Finite Group Databasebeta

← #35173272

Subgroups — #35173272

Order 20224.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777440C211yesmaximal, characteristic, complemented
2#23776889C211yesmaximal, characteristic, complemented
3#23775527C211yesmaximal, characteristic, complemented
4#23775499C211yesmaximal, characteristic, complemented
5#23775463C211yesmaximal, characteristic, complemented
6#23775447C211yesmaximal, characteristic, complemented
7#23775435C211yesmaximal, characteristic, complemented
8#23775419C211yesmaximal, characteristic, complemented
9#23775355C211yesmaximal, characteristic, complemented
10#23774983C211yesmaximal, characteristic, complemented
11#23774966C211yesmaximal, characteristic, complemented
12#23774963C211yesmaximal, characteristic, complemented
13#23774962C211yesmaximal, characteristic, complemented
14#23774957C211yesmaximal, characteristic, complemented
15#23774920C211yesmaximal, characteristic, complemented
16#23774915C211yesmaximal, characteristic, complemented
17#23774892C211yesmaximal, characteristic, complemented
18#23774436C211yesmaximal, characteristic, complemented
19#23774412C211yesmaximal, characteristic, complemented
20#23774238C211yesmaximal, characteristic, complemented
21#23774235C211yesmaximal, characteristic, complemented
22#23774187C211yesmaximal, characteristic, complemented
23#23774180C211yesmaximal, characteristic, complemented
24#23773565C211yesmaximal, characteristic, complemented
25#23773507C211yesmaximal, characteristic, complemented
26#23772661C211yesmaximal, characteristic, complemented
27#23772638C211yesmaximal, characteristic, complemented
28#23772617C211yesmaximal, characteristic, complemented
29C2×#19098728C211yesmaximal, characteristic, complemented
30#23772425C211yesmaximal, characteristic, complemented
31C79×#3308C211yesmaximal, characteristic, complemented
32C22×#11929625C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579191C2211yescharacteristic, complemented
36C2×#14579190C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C2×#14579182C2211yescharacteristic, complemented
39C2×#14579182C2211yescharacteristic, complemented
40C22×#11929614C2211yescharacteristic, complemented
41C22×#11929613C2211yescharacteristic, complemented
42#19099287C2211yescharacteristic, complemented
43#19099271—21no—
44#19099248C2211yescharacteristic
45#19099248C2211yescharacteristic, complemented
46#19099236—21no—
47#19099236—21no—
48#19099232C2211yescharacteristic
49D4×Dic158C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic
51#19099225C2211yescharacteristic
52#19099219C2211yescharacteristic
53#19099219C2211yescharacteristic, complemented
54#19099217C2211yescharacteristic, complemented
55#19099215—21no—
56#19099215C2211yescharacteristic
57#19099209—21no—
58#19099209C2211yescharacteristic
59#19099206—21no—
60#19099206C2211yescharacteristic
61#19099201—21no—
62#19099197—21no—
63#19099197C2211yescharacteristic
64#19099186—21no—
65#19099157—21no—
66#19099157—21no—
67#19099118C2211yescharacteristic, complemented
68#19099112—21no—
69#19099112C2211yescharacteristic
70#19099095C2211yescharacteristic, complemented
71#19099076—21no—
72#19099076C2211yescharacteristic
73#19099073—21no—
74#19099073C2211yescharacteristic
75#19099073C2211yescharacteristic, complemented
76#19099073C2211yescharacteristic, complemented
77C2×#14579141C2211yescharacteristic, complemented
78C2×#14579141C2211yescharacteristic, complemented
79#19099046—21no—
80C4×#11929625C2211yescharacteristic
81C4×D4×D79—21no—
82C4×D4×D79C2211yescharacteristic
83#19098958C2211yescharacteristic, complemented
84#19098957C2211yescharacteristic, complemented
85#19098954C2211yescharacteristic, complemented
86#19098951C2211yescharacteristic, complemented
87#19098930C2211yescharacteristic, complemented
88#19098926C2211yescharacteristic, complemented
89#19098925C2211yescharacteristic, complemented
90#19098906C2211yescharacteristic, complemented
91#19098906C2211yescharacteristic, complemented
92#19098906C2211yescharacteristic, complemented
93#19098906C2211yescharacteristic, complemented
94#19098903C2211yescharacteristic, complemented
95#19098893C2211yescharacteristic, complemented
96#19098890C2211yescharacteristic, complemented
97#19098885C2211yescharacteristic, complemented
98#19098885C2211yescharacteristic, complemented
99#19098881C2211yescharacteristic, complemented
100#19098872C2211yescharacteristic, complemented
101#19098866C2211yescharacteristic, complemented
102#19098850C2211yescharacteristic, complemented
103#19098820C2211yescharacteristic, complemented
104#19098820C2211yescharacteristic, complemented
105#19098819C2211yescharacteristic, complemented
106#19098814C2211yescharacteristic, complemented
107#19098810C2211yescharacteristic, complemented
108#19098810C2211yescharacteristic, complemented
109#19098809C2211yescharacteristic, complemented
110#19098805C2211yescharacteristic, complemented
111#19098805C2211yescharacteristic, complemented
112#19098804C2211yescharacteristic, complemented
113#19098791C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098790C2211yescharacteristic, complemented
116#19098790C2211yescharacteristic, complemented
117#19098786C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098782C2211yescharacteristic, complemented
120#19098778C2211yescharacteristic, complemented
121#19098777C2211yescharacteristic, complemented
122#19098773C2211yescharacteristic, complemented
123#19098772C2211yescharacteristic, complemented
124#19098772C2211yescharacteristic, complemented
125#19098769C2211yescharacteristic, complemented
126#19098762C2211yescharacteristic, complemented
127#19098762C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic
129#19098728C2211yescharacteristic
130#19098728C2211yescharacteristic
131#19098728C2211yescharacteristic, complemented
132#19098728C2211yescharacteristic, complemented
133#19098728C2211yescharacteristic, complemented
134#19098728C2211yescharacteristic, complemented
135#19098728C2211yescharacteristic, complemented
136#19098728C2211yescharacteristic, complemented
137#19098728C2211yescharacteristic, complemented
138#19098727C2211yescharacteristic, complemented
139#19098726C2211yescharacteristic, complemented
140#19098726C2211yescharacteristic, complemented
141#19098726C2211yescharacteristic, complemented
142#19098726C2211yescharacteristic, complemented
143#19098725C2211yescharacteristic, complemented
144#19098722C2211yescharacteristic, complemented
145#19098721C2211yescharacteristic, complemented
146#19098720C2211yescharacteristic, complemented
147#19098720C2211yescharacteristic, complemented
148#19098719C2211yescharacteristic, complemented
149#19098718C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic, complemented
151#19098715C2211yescharacteristic, complemented
152#19098715C2211yescharacteristic, complemented
153#19098709C2211yescharacteristic, complemented
154#19098707C2211yescharacteristic
155#19098707C2211yescharacteristic, complemented
156#19098706C2211yescharacteristic, complemented
157#19098705C2211yescharacteristic, complemented
158#19098705C2211yescharacteristic, complemented
159#19098704C2211yescharacteristic, complemented
160#19098701C2211yescharacteristic, complemented
161#19098696C2211yescharacteristic, complemented
162#19098673C2211yescharacteristic, complemented
163#19098668C2211yescharacteristic, complemented
164#19098667C2211yescharacteristic, complemented
165#19098667C2211yescharacteristic, complemented
166#19098665C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098662C2211yescharacteristic, complemented
169#19098637C2211yescharacteristic, complemented
170#19098636C2211yescharacteristic, complemented
171#19098635C2211yescharacteristic, complemented
172#19098634C2211yescharacteristic
173#19098633C2211yescharacteristic, complemented
174#19098632C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic
176#19098619C2211yescharacteristic, complemented
177#19098618C2211yescharacteristic, complemented
178#19098570C2211yescharacteristic, complemented
179#19098566C2211yescharacteristic, complemented
180#19098562C2211yescharacteristic, complemented
181#19098558C2211yescharacteristic, complemented
182#19098558C2211yescharacteristic, complemented
183C2×#14579081C2211yescharacteristic, complemented
184#19098526C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186C2×(C2×D79)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188#548×C79C2211yescharacteristic
189#547×C79C2211yescharacteristic, complemented
190#489×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#477×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#448×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#417×C79C2211yescharacteristic, complemented
202C2×#103×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929625—21no—
205C2×#11929625—42no—
206C2×#11929625—42no—
207C2×#11929625C2311yescharacteristic
208C2×#11929625C2311yescharacteristic
209C2×#11929625C2311yescharacteristic
210C2×#11929625C2311yescharacteristic
211C2×#11929624—21no—
212C2×#11929624C2311yescharacteristic
213C2×#11929623—21no—
214C2×#11929623C2311yescharacteristic
215C2×#11929623C2311yescharacteristic
216C2×#11929623C2311yescharacteristic
217#41×D79—42no—
218#41×D79—42no—
219C22×Dic158C2311yescharacteristic
220C22×Dic158C2311yescharacteristic
221C2×Q8×D79C2311yescharacteristic
222C22×D316—21no—
223C22×D316C2311yescharacteristic
224C2×D4×D79—21no—
225C2×D4×D79—21no—
226C2×D4×D79D411yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C22×C4×D79—21no—
229C22×C4×D79—21no—
230C22×C4×D79C2311yescharacteristic
231C22×C4×D79C2311yescharacteristic
232#14579194—42no—
233#14579191—42no—
234#14579190—42no—
235#14579185—42no—
236#14579182—42no—
237#14579182—42no—
238C2×Dic316C2311yescharacteristic
239C2×Dic316C2311yescharacteristic
240C2×Dic316C2311yescharacteristic
241C2×#11929614—42no—
242C2×#11929614C2311yescharacteristic
243C2×#11929614C2311yescharacteristic
244C2×#11929614C2311yescharacteristic
245C2×#11929614C2311yescharacteristic
246C2×#11929614C2311yescharacteristic
247C2×#11929614C2311yescharacteristic
248C2×#11929613—42no—
249C2×#11929613C2311yescharacteristic
250C2×#11929613C2311yescharacteristic
251C2×#11929613C2311yescharacteristic
252C2×#11929613C2311yescharacteristic
253C2×#11929613C2311yescharacteristic
254C2×#11929613C2311yescharacteristic
255C2×#11929612C2311yescharacteristic
256C2×#11929612C2311yescharacteristic
257C2×#11929612C2311yescharacteristic
258C2×#11929612C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929609C2311yescharacteristic
261C2×#11929608C2311yescharacteristic
262C2×#11929607C2311yescharacteristic
263C2×#11929607C2311yescharacteristic
264C22×C79⋊C8C2311yescharacteristic
265C2×C8×D79C2311yescharacteristic
266C2×C8×D79C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579160—21no—
269#14579159—21no—
270#14579159C2311yescharacteristic
271#14579157—21no—
272#14579157C2311yescharacteristic
273#14579156—21no—
274#14579156—21no—
275#14579156—21no—
276#14579156—21no—
277#14579154—21no—
278#14579152—21no—
279#14579152C2311yescharacteristic
280#14579151—21no—
281#14579151—21no—
282#14579150—21no—
283#14579149—21no—
284#14579149C2311yescharacteristic
285#14579148C2311yescharacteristic
286#14579147—21no—
287#14579147—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579145—21no—
292#14579145—21no—
293#14579144—21no—
294#14579144—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143—21no—
299#14579143—21no—
300#14579143—21no—
301#14579141—21no—
302#14579141—21no—
303#14579141—21no—
304#14579141—21no—
305#14579141—21no—
306#14579141C2311yescharacteristic
307#14579141C2311yescharacteristic
308#14579141C2311yescharacteristic
309#14579141C2311yescharacteristic
310#14579141C2311yescharacteristic
311#14579141C2311yescharacteristic
312#14579141C2311yescharacteristic
313#14579141C2311yescharacteristic
314#14579140—21no—
315#14579140C2311yescharacteristic
316#14579140C2311yescharacteristic
317#14579140C2311yescharacteristic
318#14579138—21no—
319#14579138—21no—
320#14579138—21no—
321#14579138—21no—
322#14579137—21no—
323#14579137—21no—
324#14579137C2311yescharacteristic
325#14579136—21no—
326#14579136C2311yescharacteristic
327#14579135—21no—
328#14579135—21no—
329#14579135C2311yescharacteristic
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579134—21no—
335#14579134—21no—
336#14579133—21no—
337#14579133—21no—
338#14579132—21no—
339#14579132C2311yescharacteristic
340#14579132C2311yescharacteristic
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579129—21no—
345#14579129—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349Q8×Dic79—21no—
350Q8×Dic79—21no—
351Q8×Dic79C2311yescharacteristic
352C4×Dic158C2311yescharacteristic
353#14579126C2311yescharacteristic
354#14579126C2311yescharacteristic
355C4×D316—21no—
356C4×D316—21no—
357C4×D316C2311yescharacteristic
358C4×D316C2311yescharacteristic
359D4×Dic79—21no—
360D4×Dic79—21no—
361D4×Dic79—21no—
362D4×Dic79—21no—
363D4×Dic79—21no—
364D4×Dic79—21no—
365D4×Dic79D411yescharacteristic
366#14579123—21no—
367#14579123—21no—
368#14579123D411yescharacteristic
369#14579123C2311yescharacteristic
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79C2311yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375(C22⋊D79)⋊C4—21no—
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381(C22⋊D79)⋊C4D411yescharacteristic
382(C22⋊D79)⋊C4D411yescharacteristic
383#14579120—21no—
384#14579120—21no—
385#14579120—21no—
386#14579119—21no—
387#14579119—21no—
388#14579119C2311yescharacteristic
389#14579119C2311yescharacteristic
390#14579119C2311yescharacteristic
391C2×C4⋊Dic79—21no—
392C2×C4⋊Dic79—21no—
393C2×C4⋊Dic79—21no—
394C4⋊C4×D79—21no—
395C4⋊C4×D79D411yescharacteristic
396C2×(C2×D79)⋊C4—21no—
397C2×(C2×D79)⋊C4—21no—
398C22⋊C4×D79—21no—
399C22⋊C4×D79—21no—
400C22⋊C4×D79D411yescharacteristic
401C22⋊C4×D79D411yescharacteristic
402C42×D79—21no—
403C42×D79C2311yescharacteristic
404#14579095C2311yescharacteristic
405#14579092C2311yescharacteristic
406#14579092C2311yescharacteristic
407#14579092C2311yescharacteristic
408#14579092C2311yescharacteristic
409C4⋊(C79⋊C8)C2311yescharacteristic
410Dic79⋊C8C2311yescharacteristic
411Dic79⋊C8C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579086C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579085C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579084C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579083C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic
434C22⋊(C79⋊C8)C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic
442(C2×D79)⋊C8C2311yescharacteristic
443(C2×D79)⋊C8C2311yescharacteristic
444#14579072C2311yescharacteristic
445#14579071C2311yescharacteristic
446#14579071C2311yescharacteristic
447C2×#41×C79—21no—
448C2×#41×C79C2311yescharacteristic
449C22×Q8×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×M16×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C4⋊Q8×C79C2311yescharacteristic
456#124×C79—21no—
457#124×C79C2311yescharacteristic
458#123×C79—21no—
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79—21no—
462C22⋊Q8×C79C2311yescharacteristic
463#121×C79—21no—
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467C4×Q8×C79C2311yescharacteristic
468C4×D4×C79—21no—
469C4×D4×C79C2311yescharacteristic
470C4×D4×C79C2311yescharacteristic
471C2×C4⋊C4×C79C2311yescharacteristic
472C2×C4⋊C4×C79C2311yescharacteristic
473#107×C79C2311yescharacteristic
474#107×C79C2311yescharacteristic
475#107×C79C2311yescharacteristic
476C4⋊C8×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#103×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489#97×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79C2×D411yescharacteristic
493C23×D79C2×D411yescharacteristic
494#11929625—22no—
495#11929625—22no—
496#11929625—22no—
497#11929625—22no—
498#11929625—41no—
499#11929625—41no—
500#11929625—41no—
501#11929625—41no—
502#11929625—44no—
503#11929625—44no—
504#11929624—22no—
505#11929624—41no—
506#11929624—44no—
507#11929623—41no—
508#11929623—41no—
509#11929623—44no—
510#11929623—41no—
511#11929623—41no—
512#11929623—41no—
513#11929623—41no—
514C2×Dic158—21no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—41no—
518C2×Dic158—41no—
519C2×Dic158—41no—
520C2×Dic158—41no—
521C2×Dic158C2411yescharacteristic
522C2×Dic158C2411yescharacteristic
523C2×Dic158C2411yescharacteristic
524C2×Dic158C2411yescharacteristic
525Q8×D79—22no—
526Q8×D79—41no—
527C2×D316—21no—
528C2×D316—21no—
529C2×D316—21no—
530C2×D316—21no—
531C2×D316—21no—
532C2×D316—22no—
533C2×D316—21no—
534C2×D316—41no—
535C2×D316—44no—
536C2×D316C2×D411yescharacteristic
537C2×D316C2411yescharacteristic
538C2×D316C2411yescharacteristic
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—21no—
549C2×C22⋊D79C2×D411yescharacteristic
550C2×C22⋊D79C2×D411yescharacteristic
551D4×D79—22no—
552D4×D79—42no—
553D4×D79—44no—
554D4×D79—41no—
555D4×D79—44no—
556C22×Dic79—21no—
557C22×Dic79—21no—
558C22×Dic79—21no—
559C22×Dic79—21no—
560C22×Dic79—21no—
561C22×Dic79C2×D411yescharacteristic
562C22×Dic79C2×D411yescharacteristic
563C2×C4×D79—21no—
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
568C2×C4×D79—21no—
569C2×C4×D79—21no—
570C2×C4×D79—21no—
571C2×C4×D79—41no—
572C2×C4×D79—41no—
573C2×C4×D79—41no—
574C2×C4×D79—41no—
575C2×C4×D79—44no—
576C2×C4×D79—44no—
577C2×C4×D79C2×D411yescharacteristic
578C2×C4×D79C2×D411yescharacteristic
579C2×C4×D79C2×D411yescharacteristic
580C2×C4×D79C2×D411yescharacteristic
581C2×C4×D79C2×D411yescharacteristic
582C2×C4×D79C2×D411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584C2×C4×D79C2411yescharacteristic
585C2×C4×D79C2411yescharacteristic
586Dic316—41no—
587Dic316—41no—
588Dic316—41no—
589#11929614—22no—
590#11929614—22no—
591#11929614—22no—
592#11929614—41no—
593#11929614—41no—
594#11929614—41no—
595#11929613—22no—
596#11929613—22no—
597#11929613—22no—
598#11929613—41no—
599#11929613—41no—
600#11929613—41no—
601#11929612—41no—
602#11929612—41no—
603#11929612—41no—
604#11929612—41no—
605#11929609—22no—
606#11929609—41no—
607#11929608—41no—
608#11929607—41no—
609#11929607—41no—
610C2×C79⋊C8—41no—
611C2×C79⋊C8C2411yescharacteristic
612C2×C79⋊C8C2411yescharacteristic
613C2×C79⋊C8C2411yescharacteristic
614C2×C79⋊C8C2411yescharacteristic
615C8×D79—41no—
616C8×D79—41no—
617C4⋊Dic79—21no—
618C4⋊Dic79—21no—
619C4⋊Dic79—21no—
620C4⋊Dic79—21no—
621C4⋊Dic79—21no—
622C4⋊Dic79—21no—
623C4⋊Dic79—21no—
624C4⋊Dic79—21no—
625C4⋊Dic79—21no—
626C4⋊Dic79—21no—
627C4⋊Dic79—21no—
628C4⋊Dic79—21no—
629C4⋊Dic79C2×D411yescharacteristic
630C4⋊Dic79C2411yescharacteristic
631C4⋊Dic79C2411yescharacteristic
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642Dic79⋊C4C2×D411yescharacteristic
643Dic79⋊C4C2×D411yescharacteristic
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79C2×D411yescharacteristic
652C22⋊Dic79C2×D411yescharacteristic
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673(C2×D79)⋊C4C2×D411yescharacteristic
674(C2×D79)⋊C4C2×D411yescharacteristic
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79—21no—
679C4×Dic79—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C4×Dic79C2×D411yescharacteristic
683C4×Dic79C2×D411yescharacteristic
684C4×Dic79C2411yescharacteristic
685#41×C79—22no—
686#41×C79—41no—
687#41×C79—44no—
688C2×Q8×C79—21no—
689C2×Q8×C79—21no—
690C2×Q8×C79—22no—
691C2×Q8×C79—41no—
692C2×Q8×C79C2411yescharacteristic
693C2×Q8×C79C2411yescharacteristic
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—21no—
698C2×D4×C79C2×D411yescharacteristic
699C2×D4×C79C2411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—21no—
704C22×C4×C79—21no—
705C22×C4×C79—21no—
706C22×C4×C79C2411yescharacteristic
707C22×C4×C79C2411yescharacteristic
708SD16×C79—22no—
709SD16×C79—41no—
710D8×C79—41no—
711M16×C79—41no—
712C2×C8×C79—41no—
713C2×C8×C79C2411yescharacteristic
714C2×C8×C79C2411yescharacteristic
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C4⋊C4×C79—21no—
718C4⋊C4×C79—21no—
719C4⋊C4×C79—21no—
720C4⋊C4×C79—21no—
721C4⋊C4×C79—21no—
722C4⋊C4×C79C2×D411yescharacteristic
723C4⋊C4×C79C2411yescharacteristic
724C4⋊C4×C79C2411yescharacteristic
725C4⋊C4×C79C2411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C22⋊C4×C79—21no—
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79C2×D411yescharacteristic
735C22⋊C4×C79C2×D411yescharacteristic
736C42×C79—21no—
737C42×C79C2411yescharacteristic
738C23×C79—21no—
739C23×C79—21no—
740C23×C79C22×D411yescharacteristic
741C23×C79C22×D411yescharacteristic
742C22×D79—21no—
743C22×D79—22no—
744C22×D79—21no—
745C22×D79—41no—
746C22×D79—41no—
747C22×D79—41no—
748C22×D79—41no—
749C22×D79—41no—
750C22×D79—42no—
751C22×D79—42no—
752C22×D79—42no—
753C22×D79—42no—
754C22×D79—81no—
755C22×D79—81no—
756C22×D79C22×D411yescharacteristic
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—42no—
763Q8×C79—42no—
764Q8×C79H(5,𝔽2)12yes—
765D4×C79—22no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—21no—
769D4×C79—21no—
770D4×C79—42no—
771D4×C79—42no—
772D4×C79—42no—
773D4×C79—42no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—42no—
785C2×C4×C79—42no—
786C2×C4×C79—42no—
787C2×C4×C79—42no—
788C2×C4×C79—42no—
789C2×C4×C79C22×D411yescharacteristic
790C2×C4×C79C22×D411yescharacteristic
791C2×C4×C79C22×D411yescharacteristic
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C2511yescharacteristic
794C22⋊D79—22no—
795C22⋊D79—41no—
796C22⋊D79—42no—
797C22⋊D79—42no—
798C22⋊D79—42no—
799C22⋊D79—42no—
800C22⋊D79—42no—
801C22⋊D79—81no—
802C22⋊D79—81no—
803C22⋊D79—81no—
804C22⋊D79—81no—
805C22⋊D79—81no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—41no—
813C2×Dic79—41no—
814C2×Dic79—42no—
815C2×Dic79—81no—
816C2×Dic79—81no—
817C2×Dic79—81no—
818C2×Dic79—81no—
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821C2×Dic79C22×D411yescharacteristic
822C2×Dic79C22×D411yescharacteristic
823C2×Dic79C22×D411yescharacteristic
824D316—24no—
825D316—21no—
826D316—21no—
827D316—21no—
828D316—41no—
829D316—42no—
830D316—42no—
831D316—42no—
832D316—42no—
833D316—42no—
834D316H(5,𝔽2)12yes—
835C4×D79—24no—
836C4×D79—21no—
837C4×D79—21no—
838C4×D79—21no—
839C4×D79—21no—
840C4×D79—21no—
841C4×D79—21no—
842C4×D79—41no—
843C4×D79—41no—
844C4×D79—41no—
845C4×D79—41no—
846C4×D79—41no—
847C4×D79—41no—
848C4×D79—42no—
849C4×D79—42no—
850C4×D79—42no—
851C4×D79—42no—
852C4×D79—42no—
853C4×D79—42no—
854C4×D79—81no—
855Dic158—21no—
856Dic158—21no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—21no—
861Dic158—21no—
862Dic158—21no—
863Dic158—42no—
864Dic158—81no—
865Dic158—81no—
866C8×C79—21no—
867C8×C79—21no—
868C8×C79—21no—
869C8×C79—21no—
870C79⋊C8—21no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—41no—
880C22×C79—41no—
881C22×C79—41no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79#57512yes—
886C22×C79C23×D411yescharacteristic
887C2×D79—21no—
888C2×D79—21no—
889C2×D79—21no—
890C2×D79—22no—
891C2×D79—21no—
892C2×D79—21no—
893C2×D79—21no—
894C2×D79—21no—
895C2×D79—21no—
896C2×D79—21no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—82no—
903C2×D79—82no—
904C2×D79—84no—
905C2×D79—84no—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—22no—
910C4×C79—21no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79—41no—
915C4×C79—41no—
916C4×C79C2×H(5,𝔽2)11yescharacteristic
917C4×C79C2×H(5,𝔽2)11yescharacteristic
918Dic79—21no—
919Dic79—21no—
920Dic79—21no—
921Dic79—21no—
922Dic79—21no—
923Dic79—41no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79—41no—
929#61580—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—81no—
933C2×C79—81no—
934C2×C79#348411yescharacteristic
935C2×C79C2×#57511yescharacteristic
936C2×C79#358611yescharacteristic
937D79—41no—
938D79—41no—
939D79—41no—
940D79—42no—
941D79—81no—
942#3520—791no—
943D4×#41—791no—
944#3317—791no—
945#3315—791no—
946#3313—791no—
947#3312—791no—
948#3311—791no—
949#3310—791no—
950#3308D7911yescharacteristic, complemented
951#3306—791no—
952#3271—791no—
953#3270—791no—
954#3270—791no—
955#3269—791no—
956#3269—791no—
957#3267—791no—
958#3266—791no—
959#3265—791no—
960#3219—791no—
961#3216—791no—
962#3197—791no—
963#3196—791no—
964#3191—791no—
965#3190—791no—
966#3116—791no—
967#3111—791no—
968#3007—791no—
969#3005—791no—
970#3002—791no—
971C2×#452—791no—
972#2973—791no—
973C79#6158011yescharacteristic, complemented, Sylow
974C22×#41—791no—
975C22×#41—791no—
976C2×#137—791no—
977C2×#137—791no—
978C2×#137—791no—
979C2×AGL(1,ℤ/8)—791no—
980C2×#135—791no—
981C2×#135—791no—
982C22×Q16—791no—
983C22×SD16—791no—
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550—791no—
991D4×Q8—791no—
992D4×Q8—791no—
993#548—791no—
994#548—791no—
995#548—791no—
996#548C2×D7911yescharacteristic
997#547—791no—
998#547—791no—
999#547—1581no—
1000#547C2×D7911yescharacteristic, complemented
1001#546—791no—
1002#546—791no—
1003#546—1581no—
1004#546—1581no—
1005#546—1581no—
1006D42—791no—
1007D42—1581no—
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—791no—
1013#532—1581no—
1014#529—791no—
1015#525—791no—
1016#525—791no—
1017#525—791no—
1018#525—791no—
1019#525—1581no—
1020#525—1581no—
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8—791no—
1023#520—1581no—
1024C4×#41—791no—
1025C2×C4×D4—791no—
1026C2×C4×D4—1581no—
1027#497—791no—
1028#497—791no—
1029#497—791no—
1030#496—791no—
1031#491—791no—
1032#490—791no—
1033#489—791no—
1034#489C2×D7911yescharacteristic, complemented
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485—791no—
1039#485—791no—
1040#484C2×D7911yescharacteristic, complemented
1041#483—791no—
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#481—791no—
1046#480C2×D7911yescharacteristic, complemented
1047#479—791no—
1048#478—791no—
1049#477C2×D7911yescharacteristic, complemented
1050#476—791no—
1051#470—791no—
1052#470—791no—
1053#470—791no—
1054#469—791no—
1055#468—791no—
1056#468—791no—
1057#468—791no—
1058#468C2×D7911yescharacteristic, complemented
1059#467—791no—
1060#467—791no—
1061#467—791no—
1062#466C2×D7911yescharacteristic, complemented
1063#465—791no—
1064#465—791no—
1065#465—791no—
1066#465—791no—
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#463—791no—
1071#463—791no—
1072#463C2×D7911yescharacteristic, complemented
1073#462—791no—
1074#462—791no—
1075#462—791no—
1076#461—791no—
1077#460—791no—
1078#460—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#451—791no—
1097#451—791no—
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#450—791no—
1102#450—791no—
1103#450—791no—
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449C2×D7911yescharacteristic, complemented
1111#448—791no—
1112#448—791no—
1113#448C2×D7911yescharacteristic, complemented
1114#447—791no—
1115#442—791no—
1116#441—791no—
1117#441—791no—
1118#441—791no—
1119#440—791no—
1120#440—791no—
1121#440—791no—
1122#440C2×D7911yescharacteristic, complemented
1123#435—791no—
1124#435—791no—
1125#435—791no—
1126#435—791no—
1127#435—791no—
1128#435—791no—
1129#435—791no—
1130#435C2×D7911yescharacteristic, complemented
1131#432—791no—
1132#432—791no—
1133#419—791no—
1134#418—791no—
1135#417—791no—
1136#417C2×D7911yescharacteristic, complemented
1137#416—791no—
1138#416—791no—
1139C2×#103C2×D7911yescharacteristic, complemented
1140C2×#102—791no—
1141#407—791no—
1142#407—791no—
1143C2×C22⋊C8—791no—
1144C2×C22⋊C8—791no—
1145C2×#41—21no—
1146C2×#41—3162no—
1147C2×#41—3162no—
1148C2×#41—3162no—
1149C2×#41—3162no—
1150C2×#41—791no—
1151C2×#41—791no—
1152C2×#41—791no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—791no—
1156C2×#41—791no—
1157C2×#41—791no—
1158C2×#41—1581no—
1159C2×#41—1581no—
1160C2×#41—1581no—
1161C2×#41—1581no—
1162C2×#41C22×D7911yescharacteristic
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8—791no—
1166C22×Q8C22×D7911yescharacteristic
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—1581no—
1171C22×D4—1581no—
1172C22×D4—1581no—
1173C23×C4—791no—
1174C23×C4—791no—
1175C23×C4—1581no—
1176C23×C4—1581no—
1177#137—3162no—
1178#137—3162no—
1179#137—3162no—
1180AGL(1,ℤ/8)—3162no—
1181#135—3162no—
1182#135—3162no—
1183C2×Q16—3162no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16—791no—
1190C2×Q16—791no—
1191C2×Q16—791no—
1192C2×Q16—791no—
1193C2×SD16—3162no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16C22×D7911yescharacteristic
1205C2×SD16C22×D7911yescharacteristic
1206C2×D8—791no—
1207C2×D8—791no—
1208C2×D8C22×D7911yescharacteristic
1209C2×M16—791no—
1210C2×M16—791no—
1211C2×M16—791no—
1212C2×M16C22×D7911yescharacteristic
1213C22×C8—791no—
1214C22×C8—791no—
1215C22×C8—791no—
1216C22×C8C22×D7911yescharacteristic
1217C4⋊Q8—791no—
1218C4⋊Q8—791no—
1219C4⋊Q8—1581no—
1220C4⋊Q8—1581no—
1221C4⋊Q8C22×D7911yescharacteristic
1222#127—791no—
1223#127—1581no—
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—21no—
1234#124—791no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124—1581no—
1240#124C22×D7911yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—791no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8—1581no—
1278C22⋊Q8—1581no—
1279C22⋊Q8—1581no—
1280C22⋊Q8—1581no—
1281C22⋊Q8—1581no—
1282C22⋊Q8C22×D7911yescharacteristic
1283#121—21no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—1581no—
1289#121—1581no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121C22×D7911yescharacteristic
1301#121C22×D7911yescharacteristic
1302#121C22×D7911yescharacteristic
1303#120—1581no—
1304#120—1581no—
1305#120—1581no—
1306#120—1581no—
1307#120—1581no—
1308#120—1581no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—791no—
1315C4×Q8—1581no—
1316C4×Q8—1581no—
1317C4×Q8C22×D7911yescharacteristic
1318C4×D4—21no—
1319C4×D4—791no—
1320C4×D4—791no—
1321C4×D4—791no—
1322C4×D4—791no—
1323C4×D4—791no—
1324C4×D4—791no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—1581no—
1329C4×D4—1581no—
1330C4×D4—1581no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4C22×D7911yescharacteristic
1348C4×D4C22×D7911yescharacteristic
1349#117—791no—
1350#117—791no—
1351#117—791no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117—1581no—
1357C2×C4⋊C4—791no—
1358C2×C4⋊C4—1581no—
1359C2×C4⋊C4—1581no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4C22×D7911yescharacteristic
1363C2×C4⋊C4C22×D7911yescharacteristic
1364C2×C22⋊C4—791no—
1365C2×C22⋊C4—791no—
1366C2×C22⋊C4—1581no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4—1581no—
1369C2×C22⋊C4—1581no—
1370C2×C42—791no—
1371C2×C42—1581no—
1372#107—791no—
1373#107C22×D7911yescharacteristic
1374#107C22×D7911yescharacteristic
1375#107C22×D7911yescharacteristic
1376#106—791no—
1377#106—791no—
1378#106—791no—
1379#106—791no—
1380C4⋊C8—791no—
1381C4⋊C8—791no—
1382C4⋊C8—791no—
1383C4⋊C8C22×D7911yescharacteristic
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103C22×D7911yescharacteristic
1397#103C22×D7911yescharacteristic
1398#103C22×D7911yescharacteristic
1399#103C22×D7911yescharacteristic
1400#103C22×D7911yescharacteristic
1401#103C22×D7911yescharacteristic
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102C22×D7911yescharacteristic
1413#102C22×D7911yescharacteristic
1414#102C22×D7911yescharacteristic
1415#102C22×D7911yescharacteristic
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8—791no—
1425C22⋊C8—791no—
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428#97—791no—
1429#97—791no—
1430#97—791no—
1431#97C22×D7911yescharacteristic
1432C24—791no—
1433C24—791no—
1434C24—1581no—
1435C24—1581no—
1436#41—22no—
1437#41—41no—
1438#41—44no—
1439#41—3161no—
1440#41—3164no—
1441#41—3164no—
1442#41—3161no—
1443#41—3161no—
1444#41—3164no—
1445#41—3164no—
1446#41—3161no—
1447#41—3161no—
1448#41—3161no—
1449#41—3161no—
1450#41—3161no—
1451#41—3161no—
1452#41—3161no—
1453#41—3161no—
1454#41—1582no—
1455#41—1582no—
1456#41—1582no—
1457#41—1582no—
1458#41—1582no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—41no—
1463C2×Q8—3161no—
1464C2×Q8—3161no—
1465C2×Q8—3161no—
1466C2×Q8—3161no—
1467C2×Q8—3161no—
1468C2×Q8—791no—
1469C2×Q8—791no—
1470C2×Q8—791no—
1471C2×Q8—791no—
1472C2×Q8—1581no—
1473C2×Q8—1582no—
1474C2×Q8—1581no—
1475C2×Q8—1581no—
1476C2×Q8C23×D7911yescharacteristic
1477C2×Q8C23×D7911yescharacteristic
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—3161no—
1483C2×D4—3164no—
1484C2×D4—3162no—
1485C2×D4—3164no—
1486C2×D4—3164no—
1487C2×D4—3161no—
1488C2×D4—791no—
1489C2×D4—791no—
1490C2×D4—791no—
1491C2×D4—791no—
1492C2×D4—791no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1581no—
1497C2×D4—1582no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4—1582no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1581no—
1510C2×D4—1581no—
1511C2×D4D4×D7911yescharacteristic
1512C2×D4C23×D7911yescharacteristic
1513C2×D4C23×D7911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—3161no—
1520C22×C4—3161no—
1521C22×C4—3161no—
1522C22×C4—3161no—
1523C22×C4—3164no—
1524C22×C4—3164no—
1525C22×C4—791no—
1526C22×C4—791no—
1527C22×C4—791no—
1528C22×C4—791no—
1529C22×C4—791no—
1530C22×C4—791no—
1531C22×C4—791no—
1532C22×C4—791no—
1533C22×C4—791no—
1534C22×C4—791no—
1535C22×C4—791no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4—1581no—
1540C22×C4—1581no—
1541C22×C4—1581no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4—1581no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—3161no—
1552Q16—3161no—
1553Q16—3161no—
1554Q16—3161no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—1582no—
1558Q16—1582no—
1559Q16—1582no—
1560SD16—22no—
1561SD16—41no—
1562SD16—3161no—
1563SD16—3161no—
1564SD16—3161no—
1565SD16—3161no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—3161no—
1569SD16—1582no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—41no—
1573D8—3161no—
1574D8—1582no—
1575M16—41no—
1576M16—3161no—
1577M16—3161no—
1578M16—3161no—
1579C2×C8—41no—
1580C2×C8—3161no—
1581C2×C8—3161no—
1582C2×C8—3161no—
1583C2×C8—791no—
1584C2×C8—791no—
1585C2×C8—791no—
1586C2×C8—791no—
1587C2×C8C23×D7911yescharacteristic
1588C2×C8C23×D7911yescharacteristic
1589C2×C8C23×D7911yescharacteristic
1590C2×C8C23×D7911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—791no—
1597C4⋊C4—791no—
1598C4⋊C4—791no—
1599C4⋊C4—791no—
1600C4⋊C4—791no—
1601C4⋊C4—1581no—
1602C4⋊C4—1581no—
1603C4⋊C4—1581no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4D4×D7911yescharacteristic
1624C4⋊C4C23×D7911yescharacteristic
1625C4⋊C4C23×D7911yescharacteristic
1626C4⋊C4C23×D7911yescharacteristic
1627C4⋊C4C23×D7911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—791no—
1636C22⋊C4—791no—
1637C22⋊C4—791no—
1638C22⋊C4—791no—
1639C22⋊C4—791no—
1640C22⋊C4—791no—
1641C22⋊C4—1581no—
1642C22⋊C4—1581no—
1643C22⋊C4—1581no—
1644C22⋊C4—1581no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4D4×D7911yescharacteristic
1667C22⋊C4D4×D7911yescharacteristic
1668C42—21no—
1669C42—791no—
1670C42—791no—
1671C42—791no—
1672C42—1581no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42—1581no—
1677C42—1581no—
1678C42—1581no—
1679C42C23×D7911yescharacteristic
1680C23—21no—
1681C23—21no—
1682C23—3162no—
1683C23—3161no—
1684C23—3161no—
1685C23—3161no—
1686C23—3161no—
1687C23—3161no—
1688C23—3162no—
1689C23—3162no—
1690C23—3162no—
1691C23—791no—
1692C23—791no—
1693C23—791no—
1694C23—6321no—
1695C23—6321no—
1696C23—1581no—
1697C23—1581no—
1698C23—1582no—
1699C23C2×D4×D7911yescharacteristic
1700C23C2×D4×D7911yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—42no—
1705Q8—42no—
1706Q8—3162no—
1707Q8—6321no—
1708Q8—6321no—
1709Q8—1581no—
1710Q8—1581no—
1711Q8—1581no—
1712Q8—1581no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8#1457920712yes—
1718D4—22no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—3162no—
1728D4—3162no—
1729D4—3161no—
1730D4—3162no—
1731D4—3162no—
1732D4—3162no—
1733D4—3162no—
1734D4—3162no—
1735D4—3162no—
1736D4—3161no—
1737D4—3162no—
1738D4—3162no—
1739D4—792no—
1740D4—6321no—
1741D4—6321no—
1742D4—6321no—
1743D4—6321no—
1744D4—6321no—
1745D4—1584no—
1746D4—1582no—
1747D4—1581no—
1748D4—1581no—
1749D4—1581no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—3162no—
1766C2×C4—3162no—
1767C2×C4—3162no—
1768C2×C4—3161no—
1769C2×C4—3161no—
1770C2×C4—3161no—
1771C2×C4—3161no—
1772C2×C4—3161no—
1773C2×C4—3161no—
1774C2×C4—3162no—
1775C2×C4—3162no—
1776C2×C4—3162no—
1777C2×C4—3162no—
1778C2×C4—3161no—
1779C2×C4—3161no—
1780C2×C4—791no—
1781C2×C4—791no—
1782C2×C4—791no—
1783C2×C4—791no—
1784C2×C4—791no—
1785C2×C4—6321no—
1786C2×C4—6321no—
1787C2×C4—6321no—
1788C2×C4—6321no—
1789C2×C4—6321no—
1790C2×C4—1584no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4—1581no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4C2×D4×D7911yescharacteristic
1804C2×C4C2×D4×D7911yescharacteristic
1805C2×C4C2×D4×D7911yescharacteristic
1806C2×C4C2×D4×D7911yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1581no—
1813C8—1581no—
1814C8—1581no—
1815C8—1581no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—3161no—
1828C22—3161no—
1829C22—3161no—
1830C22—3161no—
1831C22—3161no—
1832C22—6322no—
1833C22—6324no—
1834C22—6322no—
1835C22—6324no—
1836C22—1581no—
1837C22—1582no—
1838C22—1581no—
1839C22—1581no—
1840C22—1581no—
1841C22—1581no—
1842C22—1581no—
1843C22—1581no—
1844C22—1581no—
1845C22—1581no—
1846C22#1909935912yes—
1847C22C22×D4×D7911yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—22no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—3161no—
1859C4—3161no—
1860C4—3161no—
1861C4—3161no—
1862C4—3161no—
1863C4—3161no—
1864C4—1581no—
1865C4—1581no—
1866C4—1581no—
1867C4—1581no—
1868C4—1581no—
1869C4H(5,𝔽2)×D7911yescharacteristic
1870C4C2×#1457920711yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—3162no—
1876C2—3161no—
1877C2—3161no—
1878C2—3161no—
1879C2—6321no—
1880C2#2377703011yescharacteristic
1881C2C2×#1909935911yescharacteristic
1882C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3308C2
socleC22×C79C23×D4
hypercenter#3308D79
hypocenterC79#61580
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #23777440C2semidirect
2. #23776889C2semidirect
3. #23775527C2semidirect
4. #23775499C2semidirect
5. #23775463C2semidirect
6. #23775447C2semidirect
7. #23775435C2semidirect
8. #23775419C2semidirect
9. #23775355C2semidirect
10. #23774983C2semidirect
11. #23774966C2semidirect
12. #23774963C2semidirect
13. #23774962C2semidirect
14. #23774957C2semidirect
15. #23774920C2semidirect
16. #23774915C2semidirect
17. #23774892C2semidirect
18. #23774436C2semidirect
19. #23774412C2semidirect
20. #23774238C2semidirect
21. #23774235C2semidirect
22. #23774187C2semidirect
23. #23774180C2semidirect
24. #23773565C2semidirect
25. #23773507C2semidirect
26. #23772661C2semidirect
27. #23772638C2semidirect
28. #23772617C2semidirect
29. C2×#19098728C2semidirect
30. #23772425C2semidirect
31. C79×#3308C2semidirect
34. C2×#14579194C22semidirect
35. C2×#14579191C22semidirect
36. C2×#14579190C22semidirect
37. C2×#14579185C22semidirect
38. C2×#14579182C22semidirect
39. C2×#14579182C22semidirect
40. C22×#11929614C22semidirect
41. C22×#11929613C22semidirect
42. #19099287C22semidirect
45. #19099248C22semidirect
49. D4×Dic158C22semidirect
53. #19099219C22semidirect
54. #19099217C22semidirect
67. #19099118C22semidirect
70. #19099095C22semidirect
75. #19099073C22semidirect
76. #19099073C22semidirect
77. C2×#14579141C22semidirect
78. C2×#14579141C22semidirect
83. #19098958C22semidirect
84. #19098957C22semidirect
85. #19098954C22semidirect
86. #19098951C22semidirect
87. #19098930C22semidirect
88. #19098926C22semidirect
89. #19098925C22semidirect
90. #19098906C22semidirect
91. #19098906C22semidirect
92. #19098906C22semidirect
93. #19098906C22semidirect
94. #19098903C22semidirect
95. #19098893C22semidirect
96. #19098890C22semidirect
97. #19098885C22semidirect
98. #19098885C22semidirect
99. #19098881C22semidirect
100. #19098872C22semidirect
101. #19098866C22semidirect
102. #19098850C22semidirect
103. #19098820C22semidirect
104. #19098820C22semidirect
105. #19098819C22semidirect
106. #19098814C22semidirect
107. #19098810C22semidirect
108. #19098810C22semidirect
109. #19098809C22semidirect
110. #19098805C22semidirect
111. #19098805C22semidirect
112. #19098804C22semidirect
113. #19098791C22semidirect
114. #19098791C22semidirect
115. #19098790C22semidirect
116. #19098790C22semidirect
117. #19098786C22semidirect
118. #19098783C22semidirect
119. #19098782C22semidirect
120. #19098778C22semidirect
121. #19098777C22semidirect
122. #19098773C22semidirect
123. #19098772C22semidirect
124. #19098772C22semidirect
125. #19098769C22semidirect
126. #19098762C22semidirect
127. #19098762C22semidirect
131. #19098728C22semidirect
132. #19098728C22semidirect
133. #19098728C22semidirect
134. #19098728C22semidirect
135. #19098728C22semidirect
136. #19098728C22semidirect
137. #19098728C22semidirect
138. #19098727C22semidirect
139. #19098726C22semidirect
140. #19098726C22semidirect
141. #19098726C22semidirect
142. #19098726C22semidirect
143. #19098725C22semidirect
144. #19098722C22semidirect
145. #19098721C22semidirect
146. #19098720C22semidirect
147. #19098720C22semidirect
148. #19098719C22semidirect
149. #19098718C22semidirect
150. #19098716C22semidirect
151. #19098715C22semidirect
152. #19098715C22semidirect
153. #19098709C22semidirect
155. #19098707C22semidirect
156. #19098706C22semidirect
157. #19098705C22semidirect
158. #19098705C22semidirect
159. #19098704C22semidirect
160. #19098701C22semidirect
161. #19098696C22semidirect
162. #19098673C22semidirect
163. #19098668C22semidirect
164. #19098667C22semidirect
165. #19098667C22semidirect
166. #19098665C22semidirect
167. #19098662C22semidirect
168. #19098662C22semidirect
169. #19098637C22semidirect
170. #19098636C22semidirect
171. #19098635C22semidirect
173. #19098633C22semidirect
174. #19098632C22semidirect
176. #19098619C22semidirect
177. #19098618C22semidirect
178. #19098570C22semidirect
179. #19098566C22semidirect
180. #19098562C22semidirect
181. #19098558C22semidirect
182. #19098558C22semidirect
183. C2×#14579081C22semidirect
184. #19098526C22semidirect
185. #19098525C22semidirect
186. C2×(C2×D79)⋊C8C22semidirect
187. C22⋊C8×D79C22semidirect
189. #547×C79C22semidirect
190. #489×C79C22semidirect
191. #484×C79C22semidirect
192. #480×C79C22semidirect
193. #477×C79C22semidirect
194. #468×C79C22semidirect
195. #466×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #448×C79C22semidirect
199. #440×C79C22semidirect
200. #435×C79C22semidirect
201. #417×C79C22semidirect
202. C2×#103×C79C22semidirect
950. #3308D79semidirect
973. C79#61580semidirect
1000. #547C2×D79semidirect
1034. #489C2×D79semidirect
1040. #484C2×D79semidirect
1046. #480C2×D79semidirect
1049. #477C2×D79semidirect
1058. #468C2×D79semidirect
1062. #466C2×D79semidirect
1072. #463C2×D79semidirect
1110. #449C2×D79semidirect
1113. #448C2×D79semidirect
1122. #440C2×D79semidirect
1130. #435C2×D79semidirect
1136. #417C2×D79semidirect
1139. C2×#103C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774402
#237768892
#237755272
#237754992
#237754632
#237754472
#237754352
#237754192
#237753552
#237749832
#237749662
#237749632
#237749622
#237749572
#237749202
#237749152
#237748922
#237744362
#237744122
#237742382
#237742352
#237741872
#237741802
#237735652
#237735072
#237726612
#237726382
#237726172
C2×#190987282
#237724252
C79×#33082
#6158079