14579132C2311yescharacteristic
337#14579131—21no—
338#14579131—21no—
339#14579131—21no—
340#14579131—21no—
341#14579130—21no—
342#14579130—21no—
343#14579130—21no—
344#14579130—21no—
345#14579129—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351C4×Dic158C2311yescharacteristic
352C4×Dic158C2311yescharacteristic
353#14579126C2311yescharacteristic
354C4×D316—21no—
355C4×D316—21no—
356C4×D316C2311yescharacteristic
357D4×Dic79—21no—
358D4×Dic79—21no—
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361D4×Dic79C2311yescharacteristic
362#14579123—21no—
363#14579123—21no—
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366#14579123C2311yescharacteristic
367#14579123C2311yescharacteristic
368#14579123C2311yescharacteristic
369#14579123C2311yescharacteristic
370#14579123C2311yescharacteristic
371#14579123C2311yescharacteristic
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381#14579120C2311yescharacteristic
382#14579119C2311yescharacteristic
383#14579118—21no—
384#14579118C2311yescharacteristic
385C4⋊C4×D79—21no—
386C2×C22⋊Dic79—21no—
387C2×C22⋊Dic79—21no—
388C2×C22⋊Dic79—21no—
389C2×(C2×D79)⋊C4—21no—
390C2×(C2×D79)⋊C4—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×D8×C79C2311yescharacteristic
446C2×D8×C79C2311yescharacteristic
447C2×M16×C79C2311yescharacteristic
448C22×C8×C79C2311yescharacteristic
449#127×C79C2311yescharacteristic
450#126×C79—21no—
451#125×C79C2311yescharacteristic
452#123×C79—21no—
453#121×C79—21no—
454#121×C79—21no—
455#121×C79C2311yescharacteristic
456#121×C79C2311yescharacteristic
457#121×C79C2311yescharacteristic
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460#120×C79—21no—
461C4×D4×C79—21no—
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465#117×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487C23×D79—21no—
488#11929624—41no—
489#11929624—41no—
490#11929624—82no—
491#11929623—41no—
492#11929623—41no—
493#11929623—82no—
494#11929623—82no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158C2×D411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503C2×D316—21no—
504C2×D316—21no—
505C2×D316—22no—
506C2×D316—22no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—21no—
510C2×D316—21no—
511C2×D316—41no—
512C2×D316—41no—
513C2×D316C2411yescharacteristic
514C2×D316C2411yescharacteristic
515C2×D316C2411yescharacteristic
516C2×D316C2411yescharacteristic
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—21no—
524C2×C22⋊D79—21no—
525C2×C22⋊D79—21no—
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—82no—
534C2×C22⋊D79C2×D411yescharacteristic
535C2×C22⋊D79C2×D411yescharacteristic
536D4×D79—22no—
537D4×D79—41no—
538D4×D79—41no—
539D4×D79—41no—
540D4×D79—82no—
541D4×D79—82no—
542D4×D79—82no—
543C22×Dic79—21no—
544C22×Dic79—21no—
545C22×Dic79—21no—
546C22×Dic79—21no—
547C22×Dic79—21no—
548C22×Dic79C2×D411yescharacteristic
549C22×Dic79C2×D411yescharacteristic
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—21no—
556C2×C4×D79—21no—
557C2×C4×D79—21no—
558C2×C4×D79—21no—
559C2×C4×D79—21no—
560C2×C4×D79—82no—
561C2×C4×D79C2411yescharacteristic
562#11929613—22no—
563#11929613—22no—
564#11929613—41no—
565#11929613—41no—
566#11929613—41no—
567#11929613—41no—
568#11929612—41no—
569#11929612—41no—
570D632—22no—
571D632—41no—
572D632—41no—
573#11929609—22no—
574#11929609—22no—
575#11929609—22no—
576#11929609—41no—
577#11929609—41no—
578#11929609—41no—
579#11929609—41no—
580#11929609—41no—
581#11929609—41no—
582#11929609—41no—
583#11929607—41no—
584C2×C79⋊C8—41no—
585C2×C79⋊C8—41no—
586C2×C79⋊C8C2411yescharacteristic
587C2×C79⋊C8C2411yescharacteristic
588C2×C79⋊C8C2411yescharacteristic
589C2×C79⋊C8C2411yescharacteristic
590C8×D79—41no—
591C4⋊Dic79—21no—
592C4⋊Dic79—21no—
593C4⋊Dic79C2×D411yescharacteristic
594C4⋊Dic79C2×D411yescharacteristic
595C4⋊Dic79C2×D411yescharacteristic
596C4⋊Dic79C2411yescharacteristic
597C4⋊Dic79C2411yescharacteristic
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)⋊C4—21no—
644(C2×D79)⋊C4—21no—
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4C2×D411yescharacteristic
648(C2×D79)⋊C4C2×D411yescharacteristic
649(C2×D79)⋊C4C2×D411yescharacteristic
650(C2×D79)⋊C4C2×D411yescharacteristic
651C4×Dic79—21no—
652C4×Dic79—21no—
653C4×Dic79—21no—
654C4×Dic79C2×D411yescharacteristic
655C4×Dic79C2×D411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C4×Dic79C2411yescharacteristic
658C4×Dic79C2411yescharacteristic
659C24×C79—21no—
660C24×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—21no—
665C2×D4×C79—21no—
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79—21no—
669C2×D4×C79—41no—
670C2×D4×C79—41no—
671C2×D4×C79—41no—
672C2×D4×C79—41no—
673C2×D4×C79—82no—
674C2×D4×C79C2×D411yescharacteristic
675C2×D4×C79C2411yescharacteristic
676C2×D4×C79C2411yescharacteristic
677C2×D4×C79C2411yescharacteristic
678C2×D4×C79C2411yescharacteristic
679C22×C4×C79—21no—
680C22×C4×C79—21no—
681C22×C4×C79—21no—
682C22×C4×C79C2411yescharacteristic
683C22×C4×C79C2411yescharacteristic
684D8×C79—41no—
685D8×C79—41no—
686D8×C79—41no—
687M16×C79—41no—
688C2×C8×C79—41no—
689C2×C8×C79C2411yescharacteristic
690C2×C8×C79C2411yescharacteristic
691C2×C8×C79C2411yescharacteristic
692C2×C8×C79C2411yescharacteristic
693C4⋊C4×C79—21no—
694C4⋊C4×C79—21no—
695C4⋊C4×C79—21no—
696C4⋊C4×C79C2×D411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C4⋊C4×C79C2411yescharacteristic
699C4⋊C4×C79C2411yescharacteristic
700C4⋊C4×C79C2411yescharacteristic
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79—21no—
706C22⋊C4×C79—21no—
707C22⋊C4×C79—21no—
708C22⋊C4×C79C2×D411yescharacteristic
709C22⋊C4×C79C2×D411yescharacteristic
710C42×C79—21no—
711C42×C79C2411yescharacteristic
712C23×C79—21no—
713C23×C79—21no—
714C23×C79—21no—
715C23×C79—21no—
716C23×C79—42no—
717C23×C79—81no—
718C23×C79—81no—
719C23×C79—81no—
720C23×C79—81no—
721C23×C79—81no—
722C23×C79C22×D411yescharacteristic
723C23×C79C22×D411yescharacteristic
724C22×D79—21no—
725C22×D79—21no—
726C22×D79—21no—
727C22×D79—21no—
728C22×D79—42no—
729C22×D79—42no—
730C22×D79—42no—
731C22×D79—42no—
732C22×D79—81no—
733C22×D79—81no—
734C22×D79—81no—
735C22×D79—81no—
736C22×D79—81no—
737C22×D79—81no—
738C22×D79—81no—
739C22×D79—81no—
740C22×D79C22×D411yescharacteristic
741D4×C79—22no—
742D4×C79—21no—
743D4×C79—21no—
744D4×C79—21no—
745D4×C79—21no—
746D4×C79—21no—
747D4×C79—21no—
748D4×C79—21no—
749D4×C79—21no—
750D4×C79—42no—
751D4×C79—42no—
752D4×C79—81no—
753D4×C79—81no—
754D4×C79—81no—
755D4×C79—81no—
756D4×C79—81no—
757D4×C79—81no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—81no—
767C2×C4×C79—81no—
768C2×C4×C79—81no—
769C2×C4×C79C22×D411yescharacteristic
770C2×C4×C79C22×D411yescharacteristic
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C2511yescharacteristic
774C22⋊D79—22no—
775C22⋊D79—41no—
776C22⋊D79—42no—
777C22⋊D79—42no—
778C22⋊D79—42no—
779C22⋊D79—42no—
780C22⋊D79—81no—
781C22⋊D79—81no—
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C22⋊D79—81no—
790C22⋊D79—81no—
791C22⋊D79—81no—
792C2×Dic79—22no—
793C2×Dic79—21no—
794C2×Dic79—21no—
795C2×Dic79—21no—
796C2×Dic79—21no—
797C2×Dic79—41no—
798C2×Dic79—81no—
799C2×Dic79—81no—
800C2×Dic79—81no—
801C2×Dic79—81no—
802C2×Dic79—81no—
803C2×Dic79C22×D411yescharacteristic
804C2×Dic79C22×D411yescharacteristic
805C2×Dic79C22×D411yescharacteristic
806C2×Dic79C22×D411yescharacteristic
807C2×Dic79C22×D411yescharacteristic
808C2×Dic79C22×D411yescharacteristic
809C2×Dic79C22×D411yescharacteristic
810D316—21no—
811D316—21no—
812D316—21no—
813D316—21no—
814D316—21no—
815D316—21no—
816D316—21no—
817D316—42no—
818D316—42no—
819D316—81no—
820D316—81no—
821D316—81no—
822D316—81no—
823D316H(5,𝔽2)12yes—
824C4×D79—21no—
825C4×D79—21no—
826C4×D79—42no—
827C4×D79—42no—
828C4×D79—81no—
829C4×D79—81no—
830C4×D79—81no—
831C4×D79—81no—
832C4×D79—81no—
833C4×D79—81no—
834C4×D79—81no—
835C4×D79—81no—
836Dic158—21no—
837Dic158—21no—
838Dic158—21no—
839Dic158—21no—
840Dic158—41no—
841Dic158—81no—
842Dic158—81no—
843Dic158—81no—
844C8×C79—21no—
845C8×C79—21no—
846C8×C79—21no—
847C8×C79—21no—
848C79⋊C8—21no—
849C79⋊C8—21no—
850C79⋊C8—21no—
851C79⋊C8—21no—
852C22×C79—21no—
853C22×C79—21no—
854C22×C79—21no—
855C22×C79—21no—
856C22×C79—21no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—162no—
870C22×C79—162no—
871C22×C79#57612yes—
872C22×C79C23×D411yescharacteristic
873C2×D79—21no—
874C2×D79—22no—
875C2×D79—21no—
876C2×D79—21no—
877C2×D79—41no—
878C2×D79—41no—
879C2×D79—41no—
880C2×D79—41no—
881C2×D79—41no—
882C2×D79—41no—
883C2×D79—41no—
884C2×D79—41no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—84no—
889C2×D79—162no—
890C2×D79—162no—
891C2×D79—162no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—21no—
895C4×C79—21no—
896C4×C79—41no—
897C4×C79—41no—
898C4×C79—41no—
899C4×C79—41no—
900C4×C79C2×H(5,𝔽2)11yescharacteristic
901C4×C79#58511yescharacteristic
902Dic79—21no—
903Dic79—21no—
904Dic79—21no—
905Dic79—21no—
906Dic79—21no—
907Dic79—21no—
908Dic79—21no—
909Dic79—41no—
910Dic79—41no—
911Dic79—41no—
912Dic79—41no—
913#62015—791nomaximal, Sylow
914C2×C79—22no—
915C2×C79—41no—
916C2×C79—81no—
917C2×C79—81no—
918C2×C79—81no—
919C2×C79—81no—
920C2×C79#348811yescharacteristic
921C2×C79C2×#57611yescharacteristic
922C2×C79#358511yescharacteristic
923D79—41no—
924D79—42no—
925D79—81no—
926D79—81no—
927D79—81no—
928#3558—791no—
929#3519—791no—
930#3399—791no—
931#3399—791no—
932#3370—791no—
933#3370—791no—
934#3319—791no—
935#3319—791no—
936#3318—791no—
937#3318D7911yescharacteristic, complemented
938#3301—791no—
939#3301—791no—
940D4×D8—791no—
941D4×D8—791no—
942#3265—791no—
943#3265—791no—
944#3264—791no—
945#3264—791no—
946#3257—791no—
947#3257—791no—
948#3245—791no—
949#3220—791no—
950#3220—791no—
951#3213—791no—
952#3118—791no—
953#3118—791no—
954#3109—791no—
955#3041—791no—
956#3041—791no—
957C2×#463—791no—
958#2992—791no—
959C79#6201511yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—791no—
961C2×AGL(1,ℤ/8)—791no—
962C22×SD16—791no—
963C22×D8—791no—
964C22×D8—791no—
965C22×D8—791no—
966#562—1581no—
967H(3,𝔽4)—1581no—
968#559—791no—
969#559—791no—
970#555—791no—
971#554—791no—
972#553—791no—
973#553—1581no—
974#553C2×D7911yescharacteristic, complemented
975#550—791no—
976#548—791no—
977#548—791no—
978#546—791no—
979#546—791no—
980#546—1581no—
981#546—1581no—
982#546—1581no—
983#546—1581no—
984#546—1581no—
985D42—791no—
986D42—791no—
987D42—791no—
988D42—791no—
989D42C2×D7911yescharacteristic, complemented
990#542—791no—
991#542—791no—
992#540—791no—
993#540—791no—
994#538—1581no—
995#538—1581no—
996#538—1581no—
997#538—1581no—
998#538—1581no—
999#535—791no—
1000#535—791no—
1001#534—1581no—
1002#532—791no—
1003#532—791no—
1004#529—791no—
1005C2×#124—791no—
1006#525—1581no—
1007C2×#121—1581no—
1008#518—791no—
1009#518—791no—
1010C2×C4×D4—791no—
1011#496—791no—
1012#496—791no—
1013#496—791no—
1014#496—791no—
1015#493—791no—
1016#493—791no—
1017#490—791no—
1018#490C2×D7911yescharacteristic, complemented
1019#489—791no—
1020#489—791no—
1021#488—791no—
1022#488—791no—
1023#485—791no—
1024#485—791no—
1025#482—791no—
1026#482C2×D7911yescharacteristic, complemented
1027#481—791no—
1028#481C2×D7911yescharacteristic, complemented
1029#479—791no—
1030#479—791no—
1031#478—791no—
1032#478C2×D7911yescharacteristic, complemented
1033#476—791no—
1034#476—791no—
1035#474—791no—
1036#474—791no—
1037#474—791no—
1038#474—791no—
1039#469—791no—
1040#469C2×D7911yescharacteristic, complemented
1041#468—791no—
1042#468—791no—
1043#466—791no—
1044#466—791no—
1045#466—791no—
1046#466—791no—
1047#466—791no—
1048#466C2×D7911yescharacteristic, complemented
1049#465—791no—
1050#465—791no—
1051#463—791no—
1052#463—791no—
1053#463—791no—
1054#463—791no—
1055#463—791no—
1056#463—791no—
1057#463—791no—
1058#463—791no—
1059#463—791no—
1060#463—791no—
1061#463—791no—
1062#463—791no—
1063#463—791no—
1064#463—791no—
1065#463—791no—
1066#463—791no—
1067#460—791no—
1068#460—791no—
1069#459—791no—
1070#459—791no—
1071#459—791no—
1072#459—791no—
1073#459—791no—
1074#459—791no—
1075#459—791no—
1076#459—791no—
1077#459—791no—
1078#459—791no—
1079#459—791no—
1080#459C2×D7911yescharacteristic, complemented
1081#450—791no—
1082#450—791no—
1083#449—791no—
1084#449—791no—
1085#449—791no—
1086#449—791no—
1087#448—791no—
1088#448—791no—
1089#447—791no—
1090#447—791no—
1091#447—791no—
1092#447—791no—
1093#447—791no—
1094#447—791no—
1095#447—791no—
1096#447—791no—
1097#447C2×D7911yescharacteristic, complemented
1098#447C2×D7911yescharacteristic, complemented
1099#446—791no—
1100#446—791no—
1101#442—791no—
1102#442—791no—
1103#442—791no—
1104#442—791no—
1105#442—791no—
1106#442C2×D7911yescharacteristic, complemented
1107#440—791no—
1108#440—791no—
1109C4×SD16—791no—
1110C4×SD16—791no—
1111C4×D8—791no—
1112C4×D8—791no—
1113#435—791no—
1114#435—791no—
1115#435—791no—
1116#435C2×D7911yescharacteristic, complemented
1117C8×D4—791no—
1118C8×D4—791no—
1119#433—791no—
1120#433—791no—
1121#432—791no—
1122#424—791no—
1123#424—791no—
1124C2×C4⋊C8—791no—
1125#418—791no—
1126#418C2×D7911yescharacteristic, complemented
1127#416—791no—
1128#416—791no—
1129C2×#103—791no—
1130C2×#102C2×D7911yescharacteristic, complemented
1131C2×#41—791no—
1132C2×#41—791no—
1133C2×#41—1581no—
1134C2×#41—1581no—
1135C2×#41—1581no—
1136C22×Q8—791no—
1137C22×D4—21no—
1138C22×D4—791no—
1139C22×D4—791no—
1140C22×D4—791no—
1141C22×D4—791no—
1142C22×D4—1581no—
1143C22×D4—1581no—
1144C22×D4—1581no—
1145C22×D4—1581no—
1146C22×D4C22×D7911yescharacteristic
1147C22×D4C22×D7911yescharacteristic
1148C23×C4—1581no—
1149AGL(1,ℤ/8)—3162no—
1150AGL(1,ℤ/8)—3162no—
1151C2×SD16—3162no—
1152C2×SD16—791no—
1153C2×SD16—791no—
1154C2×SD16—791no—
1155C2×SD16—791no—
1156C2×SD16—791no—
1157C2×SD16—791no—
1158C2×SD16—791no—
1159C2×SD16—791no—
1160C2×D8—3162no—
1161C2×D8—3162no—
1162C2×D8—3162no—
1163C2×D8—791no—
1164C2×D8—791no—
1165C2×D8—791no—
1166C2×D8—791no—
1167C2×D8—791no—
1168C2×D8—791no—
1169C2×D8—791no—
1170C2×D8—791no—
1171C2×D8—791no—
1172C2×D8—791no—
1173C2×D8—791no—
1174C2×D8—791no—
1175C2×D8—791no—
1176C2×D8C22×D7911yescharacteristic
1177C2×D8C22×D7911yescharacteristic
1178C2×D8C22×D7911yescharacteristic
1179C2×M16—791no—
1180C2×M16C22×D7911yescharacteristic
1181C22×C8—791no—
1182C22×C8—791no—
1183C22×C8—791no—
1184C22×C8C22×D7911yescharacteristic
1185C4⋊Q8—791no—
1186C4⋊Q8—791no—
1187#127—791no—
1188#127—791no—
1189#127—791no—
1190#127—791no—
1191#127—791no—
1192#127C22×D7911yescharacteristic
1193#126—21no—
1194#126—791no—
1195#126—791no—
1196#126—1581no—
1197#126—1581no—
1198#126—1581no—
1199#125—791no—
1200#125—791no—
1201#125C22×D7911yescharacteristic
1202#124—791no—
1203#124—791no—
1204#124—791no—
1205#124—791no—
1206#124—791no—
1207#124—791no—
1208#124—791no—
1209#124—1581no—
1210#124—1581no—
1211#124—1581no—
1212#124—1581no—
1213#124—1581no—
1214#124—1581no—
1215#124—1581no—
1216#124—1581no—
1217#124—1581no—
1218#124—1581no—
1219#124—1581no—
1220#124—1581no—
1221#123—21no—
1222#123—791no—
1223#123—791no—
1224#123—1581no—
1225#123—1581no—
1226#123—1581no—
1227#123—1581no—
1228#123—1581no—
1229#123—1581no—
1230#123—1581no—
1231#123—1581no—
1232#123—1581no—
1233#123—1581no—
1234#123—1581no—
1235#123—1581no—
1236#123—1581no—
1237C22⋊Q8—791no—
1238C22⋊Q8—791no—
1239C22⋊Q8—791no—
1240C22⋊Q8—1581no—
1241C22⋊Q8—1581no—
1242C22⋊Q8—1581no—
1243C22⋊Q8—1581no—
1244C22⋊Q8—1581no—
1245C22⋊Q8—1581no—
1246C22⋊Q8—1581no—
1247#121—21no—
1248#121—21no—
1249#121—791no—
1250#121—791no—
1251#121—791no—
1252#121—791no—
1253#121—791no—
1254#121—791no—
1255#121—791no—
1256#121—1581no—
1257#121—1581no—
1258#121—1581no—
1259#121—1581no—
1260#121—1581no—
1261#121—1581no—
1262#121—1581no—
1263#121—1581no—
1264#121—1581no—
1265#121—1581no—
1266#121—1581no—
1267#121—1581no—
1268#121—1581no—
1269#121—1581no—
1270#121—1581no—
1271#121—1581no—
1272#121—1581no—
1273#121—1581no—
1274#121—1581no—
1275#121—1581no—
1276#121—1581no—
1277#121—1581no—
1278#121—1581no—
1279#121C22×D7911yescharacteristic
1280#121C22×D7911yescharacteristic
1281#121C22×D7911yescharacteristic
1282#121C22×D7911yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—1581no—
1286#120—1581no—
1287#120—1581no—
1288#120—1581no—
1289#120—1581no—
1290#120—1581no—
1291#120—1581no—
1292#120—1581no—
1293#120—1581no—
1294#120—1581no—
1295#120—1581no—
1296#120—1581no—
1297#120—1581no—
1298#120—1581no—
1299C4×Q8—791no—
1300C4×Q8—791no—
1301C4×Q8—791no—
1302C4×D4—21no—
1303C4×D4—791no—
1304C4×D4—791no—
1305C4×D4—791no—
1306C4×D4—791no—
1307C4×D4—791no—
1308C4×D4—791no—
1309C4×D4—791no—
1310C4×D4—791no—
1311C4×D4—791no—
1312C4×D4—791no—
1313C4×D4—791no—
1314C4×D4—791no—
1315C4×D4—791no—
1316C4×D4—791no—
1317C4×D4—1581no—
1318C4×D4—1581no—
1319C4×D4—1581no—
1320C4×D4—1581no—
1321C4×D4—1581no—
1322C4×D4—1581no—
1323C4×D4—1581no—
1324C4×D4—1581no—
1325C4×D4—1581no—
1326C4×D4—1581no—
1327C4×D4—1581no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4C22×D7911yescharacteristic
1331C4×D4C22×D7911yescharacteristic
1332C4×D4C22×D7911yescharacteristic
1333#117—791no—
1334#117—791no—
1335#117—791no—
1336#117—1581no—
1337#117C22×D7911yescharacteristic
1338C2×C4⋊C4—1581no—
1339C2×C4⋊C4C22×D7911yescharacteristic
1340C2×C22⋊C4—1581no—
1341C2×C22⋊C4—1581no—
1342C2×C22⋊C4—1581no—
1343C2×C22⋊C4—1581no—
1344C2×C22⋊C4—1581no—
1345C2×C22⋊C4—1581no—
1346C2×C22⋊C4—1581no—
1347C2×C22⋊C4—1581no—
1348C2×C22⋊C4—1581no—
1349C2×C42—791no—
1350#107—791no—
1351#107—791no—
1352#107—791no—
1353#107C22×D7911yescharacteristic
1354#106—791no—
1355#106—791no—
1356#106C22×D7911yescharacteristic
1357#106C22×D7911yescharacteristic
1358C4⋊C8—791no—
1359C4⋊C8—791no—
1360C4⋊C8—791no—
1361C4⋊C8—791no—
1362C4⋊C8—791no—
1363C4⋊C8—791no—
1364C4⋊C8—791no—
1365C4⋊C8—791no—
1366C4⋊C8—791no—
1367C4⋊C8C22×D7911yescharacteristic
1368#103—791no—
1369#103—791no—
1370#103—791no—
1371#103—791no—
1372#103—791no—
1373#103—791no—
1374#103—791no—
1375#103—791no—
1376#102—791no—
1377#102—791no—
1378#102—791no—
1379#102—791no—
1380#102—791no—
1381#102—791no—
1382#102—791no—
1383#102—791no—
1384#102—791no—
1385#102—791no—
1386#102—791no—
1387#102—791no—
1388#102—791no—
1389#102—791no—
1390#102C22×D7911yescharacteristic
1391#102C22×D7911yescharacteristic
1392#102C22×D7911yescharacteristic
1393#102C22×D7911yescharacteristic
1394#102C22×D7911yescharacteristic
1395#102C22×D7911yescharacteristic
1396#102C22×D7911yescharacteristic
1397#102C22×D7911yescharacteristic
1398#102C22×D7911yescharacteristic
1399#102C22×D7911yescharacteristic
1400C22⋊C8—791no—
1401C22⋊C8—791no—
1402C22⋊C8—791no—
1403C22⋊C8—791no—
1404C22⋊C8C22×D7911yescharacteristic
1405C22⋊C8C22×D7911yescharacteristic
1406#97—791no—
1407#97—791no—
1408#97—791no—
1409#97C22×D7911yescharacteristic
1410C4×C8—791no—
1411C4×C8—791no—
1412C24—21no—
1413C24—21no—
1414C24—1581no—
1415C24—1581no—
1416C24—1581no—
1417C24—1581no—
1418#41—3161no—
1419#41—3161no—
1420#41—3161no—
1421#41—3161no—
1422#41—6322no—
1423#41—6322no—
1424#41—6322no—
1425C2×Q8—3161no—
1426C2×Q8—3161no—
1427C2×Q8—791no—
1428C2×Q8—791no—
1429C2×Q8—791no—
1430C2×Q8—1581no—
1431C2×Q8—1581no—
1432C2×Q8—1581no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—82no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—791no—
1452C2×D4—791no—
1453C2×D4—791no—
1454C2×D4—791no—
1455C2×D4—791no—
1456C2×D4—791no—
1457C2×D4—6322no—
1458C2×D4—6322no—
1459C2×D4—6322no—
1460C2×D4—6322no—
1461C2×D4—1582no—
1462C2×D4—1582no—
1463C2×D4—1581no—
1464C2×D4—1581no—
1465C2×D4—1581no—
1466C2×D4—1581no—
1467C2×D4—1581no—
1468C2×D4—1581no—
1469C2×D4—1581no—
1470C2×D4—1581no—
1471C2×D4—1581no—
1472C2×D4—1581no—
1473C2×D4—1581no—
1474C2×D4—1581no—
1475C2×D4—1582no—
1476C2×D4—1581no—
1477C2×D4—1581no—
1478C2×D4—1581no—
1479C2×D4—1581no—
1480C2×D4—1581no—
1481C2×D4—1581no—
1482C2×D4—1581no—
1483C2×D4—1581no—
1484C2×D4—1581no—
1485C2×D4—1581no—
1486C2×D4D4×D7911yescharacteristic
1487C2×D4C23×D7911yescharacteristic
1488C2×D4C23×D7911yescharacteristic
1489C2×D4C23×D7911yescharacteristic
1490C2×D4C23×D7911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—6322no—
1498C22×C4—1581no—
1499C22×C4—1581no—
1500C22×C4—1581no—
1501C22×C4—1581no—
1502C22×C4—1581no—
1503C22×C4—1581no—
1504C22×C4—1581no—
1505C22×C4—1581no—
1506C22×C4—1581no—
1507C22×C4—1581no—
1508C22×C4—1581no—
1509C22×C4—1581no—
1510C22×C4—1581no—
1511C22×C4—1581no—
1512C22×C4—1581no—
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515SD16—3161no—
1516SD16—3161no—
1517SD16—3161no—
1518SD16—3161no—
1519SD16—3161no—
1520SD16—3161no—
1521SD16—1582no—
1522SD16—1582no—
1523D8—41no—
1524D8—41no—
1525D8—41no—
1526D8—3161no—
1527D8—3161no—
1528D8—3161no—
1529D8—3161no—
1530D8—3161no—
1531D8—3161no—
1532D8—3161no—
1533D8—3161no—
1534D8—3161no—
1535D8—1582no—
1536D8—1582no—
1537D8—1582no—
1538D8—1582no—
1539M16—41no—
1540M16—3161no—
1541C2×C8—41no—
1542C2×C8—3161no—
1543C2×C8—3161no—
1544C2×C8—3161no—
1545C2×C8—791no—
1546C2×C8—791no—
1547C2×C8—791no—
1548C2×C8—791no—
1549C2×C8C23×D7911yescharacteristic
1550C2×C8C23×D7911yescharacteristic
1551C2×C8C23×D7911yescharacteristic
1552C2×C8C23×D7911yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—791no—
1557C4⋊C4—791no—
1558C4⋊C4—791no—
1559C4⋊C4—791no—
1560C4⋊C4—791no—
1561C4⋊C4—791no—
1562C4⋊C4—791no—
1563C4⋊C4—791no—
1564C4⋊C4—791no—
1565C4⋊C4—791no—
1566C4⋊C4—791no—
1567C4⋊C4—1581no—
1568C4⋊C4—1581no—
1569C4⋊C4—1581no—
1570C4⋊C4—1581no—
1571C4⋊C4—1581no—
1572C4⋊C4—1581no—
1573C4⋊C4—1581no—
1574C4⋊C4—1581no—
1575C4⋊C4D4×D7911yescharacteristic
1576C4⋊C4C23×D7911yescharacteristic
1577C4⋊C4C23×D7911yescharacteristic
1578C4⋊C4C23×D7911yescharacteristic
1579C4⋊C4C23×D7911yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—791no—
1588C22⋊C4—791no—
1589C22⋊C4—791no—
1590C22⋊C4—791no—
1591C22⋊C4—791no—
1592C22⋊C4—791no—
1593C22⋊C4—791no—
1594C22⋊C4—791no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4—1581no—
1599C22⋊C4—1581no—
1600C22⋊C4—1581no—
1601C22⋊C4—1581no—
1602C22⋊C4—1581no—
1603C22⋊C4—1581no—
1604C22⋊C4—1581no—
1605C22⋊C4—1581no—
1606C22⋊C4—1581no—
1607C22⋊C4—1581no—
1608C22⋊C4—1581no—
1609C22⋊C4—1581no—
1610C22⋊C4—1581no—
1611C22⋊C4—1581no—
1612C22⋊C4—1581no—
1613C22⋊C4—1581no—
1614C22⋊C4—1581no—
1615C22⋊C4—1581no—
1616C22⋊C4—1581no—
1617C22⋊C4—1581no—
1618C22⋊C4—1581no—
1619C22⋊C4—1581no—
1620C22⋊C4—1581no—
1621C22⋊C4—1581no—
1622C22⋊C4—1581no—
1623C22⋊C4—1581no—
1624C22⋊C4—1581no—
1625C22⋊C4—1581no—
1626C22⋊C4—1581no—
1627C22⋊C4—1581no—
1628C22⋊C4D4×D7911yescharacteristic
1629C22⋊C4D4×D7911yescharacteristic
1630C42—21no—
1631C42—791no—
1632C42—791no—
1633C42—791no—
1634C42—791no—
1635C42—791no—
1636C42—1581no—
1637C42—1581no—
1638C42—1581no—
1639C42C23×D7911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—3162no—
1651C23—3162no—
1652C23—3162no—
1653C23—3162no—
1654C23—791no—
1655C23—6321no—
1656C23—6321no—
1657C23—6321no—
1658C23—6321no—
1659C23—6321no—
1660C23—6321no—
1661C23—6321no—
1662C23—6321no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23—1581no—
1667C23C2×D4×D7911yescharacteristic
1668C23C2×D4×D7911yescharacteristic
1669Q8—3161no—
1670Q8—6321no—
1671Q8—6321no—
1672Q8—6321no—
1673Q8—1581no—
1674Q8—1581no—
1675Q8—1581no—
1676Q8—1581no—
1677D4—22no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—3162no—
1695D4—3162no—
1696D4—3162no—
1697D4—3162no—
1698D4—3161no—
1699D4—3162no—
1700D4—3162no—
1701D4—792no—
1702D4—6321no—
1703D4—6321no—
1704D4—6321no—
1705D4—6321no—
1706D4—6321no—
1707D4—6321no—
1708D4—6321no—
1709D4—6321no—
1710D4—6321no—
1711D4—6321no—
1712D4—6321no—
1713D4—6321no—
1714D4—6321no—
1715D4—6321no—
1716D4—6321no—
1717D4—6321no—
1718D4—1582no—
1719D4—1581no—
1720D4—1581no—
1721D4—1581no—
1722D4—1581no—
1723D4—1581no—
1724D4—1581no—
1725D4—1581no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—3162no—
1738C2×C4—3162no—
1739C2×C4—3161no—
1740C2×C4—791no—
1741C2×C4—791no—
1742C2×C4—791no—
1743C2×C4—791no—
1744C2×C4—791no—
1745C2×C4—791no—
1746C2×C4—791no—
1747C2×C4—6321no—
1748C2×C4—6321no—
1749C2×C4—6321no—
1750C2×C4—6321no—
1751C2×C4—6321no—
1752C2×C4—6321no—
1753C2×C4—6321no—
1754C2×C4—6321no—
1755C2×C4—6321no—
1756C2×C4—6321no—
1757C2×C4—6321no—
1758C2×C4—6321no—
1759C2×C4—6321no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1582no—
1765C2×C4—1581no—
1766C2×C4—1581no—
1767C2×C4C2×D4×D7911yescharacteristic
1768C2×C4C2×D4×D7911yescharacteristic
1769C2×C4C2×D4×D7911yescharacteristic
1770C2×C4C2×D4×D7911yescharacteristic
1771C2×C4C24×D7911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1581no—
1777C8—1581no—
1778C8—1581no—
1779C8—1581no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—162no—
1798C22—162no—
1799C22—3161no—
1800C22—3161no—
1801C22—3161no—
1802C22—3161no—
1803C22—3161no—
1804C22—3161no—
1805C22—3161no—
1806C22—3161no—
1807C22—3161no—
1808C22—3161no—
1809C22—3161no—
1810C22—6324no—
1811C22—1581no—
1812C22—1582no—
1813C22—1581no—
1814C22—1581no—
1815C22—12642no—
1816C22—12642no—
1817C22—12642no—
1818C22#1909936712yes—
1819C22C22×D4×D7911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—3161no—
1829C4—3161no—
1830C4—3161no—
1831C4—3161no—
1832C4—1581no—
1833C4—1581no—
1834C4—1581no—
1835C4—1581no—
1836C4—1581no—
1837C4—1581no—
1838C4—1581no—
1839C4H(5,𝔽2)×D7911yescharacteristic
1840C4#1909939911yescharacteristic
1841C2—22no—
1842C2—41no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—3162no—
1848C2—3161no—
1849C2—6321no—
1850C2—6321no—
1851C2—6321no—
1852C2#2377706311yescharacteristic
1853C2C2×#1909936711yescharacteristic
1854C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3318C2
socleC22×C79C23×D4
hypercenter#3318D79
hypocenterC79#62015
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #23777914C2semidirect
2. #23777428C2semidirect
3. #23776446C2semidirect
4. #23776443C2semidirect
5. #23776151C2semidirect
6. #23776148C2semidirect
7. #23775557C2semidirect
8. #23775554C2semidirect
9. #23775537C2semidirect
10. #23775300C2semidirect
11. #23775296C2semidirect
12. D4×#11929609C2semidirect
13. #23775070C2semidirect
14. #23774900C2semidirect
15. #23774892C2semidirect
16. #23774887C2semidirect
17. #23774873C2semidirect
18. #23774815C2semidirect
19. #23774812C2semidirect
20. #23774706C2semidirect
21. #23774451C2semidirect
22. #23774446C2semidirect
23. #23774384C2semidirect
24. #23773582C2semidirect
25. #23773579C2semidirect
26. #23773488C2semidirect
27. #23772902C2semidirect
28. #23772898C2semidirect
29. C2×#19098777C2semidirect
30. #23772540C2semidirect
31. C79×#3318C2semidirect
32. C2×#14579189C22semidirect
33. C2×#14579185C22semidirect
34. C22×#11929613C22semidirect
36. C22×#11929609C22semidirect
37. C2×D8×D79C22semidirect
40. #19099299C22semidirect
41. #19099296C22semidirect
42. #19099276C22semidirect
43. #19099269C22semidirect
45. #19099261C22semidirect
46. #19099234C22semidirect
47. #19099222C22semidirect
48. #19099219C22semidirect
49. #19099210C22semidirect
52. #19099207C22semidirect
56. D4×D316C22semidirect
57. #19099197C22semidirect
58. #19099197C22semidirect
59. D4×C22⋊D79C22semidirect
60. #19099180C22semidirect
61. #19099178C22semidirect
62. #19099169C22semidirect
63. #19099166C22semidirect
69. #19099130C22semidirect
70. #19099126C22semidirect
72. #19099108C22semidirect
73. #19099108C22semidirect
75. C2×#14579148C22semidirect
78. #19099037C22semidirect
79. #19099035C22semidirect
80. C2×#14579123C22semidirect
81. #19098952C22semidirect
82. #19098951C22semidirect
83. #19098951C22semidirect
84. #19098951C22semidirect
85. #19098939C22semidirect
86. #19098938C22semidirect
87. #19098926C22semidirect
88. #19098921C22semidirect
89. #19098921C22semidirect
90. #19098920C22semidirect
91. #19098916C22semidirect
92. #19098907C22semidirect
93. #19098904C22semidirect
94. #19098885C22semidirect
95. #19098881C22semidirect
96. #19098873C22semidirect
97. #19098867C22semidirect
98. #19098861C22semidirect
99. #19098852C22semidirect
100. #19098852C22semidirect
101. #19098842C22semidirect
102. #19098842C22semidirect
103. #19098841C22semidirect
104. #19098841C22semidirect
105. #19098815C22semidirect
106. #19098810C22semidirect
107. #19098809C22semidirect
108. #19098799C22semidirect
109. #19098798C22semidirect
110. #19098797C22semidirect
111. #19098797C22semidirect
112. #19098797C22semidirect
113. #19098793C22semidirect
114. #19098790C22semidirect
115. #19098779C22semidirect
116. #19098778C22semidirect
117. #19098777C22semidirect
118. #19098777C22semidirect
119. #19098777C22semidirect
120. #19098777C22semidirect
121. #19098777C22semidirect
122. #19098777C22semidirect
123. #19098777C22semidirect
124. #19098777C22semidirect
125. #19098777C22semidirect
126. #19098777C22semidirect
127. #19098777C22semidirect
128. #19098777C22semidirect
129. #19098776C22semidirect
130. #19098776C22semidirect
131. #19098764C22semidirect
132. #19098762C22semidirect
133. #19098758C22semidirect
135. #19098757C22semidirect
136. #19098757C22semidirect
137. #19098757C22semidirect
138. #19098757C22semidirect
139. #19098757C22semidirect
140. #19098756C22semidirect
141. #19098756C22semidirect
142. #19098756C22semidirect
144. #19098716C22semidirect
145. #19098715C22semidirect
146. #19098710C22semidirect
147. #19098709C22semidirect
148. #19098709C22semidirect
149. #19098706C22semidirect
150. #19098704C22semidirect
151. #19098701C22semidirect
152. #19098699C22semidirect
153. #19098698C22semidirect
154. #19098698C22semidirect
155. #19098697C22semidirect
156. #19098697C22semidirect
158. #19098696C22semidirect
160. #19098691C22semidirect
161. #19098690C22semidirect
162. #19098674C22semidirect
163. #19098674C22semidirect
164. #19098672C22semidirect
165. #19098672C22semidirect
166. #19098672C22semidirect
167. #19098665C22semidirect
168. #19098662C22semidirect
169. #19098650C22semidirect
170. C4×#11929612C22semidirect
171. C4×#11929609C22semidirect
172. #19098643C22semidirect
173. #19098634C22semidirect
174. #19098632C22semidirect
175. #19098631C22semidirect
176. D4×C79⋊C8C22semidirect
177. (C22⋊D79)⋊C8C22semidirect
178. #19098625C22semidirect
179. #19098621C22semidirect
180. #19098617C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
183. C2×Dic79⋊C8C22semidirect
184. #19098566C22semidirect
185. #19098557C22semidirect
186. #19098556C22semidirect
187. C2×#14579084C22semidirect
188. #553×C79C22semidirect
189. D42×C79C22semidirect
190. #490×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #478×C79C22semidirect
194. #469×C79C22semidirect
195. #466×C79C22semidirect
196. #459×C79C22semidirect
197. #447×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. C2×#102×C79C22semidirect
937. #3318D79semidirect
959. C79#62015semidirect
974. #553C2×D79semidirect
989. D42C2×D79semidirect
1018. #490C2×D79semidirect
1026. #482C2×D79semidirect
1028. #481C2×D79semidirect
1032. #478C2×D79semidirect
1040. #469C2×D79semidirect
1048. #466C2×D79semidirect
1080. #459C2×D79semidirect
1097. #447C2×D79semidirect
1098. #447C2×D79semidirect
1106. #442C2×D79semidirect
1116. #435C2×D79semidirect
1126. #418C2×D79semidirect
1130. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779142
#237774282
#237764462
#237764432
#237761512
#237761482
#237755572
#237755542
#237755372
#237753002
#237752962
D4×#119296092
#237750702
#237749002
#237748922
#237748872
#237748732
#237748152
#237748122
#237747062
#237744512
#237744462
#237743842
#237735822
#237735792
#237734882
#237729022
#237728982
C2×#190987772
#237725402
C79×#33182
#6201579