Finite Group Databasebeta

← #35181796

Subgroups — #35181796

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#23777966C211yesmaximal, characteristic, complemented
2#23777428C211yesmaximal, characteristic, complemented
3#23776421C211yesmaximal, characteristic, complemented
4#23776419C211yesmaximal, characteristic, complemented
5#23776225C211yesmaximal, characteristic, complemented
6#23776222C211yesmaximal, characteristic, complemented
7#23775587C211yesmaximal, characteristic, complemented
8#23775584C211yesmaximal, characteristic, complemented
9#23775567C211yesmaximal, characteristic, complemented
10#23775248C211yesmaximal, characteristic, complemented
11#23775244C211yesmaximal, characteristic, complemented
12D4×#11929611C211yesmaximal, characteristic, complemented
13#23775089C211yesmaximal, characteristic, complemented
14#23774902C211yesmaximal, characteristic, complemented
15#23774888C211yesmaximal, characteristic, complemented
16#23774885C211yesmaximal, characteristic, complemented
17#23774877C211yesmaximal, characteristic, complemented
18#23774817C211yesmaximal, characteristic, complemented
19#23774806C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774462C211yesmaximal, characteristic, complemented
22#23774457C211yesmaximal, characteristic, complemented
23#23774386C211yesmaximal, characteristic, complemented
24#23773588C211yesmaximal, characteristic, complemented
25#23773587C211yesmaximal, characteristic, complemented
26#23773496C211yesmaximal, characteristic, complemented
27#23772911C211yesmaximal, characteristic, complemented
28#23772907C211yesmaximal, characteristic, complemented
29C2×#19098781C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3320C211yesmaximal, characteristic, complemented
32C2×#14579189C2211yescharacteristic
33C2×#14579188C2211yescharacteristic
34C22×#11929611C2211yescharacteristic
35C22×#11929611C2211yescharacteristic, complemented
36C2×SD16×D79C2211yescharacteristic, complemented
37C22×D632C2211yescharacteristic
38#19099312—21no—
39#19099309—21no—
40#19099287C2211yescharacteristic, complemented
41#19099285C2211yescharacteristic, complemented
42#19099276C2211yescharacteristic, complemented
43#19099269C2211yescharacteristic, complemented
44#19099264—21no—
45#19099261C2211yescharacteristic
46#19099242—21no—
47#19099240—21no—
48#19099234C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50#19099224C2211yescharacteristic, complemented
51#19099223C2211yescharacteristic, complemented
52#19099209C2211yescharacteristic, complemented
53#19099208—21no—
54#19099205—21no—
55#19099204C2211yescharacteristic, complemented
56#19099202—21no—
57D4×D316C2211yescharacteristic
58#19099197C2211yescharacteristic
59#19099197C2211yescharacteristic, complemented
60#19099188—21no—
61#19099187—21no—
62#19099186C2211yescharacteristic, complemented
63#19099185C2211yescharacteristic, complemented
64#19099183—21no—
65#19099169C2211yescharacteristic, complemented
66#19099166C2211yescharacteristic, complemented
67#19099152—21no—
68#19099149—21no—
69#19099146—21no—
70#19099138C2211yescharacteristic, complemented
71#19099137C2211yescharacteristic, complemented
72#19099115C2211yescharacteristic, complemented
73#19099108C2211yescharacteristic
74#19099093C2211yescharacteristic
75C2×#14579150C2211yescharacteristic, complemented
76#19099072—21no—
77#121×D79—21no—
78#19099037C2211yescharacteristic, complemented
79#19099035C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic
81#19098952C2211yescharacteristic, complemented
82#19098949C2211yescharacteristic, complemented
83#19098949C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098937C2211yescharacteristic, complemented
86#19098934C2211yescharacteristic, complemented
87#19098930C2211yescharacteristic, complemented
88#19098924C2211yescharacteristic, complemented
89#19098924C2211yescharacteristic, complemented
90#19098920C2211yescharacteristic, complemented
91#19098919C2211yescharacteristic, complemented
92#19098902C2211yescharacteristic, complemented
93#19098898C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic, complemented
96#19098868C2211yescharacteristic, complemented
97#19098866C2211yescharacteristic, complemented
98#19098860C2211yescharacteristic, complemented
99#19098852C2211yescharacteristic, complemented
100#19098851C2211yescharacteristic, complemented
101#19098847C2211yescharacteristic, complemented
102#19098846C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098842C2211yescharacteristic, complemented
105#19098817C2211yescharacteristic, complemented
106#19098816C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic, complemented
108#19098800C2211yescharacteristic, complemented
109#19098797C2211yescharacteristic, complemented
110#19098795C2211yescharacteristic, complemented
111#19098794C2211yescharacteristic, complemented
112#19098794C2211yescharacteristic, complemented
113#19098792C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098781C2211yescharacteristic
116#19098781C2211yescharacteristic
117#19098781C2211yescharacteristic
118#19098781C2211yescharacteristic
119#19098781C2211yescharacteristic
120#19098781C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098781C2211yescharacteristic, complemented
123#19098781C2211yescharacteristic, complemented
124#19098781C2211yescharacteristic, complemented
125#19098781C2211yescharacteristic, complemented
126#19098781C2211yescharacteristic, complemented
127#19098780C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098779C2211yescharacteristic
130#19098778C2211yescharacteristic, complemented
131#19098767C2211yescharacteristic, complemented
132#19098767C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098767C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098765C2211yescharacteristic, complemented
138#19098763C2211yescharacteristic, complemented
139#19098762C2211yescharacteristic, complemented
140#19098761C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098759C2211yescharacteristic, complemented
143#19098757C2211yescharacteristic, complemented
144#19098716C2211yescharacteristic
145#19098713C2211yescharacteristic
146#19098713C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098711C2211yescharacteristic, complemented
149#19098711C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic, complemented
151#19098706C2211yescharacteristic, complemented
152#19098703C2211yescharacteristic, complemented
153#19098703C2211yescharacteristic, complemented
154#19098702C2211yescharacteristic, complemented
155#19098702C2211yescharacteristic, complemented
156#19098699C2211yescharacteristic
157#19098699C2211yescharacteristic, complemented
158#19098698C2211yescharacteristic
159#19098696C2211yescharacteristic, complemented
160#19098691C2211yescharacteristic, complemented
161#19098690C2211yescharacteristic, complemented
162#19098676C2211yescharacteristic
163#19098674C2211yescharacteristic
164#19098666C2211yescharacteristic, complemented
165#19098666C2211yescharacteristic, complemented
166#19098666C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098662C2211yescharacteristic, complemented
169C4×#11929611C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098645C2211yescharacteristic, complemented
172C4×#11929609C2211yescharacteristic, 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#19098570C2211yescharacteristic, complemented
185#19098558C2211yescharacteristic, complemented
186#19098557C2211yescharacteristic, complemented
187C2×#14579081C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic
189D4×Q8×C79C2211yescharacteristic, complemented
190#491×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#484×C79C2211yescharacteristic, complemented
193#479×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic, complemented
196#461×C79C2211yescharacteristic, complemented
197#448×C79C2211yescharacteristic, complemented
198#448×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#419×C79C2211yescharacteristic, complemented
202C2×#103×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623—21no—
207C2×Q8×D79C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×D316C2311yescharacteristic
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79C2311yescharacteristic
215C22×C4×D79—21no—
216#14579189—42no—
217#14579188—42no—
218C2×#11929613C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611—42no—
223C2×#11929611—42no—
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929611C2311yescharacteristic
231C2×#11929611C2311yescharacteristic
232C2×#11929611C2311yescharacteristic
233SD16×D79—42no—
234C2×D632—42no—
235C2×D632C2311yescharacteristic
236C2×D632C2311yescharacteristic
237C2×D632C2311yescharacteristic
238C2×D632C2311yescharacteristic
239C2×D632C2311yescharacteristic
240C2×D632C2311yescharacteristic
241C2×#11929609C2311yescharacteristic
242C2×#11929609C2311yescharacteristic
243C2×#11929607C2311yescharacteristic
244C22×C79⋊C8C2311yescharacteristic
245C22×C79⋊C8C2311yescharacteristic
246C2×C8×D79C2311yescharacteristic
247#14579160C2311yescharacteristic
248#14579160C2311yescharacteristic
249#14579159—21no—
250#14579159C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579158C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579156—21no—
256#14579156—21no—
257#14579156—21no—
258#14579156—21no—
259#14579156—21no—
260#14579156D411yescharacteristic
261#14579155—21no—
262#14579155—21no—
263#14579154D411yescharacteristic
264#14579152C2311yescharacteristic
265#14579151—21no—
266#14579151D411yescharacteristic
267#14579150—21no—
268#14579150—21no—
269#14579150—21no—
270#14579150C2311yescharacteristic
271#14579150C2311yescharacteristic
272#14579150C2311yescharacteristic
273#14579150C2311yescharacteristic
274#14579150C2311yescharacteristic
275#14579149—21no—
276#14579149—21no—
277#14579149C2311yescharacteristic
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147D411yescharacteristic
283#14579146—21no—
284#14579146—21no—
285#14579146—21no—
286#14579146—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579145—21no—
292#14579145D411yescharacteristic
293#14579144—21no—
294#14579144—21no—
295#14579143—21no—
296#14579143—21no—
297#14579142D411yescharacteristic
298#14579141—21no—
299#14579141—21no—
300#14579141—21no—
301#14579140—21no—
302#14579140C2311yescharacteristic
303#14579139—21no—
304#14579139—21no—
305#14579139—21no—
306#14579139—21no—
307#14579139—21no—
308#14579139—21no—
309#14579139—21no—
310#14579138—21no—
311#14579138D411yescharacteristic
312#14579137—21no—
313#14579137—21no—
314#14579137—21no—
315#14579137—21no—
316#14579137C2311yescharacteristic
317#14579136—21no—
318#14579136—21no—
319#14579136—21no—
320#14579136—21no—
321#14579136C2311yescharacteristic
322#14579136C2311yescharacteristic
323#14579136C2311yescharacteristic
324#14579135—21no—
325#14579135—21no—
326#14579135—21no—
327#14579135C2311yescharacteristic
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579134—21no—
335#14579134—21no—
336#14579134—21no—
337#14579133—21no—
338#14579133—21no—
339#14579133D411yescharacteristic
340#14579132—21no—
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349Q8×Dic79C2311yescharacteristic
350Q8×Dic79C2311yescharacteristic
351C4×Dic158C2311yescharacteristic
352#14579126—21no—
353#14579126C2311yescharacteristic
354C4×D316—21no—
355C4×D316—21no—
356C4×D316C2311yescharacteristic
357C4×D316C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359#14579123—21no—
360#14579123—21no—
361#14579123—21no—
362#14579123C2311yescharacteristic
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366#14579123C2311yescharacteristic
367#14579123C2311yescharacteristic
368#14579123C2311yescharacteristic
369#14579123C2311yescharacteristic
370C4×C22⋊D79—21no—
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#14579120C2311yescharacteristic
379#14579119—21no—
380#14579119C2311yescharacteristic
381#14579118—21no—
382#14579118—21no—
383#14579118C2311yescharacteristic
384#14579117—21no—
385C4⋊C4×D79—21no—
386C2×(C2×D79)⋊C4—21no—
387C2×(C2×D79)⋊C4—21no—
388C2×(C2×D79)⋊C4—21no—
389C2×(C2×D79)⋊C4—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—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#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×Q8×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×M16×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448C4⋊Q8×C79—21no—
449C4⋊Q8×C79C2311yescharacteristic
450#126×C79—21no—
451#125×C79C2311yescharacteristic
452#123×C79—21no—
453C22⋊Q8×C79—21no—
454C22⋊Q8×C79—21no—
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79—21no—
458#121×C79C2311yescharacteristic
459#121×C79C2311yescharacteristic
460C4×Q8×C79C2311yescharacteristic
461C4×D4×C79—21no—
462C4×D4×C79—21no—
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465#117×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×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#11929625—41no—
489#11929625—41no—
490#11929624—41no—
491#11929624—41no—
492#11929624—82no—
493#11929623—82no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158C2×D411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—41no—
500Q8×D79—41no—
501C2×D316—21no—
502C2×D316—21no—
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—21no—
512C2×D316—41no—
513C2×D316—41no—
514C2×D316—41no—
515C2×D316—41no—
516C2×D316C2411yescharacteristic
517C2×D316C2411yescharacteristic
518C2×D316C2411yescharacteristic
519C2×D316C2411yescharacteristic
520C2×D316C2411yescharacteristic
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⋊D79C2×D411yescharacteristic
531C2×C22⋊D79C2×D411yescharacteristic
532D4×D79—22no—
533D4×D79—41no—
534D4×D79—82no—
535D4×D79—82no—
536D4×D79—82no—
537C22×Dic79—21no—
538C22×Dic79C2×D411yescharacteristic
539C22×Dic79C2×D411yescharacteristic
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—21no—
543C2×C4×D79—21no—
544C2×C4×D79—21no—
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—82no—
554C2×C4×D79C2411yescharacteristic
555#11929613—22no—
556#11929613—41no—
557#11929613—41no—
558#11929612—41no—
559#11929611—22no—
560#11929611—22no—
561#11929611—22no—
562#11929611—41no—
563#11929611—41no—
564#11929611—41no—
565#11929611—41no—
566#11929611—41no—
567#11929611—41no—
568D632—22no—
569D632—22no—
570D632—41no—
571D632—41no—
572D632—41no—
573D632—41no—
574#11929609—41no—
575#11929609—41no—
576#11929607—41no—
577C2×C79⋊C8—41no—
578C2×C79⋊C8—41no—
579C2×C79⋊C8C2411yescharacteristic
580C2×C79⋊C8C2411yescharacteristic
581C2×C79⋊C8C2411yescharacteristic
582C2×C79⋊C8C2411yescharacteristic
583C8×D79—41no—
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⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊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)⋊C4C2×D411yescharacteristic
645(C2×D79)⋊C4C2×D411yescharacteristic
646(C2×D79)⋊C4C2×D411yescharacteristic
647(C2×D79)⋊C4C2×D411yescharacteristic
648C4×Dic79—21no—
649C4×Dic79—21no—
650C4×Dic79—21no—
651C4×Dic79—21no—
652C4×Dic79C2×D411yescharacteristic
653C4×Dic79C2×D411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C2×Q8×C79—21no—
658C2×Q8×C79—21no—
659C2×Q8×C79—41no—
660C2×Q8×C79—41no—
661C2×Q8×C79—41no—
662C2×Q8×C79—41no—
663C2×Q8×C79C2411yescharacteristic
664C2×Q8×C79C2411yescharacteristic
665C2×Q8×C79C2411yescharacteristic
666C2×D4×C79—21no—
667C2×D4×C79—21no—
668C2×D4×C79C2×D411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79—21no—
674C22×C4×C79C2411yescharacteristic
675C22×C4×C79C2411yescharacteristic
676SD16×C79—41no—
677SD16×C79—41no—
678SD16×C79—41no—
679M16×C79—41no—
680C2×C8×C79—41no—
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79C2×D411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
696C4⋊C4×C79C2411yescharacteristic
697C4⋊C4×C79C2411yescharacteristic
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79C2×D411yescharacteristic
705C22⋊C4×C79C2×D411yescharacteristic
706C42×C79—21no—
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79C22×D411yescharacteristic
711C23×C79C22×D411yescharacteristic
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—42no—
718C22×D79—42no—
719C22×D79—42no—
720C22×D79—42no—
721C22×D79—42no—
722C22×D79—81no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79—81no—
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732Q8×C79—21no—
733Q8×C79—21no—
734Q8×C79—21no—
735Q8×C79—21no—
736Q8×C79—81no—
737Q8×C79—81no—
738D4×C79—22no—
739D4×C79—21no—
740D4×C79—21no—
741D4×C79—42no—
742D4×C79—81no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—81no—
755C2×C4×C79—81no—
756C2×C4×C79—81no—
757C2×C4×C79—81no—
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C22×D411yescharacteristic
761C2×C4×C79C22×D411yescharacteristic
762C2×C4×C79C2511yescharacteristic
763C22⋊D79—22no—
764C22⋊D79—41no—
765C22⋊D79—42no—
766C22⋊D79—42no—
767C22⋊D79—42no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C2×Dic79—22no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—41no—
779C2×Dic79—81no—
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787D316—21no—
788D316—21no—
789D316—21no—
790D316—21no—
791D316—21no—
792D316—21no—
793D316—21no—
794D316—21no—
795D316—21no—
796D316—42no—
797D316—42no—
798D316—81no—
799D316—81no—
800D316—81no—
801D316—81no—
802D316—81no—
803D316—81no—
804D316—81no—
805D316H(5,𝔽2)12yes—
806C4×D79—21no—
807C4×D79—21no—
808C4×D79—42no—
809C4×D79—42no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
813C4×D79—81no—
814C4×D79—81no—
815C4×D79—81no—
816C4×D79—81no—
817C4×D79—81no—
818C4×D79—81no—
819C4×D79—81no—
820C4×D79—81no—
821Dic158—21no—
822Dic158—21no—
823Dic158—41no—
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#57712yes—
844C22×C79C23×D411yescharacteristic
845C2×D79—21no—
846C2×D79—22no—
847C2×D79—21no—
848C2×D79—21no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—84no—
864C2×D79—162no—
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×C79—41no—
877C4×C79—41no—
878C4×C79C2×H(5,𝔽2)11yescharacteristic
879C4×C79#58511yescharacteristic
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—21no—
885Dic79—21no—
886Dic79—21no—
887Dic79—41no—
888Dic79—41no—
889Dic79—41no—
890#62016—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—41no—
893C2×C79—81no—
894C2×C79#348811yescharacteristic
895C2×C79C2×#57711yescharacteristic
896C2×C79#358511yescharacteristic
897D79—41no—
898D79—42no—
899D79—81no—
900D79—81no—
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#3320D7911yescharacteristic, complemented
913#3297—791no—
914#3297—791no—
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×Q8C2×D7911yescharacteristic, complemented
955#548—791no—
956#548—791no—
957#546—791no—
958#546—791no—
959#546—1581no—
960#546—1581no—
961#546—1581no—
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#491C2×D7911yescharacteristic, complemented
994#489—791no—
995#489—791no—
996#488—791no—
997#488—791no—
998#485—791no—
999#485C2×D7911yescharacteristic, complemented
1000#484—791no—
1001#484C2×D7911yescharacteristic, complemented
1002#482—791no—
1003#482—791no—
1004#479—791no—
1005#479C2×D7911yescharacteristic, complemented
1006#478—791no—
1007#478—791no—
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#468C2×D7911yescharacteristic, complemented
1018#466—791no—
1019#466—791no—
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#463—791no—
1042#461—791no—
1043#461—791no—
1044#461—791no—
1045#461—791no—
1046#461—791no—
1047#461—791no—
1048#461—791no—
1049#461C2×D7911yescharacteristic, complemented
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#449—791no—
1064#448—791no—
1065#448—791no—
1066#448—791no—
1067#448—791no—
1068#448C2×D7911yescharacteristic, complemented
1069#448C2×D7911yescharacteristic, complemented
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447—791no—
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#440C2×D7911yescharacteristic, complemented
1084C4×SD16—791no—
1085C4×SD16—791no—
1086C4×D8—791no—
1087C4×D8—791no—
1088#435—791no—
1089#435—791no—
1090#435—791no—
1091#435C2×D7911yescharacteristic, complemented
1092C8×D4—791no—
1093C8×D4—791no—
1094#433—791no—
1095#433—791no—
1096#432—791no—
1097#424—791no—
1098#424—791no—
1099C2×C4⋊C8—791no—
1100#419—791no—
1101#419C2×D7911yescharacteristic, complemented
1102#416—791no—
1103#416—791no—
1104C2×#103C2×D7911yescharacteristic, complemented
1105C2×#102—791no—
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—1581no—
1109C2×#41—1581no—
1110C22×Q8—791no—
1111C22×Q8C22×D7911yescharacteristic
1112C22×Q8C22×D7911yescharacteristic
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C22×D4—1581no—
1118C22×D4—1581no—
1119C22×D4—1581no—
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×SD16C22×D7911yescharacteristic
1140C2×SD16C22×D7911yescharacteristic
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×D8—791no—
1150C2×D8—791no—
1151C2×M16—791no—
1152C2×M16C22×D7911yescharacteristic
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8—791no—
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—21no—
1158C4⋊Q8—791no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—791no—
1162C4⋊Q8—1581no—
1163C4⋊Q8C22×D7911yescharacteristic
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—791no—
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#124—1581no—
1197#123—21no—
1198#123—791no—
1199#123—791no—
1200#123—1581no—
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—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—791no—
1216C22⋊Q8—791no—
1217C22⋊Q8—791no—
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⋊Q8C22×D7911yescharacteristic
1235C22⋊Q8C22×D7911yescharacteristic
1236#121—21no—
1237#121—791no—
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#121—1581no—
1261#121C22×D7911yescharacteristic
1262#121C22×D7911yescharacteristic
1263#120—1581no—
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—1581no—
1276C4×Q8C22×D7911yescharacteristic
1277C4×D4—21no—
1278C4×D4—21no—
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—791no—
1291C4×D4—791no—
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×D4—1581no—
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—1581no—
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#103C22×D7911yescharacteristic
1351#103C22×D7911yescharacteristic
1352#103C22×D7911yescharacteristic
1353#103C22×D7911yescharacteristic
1354#103C22×D7911yescharacteristic
1355#103C22×D7911yescharacteristic
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#102—791no—
1369#102—791no—
1370#102—791no—
1371#102—791no—
1372#102—791no—
1373#102—791no—
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#97C22×D7911yescharacteristic
1385C4×C8—791no—
1386C4×C8—791no—
1387C24—1581no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—3161no—
1392#41—3161no—
1393#41—3161no—
1394#41—3161no—
1395#41—6322no—
1396#41—6322no—
1397C2×Q8—21no—
1398C2×Q8—21no—
1399C2×Q8—41no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—3161no—
1404C2×Q8—3161no—
1405C2×Q8—791no—
1406C2×Q8—791no—
1407C2×Q8—1581no—
1408C2×Q8—1581no—
1409C2×Q8—1581no—
1410C2×Q8C23×D7911yescharacteristic
1411C2×Q8C23×D7911yescharacteristic
1412C2×Q8C23×D7911yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3161no—
1419C2×D4—3161no—
1420C2×D4—791no—
1421C2×D4—791no—
1422C2×D4—791no—
1423C2×D4—791no—
1424C2×D4—791no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—6322no—
1428C2×D4—6322no—
1429C2×D4—6322no—
1430C2×D4—1582no—
1431C2×D4—1582no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1581no—
1441C2×D4—1582no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4—1581no—
1446C2×D4—1581no—
1447C2×D4—1581no—
1448C2×D4—1581no—
1449C2×D4—1581no—
1450C2×D4—1581no—
1451C2×D4D4×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—41no—
1479SD16—41no—
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—3161no—
1494D8—3161no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—3161no—
1499D8—1582no—
1500D8—1582no—
1501M16—41no—
1502M16—3161no—
1503C2×C8—41no—
1504C2×C8—3161no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
1527C4⋊C4—791no—
1528C4⋊C4—791no—
1529C4⋊C4—791no—
1530C4⋊C4—791no—
1531C4⋊C4—791no—
1532C4⋊C4—791no—
1533C4⋊C4—791no—
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—791no—
1559C22⋊C4—791no—
1560C22⋊C4—791no—
1561C22⋊C4—791no—
1562C22⋊C4—791no—
1563C22⋊C4—791no—
1564C22⋊C4—791no—
1565C22⋊C4—791no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4D4×D7911yescharacteristic
1599C22⋊C4D4×D7911yescharacteristic
1600C42—21no—
1601C42—21no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—791no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42—1581no—
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—3162no—
1614C23—3162no—
1615C23—3162no—
1616C23—3162no—
1617C23—3162no—
1618C23—791no—
1619C23—6321no—
1620C23—6321no—
1621C23—6321no—
1622C23—6321no—
1623C23—6321no—
1624C23—6321no—
1625C23—6321no—
1626C23—1581no—
1627C23—1581no—
1628C23—1581no—
1629C23—1581no—
1630C23—1581no—
1631C23C2×D4×D7911yescharacteristic
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—81no—
1641Q8—3161no—
1642Q8—6321no—
1643Q8—6321no—
1644Q8—6321no—
1645Q8—1581no—
1646Q8—1581no—
1647D4—22no—
1648D4—21no—
1649D4—21no—
1650D4—42no—
1651D4—81no—
1652D4—3162no—
1653D4—3162no—
1654D4—3162no—
1655D4—3161no—
1656D4—3162no—
1657D4—3162no—
1658D4—792no—
1659D4—6321no—
1660D4—6321no—
1661D4—6321no—
1662D4—6321no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—6321no—
1671D4—6321no—
1672D4—1582no—
1673D4—1581no—
1674D4—1581no—
1675D4—1581no—
1676D4—1581no—
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—21no—
1692C2×C4—21no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—3162no—
1698C2×C4—3162no—
1699C2×C4—3161no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—791no—
1706C2×C4—791no—
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—6321no—
1718C2×C4—6321no—
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—3161no—
1747C22—3161no—
1748C22—3161no—
1749C22—3161no—
1750C22—3161no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—6324no—
1761C22—1581no—
1762C22—1582no—
1763C22—1581no—
1764C22—1581no—
1765C22—12642no—
1766C22—12642no—
1767C22—12642no—
1768C22#1909937212yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
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—3162no—
1797C2—3161no—
1798C2—6321no—
1799C2—6321no—
1800C2—6321no—
1801C2—6321no—
1802C2#2377706311yescharacteristic
1803C2C2×#1909937211yescharacteristic
1804C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3320C2
socleC22×C79C23×D4
hypercenter#3320D79
hypocenterC79#62016
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #23777966C2semidirect
2. #23777428C2semidirect
3. #23776421C2semidirect
4. #23776419C2semidirect
5. #23776225C2semidirect
6. #23776222C2semidirect
7. #23775587C2semidirect
8. #23775584C2semidirect
9. #23775567C2semidirect
10. #23775248C2semidirect
11. #23775244C2semidirect
12. D4×#11929611C2semidirect
13. #23775089C2semidirect
14. #23774902C2semidirect
15. #23774888C2semidirect
16. #23774885C2semidirect
17. #23774877C2semidirect
18. #23774817C2semidirect
19. #23774806C2semidirect
20. #23774711C2semidirect
21. #23774462C2semidirect
22. #23774457C2semidirect
23. #23774386C2semidirect
24. #23773588C2semidirect
25. #23773587C2semidirect
26. #23773496C2semidirect
27. #23772911C2semidirect
28. #23772907C2semidirect
29. C2×#19098781C2semidirect
30. #23772540C2semidirect
31. C79×#3320C2semidirect
35. C22×#11929611C22semidirect
36. C2×SD16×D79C22semidirect
40. #19099287C22semidirect
41. #19099285C22semidirect
42. #19099276C22semidirect
43. #19099269C22semidirect
48. #19099234C22semidirect
49. Q8×C22⋊D79C22semidirect
50. #19099224C22semidirect
51. #19099223C22semidirect
52. #19099209C22semidirect
55. #19099204C22semidirect
59. #19099197C22semidirect
62. #19099186C22semidirect
63. #19099185C22semidirect
65. #19099169C22semidirect
66. #19099166C22semidirect
70. #19099138C22semidirect
71. #19099137C22semidirect
72. #19099115C22semidirect
75. C2×#14579150C22semidirect
78. #19099037C22semidirect
79. #19099035C22semidirect
81. #19098952C22semidirect
82. #19098949C22semidirect
83. #19098949C22semidirect
84. #19098949C22semidirect
85. #19098937C22semidirect
86. #19098934C22semidirect
87. #19098930C22semidirect
88. #19098924C22semidirect
89. #19098924C22semidirect
90. #19098920C22semidirect
91. #19098919C22semidirect
92. #19098902C22semidirect
93. #19098898C22semidirect
94. #19098890C22semidirect
95. #19098887C22semidirect
96. #19098868C22semidirect
97. #19098866C22semidirect
98. #19098860C22semidirect
99. #19098852C22semidirect
100. #19098851C22semidirect
101. #19098847C22semidirect
102. #19098846C22semidirect
103. #19098842C22semidirect
104. #19098842C22semidirect
105. #19098817C22semidirect
106. #19098816C22semidirect
107. #19098812C22semidirect
108. #19098800C22semidirect
109. #19098797C22semidirect
110. #19098795C22semidirect
111. #19098794C22semidirect
112. #19098794C22semidirect
113. #19098792C22semidirect
114. #19098790C22semidirect
120. #19098781C22semidirect
121. #19098781C22semidirect
122. #19098781C22semidirect
123. #19098781C22semidirect
124. #19098781C22semidirect
125. #19098781C22semidirect
126. #19098781C22semidirect
127. #19098780C22semidirect
128. #19098780C22semidirect
130. #19098778C22semidirect
131. #19098767C22semidirect
132. #19098767C22semidirect
133. #19098767C22semidirect
134. #19098767C22semidirect
135. #19098767C22semidirect
136. #19098766C22semidirect
137. #19098765C22semidirect
138. #19098763C22semidirect
139. #19098762C22semidirect
140. #19098761C22semidirect
141. #19098761C22semidirect
142. #19098759C22semidirect
143. #19098757C22semidirect
146. #19098713C22semidirect
147. #19098712C22semidirect
148. #19098711C22semidirect
149. #19098711C22semidirect
150. #19098710C22semidirect
151. #19098706C22semidirect
152. #19098703C22semidirect
153. #19098703C22semidirect
154. #19098702C22semidirect
155. #19098702C22semidirect
157. #19098699C22semidirect
159. #19098696C22semidirect
160. #19098691C22semidirect
161. #19098690C22semidirect
164. #19098666C22semidirect
165. #19098666C22semidirect
166. #19098666C22semidirect
167. #19098662C22semidirect
168. #19098662C22semidirect
169. C4×#11929611C22semidirect
170. #19098648C22semidirect
171. #19098645C22semidirect
172. C4×#11929609C22semidirect
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. #19098570C22semidirect
185. #19098558C22semidirect
186. #19098557C22semidirect
187. C2×#14579081C22semidirect
189. D4×Q8×C79C22semidirect
190. #491×C79C22semidirect
191. #485×C79C22semidirect
192. #484×C79C22semidirect
193. #479×C79C22semidirect
194. #468×C79C22semidirect
195. #465×C79C22semidirect
196. #461×C79C22semidirect
197. #448×C79C22semidirect
198. #448×C79C22semidirect
199. #440×C79C22semidirect
200. #435×C79C22semidirect
201. #419×C79C22semidirect
202. C2×#103×C79C22semidirect
912. #3320D79semidirect
934. C79#62016semidirect
954. D4×Q8C2×D79semidirect
993. #491C2×D79semidirect
999. #485C2×D79semidirect
1001. #484C2×D79semidirect
1005. #479C2×D79semidirect
1017. #468C2×D79semidirect
1025. #465C2×D79semidirect
1049. #461C2×D79semidirect
1068. #448C2×D79semidirect
1069. #448C2×D79semidirect
1083. #440C2×D79semidirect
1091. #435C2×D79semidirect
1101. #419C2×D79semidirect
1104. C2×#103C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779662
#237774282
#237764212
#237764192
#237762252
#237762222
#237755872
#237755842
#237755672
#237752482
#237752442
D4×#119296112
#237750892
#237749022
#237748882
#237748852
#237748772
#237748172
#237748062
#237747112
#237744622
#237744572
#237743862
#237735882
#237735872
#237734962
#237729112
#237729072
C2×#190987812
#237725402
C79×#33202
#6201679