Finite Group Databasebeta

← #35183762

Subgroups — #35183762

Order 20224.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777914C211yesmaximal, characteristic, complemented
2#23777408C211yesmaximal, characteristic, complemented
3#23776464C211yesmaximal, characteristic, complemented
4#23776461C211yesmaximal, characteristic, complemented
5#23776218C211yesmaximal, characteristic, complemented
6#23776215C211yesmaximal, characteristic, complemented
7#23775631C211yesmaximal, characteristic, complemented
8#23775624C211yesmaximal, characteristic, complemented
9#23775562C211yesmaximal, characteristic, complemented
10#23775549C211yesmaximal, characteristic, complemented
11#23775468C211yesmaximal, characteristic, complemented
12#23775461C211yesmaximal, characteristic, complemented
13#23775053C211yesmaximal, characteristic, complemented
14#23775050C211yesmaximal, characteristic, complemented
15#23774913C211yesmaximal, characteristic, complemented
16#23774910C211yesmaximal, characteristic, complemented
17#23774889C211yesmaximal, characteristic, complemented
18#23774858C211yesmaximal, characteristic, complemented
19#23774855C211yesmaximal, characteristic, complemented
20#23774782C211yesmaximal, characteristic, complemented
21#23774490C211yesmaximal, characteristic, complemented
22#23774489C211yesmaximal, characteristic, complemented
23#23774400C211yesmaximal, characteristic, complemented
24#23773627C211yesmaximal, characteristic, complemented
25#23773622C211yesmaximal, characteristic, complemented
26#23773544C211yesmaximal, characteristic, complemented
27#23772918C211yesmaximal, characteristic, complemented
28#23772916C211yesmaximal, characteristic, complemented
29#23772892C211yesmaximal, characteristic, complemented
30#23772571C211yesmaximal, characteristic, complemented
31C79×#3265C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C2×#14579190C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099308—21no—
37#19099306—21no—
38#19099299C2211yescharacteristic
39#19099296C2211yescharacteristic
40Q8×Dic158C2211yescharacteristic, complemented
41#19099284—21no—
42#19099284C2211yescharacteristic, complemented
43#19099283—21no—
44#19099283C2211yescharacteristic, complemented
45#19099282—21no—
46#19099282C2211yescharacteristic, complemented
47#19099277—21no—
48#19099277C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50#19099222C2211yescharacteristic
51#19099220C2211yescharacteristic, complemented
52#19099219C2211yescharacteristic
53#19099210C2211yescharacteristic
54#19099207—21no—
55#19099207C2211yescharacteristic
56#19099200—21no—
57D4×C22⋊D79C2211yescharacteristic
58#19099182—21no—
59#19099182C2211yescharacteristic, complemented
60#19099180—21no—
61#19099180C2211yescharacteristic
62#19099180C2211yescharacteristic, complemented
63#19099178C2211yescharacteristic
64#19099148—21no—
65#19099148—21no—
66#19099145—21no—
67#19099130C2211yescharacteristic
68#19099126C2211yescharacteristic
69#19099122—21no—
70#19099115—21no—
71#19099115C2211yescharacteristic, complemented
72#19099108C2211yescharacteristic
73#19099093—21no—
74#19099093C2211yescharacteristic
75C2×#14579148C2211yescharacteristic
76#19099041C2211yescharacteristic, complemented
77#19099039C2211yescharacteristic, complemented
78#41×Dic79C2211yescharacteristic, complemented
79#19098954C2211yescharacteristic, complemented
80#19098954C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic
82#19098946C2211yescharacteristic, complemented
83#19098945C2211yescharacteristic, complemented
84#19098923C2211yescharacteristic, complemented
85#19098921C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098909C2211yescharacteristic
89#19098908C2211yescharacteristic
90#19098906C2211yescharacteristic, complemented
91#19098905C2211yescharacteristic, complemented
92#19098888C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic
94#19098884C2211yescharacteristic
95#19098884C2211yescharacteristic, complemented
96#19098859C2211yescharacteristic, complemented
97#19098857C2211yescharacteristic, complemented
98#19098857C2211yescharacteristic, complemented
99#19098856C2211yescharacteristic, complemented
100#19098846C2211yescharacteristic, complemented
101#19098843C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098841C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098841C2211yescharacteristic, complemented
106#19098811C2211yescharacteristic, complemented
107#19098809C2211yescharacteristic, complemented
108#19098808C2211yescharacteristic, complemented
109#19098807C2211yescharacteristic
110#19098807C2211yescharacteristic, complemented
111#19098807C2211yescharacteristic, complemented
112#19098806C2211yescharacteristic
113#19098804C2211yescharacteristic, complemented
114#19098803C2211yescharacteristic, complemented
115#19098796C2211yescharacteristic
116#19098786C2211yescharacteristic, complemented
117#19098785C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098784C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098783C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098783C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098776C2211yescharacteristic, complemented
131#19098776C2211yescharacteristic, complemented
132#19098776C2211yescharacteristic, complemented
133#19098776C2211yescharacteristic, complemented
134#19098776C2211yescharacteristic, complemented
135#19098767C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic
139#19098761C2211yescharacteristic
140#19098761C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098760C2211yescharacteristic
143#19098756C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098722C2211yescharacteristic, complemented
146#19098721C2211yescharacteristic, complemented
147#19098720C2211yescharacteristic, complemented
148#19098719C2211yescharacteristic, complemented
149#19098718C2211yescharacteristic, complemented
150#19098714C2211yescharacteristic
151#19098714C2211yescharacteristic, complemented
152#19098712C2211yescharacteristic, complemented
153#19098708C2211yescharacteristic, complemented
154#19098706C2211yescharacteristic, complemented
155#19098705C2211yescharacteristic, complemented
156#19098700C2211yescharacteristic
157#19098695C2211yescharacteristic, complemented
158#19098691C2211yescharacteristic, complemented
159#19098690C2211yescharacteristic, complemented
160#19098675C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098671C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098666C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167C4×#11929614C2211yescharacteristic, complemented
168#19098655C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic, complemented
170C4×#11929612C2211yescharacteristic, complemented
171#19098641C2211yescharacteristic, complemented
172#19098638C2211yescharacteristic, complemented
173#19098637C2211yescharacteristic, complemented
174#19098634C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176#19098625C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098586C2211yescharacteristic, complemented
182#19098573C2211yescharacteristic, complemented
183#19098568C2211yescharacteristic
184#19098568C2211yescharacteristic, complemented
185#19098566C2211yescharacteristic, complemented
186#19098560C2211yescharacteristic, complemented
187#19098556C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C79C2211yescharacteristic
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic
192#496×C79C2211yescharacteristic
193#468×C79C2211yescharacteristic, complemented
194#466×C79C2211yescharacteristic
195#463×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#449×C79C2211yescharacteristic, complemented
199#448×C79C2211yescharacteristic
200#447×C79C2211yescharacteristic, complemented
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79C2311yescharacteristic
210#14579192—42no—
211#14579191—42no—
212#14579190—42no—
213C2×Dic316C2311yescharacteristic
214C2×Dic316C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227SD16×D79—42no—
228C2×#11929609C2311yescharacteristic
229C2×#11929608C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×C8×D79C2311yescharacteristic
233#14579161—21no—
234#14579161C2311yescharacteristic
235#14579160—21no—
236#14579160—21no—
237#14579160C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579159—21no—
241#14579159C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579156D411yescharacteristic
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154D411yescharacteristic
256#14579151—21no—
257#14579151D411yescharacteristic
258#14579149C2311yescharacteristic
259#14579148—21no—
260#14579148—21no—
261#14579148—21no—
262#14579148—21no—
263#14579148—21no—
264#14579148—21no—
265#14579148—21no—
266#14579148—21no—
267#14579148C2311yescharacteristic
268#14579148C2311yescharacteristic
269#14579148C2311yescharacteristic
270#14579148C2311yescharacteristic
271#14579148C2311yescharacteristic
272#14579148C2311yescharacteristic
273#14579147—21no—
274#14579147—21no—
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147D411yescharacteristic
282#14579145—21no—
283#14579145D411yescharacteristic
284#14579144—21no—
285#14579144—21no—
286#14579143—21no—
287#14579143—21no—
288#14579142—21no—
289#14579142—21no—
290#14579142—21no—
291#14579142—21no—
292#14579142—21no—
293#14579142D411yescharacteristic
294#14579141C2311yescharacteristic
295#14579140—21no—
296#14579140—21no—
297#14579140—21no—
298#14579140C2311yescharacteristic
299#14579140C2311yescharacteristic
300#14579140C2311yescharacteristic
301#14579139—21no—
302#14579138—21no—
303#14579138—21no—
304#14579138—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138D411yescharacteristic
309#14579137—21no—
310#14579137C2311yescharacteristic
311#14579135C2311yescharacteristic
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133D411yescharacteristic
321#14579132—21no—
322#14579132—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132C2311yescharacteristic
326#14579132C2311yescharacteristic
327#14579130—21no—
328#14579130—21no—
329#14579130—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335Q8×Dic79—21no—
336Q8×Dic79—21no—
337Q8×Dic79C2311yescharacteristic
338Q8×Dic79C2311yescharacteristic
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342C4×Dic158—21no—
343C4×Dic158—21no—
344C4×Dic158C2311yescharacteristic
345C4×Dic158C2311yescharacteristic
346C4×Dic158C2311yescharacteristic
347#14579126—21no—
348#14579126—21no—
349#14579126—21no—
350#14579126—21no—
351#14579126C2311yescharacteristic
352#14579126C2311yescharacteristic
353D4×Dic79—21no—
354D4×Dic79—21no—
355D4×Dic79—21no—
356D4×Dic79—21no—
357D4×Dic79C2311yescharacteristic
358D4×Dic79C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79C2311yescharacteristic
366C4×C22⋊D79C2311yescharacteristic
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120—21no—
370#14579120—21no—
371#14579120—21no—
372#14579120C2311yescharacteristic
373#14579120C2311yescharacteristic
374#14579120C2311yescharacteristic
375#14579119—21no—
376#14579119C2311yescharacteristic
377#14579118—21no—
378#14579118C2311yescharacteristic
379#14579117—21no—
380#14579117—21no—
381#14579117—21no—
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C2×C22⋊Dic79—21no—
385C22⋊C4×D79—21no—
386C2×C4×Dic79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579071C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C4×C79⋊C8C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444AGL(1,ℤ/8)×C79—42no—
445C2×SD16×C79—42no—
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C2×D8×C79C2311yescharacteristic
455C2×M16×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457#127×C79C2311yescharacteristic
458#124×C79—21no—
459#124×C79C2311yescharacteristic
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79C2311yescharacteristic
462#121×C79—21no—
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468#120×C79—21no—
469C4×Q8×C79C2311yescharacteristic
470C4×D4×C79—21no—
471C4×D4×C79C2311yescharacteristic
472C4×D4×C79C2311yescharacteristic
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929623—41no—
488#11929623—41no—
489#11929623—82no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—41no—
497C2×Dic158—41no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×Dic158C2411yescharacteristic
502Q8×D79—22no—
503Q8×D79—41no—
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
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—82no—
516C2×C22⋊D79C2×D411yescharacteristic
517C2×C22⋊D79C2×D411yescharacteristic
518D4×D79—41no—
519D4×D79—41no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79C2×D411yescharacteristic
527C22×Dic79C2×D411yescharacteristic
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79C2411yescharacteristic
532Dic316—41no—
533Dic316—41no—
534#11929614—22no—
535#11929614—22no—
536#11929614—41no—
537#11929614—41no—
538#11929613—41no—
539#11929612—41no—
540#11929612—41no—
541#11929612—41no—
542#11929612—41no—
543#11929612—41no—
544#11929611—22no—
545#11929611—41no—
546#11929609—41no—
547#11929608—41no—
548#11929608—41no—
549#11929607—41no—
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C2×C79⋊C8C2411yescharacteristic
554C8×D79—41no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79C2×D411yescharacteristic
563C4⋊Dic79C2×D411yescharacteristic
564C4⋊Dic79C2×D411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4C2×D411yescharacteristic
583Dic79⋊C4C2×D411yescharacteristic
584Dic79⋊C4C2×D411yescharacteristic
585Dic79⋊C4C2×D411yescharacteristic
586Dic79⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
623(C2×D79)⋊C4C2×D411yescharacteristic
624(C2×D79)⋊C4C2×D411yescharacteristic
625(C2×D79)⋊C4C2×D411yescharacteristic
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C24×C79—21no—
644C24×C79—21no—
645#41×C79—22no—
646#41×C79—41no—
647C2×Q8×C79—21no—
648C2×Q8×C79—22no—
649C2×Q8×C79—41no—
650C2×Q8×C79C2411yescharacteristic
651C2×Q8×C79C2411yescharacteristic
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79—41no—
663C2×D4×C79—41no—
664C2×D4×C79—82no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C2×D4×C79C2411yescharacteristic
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675SD16×C79—22no—
676SD16×C79—22no—
677SD16×C79—22no—
678SD16×C79—41no—
679SD16×C79—41no—
680SD16×C79—41no—
681D8×C79—41no—
682D8×C79—41no—
683D8×C79—41no—
684M16×C79—41no—
685C2×C8×C79—41no—
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C2×C8×C79C2411yescharacteristic
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79C2×D411yescharacteristic
703C22⋊C4×C79C2×D411yescharacteristic
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—21no—
709C23×C79—21no—
710C23×C79—42no—
711C23×C79—81no—
712C23×C79—81no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79—81no—
716C23×C79C22×D411yescharacteristic
717C23×C79C22×D411yescharacteristic
718C22×D79—21no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79C22×D411yescharacteristic
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—42no—
727Q8×C79H(5,𝔽2)12yes—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—41no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
743D4×C79—81no—
744D4×C79—81no—
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—42no—
754C2×C4×C79—42no—
755C2×C4×C79—81no—
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C22×D411yescharacteristic
760C2×C4×C79C2511yescharacteristic
761C22⋊D79—41no—
762C22⋊D79—41no—
763C22⋊D79—42no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—41no—
781C2×Dic79—41no—
782C2×Dic79—42no—
783C2×Dic79—81no—
784C2×Dic79—81no—
785C2×Dic79—81no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790C2×Dic79C22×D411yescharacteristic
791C2×Dic79C22×D411yescharacteristic
792C2×Dic79C22×D411yescharacteristic
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795D316—21no—
796D316—21no—
797C4×D79—21no—
798C4×D79—21no—
799C4×D79—42no—
800C4×D79—81no—
801C4×D79—81no—
802Dic158—21no—
803Dic158—21no—
804Dic158—21no—
805Dic158—21no—
806Dic158—21no—
807Dic158—21no—
808Dic158—41no—
809Dic158—42no—
810Dic158—81no—
811Dic158—81no—
812Dic158—81no—
813Dic158—81no—
814Dic158—81no—
815C8×C79—21no—
816C8×C79—21no—
817C8×C79—21no—
818C8×C79—21no—
819C79⋊C8—21no—
820C79⋊C8—21no—
821C79⋊C8—21no—
822C79⋊C8—21no—
823C22×C79—21no—
824C22×C79—21no—
825C22×C79—21no—
826C22×C79—21no—
827C22×C79—21no—
828C22×C79—21no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—41no—
838C22×C79—41no—
839C22×C79—41no—
840C22×C79—41no—
841C22×C79—162no—
842C22×C79—162no—
843C22×C79C23×D411yescharacteristic
844C2×D79—21no—
845C2×D79—21no—
846C2×D79—21no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—162no—
851C4×C79—21no—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—22no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79C2×H(5,𝔽2)11yescharacteristic
860C4×C79#58511yescharacteristic
861Dic79—21no—
862Dic79—21no—
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79—41no—
874Dic79—41no—
875#62092—791nomaximal, Sylow
876C2×C79—41no—
877C2×C79—41no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79—81no—
881C2×C79—81no—
882C2×C79#348811yescharacteristic
883C2×C79#358511yescharacteristic
884C2×C79#358611yescharacteristic
885D79—41no—
886D79—81no—
887#3558—791no—
888#3518—791no—
889#3401—791no—
890#3401—791no—
891#3375—791no—
892#3375—791no—
893#3324—791no—
894#3324—791no—
895#3319—791no—
896#3319—791no—
897#3313—791no—
898#3313—791no—
899#3277—791no—
900#3277—791no—
901#3266—791no—
902#3266—791no—
903#3265—791no—
904#3265D7911yescharacteristic, complemented
905#3262—791no—
906#3262—791no—
907#3254—791no—
908#3224—791no—
909#3224—791no—
910#3215—791no—
911#3121—791no—
912#3121—791no—
913#3115—791no—
914#3043—791no—
915#3043—791no—
916#3040—791no—
917#2995—791no—
918C79#6209211yescharacteristic, complemented, Sylow
919C2×#137—791no—
920C2×#137—791no—
921C2×#137—791no—
922C2×AGL(1,ℤ/8)C2×D7911yescharacteristic
923C22×SD16—791no—
924C22×SD16C2×D7911yescharacteristic, complemented
925#562—1581no—
926H(3,𝔽4)—1581no—
927#559—791no—
928#559—791no—
929Q82—791no—
930#556—791no—
931#556—791no—
932#556—791no—
933#556—1581no—
934#556—1581no—
935#556—1581no—
936#555—791no—
937#555—1581no—
938D4×Q8—791no—
939#548—791no—
940#548—791no—
941#548—791no—
942#548C2×D7911yescharacteristic, complemented
943#546—791no—
944#546—791no—
945#546—1581no—
946#546—1581no—
947D42—791no—
948D42C2×D7911yescharacteristic
949#542—791no—
950#542—791no—
951#542—791no—
952#542—791no—
953#542—1581no—
954#542—1581no—
955#538—1581no—
956#538—1581no—
957#538—1581no—
958#535—791no—
959#535—791no—
960#534—1581no—
961#533—791no—
962#533—1581no—
963#532—791no—
964#529—791no—
965#529—1581no—
966C2×#124—791no—
967#519—791no—
968#519—791no—
969C4×#41—791no—
970#497—791no—
971#497—791no—
972#496—791no—
973#496C2×D7911yescharacteristic
974#495—791no—
975#495—791no—
976#489—791no—
977#489—791no—
978#489—791no—
979#489—791no—
980#486—791no—
981#486—791no—
982#485—791no—
983#485—791no—
984#482—791no—
985#482—791no—
986#482—791no—
987#482—791no—
988#477—791no—
989#477—791no—
990#477—791no—
991#477—791no—
992#475—791no—
993#474—791no—
994#474—791no—
995#474—791no—
996#474—791no—
997#474—791no—
998#468—791no—
999#468—791no—
1000#468—791no—
1001#468—791no—
1002#468—791no—
1003#468—791no—
1004#468—791no—
1005#468C2×D7911yescharacteristic, complemented
1006#467—791no—
1007#467—791no—
1008#466—791no—
1009#466C2×D7911yescharacteristic
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464—791no—
1018#464—791no—
1019#464—791no—
1020#464—791no—
1021#464—791no—
1022#464—791no—
1023#464—791no—
1024#463—791no—
1025#463—791no—
1026#463—791no—
1027#463—791no—
1028#463—791no—
1029#463C2×D7911yescharacteristic, complemented
1030#461—791no—
1031#461—791no—
1032#460—791no—
1033#460—791no—
1034#460—791no—
1035#460—791no—
1036#460—791no—
1037#460—791no—
1038#460C2×D7911yescharacteristic
1039#459—791no—
1040#452—791no—
1041#452—791no—
1042#451—791no—
1043#451—791no—
1044#451—791no—
1045#451—791no—
1046#450—791no—
1047#450—791no—
1048#450—791no—
1049#450C2×D7911yescharacteristic
1050#449—791no—
1051#449—791no—
1052#449—791no—
1053#449C2×D7911yescharacteristic, complemented
1054#448—791no—
1055#448C2×D7911yescharacteristic
1056#447—791no—
1057#447C2×D7911yescharacteristic, complemented
1058#446—791no—
1059#446—791no—
1060#442—791no—
1061#442—791no—
1062#441—791no—
1063#441—791no—
1064#440—791no—
1065#440—791no—
1066#440—791no—
1067#440C2×D7911yescharacteristic, complemented
1068C4×Q16—791no—
1069C4×Q16—791no—
1070C4×SD16—791no—
1071C4×SD16—791no—
1072#436—791no—
1073#436—791no—
1074#435—791no—
1075#435—791no—
1076#435—791no—
1077#435C2×D7911yescharacteristic, complemented
1078#433—791no—
1079#433—791no—
1080#432—791no—
1081#424—791no—
1082#424—791no—
1083#423—791no—
1084#419—791no—
1085#418—791no—
1086#418—791no—
1087#418—791no—
1088#416—791no—
1089#416—791no—
1090C2×#41—791no—
1091C2×#41—791no—
1092C2×#41—1581no—
1093C2×#41C22×D7911yescharacteristic
1094C22×Q8—791no—
1095C22×Q8—791no—
1096C22×Q8C22×D7911yescharacteristic
1097C22×D4—21no—
1098C22×D4—791no—
1099C22×D4—1581no—
1100C22×D4C22×D7911yescharacteristic
1101C22×D4C22×D7911yescharacteristic
1102#137—3162no—
1103#137—3162no—
1104#137—3162no—
1105AGL(1,ℤ/8)—42no—
1106C2×Q16—791no—
1107C2×Q16—791no—
1108C2×Q16—791no—
1109C2×Q16—791no—
1110C2×Q16—791no—
1111C2×Q16—791no—
1112C2×SD16—42no—
1113C2×SD16—3162no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×SD16C22×D7911yescharacteristic
1125C2×SD16C22×D7911yescharacteristic
1126C2×SD16C22×D7911yescharacteristic
1127C2×SD16C22×D7911yescharacteristic
1128C2×D8—791no—
1129C2×D8C22×D7911yescharacteristic
1130C2×D8C22×D7911yescharacteristic
1131C2×D8C22×D7911yescharacteristic
1132C2×M16—791no—
1133C2×M16—791no—
1134C2×M16—791no—
1135C2×M16C22×D7911yescharacteristic
1136C22×C8—791no—
1137C22×C8C22×D7911yescharacteristic
1138C4⋊Q8—791no—
1139C4⋊Q8—791no—
1140C4⋊Q8—791no—
1141C4⋊Q8—791no—
1142C4⋊Q8—791no—
1143C4⋊Q8—1581no—
1144C4⋊Q8—1581no—
1145C4⋊Q8—1581no—
1146C4⋊Q8—1581no—
1147#127—791no—
1148#127—791no—
1149#127C22×D7911yescharacteristic
1150#126—791no—
1151#126—791no—
1152#126—1581no—
1153#126—1581no—
1154#126—1581no—
1155#126—1581no—
1156#126—1581no—
1157#126—1581no—
1158#126—1581no—
1159#126—1581no—
1160#126—1581no—
1161#126—1581no—
1162#125—791no—
1163#125—1581no—
1164#124—21no—
1165#124—791no—
1166#124—791no—
1167#124—791no—
1168#124—791no—
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—1581no—
1174#124—1581no—
1175#124—1581no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124C22×D7911yescharacteristic
1190#123—791no—
1191#123—791no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202C22⋊Q8—21no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—791no—
1207C22⋊Q8—791no—
1208C22⋊Q8—791no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8C22×D7911yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—791no—
1224#121—791no—
1225#121—791no—
1226#121—791no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121C22×D7911yescharacteristic
1240#121C22×D7911yescharacteristic
1241#121C22×D7911yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251#120—1581no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8—791no—
1258C4×Q8—791no—
1259C4×Q8—791no—
1260C4×Q8—791no—
1261C4×Q8—791no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8—1581no—
1266C4×Q8—1581no—
1267C4×Q8—1581no—
1268C4×Q8—1581no—
1269C4×Q8—1581no—
1270C4×Q8C22×D7911yescharacteristic
1271C4×D4—21no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—1581no—
1280C4×D4—1581no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4C22×D7911yescharacteristic
1289C4×D4C22×D7911yescharacteristic
1290#117—791no—
1291#117—791no—
1292#117—791no—
1293#117—791no—
1294#117—791no—
1295#117—1581no—
1296#117—1581no—
1297#117—1581no—
1298#117—1581no—
1299#117—1581no—
1300#117—1581no—
1301#117—1581no—
1302#117—1581no—
1303C2×C22⋊C4—1581no—
1304C2×C22⋊C4—1581no—
1305C2×C22⋊C4—1581no—
1306C2×C22⋊C4—1581no—
1307C2×C42—791no—
1308C2×C42—1581no—
1309#107—791no—
1310#107—791no—
1311#107—791no—
1312#107—791no—
1313#107—791no—
1314#107C22×D7911yescharacteristic
1315#106—791no—
1316#106—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8—791no—
1320C4⋊C8—791no—
1321C4⋊C8—791no—
1322C4⋊C8—791no—
1323C4⋊C8—791no—
1324C4⋊C8—791no—
1325C4⋊C8—791no—
1326C4⋊C8C22×D7911yescharacteristic
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103—791no—
1332#103—791no—
1333#103—791no—
1334#103—791no—
1335#103—791no—
1336#103—791no—
1337#103—791no—
1338#103—791no—
1339#103C22×D7911yescharacteristic
1340#103C22×D7911yescharacteristic
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102—791no—
1347#102—791no—
1348#102—791no—
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102C22×D7911yescharacteristic
1356#102C22×D7911yescharacteristic
1357#102C22×D7911yescharacteristic
1358#102C22×D7911yescharacteristic
1359C22⋊C8—791no—
1360C22⋊C8—791no—
1361C22⋊C8—791no—
1362C22⋊C8—791no—
1363C22⋊C8C22×D7911yescharacteristic
1364C22⋊C8C22×D7911yescharacteristic
1365#97—791no—
1366#97—791no—
1367#97—791no—
1368#97C22×D7911yescharacteristic
1369C4×C8—791no—
1370C4×C8—791no—
1371C24—21no—
1372C24—21no—
1373C24—1581no—
1374#41—22no—
1375#41—41no—
1376#41—3161no—
1377#41—3161no—
1378#41—3161no—
1379#41—3161no—
1380#41—6322no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—3161no—
1385C2×Q8—3161no—
1386C2×Q8—3161no—
1387C2×Q8—791no—
1388C2×Q8—791no—
1389C2×Q8—791no—
1390C2×Q8—791no—
1391C2×Q8—1581no—
1392C2×Q8—1581no—
1393C2×Q8—1581no—
1394C2×Q8—1581no—
1395C2×Q8—1582no—
1396C2×Q8—1581no—
1397C2×Q8—1581no—
1398C2×Q8C23×D7911yescharacteristic
1399C2×Q8C23×D7911yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—82no—
1413C2×D4—3161no—
1414C2×D4—3161no—
1415C2×D4—791no—
1416C2×D4—791no—
1417C2×D4—791no—
1418C2×D4—6322no—
1419C2×D4—1581no—
1420C2×D4—1581no—
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×D4D4×D7911yescharacteristic
1430C2×D4C23×D7911yescharacteristic
1431C2×D4C23×D7911yescharacteristic
1432C2×D4C23×D7911yescharacteristic
1433C2×D4C23×D7911yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—791no—
1438C22×C4—791no—
1439C22×C4—791no—
1440C22×C4—1581no—
1441C22×C4—1581no—
1442C22×C4—1581no—
1443C22×C4—1581no—
1444C22×C4—1581no—
1445C22×C4—1581no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4C23×D7911yescharacteristic
1450C22×C4C23×D7911yescharacteristic
1451Q16—3161no—
1452Q16—3161no—
1453Q16—3161no—
1454Q16—3161no—
1455Q16—1582no—
1456Q16—1582no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—3161no—
1464SD16—3161no—
1465SD16—3161no—
1466SD16—3161no—
1467SD16—3161no—
1468SD16—3161no—
1469SD16—3161no—
1470SD16—1582no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—3161no—
1475M16—41no—
1476M16—3161no—
1477M16—3161no—
1478M16—3161no—
1479C2×C8—41no—
1480C2×C8—3161no—
1481C2×C8—791no—
1482C2×C8—791no—
1483C2×C8—791no—
1484C2×C8—791no—
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C2×C8C23×D7911yescharacteristic
1488C2×C8C23×D7911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—791no—
1496C4⋊C4—791no—
1497C4⋊C4—791no—
1498C4⋊C4—791no—
1499C4⋊C4—791no—
1500C4⋊C4—791no—
1501C4⋊C4—791no—
1502C4⋊C4—791no—
1503C4⋊C4—791no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4—1581no—
1523C4⋊C4—1581no—
1524C4⋊C4D4×D7911yescharacteristic
1525C4⋊C4C23×D7911yescharacteristic
1526C4⋊C4C23×D7911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊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⋊C4D4×D7911yescharacteristic
1573C22⋊C4D4×D7911yescharacteristic
1574C42—21no—
1575C42—791no—
1576C42—791no—
1577C42—791no—
1578C42—791no—
1579C42—791no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42—1581no—
1585C42—1581no—
1586C42—1581no—
1587C42—1581no—
1588C42—1581no—
1589C42—1581no—
1590C42—1581no—
1591C42—1581no—
1592C42C23×D7911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—791no—
1604C23—6321no—
1605C23—6321no—
1606C23—6321no—
1607C23—1581no—
1608C23C2×D4×D7911yescharacteristic
1609C23C2×D4×D7911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—3162no—
1615Q8—3161no—
1616Q8—6321no—
1617Q8—6321no—
1618Q8—6321no—
1619Q8—6321no—
1620Q8—6321no—
1621Q8—1581no—
1622Q8—1581no—
1623Q8—1581no—
1624Q8—1581no—
1625Q8—1581no—
1626Q8—1581no—
1627Q8#1457920612yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—3162no—
1646D4—3161no—
1647D4—3161no—
1648D4—6321no—
1649D4—6321no—
1650D4—6321no—
1651D4—6321no—
1652D4—6321no—
1653D4—6321no—
1654D4—6321no—
1655D4—6321no—
1656D4—6321no—
1657D4—1581no—
1658D4—1581no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—3162no—
1671C2×C4—3162no—
1672C2×C4—3161no—
1673C2×C4—3161no—
1674C2×C4—791no—
1675C2×C4—791no—
1676C2×C4—791no—
1677C2×C4—791no—
1678C2×C4—791no—
1679C2×C4—791no—
1680C2×C4—791no—
1681C2×C4—6321no—
1682C2×C4—6321no—
1683C2×C4—6321no—
1684C2×C4—6321no—
1685C2×C4—6321no—
1686C2×C4—6321no—
1687C2×C4—6321no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C2×D4×D7911yescharacteristic
1699C2×C4C2×D4×D7911yescharacteristic
1700C2×C4C2×D4×D7911yescharacteristic
1701C2×C4C24×D7911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1581no—
1707C8—1581no—
1708C8—1581no—
1709C8—1581no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—162no—
1729C22—162no—
1730C22—3161no—
1731C22—3161no—
1732C22—3161no—
1733C22—1581no—
1734C22—1581no—
1735C22—1581no—
1736C22—12642no—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—3161no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—3161no—
1753C4—1581no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1581no—
1758C4—1581no—
1759C4—1581no—
1760C4C2×#1457920611yescharacteristic
1761C4#1909939811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—3161no—
1769C2—6321no—
1770C2#2377706011yescharacteristic
1771C2#2377817611yescharacteristic
1772C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3265C2
socleC22×C79C23×D4
hypercenter#3265D79
hypocenterC79#62092
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #23777914C2semidirect
2. #23777408C2semidirect
3. #23776464C2semidirect
4. #23776461C2semidirect
5. #23776218C2semidirect
6. #23776215C2semidirect
7. #23775631C2semidirect
8. #23775624C2semidirect
9. #23775562C2semidirect
10. #23775549C2semidirect
11. #23775468C2semidirect
12. #23775461C2semidirect
13. #23775053C2semidirect
14. #23775050C2semidirect
15. #23774913C2semidirect
16. #23774910C2semidirect
17. #23774889C2semidirect
18. #23774858C2semidirect
19. #23774855C2semidirect
20. #23774782C2semidirect
21. #23774490C2semidirect
22. #23774489C2semidirect
23. #23774400C2semidirect
24. #23773627C2semidirect
25. #23773622C2semidirect
26. #23773544C2semidirect
27. #23772918C2semidirect
28. #23772916C2semidirect
29. #23772892C2semidirect
30. #23772571C2semidirect
31. C79×#3265C2semidirect
32. C2×#14579192C22semidirect
33. C2×#14579191C22semidirect
34. C2×#14579190C22semidirect
35. C2×SD16×D79C22semidirect
40. Q8×Dic158C22semidirect
42. #19099284C22semidirect
44. #19099283C22semidirect
46. #19099282C22semidirect
48. #19099277C22semidirect
49. Q8×C22⋊D79C22semidirect
51. #19099220C22semidirect
59. #19099182C22semidirect
62. #19099180C22semidirect
71. #19099115C22semidirect
76. #19099041C22semidirect
77. #19099039C22semidirect
78. #41×Dic79C22semidirect
79. #19098954C22semidirect
80. #19098954C22semidirect
82. #19098946C22semidirect
83. #19098945C22semidirect
84. #19098923C22semidirect
85. #19098921C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
90. #19098906C22semidirect
91. #19098905C22semidirect
92. #19098888C22semidirect
95. #19098884C22semidirect
96. #19098859C22semidirect
97. #19098857C22semidirect
98. #19098857C22semidirect
99. #19098856C22semidirect
100. #19098846C22semidirect
101. #19098843C22semidirect
102. #19098842C22semidirect
103. #19098841C22semidirect
104. #19098841C22semidirect
105. #19098841C22semidirect
106. #19098811C22semidirect
107. #19098809C22semidirect
108. #19098808C22semidirect
110. #19098807C22semidirect
111. #19098807C22semidirect
113. #19098804C22semidirect
114. #19098803C22semidirect
116. #19098786C22semidirect
117. #19098785C22semidirect
118. #19098784C22semidirect
119. #19098784C22semidirect
120. #19098784C22semidirect
121. #19098783C22semidirect
122. #19098783C22semidirect
123. #19098783C22semidirect
124. #19098783C22semidirect
125. #19098783C22semidirect
126. #19098783C22semidirect
127. #19098783C22semidirect
128. #19098783C22semidirect
129. #19098782C22semidirect
130. #19098776C22semidirect
131. #19098776C22semidirect
132. #19098776C22semidirect
133. #19098776C22semidirect
134. #19098776C22semidirect
135. #19098767C22semidirect
136. #19098766C22semidirect
137. #19098762C22semidirect
140. #19098761C22semidirect
141. #19098761C22semidirect
143. #19098756C22semidirect
144. #19098727C22semidirect
145. #19098722C22semidirect
146. #19098721C22semidirect
147. #19098720C22semidirect
148. #19098719C22semidirect
149. #19098718C22semidirect
151. #19098714C22semidirect
152. #19098712C22semidirect
153. #19098708C22semidirect
154. #19098706C22semidirect
155. #19098705C22semidirect
157. #19098695C22semidirect
158. #19098691C22semidirect
159. #19098690C22semidirect
160. #19098675C22semidirect
161. #19098672C22semidirect
162. #19098671C22semidirect
163. #19098667C22semidirect
164. #19098666C22semidirect
165. #19098664C22semidirect
166. #19098664C22semidirect
167. C4×#11929614C22semidirect
168. #19098655C22semidirect
169. SD16×Dic79C22semidirect
170. C4×#11929612C22semidirect
171. #19098641C22semidirect
172. #19098638C22semidirect
173. #19098637C22semidirect
174. #19098634C22semidirect
175. #19098632C22semidirect
176. #19098625C22semidirect
177. #19098621C22semidirect
178. #19098617C22semidirect
179. #19098589C22semidirect
180. #19098588C22semidirect
181. #19098586C22semidirect
182. #19098573C22semidirect
184. #19098568C22semidirect
185. #19098566C22semidirect
186. #19098560C22semidirect
187. #19098556C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
193. #468×C79C22semidirect
195. #463×C79C22semidirect
198. #449×C79C22semidirect
200. #447×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
904. #3265D79semidirect
918. C79#62092semidirect
924. C22×SD16C2×D79semidirect
942. #548C2×D79semidirect
1005. #468C2×D79semidirect
1029. #463C2×D79semidirect
1053. #449C2×D79semidirect
1057. #447C2×D79semidirect
1067. #440C2×D79semidirect
1077. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779142
#237774082
#237764642
#237764612
#237762182
#237762152
#237756312
#237756242
#237755622
#237755492
#237754682
#237754612
#237750532
#237750502
#237749132
#237749102
#237748892
#237748582
#237748552
#237747822
#237744902
#237744892
#237744002
#237736272
#237736222
#237735442
#237729182
#237729162
#237728922
#237725712
C79×#32652
#6209279