Finite Group Databasebeta

← #35165243

Subgroups — #35165243

Order 20224.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776959C211yesmaximal, characteristic, complemented
2D42×D79C211yesmaximal, characteristic, complemented
3#23775637C211yesmaximal, characteristic, complemented
4#23775635C211yesmaximal, characteristic, complemented
5#23775629C211yesmaximal, characteristic, complemented
6#23775627C211yesmaximal, characteristic, complemented
7#23775548C211yesmaximal, characteristic, complemented
8#23775546C211yesmaximal, characteristic, complemented
9#23775535C211yesmaximal, characteristic, complemented
10#23775423C211yesmaximal, characteristic, complemented
11#23775421C211yesmaximal, characteristic, complemented
12#23775420C211yesmaximal, characteristic, complemented
13#23775418C211yesmaximal, characteristic, complemented
14#23775222C211yesmaximal, characteristic, complemented
15#23775220C211yesmaximal, characteristic, complemented
16#23775208C211yesmaximal, characteristic, complemented
17#23775206C211yesmaximal, characteristic, complemented
18#23773773C211yesmaximal, characteristic, complemented
19#23773339C211yesmaximal, characteristic, complemented
20#23773337C211yesmaximal, characteristic, complemented
21#23773195C211yesmaximal, characteristic, complemented
22#23773018C211yesmaximal, characteristic, complemented
23#23773016C211yesmaximal, characteristic, complemented
24#23772875C211yesmaximal, characteristic, complemented
25#23772624C211yesmaximal, characteristic, complemented
26#23772624C211yesmaximal, characteristic, complemented
27#23772211C211yesmaximal, characteristic, complemented
28#23772133C211yesmaximal, characteristic, complemented
29C2×#19098566C211yesmaximal, characteristic, complemented
30#418×D79C211yesmaximal, characteristic, complemented
31C79×#3318C211yesmaximal, characteristic, complemented
32C22×D4×D79—21no—
33C22×D4×D79C2211yescharacteristic
34C22×D4×D79C2211yescharacteristic
35C2×#14579185C2211yescharacteristic
36C2×#14579185C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C22×#11929607C2211yescharacteristic, complemented
39C2×M16×D79C2211yescharacteristic, complemented
40#19099281C2211yescharacteristic, complemented
41#19099277C2211yescharacteristic, complemented
42#19099268C2211yescharacteristic, complemented
43#19099263C2211yescharacteristic, complemented
44#19099253C2211yescharacteristic, complemented
45#19099251C2211yescharacteristic, complemented
46#19099249—21no—
47#19099242—21no—
48#19099241—21no—
49#19099213C2211yescharacteristic, complemented
50#19099202—21no—
51D4×D316C2211yescharacteristic
52D4×D316C2211yescharacteristic
53#19099198C2211yescharacteristic
54#19099197—21no—
55#19099197C2211yescharacteristic
56#19099197C2211yescharacteristic
57D4×C22⋊D79—21no—
58D4×C22⋊D79C2211yescharacteristic
59D4×C22⋊D79C2211yescharacteristic
60#19099195—21no—
61#19099195—21no—
62#19099119C2211yescharacteristic, complemented
63#127×D79C2211yescharacteristic
64#19099096—21no—
65#19099094—21no—
66#19099090—21no—
67#19099073C2211yescharacteristic, complemented
68#19099073C2211yescharacteristic, complemented
69#121×D79—21no—
70#121×D79C2211yescharacteristic
71#121×D79C2211yescharacteristic
72#120×D79—21no—
73#120×D79—21no—
74C4×#11929623—21no—
75C4×#11929623C2211yescharacteristic, complemented
76C4×D4×D79C2211yescharacteristic
77C4×D4×D79C2211yescharacteristic
78C2×#14579119C2211yescharacteristic, complemented
79#117×D79C2211yescharacteristic, complemented
80#19098929C2211yescharacteristic, complemented
81#19098928C2211yescharacteristic, complemented
82#19098927C2211yescharacteristic, complemented
83#19098908C2211yescharacteristic, complemented
84#19098908C2211yescharacteristic, complemented
85#19098908C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic, complemented
87#19098889C2211yescharacteristic, complemented
88#19098889C2211yescharacteristic, complemented
89#19098888C2211yescharacteristic, complemented
90#19098887C2211yescharacteristic, complemented
91#19098885C2211yescharacteristic, complemented
92#19098885C2211yescharacteristic, complemented
93#19098884C2211yescharacteristic, complemented
94#19098883C2211yescharacteristic, complemented
95#19098881C2211yescharacteristic, complemented
96#19098880C2211yescharacteristic, complemented
97#19098878C2211yescharacteristic, complemented
98#19098877C2211yescharacteristic, complemented
99#19098875C2211yescharacteristic, complemented
100#19098874C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098860C2211yescharacteristic, complemented
104#19098852C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic, complemented
106#19098842C2211yescharacteristic, complemented
107#19098841C2211yescharacteristic, complemented
108#19098815C2211yescharacteristic, complemented
109#19098814C2211yescharacteristic, complemented
110#19098813C2211yescharacteristic, complemented
111#19098810C2211yescharacteristic, complemented
112#19098809C2211yescharacteristic, complemented
113#19098808C2211yescharacteristic, complemented
114#19098807C2211yescharacteristic, complemented
115#19098798C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic, complemented
117#19098796C2211yescharacteristic, complemented
118#19098793C2211yescharacteristic, complemented
119#19098792C2211yescharacteristic, complemented
120#19098791C2211yescharacteristic, complemented
121#19098790C2211yescharacteristic, complemented
122#19098764C2211yescharacteristic, complemented
123#19098762C2211yescharacteristic, complemented
124#19098762C2211yescharacteristic, complemented
125#19098760C2211yescharacteristic, complemented
126#19098758C2211yescharacteristic, complemented
127#19098756C2211yescharacteristic, complemented
128#19098756C2211yescharacteristic, complemented
129#19098716C2211yescharacteristic, complemented
130#19098716C2211yescharacteristic, complemented
131#19098715C2211yescharacteristic, complemented
132#19098715C2211yescharacteristic, complemented
133#19098715C2211yescharacteristic, complemented
134#19098715C2211yescharacteristic, complemented
135#19098714C2211yescharacteristic, complemented
136#19098714C2211yescharacteristic, complemented
137#19098696C2211yescharacteristic, complemented
138#19098696C2211yescharacteristic, complemented
139#19098695C2211yescharacteristic, complemented
140#19098695C2211yescharacteristic, complemented
141#19098695C2211yescharacteristic, complemented
142#19098695C2211yescharacteristic, complemented
143#19098673C2211yescharacteristic, complemented
144#19098665C2211yescharacteristic, complemented
145#19098663C2211yescharacteristic, complemented
146#19098654C2211yescharacteristic, complemented
147#19098650C2211yescharacteristic, complemented
148D8×Dic79C2211yescharacteristic, complemented
149#19098643C2211yescharacteristic, complemented
150#19098639C2211yescharacteristic, complemented
151#19098638C2211yescharacteristic, complemented
152#19098636C2211yescharacteristic, complemented
153#19098635C2211yescharacteristic, complemented
154#19098633C2211yescharacteristic, complemented
155C8×C22⋊D79C2211yescharacteristic, complemented
156(C22⋊D79)⋊C8C2211yescharacteristic, complemented
157#19098604C2211yescharacteristic, complemented
158#19098602C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic, complemented
160#19098585C2211yescharacteristic, complemented
161#19098569C2211yescharacteristic, complemented
162#19098568C2211yescharacteristic, complemented
163#19098567C2211yescharacteristic, complemented
164#19098566C2211yescharacteristic
165#19098566C2211yescharacteristic
166#19098566C2211yescharacteristic
167#19098566C2211yescharacteristic, complemented
168#19098566C2211yescharacteristic, complemented
169#19098566C2211yescharacteristic, complemented
170#19098566C2211yescharacteristic, complemented
171#19098566C2211yescharacteristic, complemented
172#19098566C2211yescharacteristic, complemented
173#19098566C2211yescharacteristic, complemented
174#19098566C2211yescharacteristic, complemented
175#19098566C2211yescharacteristic, complemented
176#19098566C2211yescharacteristic, complemented
177#19098561C2211yescharacteristic, complemented
178C2×#14579083C2211yescharacteristic, complemented
179C2×#14579082C2211yescharacteristic, complemented
180C2×#14579081C2211yescharacteristic, complemented
181#102×D79C2211yescharacteristic, complemented
182#102×D79C2211yescharacteristic, complemented
183#102×D79C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187#19098515C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C24×D79—21no—
205C2×#11929623—21no—
206C2×#11929623C2311yescharacteristic
207C22×D316—21no—
208C22×D316C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×C22⋊D79—21no—
211C22×C22⋊D79—21no—
212C22×C22⋊D79—21no—
213C22×C22⋊D79—21no—
214C2×D4×D79—24no—
215C2×D4×D79—24no—
216C2×D4×D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—21no—
223C2×D4×D79—21no—
224C2×D4×D79—21no—
225C2×D4×D79—21no—
226C2×D4×D79—21no—
227C2×D4×D79—21no—
228C2×D4×D79—42no—
229C2×D4×D79—42no—
230C2×D4×D79—48no—
231C2×D4×D79D411yescharacteristic
232C2×D4×D79C2311yescharacteristic
233C2×D4×D79C2311yescharacteristic
234C2×D4×D79C2311yescharacteristic
235C2×D4×D79C2311yescharacteristic
236C2×D4×D79C2311yescharacteristic
237C2×D4×D79C2311yescharacteristic
238C2×D4×D79C2311yescharacteristic
239C22×C4×D79—21no—
240C22×C4×D79C2311yescharacteristic
241C22×C4×D79C2311yescharacteristic
242#14579185—24no—
243#14579185—42no—
244#14579185—42no—
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic, complemented
247C2×#11929613C2311yescharacteristic, complemented
248C2×#11929612C2311yescharacteristic
249C2×#11929612C2311yescharacteristic, complemented
250C2×#11929612C2311yescharacteristic, complemented
251C2×#11929609C2311yescharacteristic
252C2×#11929609C2311yescharacteristic, complemented
253C2×#11929609C2311yescharacteristic, complemented
254C2×#11929608C2311yescharacteristic, complemented
255C2×#11929607—42no—
256C2×#11929607C2311yescharacteristic
257C2×#11929607C2311yescharacteristic
258C2×#11929607C2311yescharacteristic
259C2×#11929607C2311yescharacteristic
260C2×#11929607C2311yescharacteristic, complemented
261C2×#11929607C2311yescharacteristic, complemented
262M16×D79—42no—
263C22×C79⋊C8C2311yescharacteristic, complemented
264C2×C8×D79C2311yescharacteristic, complemented
265C2×C8×D79C2311yescharacteristic, complemented
266#14579160C2311yescharacteristic, complemented
267#14579160C2311yescharacteristic, complemented
268#14579158C2311yescharacteristic
269#14579157—21no—
270#14579157—21no—
271#14579157C2311yescharacteristic
272#14579157C2311yescharacteristic
273#14579156—21no—
274#14579155—21no—
275#14579154—21no—
276#14579154—21no—
277#14579154—21no—
278#14579153C2311yescharacteristic, complemented
279#14579152—21no—
280#14579151—21no—
281#14579151—21no—
282#14579148—21no—
283#14579147—21no—
284#14579147—21no—
285#14579146—21no—
286#14579144—21no—
287#14579143—21no—
288#14579143—21no—
289#14579143—21no—
290#14579142—21no—
291#14579142—21no—
292#14579141C2311yescharacteristic, complemented
293#14579141C2311yescharacteristic, complemented
294#14579140—21no—
295#14579140C2311yescharacteristic, complemented
296#14579140C2311yescharacteristic, complemented
297#14579139—21no—
298#14579139—21no—
299#14579139—21no—
300#14579138—21no—
301#14579136—21no—
302#14579136C2311yescharacteristic
303#14579136C2311yescharacteristic
304#14579135—21no—
305#14579135C2311yescharacteristic
306#14579135C2311yescharacteristic
307#14579134—21no—
308#14579134—21no—
309#14579134—21no—
310#14579134—21no—
311#14579134—21no—
312#14579133—21no—
313#14579133—21no—
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579132—21no—
318#14579132C2311yescharacteristic
319#14579132C2311yescharacteristic
320#14579132C2311yescharacteristic, complemented
321#14579132C2311yescharacteristic, complemented
322#14579131—21no—
323#14579131—21no—
324#14579131—21no—
325#14579131—21no—
326#14579131—21no—
327#14579131—21no—
328#14579130—21no—
329#14579130—21no—
330#14579129—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336#14579129—21no—
337#14579129—21no—
338C4×Dic158—21no—
339C4×Dic158C2311yescharacteristic, complemented
340#14579126—21no—
341#14579126—21no—
342#14579126C2311yescharacteristic, complemented
343C4×D316C2311yescharacteristic
344C4×D316C2311yescharacteristic
345D4×Dic79—21no—
346D4×Dic79—21no—
347D4×Dic79D411yescharacteristic
348D4×Dic79C2311yescharacteristic
349D4×Dic79C2311yescharacteristic, complemented
350#14579123D411yescharacteristic
351#14579123C2311yescharacteristic
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79C2311yescharacteristic
357C4×C22⋊D79C2311yescharacteristic
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4D411yescharacteristic
363(C22⋊D79)⋊C4D411yescharacteristic
364#14579120C2311yescharacteristic, complemented
365#14579119—21no—
366#14579119—21no—
367#14579119—21no—
368#14579119C2311yescharacteristic
369#14579119C2311yescharacteristic
370#14579119C2311yescharacteristic
371#14579119C2311yescharacteristic, complemented
372#14579119C2311yescharacteristic, complemented
373#14579118—21no—
374#14579117—21no—
375#14579117—21no—
376#14579117—21no—
377#14579117—21no—
378C2×C4⋊Dic79C2311yescharacteristic, complemented
379C4⋊C4×D79D411yescharacteristic
380C4⋊C4×D79C2311yescharacteristic
381C4⋊C4×D79C2311yescharacteristic, complemented
382C4⋊C4×D79C2311yescharacteristic, complemented
383C2×(C2×D79)⋊C4—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79—21no—
387C22⋊C4×D79—21no—
388C22⋊C4×D79D411yescharacteristic
389C22⋊C4×D79D411yescharacteristic
390C2×C4×Dic79—21no—
391C2×C4×Dic79—21no—
392C42×D79—21no—
393C42×D79C2311yescharacteristic
394#14579095C2311yescharacteristic, complemented
395#14579095C2311yescharacteristic, complemented
396#14579094C2311yescharacteristic, complemented
397#14579094C2311yescharacteristic, complemented
398#14579094C2311yescharacteristic, complemented
399#14579093C2311yescharacteristic, complemented
400#14579092C2311yescharacteristic, complemented
401#14579092C2311yescharacteristic, complemented
402#14579092C2311yescharacteristic, complemented
403C4⋊(C79⋊C8)C2311yescharacteristic, complemented
404Dic79⋊C8C2311yescharacteristic, complemented
405Dic79⋊C8C2311yescharacteristic, complemented
406#14579086C2311yescharacteristic, complemented
407#14579084C2311yescharacteristic, complemented
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic, complemented
412#14579083C2311yescharacteristic, complemented
413#14579083C2311yescharacteristic, complemented
414#14579083C2311yescharacteristic, complemented
415#14579083C2311yescharacteristic, complemented
416#14579083C2311yescharacteristic, complemented
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic, complemented
421#14579082C2311yescharacteristic, complemented
422#14579082C2311yescharacteristic, complemented
423#14579082C2311yescharacteristic, complemented
424#14579082C2311yescharacteristic, complemented
425#14579082C2311yescharacteristic, complemented
426#14579082C2311yescharacteristic, complemented
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic, complemented
431#14579081C2311yescharacteristic, complemented
432#14579081C2311yescharacteristic, complemented
433#14579081C2311yescharacteristic, complemented
434#14579081C2311yescharacteristic, complemented
435#14579081C2311yescharacteristic, complemented
436C22⋊(C79⋊C8)C2311yescharacteristic, complemented
437C22⋊(C79⋊C8)C2311yescharacteristic, complemented
438(C2×D79)⋊C8C2311yescharacteristic, complemented
439(C2×D79)⋊C8C2311yescharacteristic, complemented
440(C2×D79)⋊C8C2311yescharacteristic, complemented
441(C2×D79)⋊C8C2311yescharacteristic, complemented
442#14579072C2311yescharacteristic, complemented
443C8×Dic79C2311yescharacteristic, complemented
444C8×Dic79C2311yescharacteristic, complemented
445C22×D4×C79—21no—
446C22×D4×C79C2311yescharacteristic
447C22×D4×C79C2311yescharacteristic
448C2×D8×C79C2311yescharacteristic
449C2×D8×C79C2311yescharacteristic, complemented
450C2×D8×C79C2311yescharacteristic, complemented
451C2×M16×C79C2311yescharacteristic, complemented
452C22×C8×C79C2311yescharacteristic, complemented
453#127×C79C2311yescharacteristic
454#126×C79—21no—
455#125×C79C2311yescharacteristic, complemented
456#123×C79—21no—
457#121×C79—21no—
458#121×C79—21no—
459#121×C79C2311yescharacteristic
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic, complemented
462#121×C79C2311yescharacteristic, complemented
463#120×C79—21no—
464#120×C79—21no—
465C4×D4×C79—21no—
466C4×D4×C79C2311yescharacteristic
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic, complemented
469#117×C79C2311yescharacteristic, complemented
470C2×C4⋊C4×C79C2311yescharacteristic, complemented
471#107×C79C2311yescharacteristic, complemented
472#106×C79C2311yescharacteristic, complemented
473#106×C79C2311yescharacteristic, complemented
474C4⋊C8×C79C2311yescharacteristic, complemented
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic, complemented
479#102×C79C2311yescharacteristic, complemented
480#102×C79C2311yescharacteristic, complemented
481#102×C79C2311yescharacteristic, complemented
482#102×C79C2311yescharacteristic, complemented
483#102×C79C2311yescharacteristic, complemented
484#102×C79C2311yescharacteristic, complemented
485C22⋊C8×C79C2311yescharacteristic, complemented
486C22⋊C8×C79C2311yescharacteristic, complemented
487#97×C79C2311yescharacteristic, complemented
488C23×D79—21no—
489C23×D79—21no—
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—21no—
497C23×D79—44no—
498C23×D79—44no—
499C23×D79—44no—
500C23×D79—44no—
501C23×D79—82no—
502C23×D79—82no—
503C23×D79C2×D411yescharacteristic
504C23×D79C2×D411yescharacteristic
505#11929623—22no—
506#11929623—22no—
507#11929623—44no—
508C2×Dic158—21no—
509C2×Dic158—21no—
510C2×Dic158C2411yescharacteristic
511C2×D316—21no—
512C2×D316—21no—
513C2×D316—22no—
514C2×D316—22no—
515C2×D316—21no—
516C2×D316—21no—
517C2×D316—21no—
518C2×D316—21no—
519C2×D316—41no—
520C2×D316—41no—
521C2×D316—44no—
522C2×D316C2×D411yescharacteristic
523C2×D316C2411yescharacteristic
524C2×D316C2411yescharacteristic
525C2×D316C2411yescharacteristic
526C2×C22⋊D79—21no—
527C2×C22⋊D79—21no—
528C2×C22⋊D79—21no—
529C2×C22⋊D79—21no—
530C2×C22⋊D79—21no—
531C2×C22⋊D79—21no—
532C2×C22⋊D79—21no—
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—44no—
545C2×C22⋊D79—44no—
546C2×C22⋊D79—44no—
547C2×C22⋊D79—44no—
548C2×C22⋊D79C2×D411yescharacteristic
549C2×C22⋊D79C2×D411yescharacteristic
550D4×D79—22no—
551D4×D79—24no—
552D4×D79—22no—
553D4×D79—22no—
554D4×D79—22no—
555D4×D79—22no—
556D4×D79—22no—
557D4×D79—22no—
558D4×D79—22no—
559D4×D79—22no—
560D4×D79—44no—
561D4×D79—44no—
562D4×D79—44no—
563D4×D79—41no—
564D4×D79—41no—
565D4×D79—41no—
566D4×D79—41no—
567D4×D79—44no—
568D4×D79—44no—
569D4×D79—44no—
570D4×D79—44no—
571D4×D79—44no—
572D4×D79—44no—
573D4×D79—44no—
574D4×D79—44no—
575D4×D79—82no—
576D4×D79#4114yescomplemented
577C22×Dic79—21no—
578C22×Dic79—21no—
579C22×Dic79—21no—
580C22×Dic79—21no—
581C22×Dic79C2×D411yescharacteristic
582C22×Dic79C2×D411yescharacteristic
583C2×C4×D79—22no—
584C2×C4×D79—22no—
585C2×C4×D79—22no—
586C2×C4×D79—22no—
587C2×C4×D79—21no—
588C2×C4×D79—21no—
589C2×C4×D79—21no—
590C2×C4×D79—21no—
591C2×C4×D79—21no—
592C2×C4×D79—44no—
593C2×C4×D79C2×D411yescharacteristic
594C2×C4×D79C2×D411yescharacteristic
595C2×C4×D79C2×D411yescharacteristic
596C2×C4×D79C2×D411yescharacteristic
597C2×C4×D79C2×D411yescharacteristic
598C2×C4×D79C2×D411yescharacteristic
599C2×C4×D79C2411yescharacteristic
600C2×C4×D79C2411yescharacteristic
601C2×C4×D79C2411yescharacteristic
602#11929613—22no—
603#11929613—41no—
604#11929613—41no—
605#11929612—22no—
606#11929612—41no—
607#11929612—41no—
608#11929609—22no—
609#11929609—41no—
610#11929609—41no—
611#11929608—41no—
612#11929607—22no—
613#11929607—22no—
614#11929607—22no—
615#11929607—22no—
616#11929607—41no—
617#11929607—41no—
618C2×C79⋊C8—41no—
619C2×C79⋊C8C2411yescharacteristic
620C2×C79⋊C8C2411yescharacteristic
621C2×C79⋊C8C2411yescharacteristic
622C2×C79⋊C8C2411yescharacteristic
623C8×D79—41no—
624C8×D79—41no—
625C4⋊Dic79—21no—
626C4⋊Dic79—21no—
627C4⋊Dic79—21no—
628C4⋊Dic79C2×D411yescharacteristic
629C4⋊Dic79C2411yescharacteristic
630C4⋊Dic79C2411yescharacteristic
631C4⋊Dic79C2411yescharacteristic
632C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
643Dic79⋊C4—21no—
644Dic79⋊C4C2×D411yescharacteristic
645Dic79⋊C4C2×D411yescharacteristic
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79—21no—
652C22⋊Dic79—21no—
653C22⋊Dic79—21no—
654C22⋊Dic79—21no—
655C22⋊Dic79C2×D411yescharacteristic
656C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673(C2×D79)⋊C4C2×D411yescharacteristic
674C4×Dic79—21no—
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
685C24×C79—21no—
686C24×C79—21no—
687C2×D4×C79—22no—
688C2×D4×C79—22no—
689C2×D4×C79—21no—
690C2×D4×C79—21no—
691C2×D4×C79—21no—
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—41no—
698C2×D4×C79—41no—
699C2×D4×C79—44no—
700C2×D4×C79C2×D411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C2×D4×C79C2411yescharacteristic
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710D8×C79—22no—
711D8×C79—41no—
712D8×C79—41no—
713M16×C79—41no—
714C2×C8×C79—41no—
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
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×C79—21no—
741C23×C79—21no—
742C23×C79—42no—
743C23×C79—42no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—81no—
747C23×C79—81no—
748C23×C79C22×D411yescharacteristic
749C23×C79C22×D411yescharacteristic
750C22×D79—22no—
751C22×D79—21no—
752C22×D79—22no—
753C22×D79—22no—
754C22×D79—24no—
755C22×D79—22no—
756C22×D79—21no—
757C22×D79—21no—
758C22×D79—41no—
759C22×D79—41no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—42no—
766C22×D79—42no—
767C22×D79—42no—
768C22×D79—42no—
769C22×D79—42no—
770C22×D79—42no—
771C22×D79—42no—
772C22×D79—42no—
773C22×D79—42no—
774C22×D79—42no—
775C22×D79—42no—
776C22×D79—42no—
777C22×D79—42no—
778C22×D79—42no—
779C22×D79—42no—
780C22×D79—81no—
781C22×D79—81no—
782C22×D79—81no—
783C22×D79—81no—
784C22×D79—81no—
785C22×D79—81no—
786C22×D79—816no—
787C22×D79—816no—
788C22×D79C22×D411yescharacteristic
789C22×D79C22×D411yescharacteristic
790C22×D79C22×D411yescharacteristic
791D4×C79—22no—
792D4×C79—21no—
793D4×C79—21no—
794D4×C79—21no—
795D4×C79—21no—
796D4×C79—21no—
797D4×C79—21no—
798D4×C79—21no—
799D4×C79—42no—
800D4×C79—42no—
801D4×C79—42no—
802D4×C79—42no—
803D4×C79—42no—
804D4×C79—42no—
805D4×C79—81no—
806D4×C79—81no—
807D4×C79C2×#4112yes—
808C2×C4×C79—21no—
809C2×C4×C79—21no—
810C2×C4×C79—21no—
811C2×C4×C79—21no—
812C2×C4×C79—21no—
813C2×C4×C79—21no—
814C2×C4×C79—21no—
815C2×C4×C79—21no—
816C2×C4×C79—42no—
817C2×C4×C79—81no—
818C2×C4×C79—81no—
819C2×C4×C79C22×D411yescharacteristic
820C2×C4×C79C22×D411yescharacteristic
821C2×C4×C79C22×D411yescharacteristic
822C2×C4×C79C22×D411yescharacteristic
823C2×C4×C79C2511yescharacteristic
824C22⋊D79—24no—
825C22⋊D79—22no—
826C22⋊D79—42no—
827C22⋊D79—42no—
828C22⋊D79—42no—
829C22⋊D79—42no—
830C22⋊D79—42no—
831C22⋊D79—42no—
832C22⋊D79—42no—
833C22⋊D79—42no—
834C22⋊D79—42no—
835C22⋊D79—42no—
836C22⋊D79—42no—
837C22⋊D79—42no—
838C22⋊D79—42no—
839C22⋊D79—42no—
840C22⋊D79—81no—
841C22⋊D79—81no—
842C22⋊D79—81no—
843C22⋊D79AGL(1,ℤ/8)14yescomplemented
844C2×Dic79—22no—
845C2×Dic79—22no—
846C2×Dic79—21no—
847C2×Dic79—21no—
848C2×Dic79—21no—
849C2×Dic79—21no—
850C2×Dic79—21no—
851C2×Dic79—42no—
852C2×Dic79—42no—
853C2×Dic79—42no—
854C2×Dic79—42no—
855C2×Dic79C22×D411yescharacteristic
856C2×Dic79C22×D411yescharacteristic
857C2×Dic79C22×D411yescharacteristic
858C2×Dic79C22×D411yescharacteristic
859C2×Dic79C22×D411yescharacteristic
860D316—22no—
861D316—21no—
862D316—21no—
863D316—21no—
864D316—21no—
865D316—21no—
866D316—42no—
867D316—42no—
868D316—42no—
869D316—42no—
870D316—42no—
871D316—81no—
872D316C2×#4112yes—
873C4×D79—22no—
874C4×D79—22no—
875C4×D79—21no—
876C4×D79—21no—
877C4×D79—21no—
878C4×D79—21no—
879C4×D79—22no—
880C4×D79—22no—
881C4×D79—22no—
882C4×D79—41no—
883C4×D79—42no—
884C4×D79—42no—
885C4×D79—42no—
886C4×D79—42no—
887C4×D79—81no—
888C4×D79C2×#4112yes—
889C4×D79H(5,𝔽2)12yes—
890Dic158—21no—
891Dic158—21no—
892Dic158—42no—
893Dic158—81no—
894C8×C79—21no—
895C8×C79—21no—
896C8×C79—21no—
897C8×C79—21no—
898C79⋊C8—21no—
899C79⋊C8—21no—
900C79⋊C8—21no—
901C79⋊C8—21no—
902C22×C79—21no—
903C22×C79—21no—
904C22×C79—21no—
905C22×C79—22no—
906C22×C79—21no—
907C22×C79—21no—
908C22×C79—41no—
909C22×C79—41no—
910C22×C79—41no—
911C22×C79—41no—
912C22×C79—41no—
913C22×C79—41no—
914C22×C79—41no—
915C22×C79—41no—
916C22×C79—41no—
917C22×C79—41no—
918C22×C79—41no—
919C22×C79—84no—
920C22×C79—84no—
921C22×C79C2×AGL(1,ℤ/8)12yes—
922C22×C79C23×D411yescharacteristic
923C2×D79—21no—
924C2×D79—21no—
925C2×D79—21no—
926C2×D79—21no—
927C2×D79—21no—
928C2×D79—22no—
929C2×D79—21no—
930C2×D79—21no—
931C2×D79—44no—
932C2×D79—44no—
933C2×D79—48no—
934C2×D79—41no—
935C2×D79—41no—
936C2×D79—41no—
937C2×D79—41no—
938C2×D79—41no—
939C2×D79—41no—
940C2×D79—41no—
941C2×D79—41no—
942C2×D79—84no—
943C2×D79—84no—
944C2×D79—84no—
945C2×D79—84no—
946C2×D79—84no—
947C2×D79—84no—
948C2×D79—84no—
949C2×D79—84no—
950C2×D79#54612yes—
951C2×D79C2×AGL(1,ℤ/8)12yes—
952C4×C79—21no—
953C4×C79—21no—
954C4×C79—21no—
955C4×C79—21no—
956C4×C79—41no—
957C4×C79—41no—
958C4×C79—41no—
959C4×C79—41no—
960C4×C79C22×#4111yescharacteristic
961C4×C79C2×H(5,𝔽2)11yescharacteristic
962Dic79—21no—
963Dic79—21no—
964Dic79—21no—
965Dic79—41no—
966Dic79—41no—
967Dic79—41no—
968Dic79—41no—
969Dic79—41no—
970Dic79#54612yes—
971Dic79C2×AGL(1,ℤ/8)12yes—
972#61155—791nomaximal, Sylow
973C2×C79—22no—
974C2×C79—41no—
975C2×C79—42no—
976C2×C79—81no—
977C2×C79—81no—
978C2×C79—81no—
979C2×C79C2×#54611yescharacteristic
980C2×C79C22×AGL(1,ℤ/8)11yescharacteristic
981C2×C79#358511yescharacteristic
982D79—22no—
983D79—22no—
984D79—41no—
985D79—42no—
986D79—81no—
987D79—81no—
988#3475—791no—
989C2×D42—791no—
990#3325—791no—
991#3325—791no—
992#3324—791no—
993#3324—791no—
994#3318—791no—
995#3318—791no—
996#3318—791no—
997#3318D7911yescharacteristic, complemented
998#3310—791no—
999#3310—791no—
1000#3310—791no—
1001#3310—791no—
1002#3295—791no—
1003#3295—791no—
1004#3294—791no—
1005#3294—791no—
1006#3138—791no—
1007#3094—791no—
1008#3094—791no—
1009#3077—791no—
1010#3055—791no—
1011#3055—791no—
1012#3038—791no—
1013#3003—791no—
1014#3003—791no—
1015C4×AGL(1,ℤ/8)—791no—
1016D4×M16—791no—
1017C2×#418—791no—
1018C2×#418—791no—
1019C79#6115511yescharacteristic, complemented, Sylow
1020C23×D4—791no—
1021C23×D4—791no—
1022C23×D4—1581no—
1023C2×AGL(1,ℤ/8)—791no—
1024C2×AGL(1,ℤ/8)—791no—
1025C2×AGL(1,ℤ/8)—791no—
1026C22×M16—791no—
1027C22×M16—791no—
1028#556—791no—
1029#555—791no—
1030#554—791no—
1031#553—791no—
1032#553C2×D7911yescharacteristic, complemented
1033#552—791no—
1034#552—791no—
1035#552—1581no—
1036#551—1581no—
1037#551—1581no—
1038#547—791no—
1039#546—1581no—
1040D42—791no—
1041D42—791no—
1042D42—791no—
1043D42—791no—
1044D42—791no—
1045D42—791no—
1046D42—791no—
1047D42—1581no—
1048D42—1581no—
1049D42—1581no—
1050D42—1581no—
1051D42C2×D7911yescharacteristic
1052#533—791no—
1053C2×#127—791no—
1054#529—1581no—
1055#529—1581no—
1056#529—1581no—
1057#525—791no—
1058#525—791no—
1059C2×#121—791no—
1060C2×#121—791no—
1061C2×#121—1581no—
1062C2×#120—1581no—
1063C2×#120—1581no—
1064C4×#41—791no—
1065C4×#41—1581no—
1066C2×C4×D4—791no—
1067C2×C4×D4—791no—
1068C2×#117—791no—
1069C2×#117—791no—
1070#490—791no—
1071#490—791no—
1072#490—791no—
1073#490C2×D7911yescharacteristic, complemented
1074#486—791no—
1075#486—791no—
1076#486—791no—
1077#486—791no—
1078#482—791no—
1079#482—791no—
1080#482—791no—
1081#482—791no—
1082#482—791no—
1083#482—791no—
1084#482—791no—
1085#482C2×D7911yescharacteristic, complemented
1086#481—791no—
1087#481—791no—
1088#481—791no—
1089#481C2×D7911yescharacteristic, complemented
1090#480—791no—
1091#480—791no—
1092#480—791no—
1093#480—791no—
1094#478—791no—
1095#478—791no—
1096#478—791no—
1097#478C2×D7911yescharacteristic, complemented
1098#476—791no—
1099#476—791no—
1100#474—791no—
1101#474—791no—
1102#469—791no—
1103#469—791no—
1104#469—791no—
1105#469C2×D7911yescharacteristic, complemented
1106#468—791no—
1107#468—791no—
1108#468—791no—
1109#468—791no—
1110#466—791no—
1111#466—791no—
1112#466—791no—
1113#466C2×D7911yescharacteristic, complemented
1114#465—791no—
1115#465—791no—
1116#465—791no—
1117#465—791no—
1118#460—791no—
1119#460—791no—
1120#460—791no—
1121#460—791no—
1122#459—791no—
1123#459—791no—
1124#459—791no—
1125#459C2×D7911yescharacteristic, complemented
1126#450—791no—
1127#450—791no—
1128#450—791no—
1129#450—791no—
1130#450—791no—
1131#450—791no—
1132#450—791no—
1133#450—791no—
1134#447—791no—
1135#447—791no—
1136#447—791no—
1137#447—791no—
1138#447—791no—
1139#447—791no—
1140#447C2×D7911yescharacteristic, complemented
1141#447C2×D7911yescharacteristic, complemented
1142#442—791no—
1143#442C2×D7911yescharacteristic, complemented
1144#440—791no—
1145#440—791no—
1146C4×SD16—791no—
1147C4×SD16—791no—
1148C4×D8—791no—
1149C4×D8—791no—
1150#436—791no—
1151#436—791no—
1152#435—791no—
1153#435—791no—
1154#435—791no—
1155#435C2×D7911yescharacteristic, complemented
1156C8×D4—791no—
1157C8×D4—791no—
1158#428—791no—
1159#428—791no—
1160#428—791no—
1161#423—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#418—791no—
1166#418—791no—
1167#418—791no—
1168#418—791no—
1169#418—791no—
1170#418—791no—
1171#418—791no—
1172#418—791no—
1173#418—791no—
1174#418—791no—
1175#418—791no—
1176#418—791no—
1177#418—791no—
1178#418C2×D7911yescharacteristic, complemented
1179#417—791no—
1180C2×#102—791no—
1181C2×#102—791no—
1182C2×#102—791no—
1183C2×#102—791no—
1184C2×#102—791no—
1185C2×#102—791no—
1186C2×#102—791no—
1187C2×#102C2×D7911yescharacteristic, complemented
1188#407—791no—
1189#407—791no—
1190C4×M16—791no—
1191C25—1581no—
1192C25—1581no—
1193C2×#41—791no—
1194C2×#41—1581no—
1195C22×D4—21no—
1196C22×D4—3168no—
1197C22×D4—3162no—
1198C22×D4—3162no—
1199C22×D4—791no—
1200C22×D4—791no—
1201C22×D4—791no—
1202C22×D4—791no—
1203C22×D4—791no—
1204C22×D4—791no—
1205C22×D4—791no—
1206C22×D4—791no—
1207C22×D4—791no—
1208C22×D4—791no—
1209C22×D4—1581no—
1210C22×D4—1581no—
1211C22×D4—1581no—
1212C22×D4—1581no—
1213C22×D4—1581no—
1214C22×D4—1581no—
1215C22×D4—1581no—
1216C22×D4—1581no—
1217C22×D4—1581no—
1218C22×D4—1581no—
1219C22×D4—1581no—
1220C22×D4—1581no—
1221C22×D4—1581no—
1222C22×D4—1581no—
1223C22×D4—1584no—
1224C22×D4—1584no—
1225C22×D4—1581no—
1226C22×D4—1581no—
1227C22×D4—1581no—
1228C22×D4C22×D7911yescharacteristic
1229C22×D4C22×D7911yescharacteristic
1230C23×C4—791no—
1231C23×C4—791no—
1232C23×C4—1581no—
1233AGL(1,ℤ/8)—3162no—
1234AGL(1,ℤ/8)—3162no—
1235AGL(1,ℤ/8)—1584no—
1236C2×SD16—791no—
1237C2×SD16—791no—
1238C2×SD16—791no—
1239C2×SD16—791no—
1240C2×SD16—791no—
1241C2×SD16—791no—
1242C2×D8—791no—
1243C2×D8—791no—
1244C2×D8—791no—
1245C2×D8C22×D7911yescharacteristic
1246C2×D8C22×D7911yescharacteristic, complemented
1247C2×D8C22×D7911yescharacteristic, complemented
1248C2×M16—3162no—
1249C2×M16—3162no—
1250C2×M16—791no—
1251C2×M16—791no—
1252C2×M16—791no—
1253C2×M16—791no—
1254C2×M16—791no—
1255C2×M16—791no—
1256C2×M16—791no—
1257C2×M16C22×D7911yescharacteristic, complemented
1258C22×C8—791no—
1259C22×C8—791no—
1260C22×C8—791no—
1261C22×C8C22×D7911yescharacteristic, complemented
1262C4⋊Q8—791no—
1263C4⋊Q8—791no—
1264#127—791no—
1265#127—791no—
1266#127—791no—
1267#127—1581no—
1268#127—1581no—
1269#127C22×D7911yescharacteristic
1270#126—21no—
1271#126—1581no—
1272#126—1581no—
1273#126—1581no—
1274#126—1581no—
1275#126—1581no—
1276#125—791no—
1277#125—1581no—
1278#125—1581no—
1279#125—1581no—
1280#125C22×D7911yescharacteristic, complemented
1281#124—1581no—
1282#124—1581no—
1283#124—1581no—
1284#123—21no—
1285#123—1581no—
1286#123—1581no—
1287#123—1581no—
1288#123—1581no—
1289#123—1581no—
1290#123—1581no—
1291#123—1581no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—791no—
1295C22⋊Q8—791no—
1296C22⋊Q8—1581no—
1297C22⋊Q8—1581no—
1298C22⋊Q8—1581no—
1299C22⋊Q8—1581no—
1300C22⋊Q8—1581no—
1301#121—21no—
1302#121—21no—
1303#121—791no—
1304#121—791no—
1305#121—791no—
1306#121—791no—
1307#121—791no—
1308#121—791no—
1309#121—791no—
1310#121—791no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121C22×D7911yescharacteristic
1325#121C22×D7911yescharacteristic
1326#121C22×D7911yescharacteristic, complemented
1327#121C22×D7911yescharacteristic, complemented
1328#120—21no—
1329#120—21no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339#120—1581no—
1340#120—1581no—
1341#120—1581no—
1342#120—1581no—
1343#120—1581no—
1344#120—1581no—
1345#120—1581no—
1346C4×Q8—791no—
1347C4×Q8—791no—
1348C4×Q8—1581no—
1349C4×Q8—1581no—
1350C4×Q8—1581no—
1351C4×D4—21no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
1355C4×D4—791no—
1356C4×D4—791no—
1357C4×D4—791no—
1358C4×D4—791no—
1359C4×D4—791no—
1360C4×D4—791no—
1361C4×D4—791no—
1362C4×D4—791no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366C4×D4—1581no—
1367C4×D4—1581no—
1368C4×D4—1581no—
1369C4×D4—1581no—
1370C4×D4—1581no—
1371C4×D4—1581no—
1372C4×D4—1581no—
1373C4×D4C22×D7911yescharacteristic
1374C4×D4C22×D7911yescharacteristic
1375C4×D4C22×D7911yescharacteristic, complemented
1376#117—791no—
1377#117—791no—
1378#117—791no—
1379#117—791no—
1380#117—791no—
1381#117—791no—
1382#117—1581no—
1383#117—1581no—
1384#117—1581no—
1385#117—1581no—
1386#117—1581no—
1387#117—1581no—
1388#117—1581no—
1389#117—1581no—
1390#117C22×D7911yescharacteristic, complemented
1391C2×C4⋊C4—791no—
1392C2×C4⋊C4—791no—
1393C2×C4⋊C4—791no—
1394C2×C4⋊C4—791no—
1395C2×C4⋊C4—791no—
1396C2×C4⋊C4C22×D7911yescharacteristic, complemented
1397C2×C22⋊C4—791no—
1398C2×C22⋊C4—791no—
1399C2×C22⋊C4—1581no—
1400C2×C22⋊C4—1581no—
1401C2×C22⋊C4—1581no—
1402C2×C22⋊C4—1581no—
1403C2×C22⋊C4—1581no—
1404C2×C42—791no—
1405C2×C42—1581no—
1406C2×C42—1581no—
1407C2×C42—1581no—
1408#107—791no—
1409#107—791no—
1410#107—791no—
1411#107—791no—
1412#107—791no—
1413#107C22×D7911yescharacteristic, complemented
1414#106—791no—
1415#106—791no—
1416#106—791no—
1417#106—791no—
1418#106C22×D7911yescharacteristic, complemented
1419#106C22×D7911yescharacteristic, complemented
1420C4⋊C8—791no—
1421C4⋊C8—791no—
1422C4⋊C8—791no—
1423C4⋊C8C22×D7911yescharacteristic, complemented
1424#103—791no—
1425#103—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102—791no—
1439#102—791no—
1440#102—791no—
1441#102—791no—
1442#102—791no—
1443#102—791no—
1444#102—791no—
1445#102—791no—
1446#102—791no—
1447#102—791no—
1448#102—791no—
1449#102—791no—
1450#102—791no—
1451#102—791no—
1452#102—791no—
1453#102—791no—
1454#102C22×D7911yescharacteristic
1455#102C22×D7911yescharacteristic
1456#102C22×D7911yescharacteristic
1457#102C22×D7911yescharacteristic, complemented
1458#102C22×D7911yescharacteristic, complemented
1459#102C22×D7911yescharacteristic, complemented
1460#102C22×D7911yescharacteristic, complemented
1461#102C22×D7911yescharacteristic, complemented
1462#102C22×D7911yescharacteristic, complemented
1463#102C22×D7911yescharacteristic, complemented
1464C22⋊C8—791no—
1465C22⋊C8—791no—
1466C22⋊C8—791no—
1467C22⋊C8—791no—
1468C22⋊C8—791no—
1469C22⋊C8—791no—
1470C22⋊C8C22×D7911yescharacteristic, complemented
1471C22⋊C8C22×D7911yescharacteristic, complemented
1472#97—791no—
1473#97C22×D7911yescharacteristic, complemented
1474C4×C8—791no—
1475C4×C8—791no—
1476C24—21no—
1477C24—21no—
1478C24—3164no—
1479C24—3164no—
1480C24—3164no—
1481C24—3164no—
1482C24—791no—
1483C24—791no—
1484C24—6322no—
1485C24—6322no—
1486C24—1581no—
1487C24—1581no—
1488C24—1581no—
1489C24—1581no—
1490C24—1581no—
1491C24—1581no—
1492C24—1581no—
1493C24—1581no—
1494C24—1581no—
1495#41—3164no—
1496#41—1582no—
1497#41—1582no—
1498C2×Q8—791no—
1499C2×Q8—1581no—
1500C2×Q8—1581no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—3161no—
1515C2×D4—3161no—
1516C2×D4—3164no—
1517C2×D4—3164no—
1518C2×D4—3164no—
1519C2×D4—3164no—
1520C2×D4—3164no—
1521C2×D4—3164no—
1522C2×D4—3164no—
1523C2×D4—3164no—
1524C2×D4—3164no—
1525C2×D4—3161no—
1526C2×D4—3161no—
1527C2×D4—3161no—
1528C2×D4—3161no—
1529C2×D4—3164no—
1530C2×D4—3164no—
1531C2×D4—3164no—
1532C2×D4—3164no—
1533C2×D4—3164no—
1534C2×D4—3164no—
1535C2×D4—3164no—
1536C2×D4—791no—
1537C2×D4—794no—
1538C2×D4—791no—
1539C2×D4—791no—
1540C2×D4—791no—
1541C2×D4—791no—
1542C2×D4—791no—
1543C2×D4—6322no—
1544C2×D4—1581no—
1545C2×D4—1581no—
1546C2×D4—1582no—
1547C2×D4—1582no—
1548C2×D4—1582no—
1549C2×D4—1582no—
1550C2×D4—1582no—
1551C2×D4—1582no—
1552C2×D4—1582no—
1553C2×D4—1581no—
1554C2×D4—1581no—
1555C2×D4—1581no—
1556C2×D4—1581no—
1557C2×D4—1581no—
1558C2×D4—1581no—
1559C2×D4—1581no—
1560C2×D4—1581no—
1561C2×D4—1581no—
1562C2×D4—1581no—
1563C2×D4—1581no—
1564C2×D4—1582no—
1565C2×D4—1582no—
1566C2×D4—1584no—
1567C2×D4—1581no—
1568C2×D4—1581no—
1569C2×D4—1581no—
1570C2×D4—1581no—
1571C2×D4—1581no—
1572C2×D4—1581no—
1573C2×D4—1582no—
1574C2×D4—1582no—
1575C2×D4—1581no—
1576C2×D4—1581no—
1577C2×D4—1581no—
1578C2×D4—1581no—
1579C2×D4—1581no—
1580C2×D4D4×D7911yescharacteristic
1581C2×D4C23×D7911yescharacteristic
1582C2×D4C23×D7911yescharacteristic
1583C2×D4C23×D7911yescharacteristic
1584C2×D4C23×D7911yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—3164no—
1589C22×C4—791no—
1590C22×C4—791no—
1591C22×C4—791no—
1592C22×C4—791no—
1593C22×C4—791no—
1594C22×C4—791no—
1595C22×C4—791no—
1596C22×C4—791no—
1597C22×C4—791no—
1598C22×C4—791no—
1599C22×C4—791no—
1600C22×C4—1581no—
1601C22×C4—1581no—
1602C22×C4—1581no—
1603C22×C4—1582no—
1604C22×C4—1582no—
1605C22×C4—1582no—
1606C22×C4—1582no—
1607C22×C4—1581no—
1608C22×C4—1581no—
1609C22×C4—1581no—
1610C22×C4—1581no—
1611C22×C4—1581no—
1612C22×C4—1581no—
1613C22×C4C23×D7911yescharacteristic
1614C22×C4C23×D7911yescharacteristic
1615SD16—3161no—
1616SD16—3161no—
1617SD16—3161no—
1618SD16—3161no—
1619SD16—1582no—
1620SD16—1582no—
1621D8—22no—
1622D8—41no—
1623D8—41no—
1624D8—3161no—
1625D8—3161no—
1626D8—1582no—
1627M16—41no—
1628M16—3161no—
1629M16—3161no—
1630M16—3161no—
1631M16—1582no—
1632M16—1582no—
1633M16—1582no—
1634M16—1582no—
1635C2×C8—41no—
1636C2×C8—3161no—
1637C2×C8—3161no—
1638C2×C8—3161no—
1639C2×C8—791no—
1640C2×C8—791no—
1641C2×C8—791no—
1642C2×C8—791no—
1643C2×C8C23×D7911yescharacteristic
1644C2×C8C23×D7911yescharacteristic
1645C2×C8C23×D7911yescharacteristic
1646C2×C8C23×D7911yescharacteristic
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—791no—
1651C4⋊C4—791no—
1652C4⋊C4—791no—
1653C4⋊C4—791no—
1654C4⋊C4—791no—
1655C4⋊C4—791no—
1656C4⋊C4—791no—
1657C4⋊C4—1581no—
1658C4⋊C4—1581no—
1659C4⋊C4—1581no—
1660C4⋊C4—1581no—
1661C4⋊C4—1581no—
1662C4⋊C4—1581no—
1663C4⋊C4—1581no—
1664C4⋊C4—1581no—
1665C4⋊C4—1581no—
1666C4⋊C4—1581no—
1667C4⋊C4—1581no—
1668C4⋊C4—1581no—
1669C4⋊C4—1581no—
1670C4⋊C4—1581no—
1671C4⋊C4D4×D7911yescharacteristic
1672C4⋊C4C23×D7911yescharacteristic
1673C4⋊C4C23×D7911yescharacteristic
1674C4⋊C4C23×D7911yescharacteristic
1675C4⋊C4C23×D7911yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—791no—
1684C22⋊C4—791no—
1685C22⋊C4—791no—
1686C22⋊C4—791no—
1687C22⋊C4—791no—
1688C22⋊C4—791no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4—1581no—
1703C22⋊C4—1581no—
1704C22⋊C4—1581no—
1705C22⋊C4—1581no—
1706C22⋊C4—1581no—
1707C22⋊C4—1581no—
1708C22⋊C4—1581no—
1709C22⋊C4—1581no—
1710C22⋊C4—1581no—
1711C22⋊C4D4×D7911yescharacteristic
1712C22⋊C4D4×D7911yescharacteristic
1713C42—21no—
1714C42—791no—
1715C42—791no—
1716C42—791no—
1717C42—1581no—
1718C42—1581no—
1719C42—1581no—
1720C42—1581no—
1721C42—1581no—
1722C42—1581no—
1723C42—1581no—
1724C42—1581no—
1725C42C23×D7911yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—42no—
1734C23—81no—
1735C23—81no—
1736C23—3161no—
1737C23—3161no—
1738C23—3162no—
1739C23—3162no—
1740C23—3162no—
1741C23—3162no—
1742C23—3162no—
1743C23—3162no—
1744C23—3162no—
1745C23—3162no—
1746C23—3162no—
1747C23—3162no—
1748C23—3162no—
1749C23—3162no—
1750C23—3162no—
1751C23—3162no—
1752C23—3162no—
1753C23—3162no—
1754C23—3162no—
1755C23—3162no—
1756C23—3162no—
1757C23—3162no—
1758C23—791no—
1759C23—791no—
1760C23—791no—
1761C23—6321no—
1762C23—6321no—
1763C23—6321no—
1764C23—6321no—
1765C23—6321no—
1766C23—6321no—
1767C23—63216no—
1768C23—63216no—
1769C23—1582no—
1770C23—1582no—
1771C23—1584no—
1772C23—1582no—
1773C23—1581no—
1774C23—1581no—
1775C23—1582no—
1776C23—1581no—
1777C23C2×D4×D7911yescharacteristic
1778C23C2×D4×D7911yescharacteristic
1779Q8—3162no—
1780Q8—6321no—
1781Q8—1581no—
1782Q8—1581no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—42no—
1797D4—81no—
1798D4—81no—
1799D4—3162no—
1800D4—3162no—
1801D4—3162no—
1802D4—3162no—
1803D4—3162no—
1804D4—3162no—
1805D4—3162no—
1806D4—3162no—
1807D4—3162no—
1808D4—3162no—
1809D4—3162no—
1810D4—3162no—
1811D4—3162no—
1812D4—3162no—
1813D4—3162no—
1814D4—3162no—
1815D4—3162no—
1816D4—3162no—
1817D4—3162no—
1818D4—794no—
1819D4—792no—
1820D4—6321no—
1821D4—6321no—
1822D4—6321no—
1823D4—6321no—
1824D4—1582no—
1825D4—1584no—
1826D4—1582no—
1827D4—1581no—
1828D4—1581no—
1829D4—1581no—
1830D4—1581no—
1831D4—1581no—
1832D4#41×D7912yes—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—42no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—3162no—
1845C2×C4—3161no—
1846C2×C4—3162no—
1847C2×C4—3162no—
1848C2×C4—3162no—
1849C2×C4—3162no—
1850C2×C4—3162no—
1851C2×C4—3162no—
1852C2×C4—3162no—
1853C2×C4—791no—
1854C2×C4—791no—
1855C2×C4—792no—
1856C2×C4—792no—
1857C2×C4—791no—
1858C2×C4—791no—
1859C2×C4—791no—
1860C2×C4—6321no—
1861C2×C4—1582no—
1862C2×C4—1582no—
1863C2×C4—1582no—
1864C2×C4—1582no—
1865C2×C4—1582no—
1866C2×C4—1581no—
1867C2×C4—1581no—
1868C2×C4—1581no—
1869C2×C4—1581no—
1870C2×C4—1581no—
1871C2×C4—1582no—
1872C2×C4—1582no—
1873C2×C4—1581no—
1874C2×C4—1581no—
1875C2×C4—1581no—
1876C2×C4—1581no—
1877C2×C4C2×D4×D7911yescharacteristic
1878C2×C4C2×D4×D7911yescharacteristic
1879C2×C4C2×D4×D7911yescharacteristic
1880C2×C4C2×D4×D7911yescharacteristic
1881C2×C4C24×D7911yescharacteristic
1882C8—21no—
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—1581no—
1887C8—1581no—
1888C8—1581no—
1889C8—1581no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—84no—
1908C22—84no—
1909C22—3164no—
1910C22—3168no—
1911C22—3164no—
1912C22—3161no—
1913C22—3161no—
1914C22—3161no—
1915C22—3161no—
1916C22—3161no—
1917C22—3161no—
1918C22—3161no—
1919C22—3161no—
1920C22—792no—
1921C22—792no—
1922C22—6324no—
1923C22—6324no—
1924C22—6324no—
1925C22—6324no—
1926C22—6324no—
1927C22—6324no—
1928C22—6324no—
1929C22—6324no—
1930C22—1581no—
1931C22—1582no—
1932C22—1581no—
1933C22—1581no—
1934C22—1581no—
1935C22—1581no—
1936C22—1581no—
1937C22—1581no—
1938C22AGL(1,ℤ/8)×D7912yes—
1939C22C22×D4×D7911yescharacteristic
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—21no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—3161no—
1949C4—3161no—
1950C4—3161no—
1951C4—3161no—
1952C4—3161no—
1953C4—792no—
1954C4—792no—
1955C4—1581no—
1956C4—1581no—
1957C4—1581no—
1958C4C2×#41×D7911yescharacteristic
1959C4H(5,𝔽2)×D7911yescharacteristic
1960C2—22no—
1961C2—41no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—81no—
1966C2—3162no—
1967C2—3161no—
1968C2—6321no—
1969C2—6321no—
1970C2—1582no—
1971C2—1582no—
1972C2#546×D7911yescharacteristic
1973C2C2×AGL(1,ℤ/8)×D7911yescharacteristic
1974C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3318C2
socleC22×C79C23×D4
hypercenter#3318D79
hypocenterC79#61155
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #23776959C2semidirect
2. D42×D79C2semidirect
3. #23775637C2semidirect
4. #23775635C2semidirect
5. #23775629C2semidirect
6. #23775627C2semidirect
7. #23775548C2semidirect
8. #23775546C2semidirect
9. #23775535C2semidirect
10. #23775423C2semidirect
11. #23775421C2semidirect
12. #23775420C2semidirect
13. #23775418C2semidirect
14. #23775222C2semidirect
15. #23775220C2semidirect
16. #23775208C2semidirect
17. #23775206C2semidirect
18. #23773773C2semidirect
19. #23773339C2semidirect
20. #23773337C2semidirect
21. #23773195C2semidirect
22. #23773018C2semidirect
23. #23773016C2semidirect
24. #23772875C2semidirect
25. #23772624C2semidirect
26. #23772624C2semidirect
27. #23772211C2semidirect
28. #23772133C2semidirect
29. C2×#19098566C2semidirect
30. #418×D79C2semidirect
31. C79×#3318C2semidirect
36. C2×#14579185C22semidirect
37. C2×#14579185C22semidirect
38. C22×#11929607C22semidirect
39. C2×M16×D79C22semidirect
40. #19099281C22semidirect
41. #19099277C22semidirect
42. #19099268C22semidirect
43. #19099263C22semidirect
44. #19099253C22semidirect
45. #19099251C22semidirect
49. #19099213C22semidirect
62. #19099119C22semidirect
67. #19099073C22semidirect
68. #19099073C22semidirect
75. C4×#11929623C22semidirect
78. C2×#14579119C22semidirect
79. #117×D79C22semidirect
80. #19098929C22semidirect
81. #19098928C22semidirect
82. #19098927C22semidirect
83. #19098908C22semidirect
84. #19098908C22semidirect
85. #19098908C22semidirect
86. #19098908C22semidirect
87. #19098889C22semidirect
88. #19098889C22semidirect
89. #19098888C22semidirect
90. #19098887C22semidirect
91. #19098885C22semidirect
92. #19098885C22semidirect
93. #19098884C22semidirect
94. #19098883C22semidirect
95. #19098881C22semidirect
96. #19098880C22semidirect
97. #19098878C22semidirect
98. #19098877C22semidirect
99. #19098875C22semidirect
100. #19098874C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098860C22semidirect
104. #19098852C22semidirect
105. #19098851C22semidirect
106. #19098842C22semidirect
107. #19098841C22semidirect
108. #19098815C22semidirect
109. #19098814C22semidirect
110. #19098813C22semidirect
111. #19098810C22semidirect
112. #19098809C22semidirect
113. #19098808C22semidirect
114. #19098807C22semidirect
115. #19098798C22semidirect
116. #19098797C22semidirect
117. #19098796C22semidirect
118. #19098793C22semidirect
119. #19098792C22semidirect
120. #19098791C22semidirect
121. #19098790C22semidirect
122. #19098764C22semidirect
123. #19098762C22semidirect
124. #19098762C22semidirect
125. #19098760C22semidirect
126. #19098758C22semidirect
127. #19098756C22semidirect
128. #19098756C22semidirect
129. #19098716C22semidirect
130. #19098716C22semidirect
131. #19098715C22semidirect
132. #19098715C22semidirect
133. #19098715C22semidirect
134. #19098715C22semidirect
135. #19098714C22semidirect
136. #19098714C22semidirect
137. #19098696C22semidirect
138. #19098696C22semidirect
139. #19098695C22semidirect
140. #19098695C22semidirect
141. #19098695C22semidirect
142. #19098695C22semidirect
143. #19098673C22semidirect
144. #19098665C22semidirect
145. #19098663C22semidirect
146. #19098654C22semidirect
147. #19098650C22semidirect
148. D8×Dic79C22semidirect
149. #19098643C22semidirect
150. #19098639C22semidirect
151. #19098638C22semidirect
152. #19098636C22semidirect
153. #19098635C22semidirect
154. #19098633C22semidirect
155. C8×C22⋊D79C22semidirect
156. (C22⋊D79)⋊C8C22semidirect
157. #19098604C22semidirect
158. #19098602C22semidirect
159. #19098602C22semidirect
160. #19098585C22semidirect
161. #19098569C22semidirect
162. #19098568C22semidirect
163. #19098567C22semidirect
167. #19098566C22semidirect
168. #19098566C22semidirect
169. #19098566C22semidirect
170. #19098566C22semidirect
171. #19098566C22semidirect
172. #19098566C22semidirect
173. #19098566C22semidirect
174. #19098566C22semidirect
175. #19098566C22semidirect
176. #19098566C22semidirect
177. #19098561C22semidirect
178. C2×#14579083C22semidirect
179. C2×#14579082C22semidirect
180. C2×#14579081C22semidirect
181. #102×D79C22semidirect
182. #102×D79C22semidirect
183. #102×D79C22semidirect
184. #102×D79C22semidirect
185. #19098525C22semidirect
186. #19098525C22semidirect
187. #19098515C22semidirect
188. #553×C79C22semidirect
190. #490×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #478×C79C22semidirect
194. #469×C79C22semidirect
195. #466×C79C22semidirect
196. #459×C79C22semidirect
197. #447×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. C2×#102×C79C22semidirect
246. C2×#11929613C23semidirect
247. C2×#11929613C23semidirect
249. C2×#11929612C23semidirect
250. C2×#11929612C23semidirect
252. C2×#11929609C23semidirect
253. C2×#11929609C23semidirect
254. C2×#11929608C23semidirect
260. C2×#11929607C23semidirect
261. C2×#11929607C23semidirect
263. C22×C79⋊C8C23semidirect
264. C2×C8×D79C23semidirect
265. C2×C8×D79C23semidirect
266. #14579160C23semidirect
267. #14579160C23semidirect
278. #14579153C23semidirect
292. #14579141C23semidirect
293. #14579141C23semidirect
295. #14579140C23semidirect
296. #14579140C23semidirect
320. #14579132C23semidirect
321. #14579132C23semidirect
339. C4×Dic158C23semidirect
342. #14579126C23semidirect
349. D4×Dic79C23semidirect
364. #14579120C23semidirect
371. #14579119C23semidirect
372. #14579119C23semidirect
378. C2×C4⋊Dic79C23semidirect
381. C4⋊C4×D79C23semidirect
382. C4⋊C4×D79C23semidirect
394. #14579095C23semidirect
395. #14579095C23semidirect
396. #14579094C23semidirect
397. #14579094C23semidirect
398. #14579094C23semidirect
399. #14579093C23semidirect
400. #14579092C23semidirect
401. #14579092C23semidirect
402. #14579092C23semidirect
403. C4⋊(C79⋊C8)C23semidirect
404. Dic79⋊C8C23semidirect
405. Dic79⋊C8C23semidirect
406. #14579086C23semidirect
407. #14579084C23semidirect
411. #14579083C23semidirect
412. #14579083C23semidirect
413. #14579083C23semidirect
414. #14579083C23semidirect
415. #14579083C23semidirect
416. #14579083C23semidirect
420. #14579082C23semidirect
421. #14579082C23semidirect
422. #14579082C23semidirect
423. #14579082C23semidirect
424. #14579082C23semidirect
425. #14579082C23semidirect
426. #14579082C23semidirect
430. #14579081C23semidirect
431. #14579081C23semidirect
432. #14579081C23semidirect
433. #14579081C23semidirect
434. #14579081C23semidirect
435. #14579081C23semidirect
436. C22⋊(C79⋊C8)C23semidirect
437. C22⋊(C79⋊C8)C23semidirect
438. (C2×D79)⋊C8C23semidirect
439. (C2×D79)⋊C8C23semidirect
440. (C2×D79)⋊C8C23semidirect
441. (C2×D79)⋊C8C23semidirect
442. #14579072C23semidirect
443. C8×Dic79C23semidirect
444. C8×Dic79C23semidirect
449. C2×D8×C79C23semidirect
450. C2×D8×C79C23semidirect
451. C2×M16×C79C23semidirect
452. C22×C8×C79C23semidirect
455. #125×C79C23semidirect
461. #121×C79C23semidirect
462. #121×C79C23semidirect
468. C4×D4×C79C23semidirect
469. #117×C79C23semidirect
470. C2×C4⋊C4×C79C23semidirect
471. #107×C79C23semidirect
472. #106×C79C23semidirect
473. #106×C79C23semidirect
474. C4⋊C8×C79C23semidirect
478. #102×C79C23semidirect
479. #102×C79C23semidirect
480. #102×C79C23semidirect
481. #102×C79C23semidirect
482. #102×C79C23semidirect
483. #102×C79C23semidirect
484. #102×C79C23semidirect
485. C22⋊C8×C79C23semidirect
486. C22⋊C8×C79C23semidirect
487. #97×C79C23semidirect
576. D4×D79#41semidirect
843. C22⋊D79AGL(1,ℤ/8)semidirect
997. #3318D79semidirect
1019. C79#61155semidirect
1032. #553C2×D79semidirect
1073. #490C2×D79semidirect
1085. #482C2×D79semidirect
1089. #481C2×D79semidirect
1097. #478C2×D79semidirect
1105. #469C2×D79semidirect
1113. #466C2×D79semidirect
1125. #459C2×D79semidirect
1140. #447C2×D79semidirect
1141. #447C2×D79semidirect
1143. #442C2×D79semidirect
1155. #435C2×D79semidirect
1178. #418C2×D79semidirect
1187. C2×#102C2×D79semidirect
1246. C2×D8C22×D79semidirect
1247. C2×D8C22×D79semidirect
1257. C2×M16C22×D79semidirect
1261. C22×C8C22×D79semidirect
1280. #125C22×D79semidirect
1326. #121C22×D79semidirect
1327. #121C22×D79semidirect
1375. C4×D4C22×D79semidirect
1390. #117C22×D79semidirect
1396. C2×C4⋊C4C22×D79semidirect
1413. #107C22×D79semidirect
1418. #106C22×D79semidirect
1419. #106C22×D79semidirect
1423. C4⋊C8C22×D79semidirect
1457. #102C22×D79semidirect
1458. #102C22×D79semidirect
1459. #102C22×D79semidirect
1460. #102C22×D79semidirect
1461. #102C22×D79semidirect
1462. #102C22×D79semidirect
1463. #102C22×D79semidirect
1470. C22⋊C8C22×D79semidirect
1471. C22⋊C8C22×D79semidirect
1473. #97C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237769592
D42×D792
#237756372
#237756352
#237756292
#237756272
#237755482
#237755462
#237755352
#237754232
#237754212
#237754202
#237754182
#237752222
#237752202
#237752082
#237752062
#237737732
#237733392
#237733372
#237731952
#237730182
#237730162
#237728752
#237726242
#237722112
#237721332
C2×#190985662
#418×D792
C79×#33182
#6115579