Finite Group Databasebeta

← #35182064

Subgroups — #35182064

Order 20224.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777988C211yesmaximal, characteristic, complemented
2#23776460C211yesmaximal, characteristic, complemented
3#23776408C211yesmaximal, characteristic, complemented
4#23776153C211yesmaximal, characteristic, complemented
5#23776049C211yesmaximal, characteristic, complemented
6#23775699C211yesmaximal, characteristic, complemented
7#23775662C211yesmaximal, characteristic, complemented
8#23775647C211yesmaximal, characteristic, complemented
9#23775520C211yesmaximal, characteristic, complemented
10#23775355C211yesmaximal, characteristic, complemented
11#23775244C211yesmaximal, characteristic, complemented
12#23775103C211yesmaximal, characteristic, complemented
13#23775016C211yesmaximal, characteristic, complemented
14#23775007C211yesmaximal, characteristic, complemented
15#23775007C211yesmaximal, characteristic, complemented
16#23774921C211yesmaximal, characteristic, complemented
17#23774891C211yesmaximal, characteristic, complemented
18#23774846C211yesmaximal, characteristic, complemented
19#23774811C211yesmaximal, characteristic, complemented
20#23774796C211yesmaximal, characteristic, complemented
21#23774503C211yesmaximal, characteristic, complemented
22#23774444C211yesmaximal, characteristic, complemented
23#23774372C211yesmaximal, characteristic, complemented
24#23773643C211yesmaximal, characteristic, complemented
25#23773614C211yesmaximal, characteristic, complemented
26#23773447C211yesmaximal, characteristic, complemented
27#23772939C211yesmaximal, characteristic, complemented
28#23772912C211yesmaximal, characteristic, complemented
29#23772864C211yesmaximal, characteristic, complemented
30#23772549C211yesmaximal, characteristic, complemented
31C79×#3513C211yesmaximal, characteristic, complemented
32C2×#14579187C2211yescharacteristic
33C2×#14579187C2211yescharacteristic
34C2×#14579187C2211yescharacteristic, complemented
35C2×#14579186C2211yescharacteristic
36C2×#14579181C2211yescharacteristic
37C22×#11929612C2211yescharacteristic, complemented
38#19099309—21no—
39#19099301—21no—
40#19099298C2211yescharacteristic, complemented
41#19099286C2211yescharacteristic, complemented
42#19099264—21no—
43#19099238—21no—
44#19099234C2211yescharacteristic
45#19099222C2211yescharacteristic
46#19099222C2211yescharacteristic, complemented
47#19099218C2211yescharacteristic, complemented
48#19099209C2211yescharacteristic, complemented
49#19099209C2211yescharacteristic, complemented
50#19099175C2211yescharacteristic, complemented
51#19099168C2211yescharacteristic, complemented
52#19099165—21no—
53#19099161—21no—
54#19099149—21no—
55#19099147—21no—
56#19099139C2211yescharacteristic, complemented
57#19099132C2211yescharacteristic, complemented
58#19099113C2211yescharacteristic, complemented
59#19099097C2211yescharacteristic, complemented
60#19098958C2211yescharacteristic, complemented
61#19098950C2211yescharacteristic
62#19098945C2211yescharacteristic, complemented
63#19098945C2211yescharacteristic, complemented
64#19098945C2211yescharacteristic, complemented
65#19098939C2211yescharacteristic
66#19098929C2211yescharacteristic, complemented
67#19098925C2211yescharacteristic, complemented
68#19098920C2211yescharacteristic, complemented
69#19098920C2211yescharacteristic, complemented
70#19098920C2211yescharacteristic, complemented
71#19098915C2211yescharacteristic, complemented
72#19098898C2211yescharacteristic, complemented
73#19098898C2211yescharacteristic, complemented
74#19098893C2211yescharacteristic, complemented
75#19098887C2211yescharacteristic, complemented
76#19098887C2211yescharacteristic, complemented
77#19098881C2211yescharacteristic, complemented
78#19098870C2211yescharacteristic, complemented
79#19098867C2211yescharacteristic, complemented
80#19098867C2211yescharacteristic, complemented
81#19098867C2211yescharacteristic, complemented
82#19098863C2211yescharacteristic, complemented
83#19098863C2211yescharacteristic, complemented
84#19098863C2211yescharacteristic, complemented
85#19098860C2211yescharacteristic, complemented
86#19098850C2211yescharacteristic, complemented
87#19098840C2211yescharacteristic, complemented
88#19098819C2211yescharacteristic, complemented
89#19098814C2211yescharacteristic
90#19098814C2211yescharacteristic, complemented
91#19098811C2211yescharacteristic, complemented
92#19098811C2211yescharacteristic, complemented
93#19098807C2211yescharacteristic, complemented
94#19098807C2211yescharacteristic, complemented
95#19098807C2211yescharacteristic, complemented
96#19098797C2211yescharacteristic
97#19098794C2211yescharacteristic, complemented
98#19098790C2211yescharacteristic, complemented
99#19098790C2211yescharacteristic, complemented
100#19098785C2211yescharacteristic, complemented
101#19098785C2211yescharacteristic, complemented
102#19098782C2211yescharacteristic, complemented
103#19098778C2211yescharacteristic
104#19098778C2211yescharacteristic
105#19098778C2211yescharacteristic
106#19098778C2211yescharacteristic
107#19098778C2211yescharacteristic, complemented
108#19098778C2211yescharacteristic, complemented
109#19098778C2211yescharacteristic, complemented
110#19098778C2211yescharacteristic, complemented
111#19098778C2211yescharacteristic, complemented
112#19098778C2211yescharacteristic, complemented
113#19098775C2211yescharacteristic, complemented
114#19098775C2211yescharacteristic, complemented
115#19098775C2211yescharacteristic, complemented
116#19098773C2211yescharacteristic, complemented
117#19098768C2211yescharacteristic, complemented
118#19098768C2211yescharacteristic, complemented
119#19098768C2211yescharacteristic, complemented
120#19098768C2211yescharacteristic, complemented
121#19098768C2211yescharacteristic, complemented
122#19098763C2211yescharacteristic, complemented
123#19098763C2211yescharacteristic, complemented
124#19098760C2211yescharacteristic, complemented
125#19098760C2211yescharacteristic, complemented
126#19098758C2211yescharacteristic
127#19098758C2211yescharacteristic
128#19098758C2211yescharacteristic, complemented
129#19098758C2211yescharacteristic, complemented
130#19098725C2211yescharacteristic
131#19098725C2211yescharacteristic
132#19098723C2211yescharacteristic, complemented
133#19098723C2211yescharacteristic, complemented
134#19098723C2211yescharacteristic, complemented
135#19098718C2211yescharacteristic, complemented
136#19098714C2211yescharacteristic, complemented
137#19098706C2211yescharacteristic
138#19098706C2211yescharacteristic
139#19098706C2211yescharacteristic, complemented
140#19098706C2211yescharacteristic, complemented
141#19098706C2211yescharacteristic, complemented
142#19098701C2211yescharacteristic, complemented
143#19098697C2211yescharacteristic
144#19098697C2211yescharacteristic
145#19098697C2211yescharacteristic, complemented
146#19098696C2211yescharacteristic, complemented
147#19098696C2211yescharacteristic, complemented
148#19098694C2211yescharacteristic, complemented
149Q8×C79⋊C8C2211yescharacteristic, complemented
150#19098673C2211yescharacteristic, complemented
151#19098673C2211yescharacteristic, complemented
152#19098668C2211yescharacteristic, complemented
153#19098663C2211yescharacteristic, complemented
154C4×#11929614C2211yescharacteristic, complemented
155C4×#11929612C2211yescharacteristic, complemented
156C4×#11929612C2211yescharacteristic, complemented
157C4×#11929612C2211yescharacteristic, complemented
158C4×#11929609C2211yescharacteristic
159C4×#11929609C2211yescharacteristic
160C4×#11929609C2211yescharacteristic, complemented
161C4×#11929609C2211yescharacteristic, complemented
162#19098641C2211yescharacteristic, complemented
163#19098641C2211yescharacteristic, complemented
164#19098641C2211yescharacteristic, complemented
165#19098635C2211yescharacteristic, complemented
166#19098635C2211yescharacteristic, complemented
167D4×C79⋊C8C2211yescharacteristic, complemented
168#19098624C2211yescharacteristic, complemented
169#19098624C2211yescharacteristic, complemented
170#19098616C2211yescharacteristic, complemented
171#19098590C2211yescharacteristic, complemented
172#19098590C2211yescharacteristic, complemented
173#19098587C2211yescharacteristic, complemented
174#19098571C2211yescharacteristic, complemented
175#19098562C2211yescharacteristic, complemented
176#19098562C2211yescharacteristic, complemented
177#19098562C2211yescharacteristic, complemented
178#19098557C2211yescharacteristic, complemented
179C2×#14579081C2211yescharacteristic, complemented
180#559×C79C2211yescharacteristic, complemented
181#554×C79C2211yescharacteristic, complemented
182#553×C79—21no—
183#553×C79C2211yescharacteristic
184#552×C79C2211yescharacteristic, complemented
185#551×C79—21no—
186#551×C79—21no—
187#547×C79C2211yescharacteristic
188#546×C79—21no—
189#546×C79C2211yescharacteristic
190#546×C79C2211yescharacteristic
191D42×C79C2211yescharacteristic, complemented
192#542×C79C2211yescharacteristic, complemented
193#540×C79C2211yescharacteristic
194#539×C79—21no—
195#538×C79—21no—
196#529×C79C2211yescharacteristic
197#529×C79C2211yescharacteristic, complemented
198#525×C79—21no—
199C2×#123×C79—21no—
200#520×C79C2211yescharacteristic
201#518×C79C2211yescharacteristic, complemented
202C2×C4×D4×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2311yescharacteristic
205C2×#11929624C2311yescharacteristic
206C2×#11929624C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C22×D316C2311yescharacteristic
209#14579187—42no—
210#14579187—42no—
211#14579187—42no—
212#14579186—42no—
213#14579181—42no—
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929612—42no—
218C2×#11929612C2311yescharacteristic
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929612C2311yescharacteristic
226C2×#11929612C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229C2×#11929611C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233C2×#11929609C2311yescharacteristic
234C2×#11929609C2311yescharacteristic
235C2×#11929609C2311yescharacteristic
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929608C2311yescharacteristic
240C2×#11929608C2311yescharacteristic
241C2×#11929608C2311yescharacteristic
242C2×#11929608C2311yescharacteristic
243C22×C79⋊C8C2311yescharacteristic
244C22×C79⋊C8C2311yescharacteristic
245#14579161C2311yescharacteristic
246#14579161C2311yescharacteristic
247#14579158C2311yescharacteristic
248#14579158C2311yescharacteristic
249#14579157—21no—
250#14579156—21no—
251#14579156—21no—
252#14579155—21no—
253#14579154—21no—
254#14579154—21no—
255#14579153C2311yescharacteristic
256#14579151—21no—
257#14579151—21no—
258#14579150—21no—
259#14579149C2311yescharacteristic
260#14579149C2311yescharacteristic
261#14579149C2311yescharacteristic
262#14579149C2311yescharacteristic
263#14579149C2311yescharacteristic
264#14579147—21no—
265#14579147—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579146—21no—
271#14579146—21no—
272#14579145—21no—
273#14579145—21no—
274#14579144—21no—
275#14579143—21no—
276#14579143—21no—
277#14579141—21no—
278#14579141—21no—
279#14579140C2311yescharacteristic
280#14579140C2311yescharacteristic
281#14579140C2311yescharacteristic
282#14579139—21no—
283#14579139—21no—
284#14579137—21no—
285#14579136—21no—
286#14579136—21no—
287#14579135—21no—
288#14579135—21no—
289#14579135C2311yescharacteristic
290#14579135C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579134—21no—
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579133—21no—
299#14579133—21no—
300#14579132—21no—
301#14579131—21no—
302#14579131—21no—
303#14579129—21no—
304#14579129—21no—
305C4×Dic158C2311yescharacteristic
306C4×Dic158C2311yescharacteristic
307C4×Dic158C2311yescharacteristic
308C4×D316—21no—
309C4×D316—21no—
310C4×D316C2311yescharacteristic
311C4×D316C2311yescharacteristic
312C4×D316C2311yescharacteristic
313#14579123—21no—
314#14579123—21no—
315C4×C22⋊D79—21no—
316(C22⋊D79)⋊C4—21no—
317(C22⋊D79)⋊C4—21no—
318#14579119—21no—
319#14579118—21no—
320C4⋊C4×D79—21no—
321C22⋊C4×D79—21no—
322C22⋊C4×D79—21no—
323#14579094C2311yescharacteristic
324#14579094C2311yescharacteristic
325#14579094C2311yescharacteristic
326#14579094C2311yescharacteristic
327#14579092C2311yescharacteristic
328#14579092C2311yescharacteristic
329#14579092C2311yescharacteristic
330#14579092C2311yescharacteristic
331C4⋊(C79⋊C8)C2311yescharacteristic
332C4⋊(C79⋊C8)C2311yescharacteristic
333C4⋊(C79⋊C8)C2311yescharacteristic
334C4⋊(C79⋊C8)C2311yescharacteristic
335C4⋊(C79⋊C8)C2311yescharacteristic
336C4⋊(C79⋊C8)C2311yescharacteristic
337C4⋊(C79⋊C8)C2311yescharacteristic
338C4⋊(C79⋊C8)C2311yescharacteristic
339C4⋊(C79⋊C8)C2311yescharacteristic
340C4⋊(C79⋊C8)C2311yescharacteristic
341#14579085C2311yescharacteristic
342#14579085C2311yescharacteristic
343#14579084C2311yescharacteristic
344#14579084C2311yescharacteristic
345#14579084C2311yescharacteristic
346#14579084C2311yescharacteristic
347#14579084C2311yescharacteristic
348#14579084C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579084C2311yescharacteristic
351#14579084C2311yescharacteristic
352#14579084C2311yescharacteristic
353#14579084C2311yescharacteristic
354#14579084C2311yescharacteristic
355#14579082C2311yescharacteristic
356#14579082C2311yescharacteristic
357#14579082C2311yescharacteristic
358#14579082C2311yescharacteristic
359#14579082C2311yescharacteristic
360#14579082C2311yescharacteristic
361#14579081C2311yescharacteristic
362#14579081C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366#14579081C2311yescharacteristic
367#14579081C2311yescharacteristic
368#14579081C2311yescharacteristic
369#14579081C2311yescharacteristic
370#14579081C2311yescharacteristic
371#14579081C2311yescharacteristic
372#14579081C2311yescharacteristic
373C22⋊(C79⋊C8)C2311yescharacteristic
374C22⋊(C79⋊C8)C2311yescharacteristic
375C22⋊(C79⋊C8)C2311yescharacteristic
376C22⋊(C79⋊C8)C2311yescharacteristic
377C22⋊(C79⋊C8)C2311yescharacteristic
378C22⋊(C79⋊C8)C2311yescharacteristic
379#14579072C2311yescharacteristic
380#14579072C2311yescharacteristic
381C4×C79⋊C8C2311yescharacteristic
382C4×C79⋊C8C2311yescharacteristic
383C4×C79⋊C8C2311yescharacteristic
384C4×C79⋊C8C2311yescharacteristic
385C2×#41×C79—21no—
386C2×#41×C79C2311yescharacteristic
387C22×D4×C79—21no—
388C22×D4×C79C2311yescharacteristic
389C22×D4×C79C2311yescharacteristic
390C23×C4×C79—21no—
391C4⋊Q8×C79C2311yescharacteristic
392#127×C79C2311yescharacteristic
393#126×C79—21no—
394#126×C79—21no—
395#126×C79—21no—
396#126×C79—21no—
397#126×C79D411yescharacteristic
398#126×C79D411yescharacteristic
399#125×C79—21no—
400#125×C79D411yescharacteristic
401#125×C79C2311yescharacteristic
402#125×C79C2311yescharacteristic
403#124×C79—21no—
404#124×C79—21no—
405#124×C79D411yescharacteristic
406#124×C79C2311yescharacteristic
407#124×C79C2311yescharacteristic
408#123×C79—21no—
409#123×C79—21no—
410#123×C79—21no—
411#123×C79—21no—
412#123×C79—21no—
413#123×C79—21no—
414#123×C79—21no—
415#123×C79—21no—
416#123×C79—21no—
417#123×C79—21no—
418#123×C79—21no—
419#123×C79—21no—
420#123×C79D411yescharacteristic
421#123×C79D411yescharacteristic
422C22⋊Q8×C79—21no—
423C22⋊Q8×C79—21no—
424C22⋊Q8×C79—21no—
425C22⋊Q8×C79—21no—
426C22⋊Q8×C79—21no—
427C22⋊Q8×C79D411yescharacteristic
428C22⋊Q8×C79C2311yescharacteristic
429C22⋊Q8×C79C2311yescharacteristic
430#121×C79—21no—
431#121×C79—21no—
432#121×C79—21no—
433#121×C79—21no—
434#121×C79—21no—
435#121×C79—21no—
436#121×C79D411yescharacteristic
437#121×C79C2311yescharacteristic
438#121×C79C2311yescharacteristic
439#121×C79C2311yescharacteristic
440#121×C79C2311yescharacteristic
441#120×C79—21no—
442#120×C79—21no—
443#120×C79—21no—
444#120×C79—21no—
445C4×Q8×C79C2311yescharacteristic
446C4×Q8×C79C2311yescharacteristic
447C4×Q8×C79C2311yescharacteristic
448C4×D4×C79—21no—
449C4×D4×C79—21no—
450C4×D4×C79—21no—
451C4×D4×C79—21no—
452C4×D4×C79—21no—
453C4×D4×C79—21no—
454C4×D4×C79—21no—
455C4×D4×C79—21no—
456C4×D4×C79—21no—
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468#117×C79—21no—
469#117×C79—21no—
470#117×C79—21no—
471#117×C79C2311yescharacteristic
472#117×C79C2311yescharacteristic
473#117×C79C2311yescharacteristic
474C2×C4⋊C4×C79—21no—
475C2×C4⋊C4×C79—21no—
476C2×C4⋊C4×C79C2311yescharacteristic
477C2×C4⋊C4×C79C2311yescharacteristic
478C2×C22⋊C4×C79—21no—
479C2×C22⋊C4×C79—21no—
480C2×C22⋊C4×C79—21no—
481C2×C22⋊C4×C79—21no—
482C2×C22⋊C4×C79—21no—
483C2×C42×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929624—41no—
488#11929624—41no—
489#11929624—41no—
490#11929624—41no—
491#11929624—41no—
492#11929624—41no—
493C2×Dic158—21no—
494C2×Dic158—41no—
495C2×Dic158—41no—
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×D316—21no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316—21no—
504C2×D316—41no—
505C2×D316—41no—
506C2×D316C2411yescharacteristic
507C2×D316C2411yescharacteristic
508C2×D316C2411yescharacteristic
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C22×Dic79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—21no—
521C2×C4×D79—21no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524#11929614—41no—
525#11929614—41no—
526#11929614—41no—
527#11929612—22no—
528#11929612—22no—
529#11929612—22no—
530#11929612—41no—
531#11929612—41no—
532#11929612—41no—
533#11929612—41no—
534#11929612—41no—
535#11929612—41no—
536#11929611—41no—
537#11929611—41no—
538#11929611—41no—
539#11929609—22no—
540#11929609—22no—
541#11929609—22no—
542#11929609—41no—
543#11929609—41no—
544#11929609—41no—
545#11929609—41no—
546#11929609—41no—
547#11929609—41no—
548#11929608—41no—
549#11929608—41no—
550#11929608—41no—
551#11929608—41no—
552C2×C79⋊C8—41no—
553C2×C79⋊C8—41no—
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C2×C79⋊C8C2411yescharacteristic
557C2×C79⋊C8C2411yescharacteristic
558C2×C79⋊C8C2411yescharacteristic
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579(C2×D79)⋊C4—21no—
580(C2×D79)⋊C4—21no—
581(C2×D79)⋊C4—21no—
582(C2×D79)⋊C4—21no—
583(C2×D79)⋊C4—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595C4×Dic79—21no—
596C4×Dic79—21no—
597C4×Dic79—21no—
598C24×C79—21no—
599C24×C79—21no—
600#41×C79—22no—
601#41×C79—41no—
602#41×C79—82no—
603C2×Q8×C79—21no—
604C2×Q8×C79C2×D411yescharacteristic
605C2×Q8×C79C2411yescharacteristic
606C2×D4×C79—22no—
607C2×D4×C79—22no—
608C2×D4×C79—21no—
609C2×D4×C79—21no—
610C2×D4×C79—21no—
611C2×D4×C79—21no—
612C2×D4×C79—21no—
613C2×D4×C79—21no—
614C2×D4×C79—21no—
615C2×D4×C79—21no—
616C2×D4×C79—21no—
617C2×D4×C79—41no—
618C2×D4×C79—41no—
619C2×D4×C79—82no—
620C2×D4×C79C2×D411yescharacteristic
621C2×D4×C79C2×D411yescharacteristic
622C2×D4×C79C2×D411yescharacteristic
623C2×D4×C79C2411yescharacteristic
624C2×D4×C79C2411yescharacteristic
625C2×D4×C79C2411yescharacteristic
626C22×C4×C79—21no—
627C22×C4×C79—21no—
628C22×C4×C79—21no—
629C22×C4×C79—21no—
630C22×C4×C79—21no—
631C22×C4×C79—21no—
632C22×C4×C79—21no—
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79—82no—
638C22×C4×C79C2×D411yescharacteristic
639C22×C4×C79C2×D411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641C22×C4×C79C2411yescharacteristic
642C22×C4×C79C2411yescharacteristic
643C4⋊C4×C79—21no—
644C4⋊C4×C79—21no—
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2×D411yescharacteristic
656C4⋊C4×C79C2×D411yescharacteristic
657C4⋊C4×C79C2×D411yescharacteristic
658C4⋊C4×C79C2×D411yescharacteristic
659C4⋊C4×C79C2×D411yescharacteristic
660C4⋊C4×C79C2×D411yescharacteristic
661C4⋊C4×C79C2×D411yescharacteristic
662C4⋊C4×C79C2×D411yescharacteristic
663C4⋊C4×C79C2×D411yescharacteristic
664C4⋊C4×C79C2411yescharacteristic
665C4⋊C4×C79C2411yescharacteristic
666C4⋊C4×C79C2411yescharacteristic
667C4⋊C4×C79C2411yescharacteristic
668C22⋊C4×C79—21no—
669C22⋊C4×C79—21no—
670C22⋊C4×C79—21no—
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79—21no—
677C22⋊C4×C79—21no—
678C22⋊C4×C79—21no—
679C22⋊C4×C79—21no—
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79C2×D411yescharacteristic
688C22⋊C4×C79C2×D411yescharacteristic
689C22⋊C4×C79C2×D411yescharacteristic
690C22⋊C4×C79C2×D411yescharacteristic
691C22⋊C4×C79C2×D411yescharacteristic
692C22⋊C4×C79C2×D411yescharacteristic
693C22⋊C4×C79C2×D411yescharacteristic
694C22⋊C4×C79C2×D411yescharacteristic
695C22⋊C4×C79C2×D411yescharacteristic
696C22⋊C4×C79C2×D411yescharacteristic
697C42×C79—21no—
698C42×C79—21no—
699C42×C79—21no—
700C42×C79C2×D411yescharacteristic
701C42×C79C2×D411yescharacteristic
702C42×C79C2411yescharacteristic
703C42×C79C2411yescharacteristic
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—42no—
710C23×C79—42no—
711C23×C79—42no—
712C23×C79—81no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C23×C79C22×D411yescharacteristic
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79—81no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—41no—
727Q8×C79—81no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—41no—
734D4×C79—41no—
735D4×C79—41no—
736D4×C79—42no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79—42no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
743D4×C79—81no—
744D4×C79—81no—
745D4×C79H(5,𝔽2)12yes—
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—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—41no—
758C2×C4×C79—41no—
759C2×C4×C79—42no—
760C2×C4×C79—42no—
761C2×C4×C79—81no—
762C2×C4×C79—81no—
763C2×C4×C79—81no—
764C2×C4×C79—81no—
765C2×C4×C79—81no—
766C2×C4×C79—81no—
767C2×C4×C79—81no—
768C2×C4×C79—81no—
769C2×C4×C79—81no—
770C2×C4×C79C22×D411yescharacteristic
771C2×C4×C79C22×D411yescharacteristic
772C2×C4×C79C22×D411yescharacteristic
773C2×C4×C79C22×D411yescharacteristic
774C2×C4×C79C22×D411yescharacteristic
775C2×C4×C79C22×D411yescharacteristic
776C2×C4×C79C22×D411yescharacteristic
777C2×C4×C79C22×D411yescharacteristic
778C2×C4×C79C22×D411yescharacteristic
779C2×C4×C79C22×D411yescharacteristic
780C2×C4×C79C22×D411yescharacteristic
781C2×C4×C79C2511yescharacteristic
782C22⋊D79—81no—
783C22⋊D79—81no—
784C22⋊D79—81no—
785C22⋊D79—81no—
786C22⋊D79—81no—
787C22⋊D79—81no—
788C22⋊D79—81no—
789C2×Dic79—21no—
790C2×Dic79—21no—
791C2×Dic79—21no—
792C2×Dic79—21no—
793C2×Dic79—21no—
794C2×Dic79—81no—
795D316—21no—
796D316—21no—
797D316—21no—
798D316—21no—
799D316—21no—
800D316—21no—
801D316—81no—
802D316—81no—
803D316—81no—
804D316—81no—
805D316—81no—
806C4×D79—81no—
807C4×D79—81no—
808C4×D79—81no—
809C4×D79—81no—
810C4×D79—81no—
811C4×D79—81no—
812C4×D79—81no—
813Dic158—21no—
814Dic158—21no—
815Dic158—21no—
816Dic158—21no—
817Dic158—21no—
818Dic158—21no—
819Dic158—81no—
820C79⋊C8—21no—
821C79⋊C8—21no—
822C79⋊C8—21no—
823C79⋊C8—21no—
824C79⋊C8—21no—
825C79⋊C8—21no—
826C79⋊C8—21no—
827C79⋊C8—21no—
828C22×C79—21no—
829C22×C79—21no—
830C22×C79—21no—
831C22×C79—21no—
832C22×C79—21no—
833C22×C79—21no—
834C22×C79—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—22no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—84no—
847C22×C79—162no—
848C22×C79C23×D411yescharacteristic
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—162no—
859C4×C79—21no—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—21no—
863C4×C79—21no—
864C4×C79—21no—
865C4×C79—21no—
866C4×C79—21no—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—41no—
871C4×C79—41no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79C2×H(5,𝔽2)11yescharacteristic
876C4×C79#58511yescharacteristic
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882#62027—791nomaximal, Sylow
883C2×C79—41no—
884C2×C79—41no—
885C2×C79—41no—
886C2×C79—42no—
887C2×C79—81no—
888C2×C79—81no—
889C2×C79#348811yescharacteristic
890C2×C79#358411yescharacteristic
891C2×C79#358511yescharacteristic
892D79—81no—
893D79—81no—
894D79—81no—
895#3562—791no—
896#3513D7911yescharacteristic, complemented
897#3401—791no—
898#3396—791no—
899#3370—791no—
900#3360—791no—
901#3330—791no—
902#3327—791no—
903#3326—791no—
904#3317—791no—
905#3306—791no—
906#3297—791no—
907#3282—791no—
908#3274—791no—
909#3273—791no—
910#3273—791no—
911#3267—791no—
912#3265—791no—
913#3260—791no—
914#3257—791no—
915#3256—791no—
916#3225—791no—
917#3220—791no—
918#3212—791no—
919#3122—791no—
920#3120—791no—
921#3105—791no—
922#3045—791no—
923#3042—791no—
924#3036—791no—
925#2993—791no—
926C79#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—791no—
928C2×AGL(1,ℤ/8)—791no—
929C2×AGL(1,ℤ/8)—791no—
930C2×AGL(1,ℤ/8)—791no—
931C2×#135—791no—
932C22×SD16—791no—
933#562—1581no—
934#560—1581no—
935#559—791no—
936#559C2×D7911yescharacteristic, complemented
937#556—791no—
938#554C2×D7911yescharacteristic, complemented
939#553—21no—
940#553—1581no—
941#553C2×D7911yescharacteristic
942#552C2×D7911yescharacteristic, complemented
943#551—21no—
944#551—21no—
945#551—1581no—
946#550—791no—
947#548—791no—
948#548—791no—
949#547—791no—
950#547C2×D7911yescharacteristic
951#546—21no—
952#546—791no—
953#546—791no—
954#546C2×D7911yescharacteristic
955#546C2×D7911yescharacteristic
956D42C2×D7911yescharacteristic, complemented
957#542C2×D7911yescharacteristic, complemented
958#541—791no—
959#540—791no—
960#540—1581no—
961#540C2×D7911yescharacteristic
962#539—21no—
963#539—1581no—
964#538—21no—
965#538—1581no—
966#538—1581no—
967#536—791no—
968#535—791no—
969#532—791no—
970#529—791no—
971#529C2×D7911yescharacteristic
972#529C2×D7911yescharacteristic, complemented
973#525—21no—
974C2×#123—21no—
975#520C2×D7911yescharacteristic
976#518C2×D7911yescharacteristic, complemented
977C2×C4×D4C2×D7911yescharacteristic, complemented
978#497—791no—
979#496—791no—
980#495—791no—
981#495—791no—
982#495—791no—
983#493—791no—
984#490—791no—
985#489—791no—
986#488—791no—
987#488—791no—
988#488—791no—
989#487—791no—
990#484—791no—
991#484—791no—
992#483—791no—
993#482—791no—
994#482—791no—
995#481—791no—
996#479—791no—
997#479—791no—
998#479—791no—
999#479—791no—
1000#478—791no—
1001#478—791no—
1002#478—791no—
1003#478—791no—
1004#476—791no—
1005#474—791no—
1006#470—791no—
1007#469—791no—
1008#469—791no—
1009#468—791no—
1010#468—791no—
1011#468—791no—
1012#468—791no—
1013#468—791no—
1014#466—791no—
1015#465—791no—
1016#465—791no—
1017#465—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#463—791no—
1022#463—791no—
1023#463—791no—
1024#463—791no—
1025#463—791no—
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#462—791no—
1035#461—791no—
1036#461—791no—
1037#461—791no—
1038#461—791no—
1039#461—791no—
1040#460—791no—
1041#460—791no—
1042#460—791no—
1043#460—791no—
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459—791no—
1048#452—791no—
1049#452—791no—
1050#452—791no—
1051#452—791no—
1052#452—791no—
1053#451—791no—
1054#450—791no—
1055#449—791no—
1056#449—791no—
1057#449—791no—
1058#449—791no—
1059#449—791no—
1060#448—791no—
1061#447—791no—
1062#447—791no—
1063#447—791no—
1064#447—791no—
1065#447—791no—
1066#446—791no—
1067C8×Q8—791no—
1068#442—791no—
1069#442—791no—
1070#441—791no—
1071#440—791no—
1072C4×Q16—791no—
1073C4×SD16—791no—
1074C4×SD16—791no—
1075C4×SD16—791no—
1076C4×D8—791no—
1077C4×D8—791no—
1078C4×D8—791no—
1079C4×D8—791no—
1080#436—791no—
1081#436—791no—
1082#436—791no—
1083#435—791no—
1084#435—791no—
1085C8×D4—791no—
1086#433—791no—
1087#433—791no—
1088#431—791no—
1089#424—791no—
1090#424—791no—
1091#423—791no—
1092#419—791no—
1093#417—791no—
1094#417—791no—
1095#417—791no—
1096#416—791no—
1097C2×#102—791no—
1098C2×#41—21no—
1099C2×#41—791no—
1100C2×#41—791no—
1101C2×#41—791no—
1102C2×#41—791no—
1103C2×#41C22×D7911yescharacteristic
1104C22×Q8—791no—
1105C22×D4—21no—
1106C22×D4—791no—
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—3162no—
1111AGL(1,ℤ/8)—3162no—
1112AGL(1,ℤ/8)—3162no—
1113AGL(1,ℤ/8)—3162no—
1114#135—3162no—
1115C2×Q16—791no—
1116C2×Q16—791no—
1117C2×Q16—791no—
1118C2×SD16—3162no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16—791no—
1123C2×SD16—791no—
1124C2×SD16—791no—
1125C2×SD16—791no—
1126C2×SD16—791no—
1127C2×SD16—791no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16—791no—
1131C2×D8—791no—
1132C2×D8—791no—
1133C2×D8—791no—
1134C2×D8—791no—
1135C2×D8—791no—
1136C2×D8—791no—
1137C2×D8—791no—
1138C2×D8—791no—
1139C2×D8—791no—
1140C2×M16—791no—
1141C2×M16—791no—
1142C2×M16—791no—
1143C2×M16—791no—
1144C22×C8—791no—
1145C22×C8—791no—
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8C22×D7911yescharacteristic
1149#127—791no—
1150#127—791no—
1151#127—1581no—
1152#127C22×D7911yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#126C22⋊D7911yescharacteristic
1163#126C22⋊D7911yescharacteristic
1164#125—21no—
1165#125—791no—
1166#125—1581no—
1167#125—1581no—
1168#125C22⋊D7911yescharacteristic
1169#125C22×D7911yescharacteristic
1170#125C22×D7911yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—791no—
1174#124—791no—
1175#124—791no—
1176#124—791no—
1177#124—791no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124C22⋊D7911yescharacteristic
1182#124C22×D7911yescharacteristic
1183#124C22×D7911yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123C22⋊D7911yescharacteristic
1208#123C22⋊D7911yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—791no—
1215C22⋊Q8—791no—
1216C22⋊Q8—791no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8C22⋊D7911yescharacteristic
1223C22⋊Q8C22×D7911yescharacteristic
1224C22⋊Q8C22×D7911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—791no—
1232#121—791no—
1233#121—791no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121—1581no—
1243#121—1581no—
1244#121—1581no—
1245#121—1581no—
1246#121—1581no—
1247#121C22⋊D7911yescharacteristic
1248#121C22×D7911yescharacteristic
1249#121C22×D7911yescharacteristic
1250#121C22×D7911yescharacteristic
1251#121C22×D7911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259#120—1581no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—791no—
1263C4×Q8C22×D7911yescharacteristic
1264C4×Q8C22×D7911yescharacteristic
1265C4×Q8C22×D7911yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4C22×D7911yescharacteristic
1286C4×D4C22×D7911yescharacteristic
1287C4×D4C22×D7911yescharacteristic
1288C4×D4C22×D7911yescharacteristic
1289C4×D4C22×D7911yescharacteristic
1290C4×D4C22×D7911yescharacteristic
1291C4×D4C22×D7911yescharacteristic
1292C4×D4C22×D7911yescharacteristic
1293C4×D4C22×D7911yescharacteristic
1294C4×D4C22×D7911yescharacteristic
1295C4×D4C22×D7911yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—1581no—
1300#117—1581no—
1301#117C22×D7911yescharacteristic
1302#117C22×D7911yescharacteristic
1303#117C22×D7911yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—1581no—
1307C2×C4⋊C4C22×D7911yescharacteristic
1308C2×C4⋊C4C22×D7911yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C42C22×D7911yescharacteristic
1317#107—791no—
1318#107—791no—
1319#107—791no—
1320#107—791no—
1321#106—791no—
1322#106—791no—
1323#106—791no—
1324#106—791no—
1325C4⋊C8—791no—
1326C4⋊C8—791no—
1327C4⋊C8—791no—
1328C4⋊C8—791no—
1329C4⋊C8—791no—
1330C4⋊C8—791no—
1331C4⋊C8—791no—
1332C4⋊C8—791no—
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103—791no—
1340#103—791no—
1341#103—791no—
1342#103—791no—
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367C22⋊C8—791no—
1368C22⋊C8—791no—
1369C22⋊C8—791no—
1370C22⋊C8—791no—
1371C22⋊C8—791no—
1372C22⋊C8—791no—
1373#97—791no—
1374#97—791no—
1375C4×C8—791no—
1376C4×C8—791no—
1377C4×C8—791no—
1378C4×C8—791no—
1379C24—21no—
1380C24—21no—
1381C24—1581no—
1382#41—22no—
1383#41—41no—
1384#41—82no—
1385#41—3161no—
1386#41—3161no—
1387#41—3161no—
1388#41—3161no—
1389#41—3161no—
1390#41—3161no—
1391#41—3161no—
1392#41—3161no—
1393C2×Q8—21no—
1394C2×Q8—3161no—
1395C2×Q8—3161no—
1396C2×Q8—791no—
1397C2×Q8—791no—
1398C2×Q8—791no—
1399C2×Q8—1581no—
1400C2×Q8C2×C22⋊D7911yescharacteristic
1401C2×Q8C23×D7911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—82no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—791no—
1419C2×D4—791no—
1420C2×D4—791no—
1421C2×D4—1581no—
1422C2×D4—1581no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4—1581no—
1427C2×D4—1581no—
1428C2×D4—1581no—
1429C2×D4—1581no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4C2×C22⋊D7911yescharacteristic
1434C2×D4C2×C22⋊D7911yescharacteristic
1435C2×D4C2×C22⋊D7911yescharacteristic
1436C2×D4C23×D7911yescharacteristic
1437C2×D4C23×D7911yescharacteristic
1438C2×D4C23×D7911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—82no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4—1581no—
1457C22×C4—1581no—
1458C22×C4—1581no—
1459C22×C4C2×C22⋊D7911yescharacteristic
1460C22×C4C2×C22⋊D7911yescharacteristic
1461C22×C4C23×D7911yescharacteristic
1462C22×C4C23×D7911yescharacteristic
1463C22×C4C23×D7911yescharacteristic
1464Q16—3161no—
1465Q16—3161no—
1466Q16—3161no—
1467SD16—3161no—
1468SD16—3161no—
1469SD16—3161no—
1470SD16—3161no—
1471SD16—3161no—
1472SD16—3161no—
1473SD16—3161no—
1474SD16—3161no—
1475SD16—3161no—
1476SD16—1582no—
1477SD16—1582no—
1478SD16—1582no—
1479D8—3161no—
1480D8—3161no—
1481D8—3161no—
1482D8—3161no—
1483D8—3161no—
1484D8—3161no—
1485D8—1582no—
1486D8—1582no—
1487D8—1582no—
1488M16—3161no—
1489M16—3161no—
1490M16—3161no—
1491M16—3161no—
1492C2×C8—3161no—
1493C2×C8—3161no—
1494C2×C8—791no—
1495C2×C8—791no—
1496C2×C8—791no—
1497C2×C8—791no—
1498C2×C8—791no—
1499C2×C8—791no—
1500C2×C8—791no—
1501C2×C8—791no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—791no—
1514C4⋊C4—791no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4—1581no—
1525C4⋊C4—1581no—
1526C4⋊C4—1581no—
1527C4⋊C4C2×C22⋊D7911yescharacteristic
1528C4⋊C4C2×C22⋊D7911yescharacteristic
1529C4⋊C4C2×C22⋊D7911yescharacteristic
1530C4⋊C4C2×C22⋊D7911yescharacteristic
1531C4⋊C4C2×C22⋊D7911yescharacteristic
1532C4⋊C4C2×C22⋊D7911yescharacteristic
1533C4⋊C4C2×C22⋊D7911yescharacteristic
1534C4⋊C4C2×C22⋊D7911yescharacteristic
1535C4⋊C4C2×C22⋊D7911yescharacteristic
1536C4⋊C4C2×C22⋊D7911yescharacteristic
1537C4⋊C4C23×D7911yescharacteristic
1538C4⋊C4C23×D7911yescharacteristic
1539C4⋊C4C23×D7911yescharacteristic
1540C4⋊C4C23×D7911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4C2×C22⋊D7911yescharacteristic
1580C22⋊C4C2×C22⋊D7911yescharacteristic
1581C22⋊C4C2×C22⋊D7911yescharacteristic
1582C22⋊C4C2×C22⋊D7911yescharacteristic
1583C22⋊C4C2×C22⋊D7911yescharacteristic
1584C22⋊C4C2×C22⋊D7911yescharacteristic
1585C22⋊C4C2×C22⋊D7911yescharacteristic
1586C22⋊C4C2×C22⋊D7911yescharacteristic
1587C22⋊C4C2×C22⋊D7911yescharacteristic
1588C22⋊C4C2×C22⋊D7911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—1581no—
1593C42—1581no—
1594C42—1581no—
1595C42C2×C22⋊D7911yescharacteristic
1596C42C2×C22⋊D7911yescharacteristic
1597C42C23×D7911yescharacteristic
1598C42C23×D7911yescharacteristic
1599C42C23×D7911yescharacteristic
1600C42C23×D7911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—42no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—6321no—
1611C23—6321no—
1612C23—6321no—
1613C23—1581no—
1614C23—1581no—
1615C23—1581no—
1616C23C22×C22⋊D7911yescharacteristic
1617C23C22×C22⋊D7911yescharacteristic
1618C23C22×C22⋊D7911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—41no—
1622Q8—81no—
1623Q8—6321no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8—1581no—
1628Q8—1581no—
1629Q8—1581no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—41no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—6321no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—6321no—
1658D4—6321no—
1659D4—1581no—
1660D4—1581no—
1661D4—1581no—
1662D4—1581no—
1663D4—1581no—
1664D4—1581no—
1665D4#1457920712yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—6321no—
1691C2×C4—6321no—
1692C2×C4—6321no—
1693C2×C4—6321no—
1694C2×C4—6321no—
1695C2×C4—6321no—
1696C2×C4—6321no—
1697C2×C4—6321no—
1698C2×C4—1581no—
1699C2×C4—1581no—
1700C2×C4—1581no—
1701C2×C4—1581no—
1702C2×C4—1581no—
1703C2×C4C22×C22⋊D7911yescharacteristic
1704C2×C4C22×C22⋊D7911yescharacteristic
1705C2×C4C22×C22⋊D7911yescharacteristic
1706C2×C4C22×C22⋊D7911yescharacteristic
1707C2×C4C22×C22⋊D7911yescharacteristic
1708C2×C4C22×C22⋊D7911yescharacteristic
1709C2×C4C22×C22⋊D7911yescharacteristic
1710C2×C4C22×C22⋊D7911yescharacteristic
1711C2×C4C22×C22⋊D7911yescharacteristic
1712C2×C4C22×C22⋊D7911yescharacteristic
1713C2×C4C22×C22⋊D7911yescharacteristic
1714C2×C4C24×D7911yescharacteristic
1715C8—1581no—
1716C8—1581no—
1717C8—1581no—
1718C8—1581no—
1719C8—1581no—
1720C8—1581no—
1721C8—1581no—
1722C8—1581no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—84no—
1742C22—162no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—3161no—
1748C22—3161no—
1749C22—3161no—
1750C22—3161no—
1751C22—3161no—
1752C22—12642no—
1753C22C23×C22⋊D7911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—3161no—
1771C4—3161no—
1772C4—3161no—
1773C4—3161no—
1774C4—3161no—
1775C4C2×#1457920711yescharacteristic
1776C4#1909939911yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—6321no—
1784C2—6321no—
1785C2—6321no—
1786C2#2377706911yescharacteristic
1787C2#2377817111yescharacteristic
1788C2#2377818011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3513C2
socleC22×C79C23×D4
hypercenter#3513D79
hypocenterC79#62027
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #23777988C2semidirect
2. #23776460C2semidirect
3. #23776408C2semidirect
4. #23776153C2semidirect
5. #23776049C2semidirect
6. #23775699C2semidirect
7. #23775662C2semidirect
8. #23775647C2semidirect
9. #23775520C2semidirect
10. #23775355C2semidirect
11. #23775244C2semidirect
12. #23775103C2semidirect
13. #23775016C2semidirect
14. #23775007C2semidirect
15. #23775007C2semidirect
16. #23774921C2semidirect
17. #23774891C2semidirect
18. #23774846C2semidirect
19. #23774811C2semidirect
20. #23774796C2semidirect
21. #23774503C2semidirect
22. #23774444C2semidirect
23. #23774372C2semidirect
24. #23773643C2semidirect
25. #23773614C2semidirect
26. #23773447C2semidirect
27. #23772939C2semidirect
28. #23772912C2semidirect
29. #23772864C2semidirect
30. #23772549C2semidirect
31. C79×#3513C2semidirect
34. C2×#14579187C22semidirect
37. C22×#11929612C22semidirect
40. #19099298C22semidirect
41. #19099286C22semidirect
46. #19099222C22semidirect
47. #19099218C22semidirect
48. #19099209C22semidirect
49. #19099209C22semidirect
50. #19099175C22semidirect
51. #19099168C22semidirect
56. #19099139C22semidirect
57. #19099132C22semidirect
58. #19099113C22semidirect
59. #19099097C22semidirect
60. #19098958C22semidirect
62. #19098945C22semidirect
63. #19098945C22semidirect
64. #19098945C22semidirect
66. #19098929C22semidirect
67. #19098925C22semidirect
68. #19098920C22semidirect
69. #19098920C22semidirect
70. #19098920C22semidirect
71. #19098915C22semidirect
72. #19098898C22semidirect
73. #19098898C22semidirect
74. #19098893C22semidirect
75. #19098887C22semidirect
76. #19098887C22semidirect
77. #19098881C22semidirect
78. #19098870C22semidirect
79. #19098867C22semidirect
80. #19098867C22semidirect
81. #19098867C22semidirect
82. #19098863C22semidirect
83. #19098863C22semidirect
84. #19098863C22semidirect
85. #19098860C22semidirect
86. #19098850C22semidirect
87. #19098840C22semidirect
88. #19098819C22semidirect
90. #19098814C22semidirect
91. #19098811C22semidirect
92. #19098811C22semidirect
93. #19098807C22semidirect
94. #19098807C22semidirect
95. #19098807C22semidirect
97. #19098794C22semidirect
98. #19098790C22semidirect
99. #19098790C22semidirect
100. #19098785C22semidirect
101. #19098785C22semidirect
102. #19098782C22semidirect
107. #19098778C22semidirect
108. #19098778C22semidirect
109. #19098778C22semidirect
110. #19098778C22semidirect
111. #19098778C22semidirect
112. #19098778C22semidirect
113. #19098775C22semidirect
114. #19098775C22semidirect
115. #19098775C22semidirect
116. #19098773C22semidirect
117. #19098768C22semidirect
118. #19098768C22semidirect
119. #19098768C22semidirect
120. #19098768C22semidirect
121. #19098768C22semidirect
122. #19098763C22semidirect
123. #19098763C22semidirect
124. #19098760C22semidirect
125. #19098760C22semidirect
128. #19098758C22semidirect
129. #19098758C22semidirect
132. #19098723C22semidirect
133. #19098723C22semidirect
134. #19098723C22semidirect
135. #19098718C22semidirect
136. #19098714C22semidirect
139. #19098706C22semidirect
140. #19098706C22semidirect
141. #19098706C22semidirect
142. #19098701C22semidirect
145. #19098697C22semidirect
146. #19098696C22semidirect
147. #19098696C22semidirect
148. #19098694C22semidirect
149. Q8×C79⋊C8C22semidirect
150. #19098673C22semidirect
151. #19098673C22semidirect
152. #19098668C22semidirect
153. #19098663C22semidirect
154. C4×#11929614C22semidirect
155. C4×#11929612C22semidirect
156. C4×#11929612C22semidirect
157. C4×#11929612C22semidirect
160. C4×#11929609C22semidirect
161. C4×#11929609C22semidirect
162. #19098641C22semidirect
163. #19098641C22semidirect
164. #19098641C22semidirect
165. #19098635C22semidirect
166. #19098635C22semidirect
167. D4×C79⋊C8C22semidirect
168. #19098624C22semidirect
169. #19098624C22semidirect
170. #19098616C22semidirect
171. #19098590C22semidirect
172. #19098590C22semidirect
173. #19098587C22semidirect
174. #19098571C22semidirect
175. #19098562C22semidirect
176. #19098562C22semidirect
177. #19098562C22semidirect
178. #19098557C22semidirect
179. C2×#14579081C22semidirect
180. #559×C79C22semidirect
181. #554×C79C22semidirect
184. #552×C79C22semidirect
191. D42×C79C22semidirect
192. #542×C79C22semidirect
197. #529×C79C22semidirect
201. #518×C79C22semidirect
202. C2×C4×D4×C79C22semidirect
896. #3513D79semidirect
926. C79#62027semidirect
936. #559C2×D79semidirect
938. #554C2×D79semidirect
942. #552C2×D79semidirect
956. D42C2×D79semidirect
957. #542C2×D79semidirect
972. #529C2×D79semidirect
976. #518C2×D79semidirect
977. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779882
#237764602
#237764082
#237761532
#237760492
#237756992
#237756622
#237756472
#237755202
#237753552
#237752442
#237751032
#237750162
#237750072
#237749212
#237748912
#237748462
#237748112
#237747962
#237745032
#237744442
#237743722
#237736432
#237736142
#237734472
#237729392
#237729122
#237728642
#237725492
C79×#35132
#6202779